Trung Vu
University of Illinois at UrbanaChampaign
My name is Trung Vu. I am currently a secondyear mathematics Ph.D. student at the University of Illinois at UrbanaChampaign. 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 the Tsystem, the Qsystem, domino tiling of Aztec diamond 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.
Recently, I started exploring the realm of quantum computing and its applications to integrability problems. My hope is that quantum computing can help solving integrability and exactly solvability problems in statistical mechanics via simulating and revealing hidden combinatorial rules that are currently hard to find by classical computers. After all, a quantum computer is an integrable system itself (check out here).
Publication

Kosmas Diveris, Trung Vu, Matrix Square Roots of Polynomials, Pi Mu Epsilon Journal, 2018
Update
 April 2022: I am attending 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 1223, 2021: IBM Global Workshop in Quantum Machine Learning
 June 2125, 2021: 9th International Conference on Lattice Path Combinatorics & Applications