Department of Mathematics

Texas A&M University

**E-mail:** mbrannan(at)math.tamu.edu

**Office:** Room 502B Blocker Building

I am an Assistant Professor in the Department of Mathematics at Texas A&M University. Previously, I was a J.L. Doob Research Assistant Professor and an NSERC postdoctoral fellow in the Department of Mathematics at the University of Illinois at Urbana-Champaign. Before moving to Illinois, I studied in the Department of Mathematics and Statistics at Queen's University, Canada.

**Research Interests:** Operator algebras, representation theory, and functional analysis. In particular, my research focuses on quantum groups, free probability, non-commutative harmonic analysis, approximation properties for operator algebras, and connections between these fields. I also study applications of quantum groups and related symmetries to problems in quantum information theory.

**Links to my:**

**My Students and Postdocs**

- Li Gao (Postdoc, 2018-2021)
- Samuel Harris (Postdoc, 2019-2022)
- Priyanga Ganesan (Ph.D., ongoing since 2019)
- Kari Eifler (Ph.D., ongoing since 2018)
- John Weeks (Ph.D., ongoing since 2019)
- Xiaoyu Su (M.Sc. 2019)
- Tristan Pace (M.Sc. 2019)

**Some events of interest:**

**Some local seminars a Texas A&M**

- Linear Analysis Seminar
- Noncommutative Geometry Seminar
- Banach Spaces Seminar
- Algebra and Combinatorics Seminar
- Working Seminar on Quantum Groups
- Working Seminar on Quantum Information and Quantum Computation

**UPCOMING AND RECENT CONFERENCES THAT I (CO-)ORGANIZED:
**

- Topological Quantum Groups, C*-Tensor Categories, and Subfactors (Co-organized with Makoto Yamashita)
- Brazos Analysis Seminar (Regional conference series cofounded with Mehrdad Kalantar from U. Houston and Tao Mei from Baylor U.)
Oberwolfach Mini-Workshop: Operator Algebraic Quantum Groups

The 2nd IAMCS Workshop on Quantum Computation and Quantum Information

Free Probability - On the occasion of Roland Speicher's 60th birthday

- Probabilistic and Algebraic Methods in Quantum Information Theory