The purpose of this workshop is to share the recent results obtained by the members of the Vertical Integration of Research group at the University of Rochester. Each graduate student and postdoctoral researcher in the group is going to give a 20 minute presentation on their recent results. Several undergraduate students are going to give talks as well. The abstracts of the talks will be posted shortly.


Schedule: (tentative)

8.30 a.m. - 8.50 a.m. Gio Garza (University of Delaware) - The Fourier ratio and Chang's lemma

9 a.m. - 9.20 a.m. Shantanu Deodhar - Spectral synthesis of hypersurfaces in ${\mathbb R}^d.$

9.30 a.m. - 9.50 a.m. Neeraja Kulkarni - TBD $$${\mathbb R}^d.$

10 a.m. - 10.20 a.m. Ella Yu - The uncertainty principle and Orlicz spaces.

10.30 a.m. - 11 a.m. Break

11 a.m. - 11.20 a.m. Hari Nathan - Discrete energy and complexity.

11.30 a.m. - 11.50 a.m. Will Burstein - Bourgain's theorem on Orlicz spaces near $L^2.$

Noon- 1 p.m. Pizza and free discussion

1 p.m. - 1.20 p.m. Pablo Bhowmik - Graphs and multi-linear operators on ${\mathbb F}_q^d.$

1.30 p.m. - 1.50 p.m. Vishal Gupta - TBD

2 p.m. - 2.20 p.m. Quy Pham - Projection theory and Falconer type problems in Euclidean space

2.30 p.m. - 3 p.m. Break ${\mathbb Z}_N^2.$

3 p.m. - 3.20 p.m. Nathaniel Shaffer - The Fourier ratio, complexity and time series analysis ${\mathbb R}^d.$

3.30 p.m. - 3.50 p.m. Spencer Lyudovik - imputation of time series, noise removal and Talagrand's theorem

4 p.m.- 4.20 p.m. Shengze Duan - Linear and multi-linear operators on fractals.

4.30 p.m. - 4.50 p.m. Nathaniel Kingsbury (CUNY) - On the Hickman-Wright restriction theorem for the parabola in ${\mathbb Z}_N^2$.