Itay Glazer-
Math Homepage
I am a Titchmarsh Research Fellow at the University of Oxford. In 2020-2023, I was a Boas Assistant Professor at Northwestern University. Before that, I was a PhD student at the Weizmann Institute of Science, where I had the pleasure to be advised by Avraham Aizenbud.
Starting October 2024, I will be an assistant professor at the Technion - Israel Institute of Technology.
Research interests:
My research interests lie in group theory, algebraic geometry, representation theory and in applications of motivic integration. In a higher resolution, I currently focus on:
Studying pushforwards of smooth measures by analytic maps, and their relation to the singularities of those maps.
Word maps in various settings, and the random walks they induce on compact p-adic and compact Lie groups.
Motivic integration and the various applications to p-adic integration, arithmetic geometry, representation theory and singularity theory.
Preprints:
Fourier and small ball estimates for word maps on unitary groups (joint with Nir Avni and Michael Larsen), Arxiv.
Integrability and singularities of Harish-Chandra characters (joint with Julia Gordon and Yotam Hendel), Arxiv.
On the Fourier coefficients of word maps on unitary groups (joint with Nir Avni), Arxiv.
Integrability of pushforward measures by analytic maps (joint with Yotam Hendel and Sasha Sodin), Arxiv.
Publications:
A Number theoretic characterization of (FRS) morphisms: estimates on the number of Z/p^kZ-points (joint with Raf Cluckers and Yotam Hendel), Algebra and Number Theory (2023), Journal, Arxiv.
Anti-concentration of polynomials: dimension-free covariance bounds and decay of Fourier coefficients (joint with Dan Mikulincer), Journal of Functional Analysis (2022), Journal, Arxiv.
On singularity properties of word maps and applications to probabilistic Waring type problems (joint with Yotam Hendel), Memoirs of the AMS (to appear), Arxiv.
Pro-isomorphic zeta functions of nilpotent groups and Lie rings under base extension (joint with Mark Berman and Michael Schein), Transactions of the AMS (2022), Journal, Arxiv.
On singularity properties of convolutions of algebraic morphisms-the general case (joint with Yotam Hendel, with an appendix joint with Yotam Hendel and Gady Kozma), Journal of the London Mathematical Society (2020), Journal, Arxiv.
On singularity properties of convolutions of algebraic morphisms (joint with Yotam Hendel), Selecta Mathematica (2019), Journal, Arxiv.
On rational singularities and counting points of schemes over finite rings, Algebra and Number Theory (2019), Journal, Arxiv.
Representations of reductive groups distinguished by symmetric subgroups, Mathematische Zeitschrift (2018), Journal, Arxiv.
