Assistant professor at the CSE Department at the Ohio State University.

Office: Dreese Lab 489
E-mail: pooyahat at gmail dot com

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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 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.

Research Interests: Theoretical computer science: Randomness and Pseudorandomness, Communication Complexity, Analysis of Boolean Functions, Additive Combinatorics

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Higher Order Fourier Analysis and Applications,
(with H. Hatami and S. Lovett)
Foundations and Trends in Theoretical Computer Science,
[ Free Plain Version ]

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Selected Papers (full list here): 

• The Implicit Graph Conjecture is False
  (with Hamed Hatami)
  Preprint [ arXiv ]
• Fooling Constant-Depth Threshold Circuits
  (with William M. Hoza, Avishay Tal, Roei Tell)
  FOCS 2021 [ ECCC ]
• XOR Lemmas for Resilient Functions against Polynomials
  (with Eshan Chattopadhyay, Kaave Hosseini, Shachar Lovett, David Zuckerman)
  STOC 2020 [ ECCC ]
• Tight Bound on the Number of Relevant Variables in a Bounded degree Boolean function
  (with John Chiarelli and Michael Saks)
  Combinatorica 2020 [ Journal ] [ arXiv ]
• 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)
  Advances in Mathematics, 2016  [ Journal ] [ ECCC ] [ Talk Video ]
• A characterization of functions with vanishing averages over products of disjoint sets,
  (with Hamed Hatami and Yaqiao Li)
  European Journal of Combinatorics, 2016 [ arXiv ] [ Talk Video ]
• Every locally characterized affine-invariant property is testable,
  (with A. Bhattacharyya, E. Fischer, H. Hatami, S. Lovett)
  STOC 2013 [ ECCC ]
• A lower Bound for the length of a Partial Transversal in a Latin Square,
  (with Peter W. Shor)
  J. Comb. Theory Ser. A 2008 [ Journal ] [ pdf ]

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I co-organize the CSE theory seminar of our theory group.