Quan Chen
Research Interests
Operator algebra, especially subfactor theory, II_1 factors and C*-algebras, (unitary/braided) tensor category, and low dimensional higher category theory.
Biography
I am a postdoc at Vanderbilt University starting in 2023 fall under the supervision of Dietmar Bisch.
I received my Ph.D. from the Ohio State University in 2023 spring under the supervision of David Penneys.
Previously, I completed my B.Math in 2017 from Zhejiang University, China.
I am originally from Hangzhou, China.
Here is a copy of my CV (last update: October 2022).
Publications/Preprints
K-theoretic classification of inductive limit actions of unitary fusion categories on AF-algebras (With Roberto Hernández Palomares and Corey Jones) Communications in Mathematical Physics, arXiv:2207.11854
A categorical Connes’ χ(M) (With Corey Jones and David Penneys) Mathematische Annalen, arXiv:2111.06378
Q-system completion is a 3-functor (With David Penneys) Theory and Applications of Categories, arXiv:2106.12437
Q-system completion for C* 2-categories (With Roberto Hernández Palomares, Corey Jones, and David Penneys) Journal of Functional Analysis, arXiv:2105.12010
Standard ⲗ-lattices, rigid C*-tensor categories, and (bi)modules, Documenta Mathematica, arXiv:2009.09273
Talks/Presentations
Gauging for categorical Connes' Chi(M), Subfactor Seminar, Vanderbilt University, September 1, 2023
Q-system completion and applications, Operator Algebra Seminar, East China Normal University, July 21, 2023
K-theoretic classification of inductive limit actions of fusion categories on AF-algebras, QTOT, BIMSA, July 13, 2023
A categorical Connes’ χ(M), NCGOA 2023, Vanderbilt University, May 8, 2023
A categorical Connes’ χ(M), JMM 2023, January 7, 2023
K-theoretic classification of inductive limit actions of fusion categories on AF-algebras, East Coast Operator Algebras Symposium, Michigan State University, October 22, 2022
Unitary braided tensor categories from operator algebras, Quantum Symmetry Seminar, BIMSA, Tsinghua University, October 12, 2022
Unitary braided tensor categories from operator algebras, Algebraic Geometry and Quantum Algebra Seminar, Rice University, September 21, 2022
K-theoretic classification of inductive limit actions of fusion categories on AF-algebras, Quantum Symmetry Seminar, The Ohio State University, July 26, 2022
A categorical Connes’ χ(M), Topological Quantum Groups, C*-Tensor Categories, and Subfactors Workshop, University of Waterloo, May 25, 2022
Q-system realization and applications, Subfactor Seminar, Vanderbilt University, April 15, 2022
Drinfeld center of monoidal 2-category and equivalent forms, Minimal nondegenerated extension learning seminar, The Ohio State University & Indiana University, July 6/13/27, 2021
Standard λ-lattice, tensor categories, and (bi)modules, IPAM ACT2021, January 27, 2021
Teaching
Vanderbilt University
Instructor, Differential Equations with Linear Algebra (Math 2400), Spring 2024
Teaching Assistant, Accelerated Single-Variable Calculus II (Math 1301), Fall 2023
Ohio State University
Teaching Assistant, Calculus II and Engineering Mathematics A (Math 1172), Spring 2022
Teaching Assistant, Calculus I (Math 1151), Fall 2019