Trung Vu

University of Illinois at Urbana-Champaign

My name is Trung Vu. I am currently a second-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 the T-system, the Q-system, 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).

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Publication

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

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