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A list of all the posts and pages found on the site. For you robots out there is an XML version available for digesting as well.
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Posts
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Blog Post number 4
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Blog Post number 1
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portfolio
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publications
Gaussian universality of p-adic random matrix products via corners
Published in Electronic Journal of Probability, 2024
Download here
Non-Archimedean GUE corners and Hecke modules, joint with Roger Van Peski
Published in arXiv preprint, 2024
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Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism
Published in arXiv preprint, 2025
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Groups with pairings, Hall Modules, and Hall-Littlewood Polynomials, joint with Roger Van Peski
Published in International Mathematics Research Notices, 2025
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The Szemeredi-Trotter theorem over arbitrary field of characteristic zero
Published in arXiv preprint, 2025
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Universality of rational canonical form for random matrices over a finite field
Published in arXiv preprint, 2025
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High-low method and p-adic Furstenberg set over the plane
Published in arXiv preprint, 2025
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Eigenvalues of p-adic random matrices
Published in arXiv preprint, 2026
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Quantative universality for cokernels of matrices with symmetries
Published in arXiv preprint, 2026
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talks
2023 Spring: Automorphic Forms Student Seminar
Published:
Daniel Bump, “Automorphic Forms and Representations”
2023 Fall: Student Seminar of the Work of Manjul Bhargava
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Number field asymptotic and Selmer group
2024 Spring: Student Probability Seminar
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Symmetric Functions and Hall Polynomials
Random alternating/Hermitian non-archimedean matrices and Hecke algebra
Published:
Random non-archimedean matrices play an important role in Cohen-Lenstra heuristics, whose singular numbers provide information for the distribution of ideal class groups for quadratic extension and Tate-Shafarevich groups of elliptic curves. In this talk, I will provide our result on the distribution of singular numbers for random alternating and Hermitian non-archimedean matrices, based on our new application of Hecke algebra.
2024 Fall: Student Probability Seminar
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2025 Spring: Student Probability Seminar
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teaching
Teaching experience 1
Undergraduate course, University 1, Department, 2014
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Teaching experience 2
Workshop, University 1, Department, 2015
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