String Theory Group at YMSC

Yuze Ruan

Postdoctoral Fellow, Yau Mathematical Sciences Center, Tsinghua University

Basic Information

Email: yuzeruan (at) tsinghua.edu.cn
Office: Shuangqing Complex Building C743

Research Areas

Quantum algebra, subfactors, topological quantum field theory, modular tensor categories, and the relation between TQFT and CFT.

Education

2013-2017, B.S., Beihang University.
2017-2018, M.S., Texas A&M University.
2018-2021, Visiting Scholar, Vanderbilt University.
2022-2025, Ph.D., Tsinghua University.

Research Summary

Yuze Ruan works on quantum algebra, subfactor theory, and tensor categories related to topological quantum field theory. His recent representative work studies metaplectic categories, Witt classes of so(2r) theories, permutation gauging, Hecke-group representations from TQFT, and low-dimensional braid-group representations. These problems are tied together by the question of how algebraic data of modular tensor categories encode topological phases, braid statistics, and operations such as gauging or passage to Witt equivalence classes.

Representative Publications

P. Gustafson, E. C. Rowell, Y. Ruan, “Metaplectic categories, gauging and property F,” Tohoku Math. J. 72 (2020) 411-424.
E. C. Rowell, Y. Ruan, Y. Wang, “The Witt classes of so(2r)_2r,” Comm. Algebra 50 (2022) 5246-5265.
Y. Ruan, “Projective representations of Hecke groups from Topological quantum field theory,” J. Math. Phys. (2025), accepted.
Y. Ruan, Z. Liu, “On Z/2Z permutation gauging,” arXiv:2408.17195.
Y. Ruan, E. C. Rowell, “Low-dimensional indecomposable representations of the braid group B_3,” arXiv:2412.08558.