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Hello! Welcome to my homepage. I am a mathematics graduate student at MIT (since Fall 2020), advised by Yufei Zhao. My research interests include combinatorics, probability, and number theory.
Hello! Welcome to my homepage. I am a mathematics graduate student at MIT (since Fall 2020), advised by Yufei Zhao. My research interests include combinatorics, probability, and number theory.
Selected Works
Matthew Kwan, A. Sah, Mehtaab Sawhney, and Michael Simkin. High-Girth Steiner Triple Systems. Annals of Mathematics, accepted.
(pdf) (online) (arXiv) (Article in Quanta Magazine) (Article by IST Austria)
A. Sah. Diagonal Ramsey via effective quasirandomness. Duke Mathematical Journal, 172(3), 545-567.
(pdf) (online) (arXiv) (Article in Quanta Magazine)
James Leng, A. Sah, and Mehtaab Sawhney. Improved Bounds for Szemerédi's Theorem, preprint.
(pdf) (arXiv)
James Leng, A. Sah, and Mehtaab Sawhney. Quasipolynomial bounds on the inverse theorem for the Gowers \(U^{s+1}[N]\)-norm, preprint.
(pdf) (arXiv)
A. Sah, Mehtaab Sawhney, David Stoner, and Yufei Zhao. A reverse Sidorenko inequality. Inventiones mathematicae, 221(2), 665-711.
(pdf) (online) (arXiv) (Article in MIT News)
Vishesh Jain, A. Sah, and Mehtaab Sawhney. Singularity of discrete random matrices. Geometric and Functional Analysis, 31(5), 1160-1218.
(pdf) (online) (arXiv)
Matthew Kwan, A. Sah, Lisa Sauermann, and Mehtaab Sawhney. Anticoncentration in Ramsey graphs and a proof of the Erdős-McKay conjecture. Forum of Mathematics, Pi, 11:e21, 1-74.
(pdf) (online) (arXiv)
Asaf Ferber, Matthew Kwan, A. Sah, and Mehtaab Sawhney. Singularity of the \(k\)-core of a random graph. Duke Mathematical Journal, 172(7), 1293-1332.
(pdf) (online) (arXiv)
A. Sah, Mehtaab Sawhney, and Michael Simkin. Threshold for Steiner triple systems. Geometric and Functional Analysis, 33(4), 1141-1172.
(pdf) (online) (arXiv)
Peter Keevash, A. Sah, and Mehtaab Sawhney. The existence of subspace designs, preprint.
(pdf) (arXiv) (Article in Quanta Magazine)
A. Sah, Julian Sahasrabudhe, and Mehtaab Sawhney. The limiting spectral law for sparse iid matrices, preprint.
(pdf) (arXiv)
Asaf Ferber, Matthew Kwan, Bhargav Narayanan, A. Sah, and Mehtaab Sawhney. Friendly bisections of random graphs. Communications of the American Mathematical Society, 2, 380-416.
(pdf) (online) (arXiv)
A. Sah and Mehtaab Sawhney. Subgraph distributions in dense random regular graphs. Compositio Mathematica, 159, 2125-2148.
(pdf) (online) (arXiv)
A. Sah, Mehtaab Sawhney, David Stoner, and Yufei Zhao. Exponential improvements for superball packing upper bounds. Advances in Mathematics, 365, 107056.
(pdf) (online) (arXiv)