I am currently a TRIPODS Postdoctoral Fellow in the Department of Mathematics, Statistics, and Computer Science at the University of Illinois at Chicago.

I have recently received my PhD in Computer Science from Rutgers University under the supervision of Swastik Kopparty. Before Rutgers, I spent two years at Chennai Mathematical Institute.

I am broadly interested in Discrete Mathematics, Probability, Coding Theory, etc..

CV (sometimes out of date)

**Email: **adityap something uic something edu

## Research

*Enumerating independent sets in Abelian Cayley graphs. *(with Liana Yepremyan)* *[arXiv]

under submission

*Approximately counting independent sets in bipartite graphs via graph containers. *(with Will Perkins and Matthew Jenssen)* *[arXiv]

submitted

*Independent sets of a given size and structure in the hypercube. *(with Will Perkins and Matthew Jenssen)* *[arXiv]

submitted

*On the list recoverability of **randomly** punctured codes.* (with Ben Lund) [ECCC] [arXiv]

RANDOM 2020

*On the AC0[+] complexity of Andreev's Problem.* [ECCC] [arXiv]

FSTTCS 2019

*A spectral bound on hypergraph discrepancy.* [arXiv]

ICALP 2020, Best Student Paper award

*Simplified inpproximability of hypergraph coloring via t-agreeing families.* (with Per Austrin and Amey Bhangale) [ECCC] [arXiv]

manuscript

*Improved efficiency for explicit covering codes matching the sphere-covering bound.* (with Yihan Zhang). [arXiv]

ISIT 2020

*Discrepancy in random hypergraph models.* [arXiv]

manuscript

*Improved Inapproximability of rainbow coloring.* (with Per Austrin and Amey Bhangale) [arXiv]

SODA 2020

*Syndrome decoding of Reed-Muller codes and tensor decomposition over finite fields.* (with Swastik Kopparty) [arXiv]

SODA 2018

*A short note on the joint entropy of n/2-wise independence.* (with Amey Bhangale) [arXiv]

ISIT 2018

*On the size of the image of a linear map on a finite grid.* (with John Kim) [arXiv]

manuscript

*On zeros of a polynomial in a finite grid.* (with Anurag Bishnoi, Pete Clark, and John Schmitt) [arXiv]

Combinatorics, Probability, and Computing 2018

## Teaching

Fall 2021: Mathematical Theory of Artificial Intelligence

**Previous: **Mathematical Foundations of Data Science

## Other

I organzed a mini-workshop on some recent applications of graph container methods.

I gave a talk at the STOC 2020 workshop on Recent advances in Discrepancy and Applications on discrepancy of random and pseudorandom hypergraphs. Slides are available in the link.