Trung Vu

University of Illinois at Urbana-Champaign

My name is Trung Vu. I am 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 statistical mechanics and its interaction with other areas such as algebraic combinatorics, probability, discrete complex analysis, and representation theory. Specifically, I like to think about statistical mechanics models such as vertex models, dimer models and Ising models. Currently, I am studying the T-systems, the Q-systems, domino tiling of graphs arising from the discrete stepped initial data surface of these systems, limit shapes, embedding 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.

I am the organizer of University of Illinois Urbana-Champaign Integrability & Representation Theory Seminar in 2024-2025 academic year with Philippe Di Francesco, Rinat Kedem, David Keating, Wonwoo Kang.

CV

Publication

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

  • Trung Vu (joint with Philippe Di Francesco), Arctic curves of T-system with slanted initial data, Journal or Physics A: Mathematical and Theoretical, 57 335201, [journal] [arXiv]

Submitted and Preprints

Ongoing project

Update

  • October 25th, 2024: University of Michigan Combinatorics Seminar, Ann Arbor, Michigan
  • October 10th, 2024: Purdue University Mathematical Physics Seminar, West Lafayette, Indianna
  • 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