I was a Zassenhaus visiting assistant professor 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.
My research focuses on number-theoretic equidistribution problems in homogeneous space, homogeneous dynamics, and the spectral geometry of the Laplacian.
Preprints
Limit distribution of SO(n,1) orbits on k-lattices in n+1 space. Joint with N. A. Shah. Submitted, 2025.
Published / Accepted
Equidistribution of polynomially bounded o-minimal curves in homogeneous spaces. Joint with N. A. Shah and H. Xing. To appear in Duke Mathmatical Journal, 2024.
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.
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.
Slides -- Talk given at the University of Postdam, 2017.
Miscellaneous
Slides University of Michigan geometry seminar Feb. 21, 2025.
Slides 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.
Bersudsky87 "at" gmail dot com