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.

Resume

Publication

  • Trung Vu (joint with Kosmas Diveris), Matrix Square Roots of Polynomials, Pi Mu Epsilon Journal, 2018

  • 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

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