Home
Research

*Existence of the Free Energy for Heavy-Tailed Spin Glasses* (with A. Jagannath).
(arXiv)

*Maximum of the Characteristic Polynomial of Wigner Matrices* (with P. Bourgade and O. Zeitouni).
(in preparation)

*Quenched Large Deviation Principles for Projections of L _{p}^{n} Balls* (with K. Ramanan and X. Xie).
(preprint, available upon request)

*Fast Permutation Inference for Randomized Experiments With Binary Outcomes* (with P. M. Aronow and H. Chang).
(preprint)

*Mobility Edge of Lévy Matrices* (with A. Aggarwal and C. Bordenave).
(arXiv)

*Single Eigenvalue Fluctuations of General Wigner-Type Matrices* (with B. Landon and P. Sosoe), to appear in Probability Theory and Related Fields.
(arXiv)

*Fluctuations in Local Quantum Unique Ergodicity for Generalized Wigner Matrices* (with L. Benigni), Communications in Mathematical Physics 391 (2), 2022.
(arXiv)

*Optimal Delocalization for Generalized Wigner Matrices* (with L. Benigni), Advances in Mathematics 396, 2022.
(arXiv)

*Eigenvector Statistics of Lévy Matrices* (with A. Aggarwal and J. Marcinek), Annals of Probability 49 (4), 2021.
(arXiv)

*Universality of the Least Singular Value for the Sum of Random Matrices* (with Z. Che), Electronic Journal of Probability 26, 2021.
(arXiv)

*An Improved Lower Bound for Sparse Reconstruction from Subsampled Hadamard Matrices* (with J. Błasiok, K. Luh, J. Marcinek, and S. Rao),
FOCS 2019. (arXiv)

*Tail Bounds for Gaps Between Eigenvalues of Sparse Random Matrices* (with K. Luh), Electronic Journal of Probability 26, 2021.
(arXiv)

*Comparison Theorem for Some Extremal Eigenvalue Statistics* (with B. Landon and J. Marcinek), Annals of Probability 48 (6), 2020.
(arXiv)

*Statistical Thresholds for Tensor PCA* (with A. Jagannath and L. Miolane), Annals of Applied Probability 30 (4), 2020.
(arXiv)

*GOE Statistics for Lévy Matrices* (with A. Aggarwal and H.-T. Yau), Journal of the European Mathematical Society, 23 (11), 2021.
(arXiv)

*Universality of the Least Singular Value for Sparse Random Matrices* (with Z. Che), Electronic Journal of Probability 24, 2019.
(arXiv)

*Simplicial Abel–Jacobi Maps and Reciprocity Laws* (with M. Kerr and J. Lewis, and an appendix by J. I. Burgos-Gil), Journal of Algebraic Geometry 27 (1), 2018.
(arXiv)

*Schatten-Class Truncated Toeplitz Operators* (with R. Rochberg), Proceedings of the American Mathematical Society 144 (2), 2016.
(arXiv)

*Formulas for Odd Zeta Values and Powers of π* (with M. Chamberland), Journal of Integer Sequences 14 (2), 2011.
(journal)