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, Quantum Information Theory (QIT), Representation Theory, and Quantum Algebra. I am particularly interested in studying interactions between these fields. My current major focus is on the use of tools from QIT to gain insight into various problems in pure mathematics, and conversely, the use of tools from representation theory, operator algebra, and quantum algebra to shed new light on problems arising in QIT.

**Current Teaching:** Math 304 - Linear Algebra

**Links to my:**

**UNDERGRADUATE RESEARCH OPPORTUNITY, SPRING 2020**

The organizers gratefully acknowledge support for this project from a Texas A&M University Triads for Transformation (T3) Grant.

**Brannan Research Group** (Current/former 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)
- Ting Lu (Ph.D., ongoing since 2020)
- John Weeks (Ph.D., ongoing since 2019)
- Xiaoyu Su (M.Sc. 2019. Current: Ph.D. at TAMU Math)
- Tristan Pace (M.Sc. 2019. Current: Ph.D. at UT Austin Math)
- Noah Fournier (Undergraduate researcher 2020. Current: M.Phil. Oxford Math)
- Daniel Kimble (Undergraduate researcher 2020)
- Braden Yosko (Undergraduate researcher 2020)
- Josiah Blaisdell (Undergraduate researcher 2017. Current: Ph.D. at Oregon State Computer Science)
- Nathan Mehlhop(Undergraduate researcher 2018. Current: Ph.D. at Rutgers Math)
- William Ogletree (Undergraduate researcher 2018)

**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