About me
I am post-doc at the Ohio State University. Before that I was a Ph.D. student of Uri Shapira, and before that I finished my M.Sc. under the supervision of Rami Band.
I am mainly interested in statistical questions related to number theory and homogeneous dynamics, and I am intersted in the spectral geometry of the Laplacian.
Research
Preprints
Equidistribution of polynomially bounded o-minimal curves in homogeneous spaces, joint with N. A. Shah and H. Xing. arXiv:2407.04935, 2024.
Published
Limiting distribution of lattice orbits in a moduli space of rank m discrete subgroups in (m+1)-space, joint with H. Xing. International Mathematical Research Notices, 2024.
Linnik's problem in fiber bundles over quadratic homogeneous varieties, Joint with U. Shapira. Monatshefte für Mathematik, 2023.
(The note "On the distribution of primitive subgroups of $\Z^d$ of large covolume" treats a simpler case).
On the image in the torus of sparse points on dilated analytic curves. Israel Journal of Mathematics, 2022.
Talk recordings: IMU lightning session (winner talk), and Webinar on Diophantine approximation and homogeneous dynamics.
Neumann Domains on Graphs and Manifolds, Joint with L. Alon, R. Band & S. K. Egger. Analysis and Geometry on Graphs and Manifolds (London Mathematical Society Lecture Note Series), 2020.
Courant-sharp Eigenvalues of Neumann 2-Rep-tiles, Joint with R. Band & D. Fajman. Letters in Mathematical Physics, 2017.
Miscellaneous notes
Slides on Rudolph's x2x3 theorem for a talk given in Barak Weiss's homogeneous dynamics seminar.
Tutorial notes for introduction to complex analysis.
Tutorial notes (hebrew) for introduction to linear algebra.
Here you can be impressed by some of my amateur photography :)
Department of Mathematics, The Ohio State University,
624 MW.
Bersudsky87 "at" gmail dot com