Papers
Reverse chronological order of arxiv submission. Arxiv versions are updated with changes once accepted for publication, so there's no need to use the (potentially paywalled) journal link to find the updated version.
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(with J. Shen) Eigenvalues of \(p\)-adic random matrices. [arxiv]
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(with M. Duits) The Gamma-disordered Aztec diamond. [arxiv]
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(with Y. Huang and H. H. Nguyen) Cohen-Lenstra flag universality for random matrix products. [arxiv]
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(with J. Shen) Groups with pairings, Hall modules, and Hall-Littlewood polynomials. [IMRN], [arxiv]
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(with J. Shen) Non-Archimedean GUE corners and Hecke modules. [arxiv]
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(with H. H. Nguyen) Rank fluctuations of matrix products and a moment method for growing groups. [arxiv], [slides]
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The rank of a random triangular matrix over \( \mathbb{F}_q \). [IMRN], [arxiv]
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Symmetric functions and the explicit moment problem for abelian groups. [Proceedings of the AMS], [arxiv]
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Reflecting Poisson walks and dynamical universality in p-adic random matrix theory. To appear in Annals of Probability. [arxiv], [slides]
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Local limits in p-adic random matrix theory. [Proceedings of the London Mathematical Society], [arxiv], [slides]
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What is a p-adic Dyson Brownian motion? To appear in Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques. [arxiv]
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(with H. H. Nguyen) Universality for cokernels of random matrix products. [Advances in Mathematics], [arxiv], [slides]
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(with P. Cohen, J. Dell, O. E. Gonzalez, G. Iyer, S. Khunger, C. H. Kwan, S. J. Miller, A. Shashkov, A. Smith Reina, C. Sprunger, N. Triantafillou, N. Truong, S. Willis, and Y. Yang) On the moments of one-level densities in families of holomorphic cusp forms in the level aspect. To appear in Algebra and Number Theory. [arxiv]
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q-TASEP with position-dependent slowing. [Electronic Journal of Probability], [arxiv], [slides] (about half cover other things)
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Hall-Littlewood polynomials, boundaries, and p-adic random matrices. [IMRN], [arxiv], [slides]
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(with A. Ahn) Lyapunov exponents for truncated unitary and Ginibre matrices. [Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques], [arxiv]
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(with A. Ahn and M. Russkikh) Lozenge tilings and the Gaussian free field on a cylinder. [Communications in Mathematical Physics], [arxiv], [slides]
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Limits and fluctuations of p-adic random matrix products. [Selecta Mathematica], [arxiv]
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Spectral distributions of periodic random matrix ensembles. [Random Matrices: Theory and Applications], [arxiv]
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(with S. DeHority, X. Gonzalez, and N. Vafa) Moonshine for all finite groups. [Res. Math. Sci.], [arxiv]
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(with O. E. Gonzalez, C. H. Kwan, S. J. Miller, and T. A. Wong) On smoothing singularities of elliptic orbital integrals on GL(n) and Beyond Endoscopy. [Journal of Number Theory], [arxiv]
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(with P. Burkhardt, P. Cohen, J. Dewitt, M. Hlavacek, S.J. Miller, C. Sprunger, Y.N. Truong Vu, and K. Yang) Random matrix ensembles with split limiting behavior. [Random Matrices: Theory and Applications], [arxiv], [slides]
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(with S. J. Miller, C. Peterson, and C. Sprunger) The bidirectional ballot polytope. [Integers], [arxiv]
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(with V. Gupta and U. Roy) A generalization of Tokuyama's formula to the Hall-Littlewood polynomials. [Electronic J. Combin.], [arxiv]
See also arxiv and Google Scholar.
Other writings: PhD thesis and undergraduate thesis.
Many of the above papers have linked slides next to them, which might be helpful to flip through. Some miscellaneous other notes/slides:
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