Curriculum Vitae
Department of Mathematics
University of Rochester
Last updated: September 30, 2026
Email: iosevich@math.rochester.edu
Date of Birth: December 14, 1967
Citizenship: United States of America
June 1993, Ph.D. in Pure Mathematics, University of
California at Los Angeles (UCLA)
Thesis: "Maximal operators associated to families of flat curves
and hypersurfaces"
Advisor: Christopher
Sogge
June 1989, BS in Pure Mathematics, University of Chicago
Fellow of the American Mathematical Society (2014)
Professor of the Year Award in the Natural Sciences, University of Rochester, 2015
LMS Distinguished Visiting Fellow at ICMU (2024)
International Congress of Chinese Mathematicians Best Paper Award (2024)
Frontiers of Science Best Paper Award (2025)
June 1997, United States National Science
Foundation Grant in Classical (PI)
Analysis, Grant
Number DMS97-06825 Amount: $53,000
March 2000, United States National Science
Foundation Grant in Classical (PI)
Analysis, Grant
Number DMS00-87339 Amount: $77,000
March 2003, United States National Science
Foundation Grant in Classical (PI)
Analysis, Grant
Number DMS02-45369 Amount: $114,000
June 2005, United States National Science
Foundation Collaborative Research Grant (PI)
Analysis, Grant Number DMS04-56306 Amount: $474,245
August 2009, United States National Science
Foundation Grant in Number Theory (PI)
and Algebra, Grant Number DMS10-45404 Amount: $303,000
April 2015, United States National Science
Foundation Conference Grant (PI)
for the ICHAA conference at the CUNY Graduate Center Amount:
$50,000
May 2015, United States National Security Agency
Grant H98230-15-1-0319 (PI)
in Combinatorics. Amount: $120,000
November 2019, HDR
TRIPODS (NSF): Collaborative Research: Foundations of
Greater Data Science (co-I)
Amount: $814,165
March 2022, NSF
DMS 2154480: International Conference on Microlocal
Analysis, Harmonic Analysis and Inverse Problems
Amount: $36,171
June 2022, NSF
DMS 2154232 On problems and connections between analysis,
geometry and combinatorics
Amount: $322,800
September 2024, Analytical methods
in geodesy, cryptography and machine learning, Institute of
Mathematics, Academy of Sciences of Armenia EU grant
Amount: $335,000
July 2025, NSF
DMS 2506858, The uncertainty principle, restriction theory,
signal recovery and sampling on manifolds
Amount: $301,542
Current Total: $3,000,923
September 20-28, LMS Distinguished Visiting Fellow at ICMU
July 1, 2019-Present, Affilated Faculty at the Georgen Institute for Data Science and Artificial Intelligence
July 1, 2010-Present, Professor of Mathematics, University of Rochester, Rochester, NY
September 1, 2005-May 31, 2010, Professor of Mathematics, University of Missouri-Columbia, Columbia, Missouri
January 1, 2008-July 31, 2008, Visiting Faculty and Program Organizer, Fields Institute of Mathematics, Toronto, Canada
September 1, 2002 to August 31, 2005, Associate
Professor in Department of Mathematics, University of
Missouri-Columbia,
Columbia, Missouri
July 2000 to September 2002, Assistant Professor in Department of Mathematics, University of Missouri-Columbia, Columbia, Missouri
May 2000 to April 2001, tenured Associate Professor
in Department of Mathematics,
Georgetown University,
Washington, District of Columbia
July 1998 to May 2000, Assistant Professor in
Department of Mathematics,
Georgetown University,
Washington, District of Columbia
Summer 1999, University of Illinois at Chicago, joint research with N. Katz facilitated by a CRB Grant.
September 1995 to December 1998, Assistant
Professor in Department of
Mathematics, Wright State
University, Dayton, Ohio
June/July 1998, Visiting Research Fellowship, University of New South Wales, Sydney, Australia.
Fall 1997, General Membership at the Mathematical Sciences Research Institute, Berkeley, California
September 1993 to September 1995, Postdoctoral
Fellow, McMaster
University,
Hamilton, Ontario, Canada
September 1989 to September 1993, Graduate Student,
Teaching Assistant and
Research Fellow, UCLA,
Los Angeles, California
Harmonic Analysis and Geometric Measure Theory
Data Science and Neural Networks
Additive Number Theory and Discrete Geometry
Analytic Number Theory
Reviving Ukrainian science: International Centre for Mathematics in Ukraine (ICMU) - EMS Magazine article
"Number of distances separating points has a new bound" - Quanta magazine article
"Merging fields, mathematicians go the distance on old problem" - Quanta magazine article
"Nasty" geometry breaks decades-old tiling conjecture - Quanta magazine article
"Why this Rochester math professor champions year-round undergraduate research" - University of Rochester News Center article
"Doctor's advice"- Careers magazine article about job search for Ph.Ds.
"UR's Covid-19 budget cuts lead to faculty frustrations" - University of Rochester, Campus Times article
"Mathematics students gain retail analytics experience through Parker Avery partnership" - Parker Avery Group podcast
Python, Maple, Machine Learning, Reinforcement Learning, Sales Forecasting Models, Technical Documentation
Ryan Mullen (Masters 2002) Prognos Inc.
Daniel Weidinger (Masters 2003) SETA Test Scientist at Shafer Corporation
George Arutunyants (Ph.D. 2006) The head of analytics at Prognos Inc.
Derrick Hart (Ph.D. 2008) Assistant Professor of Mathematics
Doowon Koh (Ph.D. 2008) Associate Professor of Mathematics at Chungbuk University, Korea
Janet Sipes (M.S. 2009) Arizona State University (graduate student)
Hannah Morgan (M.S. 2009) University of Chicago (graduate student)
Jeremy Chapman (Ph.D. 2010) Associate Professor of Mathematics at Lyons College, Arkansas
Steven Senger (Ph.D. 2010) Assistant Professor of Mathematics at the Missouri State University
Le Anh Vinh (Ph.D. 2011) Professor at the University of Hanoi
David Covert (Ph.D. 2011) Assistant Professor of Mathematics at the University of Missouri-St. Louis
Krystal Taylor (Ph.D. 2012) Assistant Professor of Mathematics at the Ohio State University
Esen Aksoy (Ph.D. 2014) Texas A&M University in Qatar
Mike Bennett (Ph.D. 2015) Visiting Assistant Professor at the Rochester Institute of Technology
Dillon Ethier (Ph.D. 2016) Seeking employment in statistical consulting industry
Brendan Murphy (Ph.D. 2016) Heilbron Postodoctoral Researcher at the University of Bristol
Bochen Liu (Ph.D. 2017) Postdoctoral Resercher at Bar-Ilan University, Israel
Philipp Birklbauer (Ph.D. 2019) Computer programmer in Chicago, Illinois
Dionel Jamie (Masters 2019) Ph.D. student at the University of Wisconsin-Madison
Nik Chatzikonstanti (Ph.D. 2020) Posdoctoral Researcher at the Okinawa Institute of Technology
Jonathan Passant (Ph.D. 2021) Heilbron Postdoctoral Researcher at the University of Bristol
Alex McDonald (Ph.D. 2021) Postdoctoral researcher at Ohio State University
Belmiro Galo (Ph.D. 2021) Visiting Assistant Professor of Mathematics at Colgate
Brianna Vick (Ph.D. 2021) Assistant Professor of Mathematics at Clayton University
Gail Jardine (Ph.D. 2022) Defense Contractor, Virginia
Tingsong Jiang (Ph.D. 2022) Seeking a position in Big Data
Tritium Shen (Ph.D. 2022-expected) Data Science internship, Houston, TX
Shashank Chorge (Ph.D. 2023) Postdoctoral researcher at IIT
Brian McDonald (Ph.D. 2023) Postdoctoral researcher at UGA
Firdavs Rakhmonov (Ph.D. 2023) Postdoctoral researcher at St. Andrews University, Scotland
Shashank Chorge (Ph.D. 2023) Postdoctoral researcher at the Indian Institute of Technology
Donggeun Ryou (Ph.D. 2024) Postdoctoral researcher at the University of Indiana
Anirudh Gurjale (Masters 2024)
Pablo Bhowmick (Ph.D. 2026-expected)
Shengze Duan (Ph.D. 2026-expected)
Will Burstein (Ph.D. 2026-expected)
Hari Nathan (Ph.D. 2026-expected)
Quy Pham (Ph.D. 2026-expected)
Shantanu Deodhar (Ph.D. 2027-expected)
Ella Yu (Ph.D. 2028-expected)
Zhihe Li (Ph.D. 2028-expected)
Haoyuan Tian (Ph.D. 2028-expected)
Svetlana Pack (PhD 2030-expected)
The following is the list of students who completed an undergraduate honors thesis under my direction.
Xiaoqing Tang (2012) Microsoft
Emmett Wyman (2014) Johns Hopkins University (graduate student in mathematics) and now a postdoc at Rochester
Yujia Zhai (2014) Cornell University (graduate student in mathematics) and now a postdoc at Bordeaux
Luke Vaicunas (2015) Parker Avery
Brian McDonald (2016) University of Chicago (graduate student) and now a graduate student at Rochester
Lisa Rosenfeld (2016) FDIC Pittsburgh
Adam Scrivener (2016) Epic Systems, Madison, WI
Ben Dees (2017) Johns Hopkins University, Baltimore, MD (graduate student in mathematics)
Daniel Rubery (2017) Google
Adam Lott (2017) University of California Los Angeles (graduate student in mathematics)
David Soukup (2018) University of California Los Angeles (graduate student in mathematics)
Dionel Jaime (2018) University of Wisconsin (graduate student in mathematics)
Zhonghui Sun (2018) Michigan State University (graduate student in mathematics)
Manuel Stoeckl (2019) Dartmouth University (graduate student in computer science)
Zachary Polansky (2019) Google
Byron Osterweil (2020) University of California-Irvine (graduate student in mathematics)
Dustin Kasser (2020) University of Georgia (graduate student in mathematics)
Linus Ge (2021) Ohio State University (graduate student in mathematics)
Xiaobo Luo (2021) Harvard University (graduate student in data science)
Yiyang Su (2021) Michigan State University (graduate student in computer science)
Mandar Juvekar (2022-Expected) Boston University (graduate student in computer science)
Arian Nadjimzadah (2022-Expected) UCLA (graduate student in mathematics)
Conor Taliancic (2022) Taking a gap year
Nathan Whybra (2022) Computer programmer
Thomas O'Neill (2022) Taking a gap year
Cierra Tinson (2022) Michigan State University (graduate student in physics)
Michele Martino (2022) University of Washington (graduate student in applied math/data science)
Filippo Iulianelli (2022) University of Pennsylvania (graduate student in physics)
Anna Myakushina (2023) University of Maryland (graduate student in statistics)
Livia Betti (2023) Taking a gap year
Yakun Yang (2023) University of Michigan (graduate student in statistics)
Yun Long Xu (2023) University of Chicago (graduate student in neuroscience)
Rachel Dennis (2023) Newgrange design (PCB designer)
Elana Elman (2024) ASML (software engineering)
Peter MacNeil (2024) Epic (consulting company)
Svetlana Pack (2024) Penn State University (graduate student in mathematics)
Eli Seamans (2024) University of Syracuse (graduate student in mathematics)
Nathan Skerrett (2024) University of Rochester (graduate student in mathematics)
Rose Wang (2024) Duke University (graduate program in statistics)
William Hagerstrom (2025) Working in industry
Gabe Hart (2025) University of Rochester (graduate student in computer science)
Zhifeng Guo (2025--expected) Washington University in St. Louis (graduate student in mathematics)
Tran Duy Anh Le (2025) University of California San Diego (graduate student in mathematics)
Isaac Li (2025) Working in industry
Terrence Wong (2025) Working in industry
Aadit Jain (2026-expected)
Nate Shaffer (2026-expected)
Noah Ernst (2026-expected)
2002-2010: Informal summer research programs for undergraduate students at the University of Missouri.
2011-Present: Informal year-round research programs for undergraduate students at the University of Rochester and neighboring colleges and universities.
2018-Present: StemForAll summer research program at the University of Rochester with special emphasis on participants who are women and members of underrepresented groups.
2019-2023: NSF Tripods Research Program in mathematical methods in data science with special emphasis on participants who are women and members of underrepresented groups.
2021-Present: Year-round undergraduate research program in applied and theoretical aspects of data science
2020 - Present SMALL REU at Williams College
ICOFARA 2026 International Conference on Fractal Geometry and Related Areas
Vertical Integration Workshop at the University of Rochester, April 2026
Vertical Integration Workshop at the University of Rochester, November 2025
International Conference on Microlocal Analysis, Harmonic Analysis and Inverse Problems, August 2022
CIRM (Luminy) workshop on geometric measure theory, ergodic theory and combinatorics, January 2021
ICERM workshop on Frame Theory and Exponential Bases, June 4-8, 2018
Excelsior Lectures in Analysis, with L. Lanzani, September 2017 at Syracuse University.
Excelsior Lectures in Analysis, with L. Lanzani, September 2016 at the University of Rochester.
International Conference on Harmonic analysis and Applications, with A. Mayeli and G. Olafsson, June 2015.
AMS Special Session, Rochester, NY, special session in memory of Daryl Geller, with A. Mayeli.
Fields Institute Program, entitled "Trends in Harmonic Analysis", January 1- June 30, 2008, (with I. Laba, M. Lacey, and E. Sawyer).
AMS Special Session, Davidson, North Carolina, March 2007 (with M. Lacey and K. Oskolkov).
AMS Special Session, Salt Lake City, Utah, October 3-5, 2006 (with M. Lacey).
Combinatorial and additive number theory (CANT 2005). A conference in celebration of Mel Nathanson's 60th birthday. (Member of the organizing committee).
CMS conference at Simon Fraser University in Vancouver (with I. Laba), December 6-8, 2003.
ESI (Schrodinger Insitute in Vienna) Workshop on mathematics related to the Kakeya Needle Problem, (with I. Laba and D. Muller), Vienna, Austria, Fall 2003.
A conference on Harmonic Analysis and Partial Differential Equations at the University of Missouri, May 8-11, 2002, (with L. Grafakos, S. Hofmann, and I. Verbitsky).
Workshop on convexity and Fourier analysis, (with L. Brandolini, L. Colzani, and G. Travaglini), Milan, Italy, June 2001.
In 2008, Izabella Laba, Sinai Robins and I launched a new journal- Online Journal of Analytic Combinatorics, or OJAC for short. The current managing editors of the journal are Eyvindur Palsson and Steven Senger. The current advisor board consists of Alez Iosevich, Sinai Robins and Steven Senger. Please check out the OJAC web page at http://www.analytic-combinatorics.org/index.php/ojac
Journal of Pseudo-Differential Operators and Applications 2008-Present
Harmonic analysis editor of the Proceedings of the American Mathematical Society 2011-January 2020
Member of the editorial board of the Journal of Fourier Analysis and Applications 2016-Present
Carus Manuscripts (MAA) Editorial Board January 2017-2022
Integers Journal Editorial Board October 2016-Present
Fractals and Fractional Editorial Board 2021-Present
Associate Editor of the Canadian Mathematical Society Publications Committee, 2023-Present
Associate Editor of the Canadian Journal of Mathematics, 2023-Present
Associate Editor of the Canadian Mathematical Bulletin, 2023-Present
Associate Editor of the Journal of Functional Analysis, 2025-Present
Member of the Advisory Board of the Vietnam Math Circles, January 2024-Present
Member of the Best Paper in the Mathematical Society panel established by the City of Beijing and executed by the Yanqi Beijing Institute of Mathematical Sciences and Applications, 2023
Associate Editor of the Canadian Mathematical Society Publications Committee, 2023-2025
Member of the University of Rochester AAUP Chapter, July 2020-Present.
Meliora Committee (advisory committee to the Chair of the Department of Mathematics) August 2019-April 2020.
Committee on salary gender equity, University of Rochester, member, September 2018-May 2019.
GradStemForAll summer program with emphasis on women and underrepresented groups, 2018-Present.
American Engagement Network, member, April 2018-Present.
AQUAD Review University of Massachusetts-Boston, March 2018.
Mentored Allen Liu, an Intel High School Science Competition Finalist, 2016.
The Classical Analysis moderator for arxiv.org, September 2014-2021.
Member of the Math Arxiv advisory committee, April 2014-Present.
Summer research program for undergraduate students at the University of Rochester, June-August 2011-Present.
Director of Graduate Studies at the University of Rochester Department of Mathematics, January 2010-August 2014.
Member of the AMS Committee on Meetings and Conferences, January 2009-April 2012.
Summer program for high school students on Fourier analysis in finite fields at the University of Missouri, July 24-28, 2006.
Campus Writing Program's Fall 2005 Faculty Workshop.
Putnam coach, University of Missouri-Columbia, 2000-2009.
MU McNair scholars program- departmental liason, 2004-2010.
Volunteer for the 2004 MAA High School Lectureship Program.
Faculty mentor for the University of Missouri summer minority outreach program, Summer 2003, mentor for Ivy Hunter.
Participant in the Teaching Renewal Conference at the University of Missouri 2002.
Member of the Judge Panel of the 2000 USA College Academic Team. Sponsored by USA TODAY, 2000.
High School Outreach Program, sponsored by Wright State University, 1996.
Volunteer tutor, Bret Harte Elementary School, Chicago, Illinois, 1986.
Tyler Jones-Salisbury (2005-2009)
Allen Liu (2014-2017)
Davey Fitzpatrick (2015-2018)
Ty Lewis (2020-2021)
Noah Lee (2019-2020)
Maxwell Sun (2019-2022)
Kevin Xue (2021-2022)
Amy Fang (2021-2022)
Surya Ramkumar (2022-2023)
Meera Jayaraman (2023-Present)
Ben Song (2025-Present)
Professor of the Year Award in the Natural Sciences, University of Rochester, 2015
Nominated for the University of Missouri Kemper Award for Excellence in Teaching, 2008 and 2009.
Nominated for Provost's Outstanding Junior Faculty Teaching Award, University of Missouri, 2003
Wolper's house teaching award, University of Missouri, 2001.
Wright State University Athletics Department Award, 1997.
Wright State University Athletics Department Award, 1995.
Nominated for Undergraduate Student Government Teaching Award at McMaster University, 1994.
September 2024 LMS Distinguished Lecture Series in Lviv and Kiyiv
September 2024 A series of invited lectures at the Hausdorff Institute in Bonn, Germany
January 2023 An invited plenary lecture at the
Renyi Institute conference on Fourier Analysis and Additive
Problems
Title: Uniform distribution and pseudo-randomness
July 2023 An invited plenary talk at the 1st
International Forum in Basic Science, Beijing, China
Title: Graphs and multi-linear operators
April 2023 An invited Pi Mu Epsilon Lecture at the
University of Nebraska-Lincoln
Title: From analysis to combinatorics to number theory and back
March 2023 An invited plenary talk at Harmonic
Analysis and Fractal Sets Conference at the Ohio State University
Title: Fractal analysis and complexity theory
February 2019 A plenary lecture at the Weitzmann
Institute Conference in honor of Alexander Olevskii
Title: Geometric measure theory and applications to frame theory
September 2018 A plenary lecture at the 7th
International Conference "Harmonic Analysis and Approximation",
Armenia
Title: Finite point configurations and frame theory
February 2018 A lecture series on the Falconer
Conjecture at the Louisiana State University
Title: Falconer distance conjecture and applications to functional
analysis
September 2017 A plenary lecture at the conference
at the University of Wroclaw in honor of Eli Stein
Title: Finite point configurations, Hausdorff dimension and
rigidity
October 2016 A plenary lecture at the Integers
Conference in Georgia
Title: Geometric configurations in vector spaces over finite
fields
September 2016 A keynote address at the
combinatorial geometry conference in Hanoi, Vietnam
Title: Analytic, combinatorial and number theoretic methods in the
study of finite point configurations
May 2015 A plenary lecture at the Complex Analysis
and Dynamical Systems VII conference in Nehariya, Israel
Title: The Fuglede Conjecture holds in two dimensional vector
spaces over prime fields.
August 2012 A lecture series at Chungbuk
University, South Korea
Title: Multi-linear bounds and applications to geometric measure
theory and combinatorics
March 2012 An invited lecture at the analysis
seminar at Princeton University
Title: Distribution of simplexes in discrete and continuous
settings and multi-linear operators
June 2011 An invited lecture at the Edinburgh
Workshop on Harmonic Analysis
Title: Geometric consequences of analytic inequalities
September 2008, An invited lecture at the
Oberwolfach (Germany) meeting on Discrete Geometry
Title: Geometric configurations in Euclidean, integer and finite
field geometries: combinatorial and algebraic aspects
July 2008, An invited lecture at the Oberwolfach
(Germany) meeting on Harmonic Analysis
Title: Geometric configurations in Euclidean, integer and finite
field geometries
April 2008, An invited lecture at the Fields
Institute (Toronto, Canada) Conference on Additive Number Theory
Title: Distribution of dot products in vector spaces in finite
fields and applications to problems in additive number theory and
geometric combinatorics
October 2007, A plenary address to the American
Mathematical Society at DePaul University, Chicago
Title: Incidence theory: discrete, continous and arithmetic
aspects
March 2007, A plenary address to the American
Mathematical Society at Davidson College, North Carolina
Title: Incidence theory: discrete, continous and arithmetic
aspects
November 2006, A lecture series on harmonic
analysis at the University of Bristol (four lectures)
Title: Harmonic analysis in vector spaces over finite fields
May 2006, CUNY, New York, CANT 2006 (three
lectures)
Title: "Three lectures on analytic, combinatorial and number
theoretic aspects of incidence theory"
May 2003, Princeton University Analysis Seminar
Title: Combinatorics of distance sets and applications
April 2003, Riviere-Fabes Symposium in Analysis
Title: Analysis and combinatorics of distance set
March 2003, The Erwin Schrodinger International
Institute (Vienna, Austria) for Mathematical Physics
Title: Analysis and combinatorics of distances sets
June 2002, University of Padova (Padova, Italy),
Minicorsi di Analisi Matematica (three lectures)
Title: "Geometric combinatorics and applications to analysis"
Countries: Argentina, Armenia, Australia, Austria, Canada, Catalonia, Czech Republic, China, England, Finland, France, Georgia, Germany, Greece, Hungary, India, Israel, Italy, South Korea, Poland, Russia, Scotland, Spain, Sweden, Taiwan, Turkey, Ukraine, Vietnam, Wales.
March, 2027 An invited plenary lecture at the Baton
Rouge Analysis Workshop
Title: TBD
January, 2027 An invited lecture at the Special
Session on Problems at the Interface of Harmonic Analysis and
Geometric Measure Theory at JMM2027
Title: TBD
December 15-18, 2026 Applied Harmonic Analysis and
Data Science, Chennai, India
Title: Gradient descent as the method of proof
December, 2026 Harmonic analysis and geometric measure conference at Missouri State
November 5, 2026 An invited colloquium lecture at
St Andrews University, Scotland, UK
Title: TBD
November 3, 2026 An invited analysis seminar
lecture at St Andrews University, Scotland, UK
Title: TBD
October, 2026 An invited lecture at the Sectional
AMS Meeting at Kennesaw State University
Title: Spectral synthesis, restriction, and related problems
October, 2026 An invited lecture to the mathematics
graduate students
Title: Seeing structure in sparse sets and sparse signals
September, 2026 An invited workshop lecture at
Mittag-Leffler Institute program on the Interactions between
fractal geometry, harmonic analysis, and dynamical systems
Title: On spectral synthesis and the Fourier ratio
August 24-26, 2026 An invited plenary talk at the
TAPDE 2026 workshop in Tbilisi, Georgia
Title: On spectral synthesis and the Fourier ratio
July 18-22, 2026 An invited lecture at the
Philadelphia Harmonic Analysis and Differential Equations
conference at the University of Pennsylvania
Title: The Fourier ratio in discrete, continuous and geometric
settings
June 29-July 3, An invited lecture at the Geometric
measure theory: unraveling the structure of singularities
conference in Trento, Italy
Title: Spectral synthesis and the Fourier ratio
June 15-21, 2026 An invited plenary lecture at the
48th Summer Symposium in Real Analysis in St. Louis, Missouri
Title: The Fourier ratio as the key complexity parameter in
several problem in harmonic analysis
June 8-12, 2026 An invited lecture at the Workshop
on Harmonic Analysis and Applications to Ramsey Theory, Renyi
Institute, Budapest, Hungary
Title: Spectral synthesis in Euclidean space and Riemannian
manifolds
June 1-6, 2026 An invited lecture series (3
lectures) at the workshop on geometric measure theory, Budapest,
Hungary
Title: Signal recovery and complexity
May 28, 2026 An invited lecture at the focused
workshop on geometric measure theory, Renyi Institute, Budapest
Title: Spectral synthesis in Euclidean space and Riemannian
manifolds
May 25, 2026 Two invited lectures at the focused
workshop on geometric measure theory, Renyi Institute, Budapest
Title: The Fourier ratio in discrete, continuous and geometric
settings
April 16-19, 2026 An invited lecture at OTHA2026 in
Yerevan, Armenia
Title: The Fourier ratio and time series analysis
March 4-6, 2026 An invited analysis seminar talk at
Penn State University
Title: The Fourier ratio and complexity of signals
March 4-6, 2026 An invited undergraduate colloquium
talk at Penn State University
Title: An elementary perspective on exact signal recovery
February 2026 An invited colloquium lecture at
Virginia Tech University
Title: The Fourier ratio in discrete, continuous and geometric
settings
January, 2026 An invited lecture at the Recent
Advances in Harmonic Analysis with applications to Discrete
Analysis and GMT at JMM2026
Title: The Fourier ratio and the structure of measures
January, 2026 An invited lecture at the special
session on New Directions in Geometric Measure Theory and
Effective Methods at JMM2026
Title: Complexity of time series and Fourier analysis
December 8-13, 2025 An invited series of five
lectures at the workshop on Harmonic Analysis and Operator Theory
at IISER Mohali, India
Title: The Fourier ratio, signal recovery and random polynomial
approximation
December 4-8, 2025 An invited lecture at the
Practical Approaches to Mentoring special session at the winter
meeting of the Canadian Math Society
Title: Undergraduate mentoring as an extension of research
December 4-8, 2025 An invited lecture at the Recent
Progress in Convex and Discrete Geometry special session at the
winter meeting of the Canadian Math Society
Title: Bourgain, Talagrand and exact signal recovery
December 4-8, 2025 An invited lecture at the
Analytic-Geometric Synergies special session at the winter meeting
of the Canadian Math Society
Title: The Fourier ratio in discrete, continuous and geometric
settings
November 4, An invited general audience talk at the
University of Alabama-Birmingham
Title: Incidences of points and lines via the Cauchy-Schwartz
inequality
November 3, An invited colloquium lecture at the
University of Alabama-Birmingham
Title: Signal recovery, complexity of time series, and
orthogonality
November 1-2, 2025 An invited plenary lecture at
the 2025 Northeastern Analysis Meeting at the University of
Delaware
Title: From Bourgain and Talagrand to the imputation of missing
values in time series
October 30, An invited colloquium lecture at the
University of Connecticut
Title: Signal recovery and imputation of time series
October 30, An invited seminar talk at the
University of Connecticut
Title: The Fourier ratio and complexity of signals
October 18-19, 2025 An invited talk at the AMS
Special Session on Harmonic Analysis, Frame Theory, and Tilings at
St Louis University
Title: Frames, orthogonality, and exact signal recovery
October 18-19, 2025 An invited talk at the AMS
Special Session on Geometric Measure Theory at St Louis University
Title: The Fourier Ratio
October 10, 2025 Distinguished colloquium at the
University of British Columbia
Title: Time series analysis and Fourier restriction theory
October 9, 2025 An invited lecture at Harmonic and
Spectral Analysis 2025
Title: The Fourier ratio and complexity of time series
October 3-4, 2025 An invited talk at the AMS
Special Session on Ergodic Theory and Discrete Analysis in Tulane
Title: Frames, orthogonality, and exact signal recovery
September 21-26 2025, An invited lecture at Banach
Center at Bedlewo conference on Approximation, Geometry and
Probability in High Dimensions
Title: Uncertainty principles, spectral synthesis and restriction
theory
July 21-25 2025 An invited lecture at the
Mathematical Congress of the Americas
Title: Restriction, decoupling and uncertainty principles
June 19-July 12 An invited lecture series (5
lectures) at the Yerevan Summer School
Title: Exact signal recovery and applications to data analytics
June, 2025 An invited lecture at the Fourier
Analysis and Discrete Problems conference in Thessaloniki, Greece
Title: Spectral synthesis and discrete restriction theory
June 2025, An invited lecture at the Conference on
Modern Trends in Fourier Analysis, CRM, Barcelona
Title: Sampling on manifolds, randomness and the uncertainty
principle
June 2025, An invited lecture at the IMAG New
Trends in Arithmetic Combinatorics workshop in Granada, Spain
Title: On arithmetic aspects of exact signal recovery
May 2025 An invited lecture at CANT2025 conference
Title: The Fourier uncertainty principle, exact recovery, and
applications
May 23-25 An invited lecture at CanaDAM2025
minisymposium on Finite Fields and Finite Geometry
Title: On connections between exact signal recovery and Erdos
problems in vector spaces in finite fields
May 14-17 2025 An invited plenary talk at the
Integers Conference
Title: Signal recovery, Freiman's theorem and restriction theory
April 3, 2025 An invited analysis seminar talk at
the University of Pennsylvania
Title: Signal recovery, L1-minimization, restriction theory and
applications to data analytics
March 22-23 An invited lecture at the New Classes
of Spectral Duality, Inverse Problems, Operators, Analysis, and
Algorithms workshop
Title: From exact signal recovery to estimating missing values in
times series
March 21 2025 An invited colloquium lecture at
Kennesaw State University
Title: Exact signal recovery and applications to data science
March 20, 2025 An invited analysis seminar lecture
at Kennesaw State University
Title: L1 minimization, Bourgain's theorem, and exact signal
recovery
February 27, 2025 An invited analysis seminar
lecture at Northwestern University
Title: Restriction theory, randomness and exact signal recovery
February 26, 2025 An invited undergraduate
colloquium talk at Northwestern University
Title: Signal recovery, Fourier uncertainty, and time series
analysis
February 6, 2025 An invited presentation at PiRIT,
the Rochester Institute of Technology undergraduate mathematics
club
Title: Signal recovery and data science
February 1, 2025 Math Research Weekend at SUNY Genneseo
Topic: Theoretical and computational aspects of exact signal recovery
January 2025 An invited talk at the Punjab
University
Title: Exact signal recovery and applications to recovering
missing values in time series
January 2025 An invited talk at the India Institute
of Education IISER Mohali
Title: An overview of finite point configuration problems in
vector spaces over finite fields
January 31, 2025 Invited colloquium lecture at SUNY
Genneseo
Title: Exact signal recovery and connections
December 16-20, Harmonic Analysis conference at
NCTS (Taiwan)
Title: Uncertainty principles in discrete and continuous settings
November 27, 2024, An invited lecture at One World
Fractals
Title: Discrete, continuous and arithmetic aspects of exact signal
recovery
October 23, 2024, PANTHA
Seminar at Purdue University
Title: Multi-linear restriction, uncertainty principles and signal
recovery
October 19-20, 2024, Recent Advances in Harmonic
Analysis, AMS Special Session in SUNY, Albany
Title: Uncertainty principles, restriction theory and signal
recovery II (Part I was delivered by Azita Mayeli)
October 19-20, 2024 Probabilistic and Analytic
Aspects of Convexity, AMS Special Session in SUNY, Albany
Title: Uncertainty principle on Riemannian manifolds
October 10, 2024, Invited colloquium lecture at the
Florida International University
Title: Uncertainty principles on Riemannian manifolds
September 2024, LMS
Distinguished Lecture Series (two lectures) at the University of
Lviv
Title: Signal recovery and restriction theory
September 2024, Distinguished
LMS Lecture Series
(two lectures) at the Kyiv School of Economics
Title: Linear and multi-linear restriction theory with
applications to signal recovery
September, 2024, A series of four invited lectures on learning theory and signal processing at the Hausdorff Institute in Bonn, Germany
September 2-7, 2024, An invited plenary lecture
at the XIV International Conference of the Georgian Mathematical
Union
Title: Uncertainty principles, restriction theory and signal
recovery
August 28-31, 2024, An invited plenary
lecture at the Tbilisi Analysis and PDE workshop
Title: Finite point configurations, graphs and multi-linear forms
July 2024 An invited lecture at the Conference on
Pointwise Ergodic Theory and Connections in Bristol, England
Title: Weighted restriction theorems and the uncertainty principle
June 2024, Analysis Seminar at the University of
Iraklion
Title: Exact signal recovery and restriction theory June 2024
May 2024 An
invited lecture at the ICERM workshop on Optimal Point
Distributions and Related Fields
Title: Restriction theory, uncertainty principles and arithmetic
May 2024 An
invited talk at the MATRIX conference at ANU, Australia
Title: Restriction theory, point configurations and complexity
May 2024 Number Theory Seminar,
Koc University, Istanbul
Title: Exact signal recovery and restriction theory
May 2024 Number Theory Seminar, Sabanci University,
Istanbul
Title: Exact signal recovery and restriction theory
April 22, 2024 An invited seminar lecture at Brown
University
Title: Multi-linear forms, graphs and Lp-improving measures\
March 23-24, 2024 An invited lecture in the AMS
Special Session on Geometric Measure Theory and Partial
Differential Equations in Tallahassee, Florida
Title: Multi-linear forms, graphs and Lebesgue spaces
March 23-24, 2024 An invited lecture in the AMS
Special Session on Bases and Frames in Hilbert Spaces in
Tallahassee, Florida
Title: Restriction theory, uncertainty principles and signal
recovery
March 19, 2024 An invited seminar lecture at the
Tbilisi Analysis and PDE seminar
Title: Uncertainty principle, restriction theory and signal
recovery
March 4, 2024 An invited introductory lecture for
graduate students at the Pittsburgh Links Among Analysis and
Number Theory conference at Carnegie Melon University
Title: Restriction theory, uncertainty principles and signal
recovery
March 4-7, 2024 An invited plenary lecture at the
Pittsburgh Links Among Analysis and Number Theory conference at
Carnegie Melon University
Title: Uncertainty principles, geometry and combinatorics
March 1, 2024 An invited lecture at the Workshop on
Dynamical Sampling, Frame Theory, Harmonic Analysis, and
Applications in Vanderbilt
Title: Restriction theory, uncertainty principles and signal
recovery
February 29, 2024 An invited analysis seminar
lecture at Binghamton University
Title: Signal recovery, restriction and uncertainty principles
January 29-February 2, 2024 An invited plenary
lecture at the Renyi Institute conference on Fourier Analysis and
Additive Problems
Title: Uniform distribution and pseudo-randomness
December 8-10, 2023, Analysis Conference at Georgia
Tech
Title: Exact signal recovery and restriction theory
November 2, 2023 Colloquium talk at Cornell
University
Title: Curvature, restriction and signal recovery
October 6, 2023 HSA Conference
Title: Exact signal recovery and restriction theory
September 22-24, 2023, International Conference on
Approximation and Potential Theory, Savannah, GA
Title: Exact signal recovery and restriction theory
September 15, 2023 University of Rochester Analysis
Seminar
Title: Exact signal recovery and restriction theory
August 2023 An invited series of lectures at the
Informal Analysis Seminar at Kent State University (four lectures)
Title: Geometric measure theory and data science
July 17-19, 2023 An invited plenary lecture at the
Vietnam National University Geometry Conference
Title: Finite point configurations: challenges and opportunities
July 2023 An invited lecture series at the
University of Harbin, China (6 lectures)
Title: Geometric measure theory and applications
July 2023 An invited lecture at the University of
Tbilisi, Georgia
Title: Finite point configurations and complexity
July 2023 An
invited lecture at the Mathematics in Armenia: Advances and
Perspectives conference in Yerevan, Armenia
Title: Finite point configurations: analytic, combinatorial, and
number theoretic features
June 29, 2023 An invited lecture at the Number
Theory Web Seminar
Title: Applications of lattice point bounds to data science
June 2023 An
invited talk the Harmonic analysis, partial differential
qquations and geometric measure theory in Bilbao 2023 conference
Title: Learning theory, complexity and point configurations
June 4-9, 2023 A research visit to Oberwalfach (MFO) program Incidence problems in Harmonic analysis, geometric measure theory and ergodic theory
May 2023 An invited talk at the annual meeting of
the Italian harmonic analysts in Milan, Italy
Title: Times series, complexity and learning theory
May 2023, An invited talk at Combinatorics and
Number Theory Conference at CUNY
Title: A variant of the Erdos distance problem in vector spaces
over finite fields
May 19, 2023 An invited analysis seminar talk at
Concordia University, Montreal, Canada
Title: Simplexes in Euclidean space and the Vapnik-Chervonenkis
dimension
April 26, 2023 An
invited Pi Mu Epsilon Lecture at the University of
Nebraska-Lincoln
Title: From analysis to combinatarics to number theory and back
April 26, 2023 An invited Discrete Mathematics
seminar at the University of Nebraska-Lincoln
Title: Vapnik-Chervonenkis dimension and point configurations in
vector spaces over finite fields
April 15-16, 2023 An invited talk at the AMS
Sectional Meeting in Cincinnati- Special Session on the interface
of geometric measure theory and harmonic analysis
Title: Uniform distribution, point configurations and
pseudo-randomness
March 25-26, 2023 An invited
plenary talk at Harmonic Analysis and Fractal Sets Conference at
the Ohio State University
Title: Fractal analysis and complexity theory
March 18-19, 2023 An invited talk at the AMS Spring
Southeastern Sectional Meeting in Atlanta, GA
Title: Vapnik-Chervonenkis dimension, systems of equations and
point configurations
March 17, 2023 An invited analysis seminar talk at
Clemson University
Title: VC-dimension and the Falconer distance problem
March 7, 2023 An invited colloquium talk at the
University of Alabama
Title: Point configurations and complexity theory
March 1, 2023 An invited seminar talk at Brown
University
Title: Complexity and finite point configurations
February 2023 An invited talk at the Institute for
Advanced Study (Princeton)
Title: Finite point configuration and the Vapnik-Chervonenkis
dimension
Feburary 2023 An invited talk at the CUNY
combinatorics seminar
Title: Graphs, multi-linear forms and operators
February 2023 An invited seminar talk at the
Institute for Advanced Study, Princeton
Title: Complexity and finite point configurations
January 2023 An invited talk at the NYU/CUNY
Geometry Seminar
Title: Complexity and point configurations
January 2023 An invited lecture at the JMM Special
Session on Distance problems in continuous, discrete and finite
field settings
Title: Distance problems and the VC-dimension
December 2022 An invited talk at the CMS Special
Session on Approximation Theory
Title: Vapnik-Chervonenkis dimension and point configurations
November 2022 An invited talk at the Extremal
Problems in Harmonic Analysis, Convexity and Bellman functions
ICERM conference
Title: Discrete energy and large data sets
November 2022 An invited talk at the Banff meeting
on analytic and probabilistic combinatorics
Title: Vapnik-Chervonenkis dimension and Erdos type problems
November 2022 An invited colloquium talk at the
Northern Illinois University
Title: Finite point configurations: analysis, arithmetic and
complexity
November 2022 An invited talk at the Workshop on
Harmonic Analysis (Beijing)
Title: Finite point configurations and frames
November 2022 An invited talk at the analysis
seminar at the University of Pennsylvania
Title: Geometric measure theory and machine learning
October 2022 An invited talk at the Discrete
Analysis Working Group Part 4
Title: Group actions and finite point configurations
October 2022 An invited talk at the Discrete
Analysis Working Group Part 3
Title: The Erdos-Falconer distance problem over finite fields
October 2022 An invited colloquium lecture at IUPUI
Title: Complexity and finite point configurations
October 2022 An invited seminar lecture at the
IUPUI graduate student seminar
Title: Tiling and bases in vector spaces over finite fields
October 2022 An invited talk at the Discrete
Analysis Working Group Part 2
Title: Fuglede conjecture in the plane over the integer modulo a
prime
October 2022 An invited lecture at the University
of Toronto analysis seminar
Title: On some connections between geometric measure theory and
data science
October 2022 An invited at the Discrete Analysis
Working Group Part 1
Title: Sums, products and finite point configurations
September 2022 An invited lecture at the University
of Rochester number theory seminar
Title: Vapnik-Chervonenkis dimension and finite point
configurations
September 2022 An invited lecture at SUMS
(University of Rochester undergraduate mathematics club)
Title: Several proofs of the infinity of primes, and a few
comments on why undergraduate research is essential
August 2022 An invited lecture at the University of
Hanoi
Title: Uniform distribution and point configurations
August 2022 A presentation to perspective students
at the branch office of the University of Rochester in Ho Chi Minh
City
Title: Why Rochester is a great place for foreign students
June 2022 An invited lecture at the University of
the Basque Country
Title: From geometric measure theory to data science
June 2022 An invited lecture at CRM Barcelona in
honor of Michael Lacey's 60th birthday
Title: From
geometric measure theory to data science
June 2022 An invited lecture at the Harmonic
Special Session at the CMS conferene in St Johns, Newfoundland,
Canada
Title: Point configurations and exponential frames
May 2022 An invited lecture at Combinatorics
Meeting at JKH, Linz, Austria
Title: Point configurations and the Vapnik-Chervonenkis dimension
May 2022 An online lecture at the Currents Trends
in Abstract and Applied Analysis conference in Ivano-Frankivsk
Title: Exponential bases, point configurations and curvature
April 2022 An invited talk at the analysis seminar
at UCLA
Title: Some general perspectives on point configurations in
Euclidean space
March 2022 An invited colloquium talk at the
University of Arizona
Title: Fourier series and point configurations
March 2022 An invited lecture at the University of
Rochester SUMS
Title: Cauchy-Schwartz and friends
February 2022 An invited talk at the
Korea-Taiwan-Vietnam Joint Seminar
Title: A universal viewpoint on finite point configurations
February 2022 An invited talk at the University of
Arizona Dynamical Systems Seminar
Title: Finite point configurations
January 2022 An invited colloquium talk at the
University of Vermont
Title: Analytic, number-theoretic, and combinatorial aspects of
finite point configurations, and applications to data science
October 2021 A presentation to the Ohio State
mathematics undergraduates about how to apply and prepare for
graduate programs in mathematics
Title: Graduate school and beyond
October 2021 An invited lecture at Seminari a
Distanze di Analisis Armonica
Title: The Vapnik-Chervonenkis dimension and point configurations
September 2021 An invited number theory seminar
lecture at Williams College
Title: The Vapnik-Chervonenkis dimension and point configurations
August 2021 An
invited lecture at the International Seminar Series on Harmonic
Analysis and Applications
Title: Point configurations, operator bounds and complexity
June 2021 An invited Lecture at the Harmonic and
Spectral Analysis Conference
Title: On graphs, group actions and point sets
May 2021 An invited lecture at the Combinatorics
and Number Theory Confierence
Title: On graphs, group actions and point sets
May 2021 An invited lecture at the online AMS
conference
Title: On point configurations and frame theory
February 2021 An invited lecture at the Point
Distributions Webinar
Title: On point configurations and frame theory
November 2020 An invited lecture at CUNY Number
Theory seminar
Title: Discrete energy and applications to combinatorial geometry
October 2020 An invited lecture at the FFT seminar
(Norbert Wiener Center)
Title: Exponential frames and curvature
June 2020 An invited lecture at the CodEx2020
seminar
Title: Finite point configurations and frame theory
June 2020 An invited lecture at Mel Nathanson 75th
birthday conference at CUNY (zoom)
Title: An approximate version of Erdos' single distance conjecture
June 2020 An invited lecture at the annual meeting
of Italian harmonic analysts (zoom)
Title: A survey of recent results on distance sets and point
configurations
February 2020 An invited colloquium lecture at the
Florida International University
Title: Configuration problems and frame theory
February 2020 An invited seminar talk at the
Florida International University
Title: Sums and products in integers modulo a prime
January 2020 JMM Special Session on Geometric
Combinatorics
Title: Triangles, quadrilaterals and group actions
December 2019 An invited lecture in Hanoi, Vietnam
Title: Discrete and analytic aspects of incidence theory
September 2019 An invited lecture at the University
of Missouri analysis conference
Title: Curvature and frame theory
June 2019 An invited lecture at the Harmonic
Analysis and PDE conference in Helsinki, Finland
Title: On configuration problems and applications in classical
analysis and beyond
June 2019 An invited lecture at the harmonic
analysis in Tianjin, China
Title: On configuration problems and applications in classical
analysis and beyond
May 2019 A keynote lecture at the conference in
Holon, Israel in honor of Vladimir Mazya's 80th birthday
Title: On orthogonal Gabor bases in the presence of curvature
May 2019 A special analysis seminar at Cornell
Title: Analytic and combinatorial methods in frame theory
April 2019 Colloquium at the University of Miami
Title: Analytic, geometric and combinatorial aspects of finite
point configurations
March 2019 A lecture at the LeMoyne University Math
Club
Title: The Erdos distance problem
March 2019 An analysis seminar lecture at the
University of Pennsylvania
Title: On the continual symbiosis between frame theory and
geometric combinatorics
March 2019 An analysis seminar lecture at the
University of Illinois
Title: Some recent developments on the Erdos and Falconer distance
problems and applicationsiet
February 2019 A plenary lecture at the Weitzmann
Institute Conference in honor of Alexander Olevskii
Title: Geometric measure theory and applications to frame theory
January 2019 A plenary lecture at the Second
Vietnam Workshop on Graph Theory and Discrete Geometry, Hanoi,
Vietnam
Title: Erdos distance problem for smooth metrics
November 2018 A plenary lecture at the Mid Atlantic
Analysis Meeting, Virgina Tech University
Title: Finite point configurations: from Furstenberg to Falconer
October 2018 A plenary lecture at the NEAM2018
analysis conference
Title: Gabor bases and geometric measure theory
September 2018 An invited lecture at the Fourier
Bases conference in Iraklion, Greece
Title: Gabor bases and the Erdos distance problem
September 2018 A plenary lecture at the 7th
International Conference "Harmonic Analysis and Approximation",
Armenia
Title: Finite point configurations and frame theory
August 2018 Faculty colloquium at Penn State
University
Title: Finite point configurations
August 2018 MASS colloquium at Penn State
University
Title: Tiling and exponential bases: analytic, combinatorial and
number theoretic ideas
August 2018 Number theory seminar at Penn State
University
Title: Some number theoretic aspects of the theory of exponential
bases
June 2018 An invited lecture at the ICERM workhop
Frame Theory and Exponential Bases
Title: On interaction between geometric measure theory and the
existence problems for exponential bases
May 2018 An invited lecture at the Workshop on Real
Analysis and its applications to partial differential equations
and geometric measure theory, in honor of Steve Hofmann's 60th
birthday, ICMAT, Madrid
Title: Analytic and combinatorial aspects of frame theory
May 2018 American Engagement Network conference in Washington D.C.
May 2018 An invited lecture at the CalTech Analysis
Seminar
Title: Gabor bases and geometric combinatorics
March 2018 An invited lecture at the University of
Massachusetts-Lowell
Title: Finite point configurations: congruence and rigidity
March 2018 An invited lecture at the University of
Tel-Aviv analysis seminar
Title: Exponential bases and Gabor bases: discrete and continuous
aspects
February 2018 A research visit to ICERM
February 2018 An invited lecture series at the
Louisiana State University (3 lectures)
Title: The Falconer conjecture and connections with frame theory
February 2018 An invited colloquium talk at the
Arizona State University
Title: Combinatorial, number theoretic and analytic aspects of
frame theory
February 2018 An invited number theory seminar
lecture at the Arizona State University
Title: The Fuglede Conjecture in vector spaces over prime fileds
January 2018 An invited lecture series (two
lectures) at the Vietnam University of Science
Title: Geometric combinatorics in vector spaces over finite fields
January 2018 An invited lecture at the Vietnam
Institute of Mathematics
Title: The Fuglede conjecture in vector spaces over finite fields
December 2017 A colloquium lecture at the
University of Massachusetts-Lowell
Title: On discrete and continuous aspects of frame theory
October 2017 An invited seminar lecture at the
Georgia Institute of Technology analysis seminar
Title: Indicator functions of smooth convex sets cannot serve as
window functions for orthogonal Gabor bases
October 2017 An invited lecture at the Oberwolfach
meeting on Geometric Measure Theory
Title: Lp-dimension and application to the Furstenberg
intersection conjecture
September 2017 An invited 40 minute lecture at the
AMS Session on Global Analysis at the University of Central
Florida
Title: Finite point configurations
September 2017 An invited lecture at the conference
in honor of Eli Stein in Wroclaw, Poland
Title: Finite point configurations: analysis, combinatorics and
number theory
August 2017 A plenary lecture at the CIMPA 2017
Buenos Aires, Argentina
Title: Finite point configurations: analysis, combinatorics and
number theory
May 2017 An invited lecture at the conference in
honor of Peter Jones in Seoul, Korea
Title: Rigidity, simplexes and multi-linear operators
May 2017 An invited lecture at the MSRI workshop on
harmonic analysis
Title: Rigidity, simplexes and multi-linear operators
April 2017 An AMS Special Session on Frame Theory
at Hunter College, NYC
Title: Finite point configuration and the underlying operators
March 2017 A colloquium talk at Virginia Tech
University
Title: Analytic, number theoretic and combinatorial perspectives
on orthogonal bases and tiling
March 2017 A plenary lecture at the Ohio River
Analysis Meeting
Title: On bi-linear analogs of generalized Radon transform
February 2017, A lecture series on the Falconer
conjecture at the Louisiana State University (3 lectures)
Title: Finite point configurations and exponential bases and
frames
January 2017 An invited lecture at the JMM2017
Special Session for women in mathematics dedicated to Cora Sadosky
Title: A group action approach to the non-trivial exponent for
every point configuration in vector spaces over finite fields
November 2016 A colloquium talk at the University
of Indiana
Title: Fourier bases and tiling
November 2016 An invited lecture at the University
of Delaware Analysis Seminar
Title: The Fuglede conjecture in vector spaces over finite fields
October 2016 A colloquium talk at SUNY Albany
Title: Finite point configurations in discrete, continuous and
arithmetic settings
October 2016 A plenary lecture at the Northeast
Analysis Meeting
Title: The Fuglede conjecture holds in vector spaces over finite
fields
October 2016 A plenary lecture at the Integers
conference in Georgia.
Title: The analysis, combinatorics and number theory of the
distance graph
September 2016 An invited lecture at the Prairie
Analysis Seminar 2016
Title: Distribution of simplexes in fractal subsets of Euclidean
space
September 2016 A keynote address at the
combinatorial geometry conference in Hanoi, Vietnam
Title: The analysis, combinatorics and number theory of the
distance graph
September 2016 A colloquium talk at Ohio State
University
Title: The analysis, combinatorics and number theory of finite
point configurations
June 2016 An invited lecture at the CRM analysis
conference, Barcelona, Catalonia.
Title: The analysis, combinatorics and number theory of the
distance graph
June 2016 An invited lecture at the conference on
discrepancy theory in Varenna, Italy.
Title: The analysis, combinatorics and number theory of the
distance graph
May 2016 An invited lecture at the CANT 2016
conference at CUNY
Title: The analysis, combinatorics and number theory of the
distance graph
April 2016 An invited lecture at the Syracuse
analysis seminar
Title: Fuglede conjecture holds in two dimensional vector spaces
over finite fields
February 2016 An invited lecture at ICERM workshop
on Geometric Measure Theory
Title: Finite point configurations in Euclidean space
Feburary 2016 A colloquium lecture at George
Washington University
Title: The Fuglede Conjecture: analysis, combinatorics and number
theory
February 2016 An invited lecture at FFT 2016,
University of Maryland
Title: Geometric configurations and Fourier analysis
December 2015 An invited lecture at the joint
CUNY/NYU Analysis seminar
Title: The Fuglede conjecture in vector spaces over finite fields
December 2015 An invited lecture at the Ohio State
Analysis/PDE seminar
Title: The Fuglede conjecture in vector spaces over finite fields
Setember 2015 An invited lecture at the CIRM Number
Theory conference in Marseilles, France
Title: The Fuglede conjectre holds in two-dimensional vector
spaces over finite fields
May 2015 An invited lecture at CANT 2015 conference
at the CUNY Graduate Center
Title: The Fuglede Conjecture holds in two dimensional vector
spaces over prime fields.
May 2015 A plenary lecture at the Complex Analysis
and Dynamical Systems VII conference in Nehariya, Israel
Title: The Fuglede Conjecture holds in two dimensional vector
spaces over prime fields.
April 2015 An invited colloquium lecture at
Worcester Polytechnic Institute
Title: Some simple ideas in the study of simplexes in Euclidean
space
March 2015 An invited at the sectional AMS meeting
in Washington D.C.
Title: Density of exponential frames and spectra in fractal
domains
February 2015 An invited colloquium lecture at the
University of Massachusetts-Lowell
Title: Distribution of simplexes, geometric combinatorics and
fractals
December 2014 An invited lecture at National
Central University in Taiwan
Title: Distribution of simplexes in fractal subsets of the
Euclidean space and Riemannian manifolds
December 2014 An invited lecture at the CMMSC One
Day Workshop at NCTU, Taiwan
Title: Convolution operators on fractal domains and applications
to geometric measure theory
July 2014 An invited lecture at the Oberwalfach
Harmonic Analysis meeting
Title: Fractal analogs of classical Fourier inequalities
April 2014 An invted lecture at the IPAM workshop
II
Title: Geometric configurations in vector spaces over finite
fields
April 2014 An invited lecture at sectional meeting
of the AMS in Baltimore
Title: Trace inequalities and application to multi-linear bounds
March 2014 An invited lecture at the IPAM workshop
I
Title: The square root law and the structure of rings
March 2014 An invited lecture at IPAM graduate
student tutorials
Title: Erdos type problems in discrete, continuous and arithmetic
settings
January 2014 An invited lecture at joint meetings
of the AMS
Title: Distribution of simplexes in arithmetic settings
January 2014 An invited lecture at the geometry
seminar at Tel-Aviv University
Title: Distribution of simplexes in arithmetic settings
January 2014 An invited lecture at the analysis
seminar at Bar-Ilan University
Title: An elementary viewpoint on multi-linear operators
December 2013 An invited seminar lecture at the
University College London
Title: An elementary viewpoint on multi-linear operators
December 2013 An invited seminar lecture at the
Reading University
Title: Distribution of simplexes in arithmetic settings
December 2013 An invited lecture at the Heilbron Seminar, University of Bristol
TItle: Distribution of simplexes in arithmetic settings
September 2013 A colloquium lecture at Kent State
University
Title: Restricted convolution inequalities, multilinear operators
and applications
September 2013 An invited lecture at the Kent State
Analysis Seminar
Title: Some elementary observations about multi-linear operators
August 2013 An invited lecture at the Kent State
Analysis Seminar
Title: Group actions and distribution of simplexes in the
Euclidean space
May 2013 An invited lecture at the Integral
Transforms and Spectral Theory in Analysis and Geometry workshop
in Nahariya, Israel
Title: Intersections of sets, group actions and Erdos-Falconer
problems
April 2013 An invited lecture at the University of
Minnesota PDE-Analysis seminar
Title: Trace inequalities, multi-linear operators and geometric
applications
March 2013 University of Rochester Number Theory
Seminar
Title: From fractals to diophantine equations
March 2013 An invited lecture at the Analysis
Symposium at the University of Georgia
Title: Intersections of sets and Fourier Analysis
February 2013 A colloquium lecture at the
University of Georgia
Title: Simplexes and Fourier Analsysis
December 2012, Invited lecture at the Applied
Mathematic Seminar at the University College London
Title: Multi-linear operators, geometric measure theory and
combinatorics
October 2012, University of Rochester Number Theory
Seminar
Title: Beck's theorem and areas of triangles in planes over finite
fields
October 2012 AMS Sectional Meeting in Akron, OH,
special session on harmonic analysis and convex geometry
Title: Trace inequalities, multi-linear operators and applications
October 2012 An invited colloquium lecture at the
University of Southern Georgia
Title: Analytic methods in geometric combinatorics
September 2012 AMS Sectional Meeting in Rochester,
NY, Special Session on Number Theory
Title: Distribution of lattice points in annuli and geometric
measure theory
September 2012 AMS Sectional Meeting in Rochester,
NY, Special Session on Partial Differential Equations
Title: Bilinear estimates and applications
August 2012 Lecture series (3 lectures) at Chungbuk
University, South Korea
Title: Convolution inequalities, multi-linear operators and
geometric measure theory
May 2012 A series of lectures at the CANT2012
conference in CUNY, New York City
Title: Harmonic analysis in geometric combinatorics
April 2012 An invited expository lecture for
graduate students at the Probabilistic Methods in Harmonic
Analysis conference in Bedlewo, Poland
Title: From analysis to combinatorics
April 2012 An invited lectre at the Probabilistic
Methods in Harmonic Analysis conference in Bedlewo, Poland
Title: Multi-linear generalized Radon transforms and applications
to geometry and combinatorics
April 2012 A colloquium talk at SUNY-Albany
Title: Bilinear operators and geometric combinatorics
April 2012 An invited lecture at the special
session on harmonic analysis at the AMS sectional meeting in
Lawrence, KS
Title: Lattice points, multi-linear operators and distribution of
simplexes
March 2012 An invited lecture at the analysis
seminar at the Univeristy of Pennsylvania
Title: Multi-linear operators, geometric measure theory and
discrete geometry
March 2012 An invited lecture at the applied
mathematics seminar at the University of Delaware
Title: Applications of multi-linear operator bounds to problems in
geometry
March 2012 An invited lecture at the discrete
mathematics seminar at the University of Delaware
Title: Distribution of simplexes in vector spaces over finite
fields
March 2012 An invited lecture at the analysis
seminar at Princeton University
Title: Distribution of simplexes in discrete and continuous
settings and multi-linear operators
March 2012 A presentation to the graduate students
at Paris-Orsay
Title: The method of stationary phase, elementary incidence theory
and connections beween the two
March 2012 An invited lecture at the analysis
seminar at the University of Paris-Orsay
Title: Multi-linear operators and geometric measure theory
January 2012 An invited lecture at AMS special
session in Boston
Title: Finite point configurations in Euclidean space
January 2012 An invited lecture at the Tufts
workshop on Geometric and Fourier analysis
Title: Multi-linear generalized Radon transforms and applications
to geometric measure theory
October 2011 An invited lecture at the MIT analysis
seminar
Title: Generalized Radon transforms, lattice points near families
of surfaces and non-isotropic dilations
September 2011 AMS conference at Ithaca, NY
Title: Regular value theorem in a fractal setting
July 2011 An invited lecture at the Fields
Institute conference in honor of Eric Sawyer (was unable to cross
the border due to a paperwork mixup)
Title: Lattice points, fractal sets and generalized Radon
transforms
June 2011 An invited lecture at the Edinburgh
Workshop on Harmonic Analysis
Title: Geometric consequences of analytic inequalities
June 2011 An invited lecture at the
analysis/combinatorics seminar at the University of Bristol
Title: The paraboloid: a ubiquitous counter-example
June 2011 An invited lecture at the University of
Cardiff
Title: Application of generalized Radon transforms to problems in
geometric measure theory
May 2011 An invited lecture at CANT conference at
CUNY
Title: On directions determined by subsets of vector spaces over
finite fields
May 2011 An invited lecture at the Banff meeting on
convex geometry
Title: Distribution of lattice points near families of surfaces
April 2011 An invited lecture at the University of
South Carolina workshop on harmonic analysis
Title: Lattice points, fractal sets and generalized Radon
transforms
April 2011 A faculty colloquium talk at the
University of Rochester
Title: Discrete and continuous aspects of incidence theory
April 2011 An invited lecture at the Informal
Analysis Seminar at Kent State University
Title: Harmonic analytic estimates in geometric measure theory
March 2011 Analysis seminar at the Kennesaw State
University
Title: Fourier analytic methods in sum-product theory
March 2011 Colloquium at the Clayton State
University
Title: On sums and products in finite fields
March 2011 AMS conference at Statesboro, GA
Title: Distribution of lattice points near variable families of
surfaces in Euclidean space
March 2011 AMS conference at Statesboro, GA
Title: Regular value theorem in a fractal setting
February 2011 Analysis seminar at the University of
Miami
Title: Regular value theorem in a fractal setting and connections
with discrete geometry and number theory.
February 2011 Anaysis seminar at the Florida
International University
Title: Regular value theorem in a fractal setting and connections
with discrete geometry and number theory.
January 2011 Joint meeting of the analysis and
combinatorics seminars at the University of Pennsylvania
Title: Regular value theorem in a fractal setting and connections
with discrete geometry and number theory.
January 2011 Colloquium, Pennsylvania State
University
Title: Regular value theorem in a fractal setting.
January 2011 AMS Special Session on Integral
Geometry at the Annual Meeting of the AMS in New Orleans
Title: Finite point configurations in the continuous setting.
January 2011 LSU workshop on geometry and analysis
Title: Regular value theorem in a fractal setting.
December 2010 Special session on spectral theory at
the CBMS conference in Vancouver, Canada
Title: On a fractal variant of the regular value theorem
December 2010 Special session on harmonic analysis
and additive number theory at the CBMS conference in Vancouver,
Canada
Title: On simplexes determined by subsets of the Euclidean space.
November 2010 Graduate student seminar at CUNY
Title: On a fractal variant of the regular value theorem
October 2010 Number theory seminar at the
University of Rochester
Title: Sums and products in discrete and continuous settings
October 2010 An analysis seminar at the University
of British Columbia
Title: On sums-product theorem and simplexes in vector spaces over
finite fields
September 2010 An analysis seminar lecture at
Cornell University
Title: On simplexes determined by fractal subsets of the Euclidean
space
March 2010 An invited lecture at Centro di Ricerca
Matematica Enrico di Giorgi, Pisa
Title: Finite point configurations in discrete and continuous
settings
January 2010 An analysis seminar talk at the
Michigan State University
Title: Uniform distribution, finite point configurations and
number theoretic consequences
December 2009 An invited 40 minute lecture at the
AMS/Korean Mathematical Society Special Session on Harmonic
Analysis in Seoul, Korea
Title: Finite point configuration in the Euclidean setting via
Fourier analysis and geometric combinatorics
November 2009 An invited lecture at the AMS Special
Session on Addition Number Theorey at the University of
California-Riverside
Title: Uniform distribution, pseudo-random graphs and finite point
configurations in Euclidean space
July 2009 An invited lecture at the University of
Crete
Title: Finite point configurations in discrete and continous
settings
June 2009 An invited lecture at the University of
Milano
Title: Finite point configurations in discrete and continous
settings
June 2009 An invited lecture at the Conference on
Harmonic Analysis, Geometric Measure Theory and Quasiconformal
Mappings at CRM, Barcelona
Title: Finite point configurations in discrete and continous
settings
May 2009 An analysis seminar lecture at the
University of Arizona
Title: Finite point configurations in discrete and continous
settings
April 2009 An invited lecture at the Spring Lecture
Series 2009, University of Arkansas
Title: Geometric configurations in Euclidean space the associated
models in vector spaces over finite fields
February 2009, A colloquium talk at the University
of Illinois-Chicago
Title: Sums and products in discrete, continuous and arithmetic
settings
February 2009, A seminar talk at the University of
Illinois at Urbana-Champaign
Title: Geometric configurations in the discrete and continuous
settings
January 2009, A colloquium talk at Rochester
University
Title: Geometric configurations in discrete, continuous and number
theoretic settings
November 2008, An invited seminar lecture at the
University of Wisconsin-Madison
Title: Geometric configurations in fractals
October 2008, An analysis seminar talk at the
Arizona State University
Title: Geometric configurations in fractals
October 2008, A colloquium talk at the Arizona
State University
Title: Geometric configurations in Euclidean, integer and finite
field geometries: combinatorial and algebraic aspects
October 2008, A lecture series on interaction of
harmonic analysis, geometric combinatorics and additive number
theory at Baylor University (3 lectures)
Title: Analytic, number theoretic and combinatorial aspects of the
theory of finite point configurations September 2008
An invited lecture at Oberwolfach (Discrete
Geometry)
Title: Geometric configurations in Euclidean, integer and finite
field geometries: combinatorial and algebraic aspects
July 2008, An invited lecture at the University of
Crete
Title: Mixed norm restriction theorems and connections with
fractal geometry
July 2008, An invited lecture at the University of
Padova
Title: Geometric configurations in Euclidean, integer and finite
field geometries
July 2008, An invited lecture at the University of
Torino
Title: Geometric configurations in Euclidean, integer and finite
field geometries
July 2008, An invited lecture at Oberwolfach
(Harmonic Analysis)
Title: Geometric configurations in Euclidean, integer and finite
field geometries
June 2008, An invited lecture at the Arizona State
University MTBI program
Title: Geometric configurations: an elementary viewpoint
April 2008, A seminar lecture at Wayne State
University
Title: Fourier analysis in vector spaces over finite fields
April 2008, An invited lecture at the Fields
Institute Conference on Additive Number Theory
Title: Distribution of dot products in vector spaces in finite
fields and applications to problems in additive number theory and
geometric combinatorics
March 2008, A colloquium talk at the McMaster
University
Title: Harmonic analysis in vector spaces over finite fields and
applications to additive combinatorics
October 2007, A seminar talk at the Louisiana State
University
Title: Radon transforms and applications to problems in additive
number theory
October 2007, A colloquium at the Louisiana State
University
Title: Incidence theory: discrete, continous and arithmetic
aspects
October 2007, An invited 50 minute address to the
American Mathematical Society at DePaul University, Chicago
Title: Incidence theory: discrete, continous and arithmetic
aspects
October 2007, A colloquium talk at the University
of Indiana, Bloomington
Title: Sums and products in finite fields- an analytic perspective
September 2007, An invited lecture at the agebra
seminar at Emory
Title: Sums and products in finite fields
September 2007, An invited lecture at the analysis
seminar at Georgia Tech
Title: Radon transforms and applications to problems in additive
number theory
September 2007, An invited lecture at a
mini-conference on discrepancy theory at the University of South
Carolina
Title: Radon transforms and applications to problems in additive
number theory
September 2007, A colloquium lecture at the
University of Cincinnati
Title: Radon transforms and applications to problems in additive
number theory
September 2007, A seminar talk at the Georgia
Institute of Technology
Title: Sums and products in finite fields- an analytic perspective
August 2007, A seminar talk at UMKC (Kansas City)
Title: Sums and products
June 2007, An invited lecture at the University of
Padova
Title: Integral geometric viewpoint on sums and products in finite
fields
June 2007, An invited lecture at the University of
Bologna
Title: Incidence theory via Fourier analysis in vector spaces over
finite fields
June 2007, An invited lecture at the University of
Milan
Title: Integral geometric viewpoint on sums and products in finite
fields
May 2007, An invited lecture at the annual meeting
of Italian harmonic analysts at Caramanico
Title: Incidence theory via Fourier analysis and applications to
geometry and arithmetic
May 2007, A seminar lecture at the University of
Bergamo
Title: Integral geometric viewpoint on sums and products in finite
fields
April 2007, DePaul University analysis seminar
Title: Fourier analysis and incidence theory
March 2007, A colloquium lecture at the Bogazici
University
Title: Analytic, combinatorial and number theoretic aspects of
incidence theory
March 2007, A lecture at the Istanbul Institute of
Mathematics
Title: Sums/Products via Fourier analysis
March 2007, King's College, London, an analysis
seminar lecture
Title: Ramsey Theory and Fourier analysis
March 2007, An invited 50 minute address to the
American Mathematical Society at Davidson College, North Carolina
Title: Incidence theory: discrete, continous and arithmetic
aspects
January 2007, An invited lecture at Bar-Ilan
University
Title: Geometric combinatorics via Fourier analysis
November 2006, A seminar talk at the University of
Crete
Title: Sums and products in finite fields via Kloosterman sum
estimates
November 2006, A lecture series on harmonic
analysis in vector spaces over finite fields at the University of
Bristol (4 lectures)
Title: Erdos and Falconer in vector spaces over finite fields
October 2006, AMS lecture in Salt Lake City, Utah
Title: Sums and products in finite fields via Kloosterman sum
estimates.
September 2006, A seminar lecture at Michigan State
University
Title: Erdos/Falconer distance problem in vector spaces over
finite fields.
August 2006, An invited lecture at the Rudelson
CBMS lecture series conference at Kent State University
Title: Analysis, combinatorics and number theory of the Mattila
integral.
July 2006, An invited lecture at the Koldobsky CBMS
lecture series conference at the Kansas State University
Title: Analysis, combinatorics and number theory of the Mattila
integral.
July 2006, A lecture at the Universidad Autonoma
Barcelona (CRM)
Title: Analysis, combinatorics and number theory of the Mattila
integral.
July 2006, A lecture at the University of Milano
Title: Analysis, combinatorics and number theory of the Mattila
integral-lattice points on surfaces.
July 2006, A lecture at the University of Bergamo
Title: Analysis, combinatorics and number theory of the Mattila
integral-Fourier analysis in finite fields.
June 2006, a plenary lecture at Harmonic Analysis
conference in Zharos, Crete
Title: Analysis, combinatorics and number theory of the Mattila
integral
May 2006, CUNY, New York, CANT 2006 (3 lectures)
Title: Three lectures on analytic, combinatorial and number
theoretic aspects of incidence theory
April 2006, AMS Special Session in Miami
Title: Erdos/Falconer distance problem in vector spaces over
finite fields
March 2006, Combinatoria Number Theory program in
Montreal
Title: Fourier analytic approach to incidence theorems in vector
spaces over finite fields
January 2006, Colloquium at Northeastern University
Title: Analytic, combinatorial and number theoretic aspects of
distance set theory
January 2006, Colloquium at the University of
Georgia
Title: Analytic, combinatorial and number theoretic aspects of
distance set theory
January 2006, Analysis Seminar, University of Crete
Title: Erdos/Falconer distance problems in vector spaces over
finite fields
January 2006, Pure Mathematics Seminar, University
of Bristol
Title: Erdos/Falconer distance problem in vector spaces over
finite fields
December 2005, Annual Meeting of the Canadian
Mathematical Society
Title: Erdos distance problem in vector spaces over finite fields
November 2005 Colloquium lecture at Kent State
University
Title: Analytic, combinatorial and number theoretic aspects of
distance set theory
October 2005, lecture at the Integers conference at
the University of Western Georgia
Title: Erdos distance problem in vector spaces over finite fields
October 2005, seminar talk at the University of
South Carolina
Title: Erdos distance problem in vector spaces over finite fields
July 2005 University of Crete, Greece
Title: Mean square averages of the Fourier transform and geometric
combinatorics
July 2005, Oberwalfach, Germany
Title: Some observations on the interaction of harmonic analysis
and geometric combinatorics
June 2005, University of Orleans, France
Title: Mean square averages of the Fourier transform and geometric
combinatorics
June 2005, University of Bristol, England
Title: Analysis and combinatorics of distance sets
May 2005, CUNY conference in honor of Mel
Nathanson's 60th birthday
Title: Analysis and combinatorics of distance sets
January 2005, Texas A&M University
Title: Gaussian curvature, geometric combinatorics, and the
Fourier transform
September 2004 AIM workshop on additive number theory/ geometric combinatorics
July 2004 Trimester in Harmonic Analysis, Pisa,
Italy
Title: Average decay of the Fourier transform and applications
June 2004 University of Madrid, Spain, Analysis
Seminar
Title: Combinatorial complexity of convex sequences and related
problems in combinatorial geometry
June 2004 Trimester in Harmonic Analysis, Pisa,
Italy
Title: Combinatorial complexity of convex sequences and
connections with Fourier analysis
May 2004 Georgia Institute of Technology; an
invited lecture associated with a series of CBMS lectures to be
delivered by C. Thiele.
Title: Combinatorial complexity of convex sequences
May 2004 CUNY Conference on Additive and
Combinatorial Number Theory
Title: Combinatorial complexity of convex sequences
May 2004 University of Edinburgh
Title: Some remarks on the Mattila integral and related problems
May 2004, University of Bristol, England
Title: Mean square discrepancy bounds for the distribution of
lattice points in convex domains
April 2004, University of Athens
Title: Convex sequences and the Erdos/Falconer distance problems
April 2004, University of Crete
Title: Some remarks on the Mattila integral
March 2004 Annual meeting of the Italian harmonic
analysts (plenary lecture)
Title: Some remarks on the Mattila integral
March 2004 University of Bergamo, Italy, seminar
Title: Average decay of Fourier transforms of measures and
applications
March 2004 University of Milano, Italy, seminar
Title: Combinatorial complexity of convex sequences and related
problems
March 2004 Florida State University, AMS Special
Session on Harmonic Analysis
Title: Combinatorial complexity of convex sequences
February 2004 University of Michigan (differential
equations seminar)
Title: Average decay of the Fourier transform, Salem sets, and
related problems
January 2004, Temple University, Philadelphia
(colloquium)
Title: Combinatorial complexity of convex sequences: combinatorial
and analytic methods
December 2003, University of British Columbia (research collaboration with I. Laba)
November 2003, University of California-Los Angeles
Title: Distribution of lattice points in convex domains: mean
square estimates
October 2003, Conference on additive number theory,
University of West Georgia
Title: Distribution of lattice points in convex domains: mean
square estimates
October 2003, University of Wisconsin-Madison
Title: A Weyl type formula for exponential spectra and frames
June 2003, Harmonic Analysis and Partial
DIfferential Equations; Annual Summer Session
Title: Combinatorial approach to orthogonal exponentials
June 2003, Joint meeting of the Real Sociedad
Mathematika Espanola and the AMS in Seville, Spain
Title: Variants of the Falconer and Erdos distance problems
June 2003, University of Milan
Title: Variants of the Falconer and Erdos distance problems
May 2003, Conference on additive number theory and
applications to harmonic analysis
Title: Applications of geometric measure and geometric
combinatorics in harmonic analysis
May 2003, Princeton University Analysis Seminar
Title: Combinatorics of distance sets and applications
April 2003, Riviere-Fabes Symposium in Analysis
Title: Analysis and combinatorics of distance set
March 2003, The Erwin Schrodinger International
Institute for Mathematical Physics
Title: Analysis and combinatorics of distances sets
February 2003, Georgia Institute of Techology (research collaboration)
October 2002, AMS Special Session in Madison,
Wisconsin
Title: Distribution of lattice points inside random ellipsoids
July 2002, Convex geometry workshop in Vancouver,
Canada
Title: Lattice points inside random ellipses
June 2002, University of Padova, Minicorsi di
Analisi Matematica (3 lectures)
Title: Geometric combinatorics and applications to analysis
June 2002, University of Milano, Bicocca
Title: Distribution of lattice points inside random ellipses
June 2002, University of Pisa, AMS Special Session
Title: Convex bodies, orthogonal exponentials and geometric
combinatorics
June 2002, Universidad Autonoma de Madrid
Title: Some elementary combinatorial geometry and applications to
harmonic analysis
June 2002, University of Iraklion, Crete
Title: Lattice points inside random ellipses
March 2002, McGill University, Montreal, Canada
Title: Average decay of the Fourier transform and distribution of
lattice points in convex domains
March 2002, AMS Special Session in Harmonic
Analysis
Title: Average decay of the Fourier transform and applications
January 2002, Universita di Milano-Bicocca
Title: Applications of the average decay of the Fourier transform
of measures
December 2001, Georgia Institute of Technology research visit
November 2001, Colloquium, Case Western Reserve
University
Title: Combinatorics of convex sets and applications
November 2001, Seminar, University of Wisconsin,
Madison
Title: Combinatorics of convex sets and applications
November 2001, Research visit at McMaster University, Hamilton, Ontario
October 2001, Seminar, University of Bristol,
England
Title: Combinatorial approach to orthogonal exponentials
September 2001, Colloquium , University of British
Columbia,Vancouver, British Columbia, Canada
Title: Combinatorial aspects of convexity
August 2001, Convex geometry conference in Anogia,
Crete
Title: Various notions of dimension of convex sets and
applications
May 2001, Partial Differential Equations Seminar,
University of Missouri-Columbia
Title: Regularity of generalized Schrodinger equations
May 2001, Algebra Seminar, University of
Missouri-Columbia
Title: Quadratic forms and the Steinhaus tiling problem
March 2001, Oscillatory Integrals and Dispersive Equations, IPAM conference in Los Angeles, California
July 2001, Mt. Holyoke Harmonic Analysis/ PDE AMS
conference
Title: Distribution of lattice points in convex domains
April 2001, University of Milan-Bicocca
Title: Extracting geometric information from square functions
March 2001, AMS Special Session in Harmonic
Analysis, Lawrence, Kansas
Title: Distribution of lattice points inside convex domains
December 2000, Meeting of the Canadian Mathematical
Society, Vancouver, British Columbia, Canada
Title: Distribution of lattice points in convex domains and the
geometry of the Gauss map
November 2000, University of Wisconsin-Madison
Title: Distribution of lattice points in convex domains and the
geometry of the Gauss map
November 2000, McMaster University, Hamilton, Ontario Research collaboration with Eric Sawyer
November 2000, Banach space seminar, University of
Missouri-Columbia
Title: Exponential bases and tiling- combinatorics and the Fourier
transform
October 2000, Northwestern University, Chicago,
Illinois
Title: Distribution of lattice points in convex domains and
related problems
October 2000, Special Session in Harmonic Analysis,
San Francisco, California
Title: Distribution of lattice points in convex domains
September 2000, Analysis seminar, Washington
University in St. Louis
Title: Distribution of lattice points in convex domains
September -November 2000, Probability seminiar,
University of Missouri-Columbia
Title: A brief introduction to the Kakeya problem and related
issues
July 2000, Meeting of harmonic analysts at El Escorial, Spain.
June 2000, Meeting of the Greek analysts in
Iraklion, Crete
Title: Fourier bases and the associated combinatorics
June 2000, University of Iraklion, Crete
Title: Distribution of lattice points in convex planar domains
June 2000, University of Milan-Bicocca
Title: Elementary applications of the pigeon-hole principle in
analysis
June 2000, Annual meeting of the Italian harmonic
analysts
Title: Distribution of lattice points in convex domains
February 2000, University of Missouri-Columbia
Title: The role of Gaussian curvature in harmonic analysis
February 2000, Syracuse University
Title: Fourier bases, tiling, and the Erdos Distance Problem
February 2000, McMaster University Joint research with E. Sawyer
December 1999, University of Wisconsin- Madison.
Title: Fourier bases, tiling, and the Erdos Distance Problem
August 1999, University of Illinois at Chicago
Joint research with N. Katz facilitated by a CRB Grant.
August 1999, University of Illinois at Chicago
Title: Fourier basis, orthogonality, and a variant of Erdos
distance problem
July 1999, Joint meeting of the American and
Australian Mathematical Societies.
Title: Fourier basis, fractals, and the Erdos distance problem
June 1999, University of Milan
Title: Maximal averages over fractals
June 1999, Meeting of the Italian Mathematical
Society, Aosta, Italy
Title: Fourier basis and the Erdos distance problem
May 1999, Wright State University
Title: The role of curvature in harmonic analysis"
March 1999, McMaster University
Title: "Averages over surfaces and related problems"
March 1999, Wright State University Joint research with S. Pedersen.
March 1999, Indiana University Purdue University Indianapolis Joint research with E. Sawyer.
February 1999, University of Maryland-College Park
Title: Lattice points, Fourier bases, and related problems
January 1999, Conference on Singular and
Oscillatory Integrals in honor of Steve Wainger, University of
Wisconsin, Madison, Wisconsin
Title: Lattice points, Fourier bases, and related problems
September 1998, AMS Special Session on orthogonal
polynomials and related problems, DePaul University, Chicago,
Illinois
Title: Smooth hypersurfaces of infinite type
August 1998, GAFA Conference, Kiel, Germany
Title: Lp improving properties of measures supported on
convex finite type hypersurfaces
July 1998, A series of lectures at the University
of Milano-Bicocca (3 lectures)
Title: Stein's conjecture, scaling and maximal averages over
surfaces
July 1998, University of Turin, Turin, Italy
Title: Lp improving properties of measures supported on
convex hypersurfaces"
June/July 1998, Visiting Research Fellowship, University of New South Wales, Sydney, Australia.
July 1998, Department of Mathematics Analysis
Seminar, Macquarie University, Sydney, Australia
Title: Maximal operators over smooth hypersurfaces
June 1998, Department of Mathematics, University of
New South Wales, Sydney, Australia
Title: Averages over convex hypersurfaces"
April 1998, Dixieland Analysis Conference, Emory
University, Atlanta, Georgia
Title: Lp improving properties of measures supported on
convex hypersurfaces
April 1998, Department of Mathematics, Georgia
Institute of Technology, Atlanta, Georgia
Title: Averages over convex surfaces
February 1998, Department of Mathematics, Johns
Hopkins University, Baltimore, Maryland
Title: "Maximal averages over surfaces"
February 1998, Department of Mathematics,
Georgetown University, Washington, District of Columbia
Title: Averages over convex hypersurfaces"
Fall 1997, General Membership at the Mathematical Sciences Research Institute, Berkeley, California
November 1997, Visiting Research Fellowship, University of Naples, Naples, Italy
November 1997, Department of Mathematics,
University of Naples, Naples, Italy
Title: Scaling properties of infinitely flat curves and surfaces
November 1997, Department of Mathematics,
University of Milan, Milan, Italy
Title: Scaling properties of infinitely flat curves and surfaces
October 1997, Department of Mathematics, University
of Rochester, Rochester, New York
Title: Scaling properties of convex hypersurfaces
September 1997, Mathematical Sciences Research
Institute, Berkeley, California
Title: Scaling properties of convex finite type hypersurfaces
September 1997, Department of Mathematics, Florida
State University, Tallahassee, Florida
Title: Scaling properties of convex hypersurfaces
September 1997, Integrable Systems & Nonlinear
PDE Seminar, Department of Mathematical Sciences, Indiana
University Purdue University Indianapolis, Indianapolis, Indiana
Title: Scaling properties of infinitely flat curves and surfaces
May 1997, European Union HCM "Fourier Analysis
Network" Harmonic Analysis in Varenna Meeting, Varenna, Italy
Title: Averages over convex hypersurfaces
March 1997, Wright State University Analysis
Seminar, Dayton, Ohio
Title: Fourier transform, restriction theorems, and scaling
March 1997, American Mathematical Society Annual
Analysis Conference in Auburn, Alabama
Title: Maximal averages over convex surfaces
December 1996, Department of Mathematics,
University of Wisconsin, Madison, Wisconsin
Title: Maximal averages, convex hypersurfaces, and rotational
curvature in time"
October 1996, Department of Mathematics Colloquium,
University of Cincinnati, Cincinnati, Ohio
Title: The Fundamental Theorem of Calculus and Beyond
July 1996, Department of Mathematics, University of
Turin, Turin, Italy
Title: Schulz's Theorem, mixed homogeneity, and maximal operators
July 1996, Department of Mathematics, University of
Naples, Naples, Italy
Title: Maximal operators in Harmonic Analysis
June 1996, Department of Mathematics, McMaster
University, Hamilton, Ontario, Canada
Title: Maximal averages over mixed homogeneous surfaces
December 1995, Department of Mathematics,
University of Wisconsin, Madison, Wisconsin
Title: Oscillatory integrals with homogeneous phases and maximal
averages over surfaces
November 1995, American Mathematical Society
Conference in Kent, Ohio, Special Session on Harmonic Analysis and
Applications, Kent State University, Kent, Ohio
Title: Averaging and maximal averaging operators associated to
homogeneous hypersurfaces
February 1995, Analysis Seminar, University of
Toronto, Toronto, Ontario, Canada
Title: Maximal operators and oscillatory integrals associated to
finite type hypersurfaces
September 1994, Harmonic Analysis Seminar, McMaster
University, Hamilton, Ontario, Canada
Title: (Lp,Lq) mapping properties of
averaging operators associated to homogeneous hypersurfaces
May 1994, Harmonic Analysis Seminar, McMaster
University
Title: Maximal operators associated to homogeneous and mixed
homogeneous hypersurfaces in R3
June 1994, Functional Analysis Seminar, Technion,
Haifa, Israel
Title: Maximal operators associated to homogeneous hypersurfaces
in Rn
June 1994, Mathematics Colloquium, University of
Naples, Naples, Italy
Title: Maximal operators in Harmonic Analysis
May 1994, Analysis Seminar, UCLA, Los Angeles,
California
Title: Weighted oscillatory integrals and the associated maximal
operators
November 1993, Harmonic Analysis Seminar, McMaster
University
Title: A restriction theorem for operators associated to
homogeneous manifolds in codimension two
March 1991, Classical Analysis Seminar, UCLA, Los
Angeles, California
Title: Maximal operators associated to families of flat curves in
the plane
September 2024 LMS Distinguished Lecture Series in Lviv and Kiyiv
September 2024 A series of invited lectures at the Hausdorff Institute in Bonn, Germany
August 2023, A lecture series at the Kent State
Informal Analysis Seminar (4 lectures)
Title: Geometric measure theory and applications to data science
July 2023, A lecture series at the University of
Harbin, China
Title: Geometric measure theory and applications to data science
February 2017, A lecture series on the Falconer
conjecture at the Louisiana State University (3 lectures)
Title: Finite point configurations and exponential bases and
frames
August 2012, A lecture series on multilinear
operators and geometric measure theory at Chungbuk University,
South Korea (3 lectures)
Title: A multi-linear approach to finite point configurations
May 2012, A lecture series on application of
harmonic analysis to geometric combinatorics at CANT2012
conference (3 lectures) in CUNY, New York
Title: From discrete to continuous and back
October 2008, A lecture series on interaction of
harmonic analysis, geometric combinatorics and additive number
theory at Baylor University (3 lectures)
Title: Analytic, number theoretic and combinatorial aspects of the
theory of finite point configurations
November 2006, A lecture series on harmonic
analysis in vector spaces over finite fields at the University of
Bristol (4 lectures)
Title: Erdos and Falconer in vector spaces over finite fields
May 2006, CUNY, New York, CANT 2006 (3 lectures)
Title: Three lectures on analytic, combinatorial and number
theoretic aspects of incidence theory
June 2002, University of Padova, Minicorsi di
Analisi Matematica (3 lectures)
Title: Geometric combinatorics and applications to analysis
July 1998, A series of talks at the University of
Milan on avergaing operators over hypersurfaces (4 lectures)
Title: Stein's conjecture, scaling and maximal averages over
surfaces
Alex Iosevich and Elijah Liflyand. Decay of the Fourier Transform: Analytic and Geometric Aspects. Birkhäuser Basel, 2014.
Julia Garibaldi, Alex Iosevich, and Steven Senger. The Erdős Distance Problem. Student Mathematical Library, volume 56. American Mathematical Society, 2011.
Alex Iosevich. A View from the Top: Analysis, Combinatorics and Number Theory. Student Mathematical Library, volume 39. American Mathematical Society, 2007.
A
quantitative version of the Steinhaus theorem, (with J.
Pakianathan), Journal of Geometric Analysis, 36, (2026), no. 10.
Uncertainty principle, annihilating pairs and Fourier restriction, (with P. Jaming and A. Mayeli), Acta Math. Hungar. 178 (2026), no. 1, 220–238.
The Fourier ratio: A unifying measure of complexity for recovery, localization, and learning, (with W. Burstein and H. Nathan), Appl. Comput. Harmon. Anal. 85 (2026), Paper No. 101904
A distinction between the paraboloid and the sphere in weighted restriction, (with R. Zhang), Selecta Math. (N.S.) 32 (2026), no. 3, Paper No. 49.
Approximate Orthogonality, Bourgain's Pinned Distance Theorem, and Exponential Frames, (with A. Mayeli), Recent Advances in Approximation and Potential Theory, 219–233, Appl. Numer. Harmon. Anal., Birkhäuser/Springer, Cham, (2026).
Fourier minimization and time series imputation, (with W. Burstein, A. Mayeli, and H. Nathan), Sampl. Theory Signal Process. Data Anal. 24 (2026), no. 1, Paper No. 1, 21 pp.
Lp integrability of functions with Fourier support on a smooth space curve, (with S. Guo, R. Zhang, and P. Zorin-Kranich), Indiana Univ. Math. J. 74 (2025), no. 6, 1849–1853.
Congruence classes of simplex structures in finite field vector spaces, (with T. Cheek, J. Cooper, P. Gilman, K. Jaber, E. Palsson, V. Sharan, J. Shuffelton, M. Tome), Bull. Hellenic Math. Soc. 69 (2025), 41–88.
Similar point configurations via group actions, (with P. Bhowmik, A. Greenleaf, S. Mkrtchyan,and F. Rakhmonov), Illinois J. Math. 69 (2025), no. 3, 495–506.
An approach to endpoint problems in oscillatory singular integrals, (with Ben Krause and Hamed Mousavi), Math. Z. 311 (2025), no. 4, Paper No. 66, 7 pp.
Pinned simplices and connections to product of sets on paraboloids, (with Q. Pham, T. Pham, C-Y. Shen), Indiana Univ. Math. J. 74 (2025), no. 3, 647–668.
Multi-linear forms, structure of graphs and Lebesgue spaces, (with E. Palsson, E. Wyman, and Y. Zhai), Math. Z. 310 (2025), no. 4, Paper No. 76, 25 pp.
Realizing trees of configurations in thin sets, (with A. Greenleaf and K. Taylor), Pacific J. Math. 335 (2025), no. 2, 355–372.
Fractal dimension, approximation and data sets, (with Betti, L.; Chio, I.; Fleischman, J.; Iulianelli, F.; Kirila, S.; Martino, M.; Mayeli, A.; Pack, S.; Sheng, Z.; Taliancic, C.; Thomas, A.; Whybra, N.; Wyman, E.; Yildirim, U.; Zhao, K.) Springer Proc. Math. Stat., 464 Springer, Cham, (2025), 39–64.
VC-dimension of hyperplanes over finite fields, (with Ascoli, Ruben; Betti, Livia; Cheigh, Justin; Jeong, Ryan; Liu, Xuyan; McDonald, Brian; Milgrim, Wyatt; Miller, Steven J.; Romero Acosta, Francisco; Velazquez Innuzzelli, Santiago), Graphs Combin. 41 (2025), no. 2, Paper No. 47, 13 pp.
Multi-linear forms, graphs, and L^p -improving measures in F_q^d, (with P. Bhowmik, D. Koh and T. Pham), Canad. J. Math. 77 (2025), no. 1, 208–251.
Uncertainty principles, restriction, Bourgain's Lambda(q) theorem, and signal recovery, (with A. Mayeli), Appl. Comput. Harmon. Anal. 76 (2025), Paper No. 101734, 21 pages.
Subsystems of orthogonal systems and the recovery of sparse signals in the presence of random losses, (with B. Kashin, I. Limonova, and A. Mayeli),
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The quotient set of the quadratic distance set over finite fields, (with D. Koh and F. Rakhmonov), Forum Math. 36 (2024), no. 5, 1341–1358.
Generalized point configurations in d-dimensional vector spaces over finite fields, (with P. Bright, X. Fang, Xinyu, B. Heritage, T. Jiang, H. Parshall, and M. Sun), Finite Fields and Applications, 99, (2024).
Improved bounds for embedding certain configurations in subsets of vector spaces over finite fields, (with P. Bright, X. Fang, B. Heritage, and M. Sun) Bull. Hellenic Math. Soc. 68 (2024), 10–30.
The VC-dimension and points configurations in the discrete plane, (with D. Fitzpatrick, B. McDonald and E. Wyman), Discrete and Computational Geometry 71 (2024), no. 4, pages 1167-1177.
VC-dimension and distance chains in finite fields, (with R. Ascoli, L. Betti, J. Cheigh, R. Jeong, X. Liu, B. McDonald,, W. Milgrim, S. Miller, A. Romero, F. Velazquez, and S. Iannuzzelli), Korean J. Math. 32 (2024), no. 1, 43–57.
Nonempty interior of configuration sets via microlocal partitioning optimization, (with A. Greenleaf and K. Taylor), Math. Z. 306 (2024), no. 4, Paper No. 66, 20 pages.
Lattice point problems, equidistribution and ergodic theorems for certain arithmetic spheres, (with B. Langowski, M. Mirek, and T. Szarek), Math. Ann. 388 (2024), no. 2, 2041–2120
Improved incidence bounds over arbitrary finite fields via VC-dimension theory, (with T. Pham, S. Senger and M. Tait), European J. Combin, (2024), 9 pages.
Simplices in thin subsets of Euclidean space (with A. Magyar), APDE 16, 2023, no. 7, 1485-1496.
Dot products in 𝔽3q and the Vapnik-Chervonenkis dimension, (with McDonald, B.; Sun, M), Discrete Math. 346 (2023), no. 1,
Uniform distribution and geometric incidence theory, (with A. Gafni and E. Wyman), J. Math. Anal. Appl. 517 (2023), no. 1
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estimates for bilinear generalized Radon transforms in the plane,
(with A. Greenleaf, B. Krause, B, and A. Liu), Springer Proc.
Math. Stat., 395
Springer, Cham, 2022, 179–1
Microlocal decoupling inequalities and the distance problem on Riemannian manifolds, Amer. J. Math, 144 (2022), no. 6, 1601-1639.
On k-point configuration sets with nonempty interior, (with A. Greenleaf and K. Taylor), Mathematika 68 (2022), no. 1, 163-19
Fourier frames for surface-carried measures, (with Lai, Liu and Wyman) Int. Math. Res. Not. IMRN 2022, no. 3, 1644-1665.
Simplex Averaging Operators: Quasi-Banach and Lp-improving Bounds in Lower Dimensions, (with E. Palsson and S. Sovine), J. Geom. Anal. 32 (2022),
Rigidity, graphs and Hausdorff dimension, (wtih N. Chatzikonstantinou, S. Mkrtchyan, and J. Pakianathan), Combinatorial and additive number theory IV, 73–106, Springer Proc. Math. Stat., 347
Repeated distances and dot products in finite fields, (with C. Wolf), Operator theory and harmonic analysis—OTHA 2020. Part I. New general trends and advances of the theory, 243–257, Springer Proc. Math. Stat 357.
Cycles of arbitrary length in distance graphs on vector spaces over finite fields, (Russian), (with G. Jardine and B. McDonald), Tr. Mat. Inst. Steklova 314 (2021), Analiticheskaya i Kombinatornaya Teoriya Chisel, 31–48.
Sums of Powers in Large Finite Fields: A Mix of Methods, (with Bergelson, Vitaly and Best, Andrew), Amer. Math. Monthly 128 (2021), no. 8, 701–718.
Weyl Law Improvement for Products of Spheres, (with E. Wyman), Anal. Math. 47 (2021), no. 3, 593–612.
An improved result for Falconer's distance set problem in even dimensions, (with Du, Xiumin; Ou, Yumeng; Wang, Hong; Zhang, Ruixiang ) Math. Ann. 380 (2021), no. 3-4, 1215–1231.
Configuration sets with nonempty interior, (Greenleaf, Allan; Iosevich, Alex; Taylor, Krystal), J. Geom. Anal. 31 (2021), no. 7, 6662–6680.
On restriction estimates for the zero radius sphere over finite fields, (with Koh, Doowon; Lee, Sujin; Pham, Thang; Shen, Chun-Yen), Canad. J. Math. 73 (2021), no. 3, 769–786.
Existence of similar point configurations in thin subsets of Euclidean space, (with A. Greenleaf and M. Mkrtchyan), Math. Z. 297 (2021), no. 1-2, 855-865.
On Gabor orthonormal bases over finite prime fields, (with M. Kolountzakis, Y. Lyubarskii, A. Mayeli and J. Pakianathan), Bull. Lond. Math. Soc. 53, (2021) p. 380-391.
Falconer-type estimates for dot products, (with S. Senger), Bull. Hellenic Math. Soc. 64 (2020), 98–110.
A new bound for the Erdős distinct distances problem in the plane over prime fields, (with D. Koh, T. Pham. C. Shen and L. Vinh). Acta Arith. 193 (2020), no. 2, 165-174.
New bounds for distance-type problems over prime fields, (with D. Koh T. Pham); European J. Combin. 86 (2020)
On Falconer's distance set problem in the plane, (with L. Guth, Y. Ou and H. Wang, Invent. Math. 219 (2020), no. 3, 779-830.
Finite trees inside thin subsets of Euclidean space, (with K. Taylor) accepted for publication by the Proceedings of the Analysis and Operator Theory conference in Rostov, Russia.
Embedding distance graphs in finite field vector spaces, (with H. Parshall), J. Korean Math. Soc. 56 (2019), no. 6, 1515�1528.
The mean square discrepancy in the circle problem, (with S. Gonek) Mosc. J. Comb. Number Theory 8 (2019), no. 3, 263-287.
Equilateral triangles in subsets of Euclidean space of large Hausdorff dimension, (with B. Liu) Israel Math Journal, May, 2019, Volume 231, issue 1, pages 123-137.
On the quotient set of the distance set, (with D. Koh and H. Parshall), Moscow Journal of Combinatorics and Number Theory 8 (2019), no. 2, 103�115.
What is Falconer's conjecture? Notices of the AMS, March 2019.
Fourier analysis and Hausdorff dimension, by Pertti Mattila, Mathematical Intelligencer, March, 2019, Volume 41, Issue 1, 83-86.
Pinned distance problem, slicing measures and local smoothing estimates, (with B. Liu), Transactions of the AMS, volume 371, no. 6, 4459-4474.
Maximal operators: scales, curvature and the fractal dimension, (with B. Krause, E. Sawyer, K. Taylor and I. Uriarte-Tuero), Anal. Math. 45 (2019), no. 1, 63-86.
Tight wavelet frame sets on finite vector spaces, (with C. Lai and A. Mayeli), The Journal of Applied and Computational Harmonic Analysis, volume 46, issue 1.
Finite point configurations in the plane, rigidity and Erdos problems (with J. Passant) Tr. Mat. Inst. Steklova 303 (2018), 142-154.
Gabor orthogonal bases on convexity (with A. Mayeli), Discrete Anal. 2018, Paper No. 19, 11 pp.
Wavelet decomposition and bandwidth of functions defined on vector spaces over finite fields, (with A. Liu, A. Mayeli and J. Pakianathan), Bull. Hellenic Math. Soc. 62 (2018), 80–93.
Tiling, circle packing and exponential sums over finite fields, (with C. D. Haessig, A. Iosevich, J. Pakianathan, S. Robins and L. Vaicunas), Analysis Mathematica, 44 (2018), no. 4, 433-449.
Distances from points to planes, (with P. Birklbauer and T. Pham), Acta Arithmetica 186 (2018) no. 3 219-224.
On discrete values of bilinear forms, (with O. Roche-Newton and M. Rudnev) Mat. Sb. 209 (2018), no. 10, 71-88.
Direction sets, Lipschitz graphs and density, (with J. Pakianathan), Bull. Hellenic Math. Soc. 62 (2018) 61-65.
Tiling sets and spectral sets over finite fields, (with Aten, C.; Ayachi, B.; Bau, E.; FitzPatrick, D.; Liu, H.; Lott, A.; MacKinnon, I.; Maimon, S.; Nan, S.; Pakianathan, J.; Petridis, G.; Rojas Mena, C.; Sheikh, A.; Tribone, T.; Weill, J.; Yu, C.) J. Funct. Anal. 273 (2017), no. 8, 2547-2577.
On necklaces inside thin subsets of ${\Bbb R}^d$, (with A. Greenleaf and M. Pramanik), Math Research Letters, 24 (2017), 347-362.
A two-parameter finite field Erdős-Falconer distance problem, (with P. Birklbauer) Bull. Hellenic Math. Soc. 61 (2017), 21-30
Elementary methods for incidence problems in finite fields, (with J. Cilleruelo, B. Lund, Ben, O. Roche-Newton and M. Rudnev), Acta Arith. 177 (2017), no. 2, 133-142.
The Fuglede conjecture holds in ${\Bbb Z}_p \times {\Bbb Z}_p$ (with A. Mayeli and J. Pakianathan), Anal. PDE 10 (2017), no. 4.
The square root law and structure of finite rings, (with B. Murphy and J. Pakianathan), Moscow Journal of Combinatorics and Number Theory, Volume 7, Issue 1, (2017).
Group actions and geometric combinatorics in 𝔽dq, (with M. Bennett, D. Hart, J. Pakianathan and M. Rudnev), Forum Math. 29 (2017), no. 1, 91-1
On angles determined by fractal subsets of Euclidean space, (with M. Mourgoglou and E. Palsson), volume 23, number 6, (2016).
Sharpness of Falconer's $\frac{d+1}{2}$ estimate, (with Steven Senger), Annales Academic Scientiarum Fennicae, volume 41, (2016).
Falconer distance problem, additive energy and Cartesian products, (with B. Liu), Annales Academic Scientiarum Fennicae, volume 41, (2016).
Finite chains inside thin subsets of ${\Bbb R}^d$, (with M. Bennett and K. Taylor), Analysis and PDE, volume 9, no. 3, (2016).
Long paths in the distance graph over large subsets of vector spaces over finite fields, (with M. Bennett, J. Chapman, D. Covert, D. Hart and J. Pakianathan), Journal of Korean Mathematical Society, volume 53, pages 115-126 (2016).
Intersections of sets, diophantine equations and Fourier analysis, (with Suresh Eswarathasan, Alex Iosevich, Krystal Taylor), Journal d'Analyse, volume 128, pages 159-178 (2016).
Sets of finite perimeter and geometric variational problems. An introduction to geometric measure theory [book review of MR2976521]. Bull. Amer. Math. Soc. (N.S.) 53 (2016), no. 1, 167-171.
A group-theoretic viewpoint on Erdős-Falconer problems and the Mattila integral, (with A. Greenleaf, B. Liu and E. Palsson), Rev. Mat. Iberoam. 31 (2015), no. 3, 799-810.
Multi-linear generalized Radon transforms and point configurations, (with L. Grafakos, A. Greenleaf and E. Palsson), Forum Math. 27 (2015), no. 4, 2323-2360.
Areas of triangles and Beck's theorem in planes over finite fields, (with M. Rudnev and Y. Zhai), Combinatorica 35 (2015), no. 3, 295-308
On volumes determined by subsets of the Euclidean space, (with A. Greenleaf and M. Mourgoglou), Forum Mathematicum, volume 27, issue 1, (2015).
Paley-Wiener spaces and applications, (with A. Mayeli) J. Funct. Anal. 268 (2015), no. 2, 363-375.
Decay of the Fourier transform, (with Elijah Liflyand), Analytic and geometric aspects. Birkhauser/Springer, Basel, (2015).
Three-point configurations determined by subsets of the two-dimensional finite plane via the Elekes-Sharir paradigm, (with M. Bennett and J. Pakianathan) Combinatorica 34 (2014), no. 6, 689-706
Theory of dimension for large discrete sets and applications, (with M. Rudnev and I. Uriarte-Tuero), Math. Model. Nat. Phenom. 9 (2014), no. 5, 148-169.
Sharpness of Falconer's estimate and the single distance problem in Z_q^d, (with S. Senger), Combinatorial and additive number theory-CANT 2011 and 2012, 63-77, Springer Proc. Math. Stat., 101, Springer, New York, (2014).
Distance graphs in vector spaces over finite fields. Recent advances in harmonic analysis and applications, (with Hart, Derrick; Koh, Doowon; Senger, Steven; and Uriarte-Tuero, Ignacio) 139–160, Springer Proc. Math. Stat., 25, Springer, New York, 2013.
Restricted convolution inequalities, multi-linear operators and applications, (with D. Geba, A. Greenleaf, E. Sawyer and E. Palsson), Math Research Letters, volume 20, No. 4 (2013).
Geometric configurations in the ring of integers modulo p^l, (with D. Covert and J. Pakianathan), volume 61, issue 5, (2013).
Size of orthogonal sets of exponentials on the disk, (with M. Kolountzakis), Revista Iberoamericana, volume 29, 739-747 (2013).
Periodicity of the spectrum in dimension one, (with M. Kolountzakis), Analysis and PDE, volume 6, no. 4 (2013).
Multi-parameter projection theorems with applications to sums-products and finite point configurations in the Euclidean setting, (with B. Erdogan and D. Hart), (Springer volume in honor of Kostya Oskolkov's 65th birthday).
Geometric configurations in the ring of integers modulo p^l, (with D. Covert and J. Pakianathan), Indiana Univ. Math. J. 61 (2012), no. 5, 1949–1969.
Three point configuration, a bilinear operator and applications to discrete geometry, (with A. Greenleaf), Analysis & PDE 5-2 (2012), 397-409.
Pinned distance sets, k-simplices, Wolff's exponent in finite fields and sum-product estimates, (with Jeremy Chapman, M. Burak Erdoğan, Derrick Hart, Alex Iosevich and Doowon Koh), Mathematische Zeitschrift, Math. Z. 271 (2012), no. 1-2, 63-93.
On the Mattila-Sjolin theorem, (with M. Mourgoglou and K. Taylor), Annales Academic Scientiarum Fennicae, 37 no. 2, (2012).
On sets of directions determined by fractal subsets of the Euclidean space, (with M. Mourgoglou and S. Senger), Journal D'Analyse, 116 no. 1, (2012).
Lattice points close to families of surfaces, non-isotropic dilations and generalized Radon transforms, (with K. Taylor), New York Journal of Mathematics, 17, 1-19, (2011).
Fourier integral operators, fractal sets and the regular value theorem, (with S. Eswarathasan and K. Taylor), Advances in Mathematics, 228, (2011).
An analog of the Furstenberg-Katznelson-Weiss theorem on triangles in sets of positive density in finite field geometries, (with D. Covert, D. Hart, S. Senger and I. Uriarte-Tuero), Discrete Math. 311, no. 6, 423-430, (2011).
On application of Guth-Katz theorem, (with M. Rudnev and O. Roche-Newton), Mathematics Research Notices 18, no. 4, 1-7.
On directions determined by subsets of vector spaces over finite fields, (with H. Morgan and J. Pakianathan), Integers, 11, (2011).
Erdos distance problem, (with J. Garibaldi and S. Senger), AMS Student Library Series, 56, (2011).
A universal Stein-Tomas restriction estimate for measures in three dimensions, (with S. Roudenko), Festschrift dedicated to Mel Nathanson's 60th birthday, Springer, (2010) 171-178.
Extension theorems for paraboloids in the finite field setting, (with D. Koh), Mathematische Zeitschrift, 266, (2010) no.2 471-487.
Extension theorems for spheres in the finite field setting, (with D. Koh), Forum Math. 22 (2010), no. 3, 457-483.
The discrepancy of a needle on a checkerboard II, (with M. Kolountzakis) Unif. Distrib. Theory 5 (2010), no. 2, 1-13.
Sets with integral distances in finite fields, (with I. Shparlinski and M. Xiong) Trans. Amer. Math. Soc. 362 2010, no. 4, 2189--2204.
On rapid generation of ${\rm SL}\sb 2(\Bbb F\sb Q)$, (with J. Chapman) Integers 9 (2009), A4, 47-52.
Orthogonal systems in vector spaces over finite fields, (with S. Senger), Electronic J. of Combinatorics, volume 15, December (2008).
Powder diffraction from a combinatorial and analytic viewpoint, (with M. Rudnev), Integers, volume 8, (2008).
Sums and products in finite fields: an integral geometric viewpoint, (with D. Hart), Contemporary Mathematics, volume 464, (2008).
Fourier analysis and geometric combinatorics Topics in mathematical analysis, 321--335, Ser. Anal. Appl. Comput., 3, World Sci. Publ., Hackensack, NJ, 2008.
Ubiquity of simplexes in vector spaces over finite fields, (with D. Hart), Analysis Mathematica, volume 34 (2008).
A view from the top: analysis, combinatorics and number theory, (book), AMS Student Library Series, volume 39.
Fourier analysis and convexity. Edited by Luca Brandolini, Leonardo Colzani, Alex Iosevich and Giancarlo Travaglini. Applied and Numerical Harmonic Analysis. Birkhauser Boston, Inc., Boston, MA
Averages over homogeneous hypersurfaces, Forum Mathematicum, Volume 8 (1996), Number 2, pp. 219-235.