About
I am an assistant professor at the CSE Department at Ohio State University.
E-mail: pooyahat at gmail dot com
Research Interests: Randomness and Pseudo randomness, Complexity Theory, Combinatorics
I spent two years as a postdoc at UT Austin hosted by David Zuckerman. I also spent two years as a postdoc at DIMACS and in Avi‘s group at the Institute for Advanced Study. I received my PhD from the Computer Science Department of University of Chicago, where I was lucky to be supervised by Alexander Razborov and Madhur Tulsiani.
Higher Order Fourier Analysis and Applications,
(with H. Hatami and S. Lovett)
Submitted Draft [ PDF ]
Selected Papers (full list here):
- Pseudorandom Generators from Polarizing Random Walks
(with Eshan Chattopadhyay, Kaave Hosseini, Shachar Lovett)
– CCC 2018 [ ECCC ]
– To appear in Theory of Computing’s Special Issue for CCC 2018 - Improved Pseudorandomness for Unordered Branching Programs through Local Monotonicity,
(with Eshan Chattopadhyay, Omer Reingold, Avishay Tal)
STOC 2018 [ ECCC ] - General systems of linear forms: equidistribution and true complexity,
(with Hamed Hatami and Shachar Lovett)
[ Journal ] [ ECCC ] [ Talk Video ]
Advances in Mathematics, 292:446-477, 2016 - A characterization of functions with vanishing averages over products of disjoint sets,
(with Hamed Hatami and Yaqiao Li)
[ arXiv ] [ Talk Video ]
European Journal of Combinatorics, 56 (2016) 81-93 - Every locally characterized affine-invariant property is testable,
(with A. Bhattacharyya, E. Fischer, H. Hatami, S. Lovett)
[ ECCC ]
STOC 2013 - A lower Bound for the length of a Partial Transversal in a Latin Square,
(with Peter W. Shor)
[ pdf ]
J. Comb. Theory Ser. A, 115, 7 (2008) 1103-1113.
