Trung Vu

University of Illinois at Urbana-Champaign

My name is Trung Vu. I am currently a fourth-year mathematics Ph.D. student at the University of Illinois at Urbana-Champaign. I obtained my BA in mathematics with a concentration in neuroscience from St. Olaf College. My advisors are Professor Philippe Di Francesco and Professor Rinat Kedem.

I am interested in algebraic combinatorics and combinatorial aspects of representation theory and mathematical physics. Specifically, I like to think about cluster algebra, integrable combinatorics and vertex models. Currently, I am studying T-system and Q-system and their cluster algebra, integrability via dimer perspective. I am also working on domino tiling/dimer problems of a generalized version of Aztec diamond.

Resume

Publication

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

Submitted and Preprints

  • Trung Vu (joint with Philippe Di Francesco), Arctic Curves of T-system with slanted initial data, submitted to Journal or Physics A: Mathematical and Theoretical, 2024, Preprint: arxiv.org/abs/2403.02479

Update

  • 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
  • Spring Semester 2022: I am teaching Math231 Calculus 2 Merit Section
  • Fall Semester 2021: I am organizing a reading group on Lie algebra and Lie Algebra representation of finite and infinite dimension. Check for information above
  • Fall Semester 2021: I am teaching Math 221: Calculus 1 Merit Section
  • July 12-23, 2021: IBM Global Workshop in Quantum Machine Learning
  • June 21-25, 2021: 9th International Conference on Lattice Path Combinatorics & Applications