Trung Vu
University of Illinois at Urbana-Champaign
My name is Trung Vu. I am currently a fifth-year mathematics Ph.D. student at the University of Illinois Urbana-Champaign. My advisors are Professor Philippe Di Francesco and Professor Rinat Kedem.
. I am currently on the job market Fall 2024.I am interested in algebraic combinatorics and integrable systems. My research revolves around combinatorial aspects of representation theory, statistical mechanics, probability and mathematical physics. Specifically, I like to think about cluster algebra, integrable combinatorics and vertex and dimer models. Currently, I am studying the T-system, the Q-system, domino tiling of Aztec diamond, limit shape and the artic curve phenomena. I put down some short introductory ideas from my own notes to each of these topics on the "Topics" tab above along with references for more details.
Publication
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Trung Vu (joint with Kosmas Diveris), Matrix Square Roots of Polynomials, Pi Mu Epsilon Journal, 2018
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Trung Vu (joint with Philippe Di Francesco), Arctic curves of T-system with slanted initial data, Journal or Physics A: Mathematical and Theoretical, 2024.
Submitted and Preprints
Ongoing project
t-embedding of the T-system dimer.
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T-system dimer density and height fluctuation.
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T-system dimer integrable system and spectral Harnack curves.
Update
- July 6th - July 21st, 2024: Integrable Probability Summer School, University of Virginia, Charlottesville, VA
- June 25th - 30th June 2024: Jim Propp's 60th Birthday Conference, Statistical and Dynamical Combinatorics, MIT, Cambridge, Massachussett
- March 2024-June 2024: Visiting researcher/participant of Geometry, Statistical Mechanics, and Integrability Long Program at Institute for Pure and Applied Mathematics, Los Angeles
- August 2023, 14-24th: Dimers: Combinatorics, Representation Theory and Physics at CUNY, NYC
- Fall 2022 - Fall 2023: I am supported by Bourgin fellowship and University of Illinois at Urbana-Champaign Research Board
- April 2022: Analytic Conbinatorics in Several Variables Workshop at American Institute of Mathematics
- June 21-25, 2021: 9th International Conference on Lattice Path Combinatorics & Applications