I am an assistant professor (RTPC) of mathematics at the University of Southern California. Currently, I am on leave visiting the Max Planck Institute for Mathematics in Bonn. I received my PhD from Princeton University in 2018, and I have previously worked on (motivic) stable homotopy theory, integration of mixed sheaves and connections to the birational geometry of Calabi-Yau varieties, analytic number theory with applications to Ramanujan graphs, and linear programming concerning sphere packings. My current interests are related to spectral gaps of hyperbolic manifolds.
Email: mzargar[at]usc[dot]edu
Papers and Preprints:
Comparison of Stable Homotopy Categories and a Generalized Suslin-Voevodsky Theorem, Advances in Mathematics, 354 (2019) .
Sections of quadrics over A^1_{F_q}, 2019. Joint with N. Sardari.
Ramanujan graphs and exponential sums over function fields. Joint with N. Sardari. Journal of Number Theory (2020).
New upper bounds for spherical codes and packings, 2020. Joint with N. Sardari.
Notes*:
*Not intended for publication.