[1] Sharp Threshold for Universality of Rational Canonical Forms over a Finite Field Preprint, 2026. [arXiv]
Publications
[2] The Resultant Distribution Method: Universality for p-adic Random Matrices and Polynomials Preprint, 2026. [arXiv]
[3] Hitting time mixing for random k-cycles, joint with Chen Shang, Jiyue Zeng, and Xinyi Zhang Preprint, 2026. [arXiv]
[4] p-adic Sum-Product, Projections, and Furstenberg Sets Preprint, 2026. [arXiv]
[5] Eigenvalue Distribution of p-adic Random Matrices Among Algebraic Extensions, with an Analogue for p-adic Random Polynomials Preprint, 2026. [arXiv]
[6] The Cutoff Profile for Random Transpositions on Repeated Cards in the Full Range of Parameters Preprint, 2026. [arXiv]
[7] The k-cycle shuffling with repeated cards Preprint, 2026. [arXiv]
[8] Quantative universality for cokernels of matrices with symmetries Preprint, 2026. [arXiv]
[9] Eigenvalues of p-adic random matrices, joint with Roger Van Peski Preprint, 2026. [arXiv]
[10] High-low method and p-adic Furstenberg set over the plane, joint with Kevin Ren Preprint, 2025. [arXiv]
[11] Universality of rational canonical form for random matrices over a finite field Preprint, 2025. [arXiv]
[12] The Szemeredi-Trotter theorem over arbitrary field of characteristic zero Preprint, 2025. [arXiv]
[13] Groups with pairings, Hall Modules, and Hall-Littlewood Polynomials, joint with Roger Van Peski International Mathematics Research Notices, 2025. [arXiv] [journal]
[14] Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Selecta Mathematica, 2025. [arXiv] [journal]
[15] Non-Archimedean GUE corners and Hecke modules, joint with Roger Van Peski Preprint, 2024. [arXiv]