Papers
Reverse chronological order of arxiv submission; links go to arxiv versions, which are updated with changes once accepted for publication (i.e. you shouldn't worry about having to go to the journal for the most current version). See also arxiv and Google Scholar.
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(with J. Shen) Groups with pairings, Hall modules, and Hall-Littlewood polynomials Preprint, (2025).
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(with J. Shen) Non-Archimedean GUE corners and Hecke modules Preprint, (2024).
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(with H. H. Nguyen) Rank fluctuations of matrix products and a moment method for growing groups Preprint, (2024). slides
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The rank of a random triangular matrix over \( \mathbb{F}_q \) Preprint, (2024).
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Symmetric functions and the explicit moment problem for abelian groups Preprint, (2024). To appear in Proceedings of the AMS.
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Reflecting Poisson walks and dynamical universality in p-adic random matrix theory Preprint, (2023). slides
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Local limits in p-adic random matrix theory Proceedings of the London Mathematical Society 129(3):e12626, (2023). slides
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What is a p-adic Dyson Brownian motion? Preprint, (2023). To appear in Annales de l'Institut Henri Poincare (B) Probabilites et statistiques.
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(with H. H. Nguyen) Universality for cokernels of random matrix products Advances in Mathematics, 438:109451, (2024). 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) Extending support for the centered moments of the low lying zeroes of cuspidal newforms Preprint, (2022). To appear in Algebra and Number Theory.
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q-TASEP with position-dependent slowing Electronic Journal of Probability (27): 1-35 (2022). slides (though about half cover other things)
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Hall-Littlewood polynomials, boundaries, and p-adic random matrices International Math Research Notices, 2023 (13): 11217-11275. slides
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(with A. Ahn) Lyapunov exponents for truncated unitary and Ginibre matrices Annales de l'Institut Henri Poincare (B) Probabilites et statistiques, 59 (2): 1029-1039 (2023).
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(with A. Ahn and M. Russkikh) Lozenge tilings and the Gaussian free field on a cylinder Communications in Mathematical Physics, 396 (3): 1221-1275 (2022). slides
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Limits and fluctuations of p-adic random matrix products Selecta Mathematica, 27 (05):1-71 (2021).
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Spectral distributions of periodic random matrix ensembles Random Matrices: Theory and Applications, 10(01) 2021.
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(with S. DeHority, X. Gonzalez, and N. Vafa) Moonshine for all finite groups Res. Math. Sci, 5 (2018).
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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 183 (Supplement C) (2018) 407-437.
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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 5 (2018) no. 3, 1850006. slides
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(with S. J. Miller, C. Peterson, and C. Sprunger) The bidirectional ballot polytope Integers: The Electronic Journal of Combinatorial Number Theory 18 (2018).
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(with V. Gupta and U. Roy) A generalization of Tokuyama's formula to the Hall-Littlewood polynomials Electronic J. Combin. 22 (2015), no. 2.
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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