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) .

• Integration of Voevodsky motives, 2018.

• 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*:

• Riemannian structures and point-counting, 2019.

*Not intended for publication.