Research in the Mathematical Sciences
Editor-in-Chief for Analysis.
Professor of Mathematics · University
of Rochester
Alex Iosevich
I work at the meeting point of harmonic analysis, geometric measure theory, combinatorics, number theory, signal recovery, and the mathematical foundations of data science.
Fellow of the American Mathematical Society · 2026 Simons Fellow
Current
Research, mentoring, and activity now
StemForAll 2026
The University of Rochester undergraduate research program runs July 27–August 7, 2026, with projects spanning pure mathematics, data science, physics, and biology.
For current and upcoming invited lectures, see the full CV.
Editorial leadership
Service to the mathematical community
I currently serve in senior editorial roles across analysis and related areas.
Journal of Functional Analysis
Associate Editor.
Journal of Fourier Analysis and Applications
Editor.
Boletín de la Sociedad Matemática Mexicana
Member of the Editorial Board.
Research
Four connected directions
The central theme is that analytic structure can force geometric, combinatorial, and information-theoretic rigidity.
Harmonic analysis and geometry
Fourier restriction, oscillatory integrals, Falconer-type problems, and geometric measure theory.
Fourier ratio and recovery
Uncertainty principles, spectral synthesis, signal recovery, sampling, and complexity.
Geometric combinatorics
Distance and configuration problems in Euclidean spaces, finite fields, and finite rings.
Learning and data science
Connections between harmonic analysis, VC theory, statistical learning, and applied modeling.
People
Mentoring as part of research
My advising is built around regular collaboration, increasing independence, and sustained support. I have advised or co-advised 38 past and current Ph.D. students, supervised 48 undergraduate honors theses, worked with 15 postdoctoral researchers, and collaborated with more than 200 coauthors.
Programs
Vertical integration of research
StemForAll and related programs bring undergraduate students, graduate students, postdocs, faculty, and industry partners into a shared research environment.
Selected public links
Mathematics beyond the publication list
Falconer’s distance problem
A Quanta Magazine account of recent progress and the broader role of harmonic analysis.
Signal recovery lectures
A four-part lecture series from the Hausdorff Research Institute for Mathematics.
Graduate advising
An essay on the challenges and opportunities of advising graduate students.
Zog nit keyn mol, az du geyst dem letstn veg,
Khotsh himlen blayene farshteln bloye teg,
Kumen vet nokh undzer oysgebenkte sho,
S'vet a poyk ton undzer trot — mir zaynen do!