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
Project title: Quantum error correction, topological phases of matter, and representation theory.
Project Organizers: Michael Brannan, Andreas Klappenecker, Eric Rowell, Li Gao, Samuel Harris.
Description: Are you a TAMU undergraduate interested in mathematics, quantum physics, or computer science? Would you like to learn a bit about how areas of mathematics like representation theory, topology, and algebra can be used to solve problems in the rapidly developing field of quantum computation? If you answered `yes' to any of these questions, you might like to apply to participate in a Spring 2020 undergraduate opportunity in which students will learn the basics of the theory of quantum computation embark on cutting edge group research project in this field.
Prerequisites: A course in linear algebra is essential. Basic knowledge of quantum mechanics, topology, group theory, and real analysis will also be very useful, but not essential.
HOW TO APPLY: Please submit your resume (CV), unofficial transcript, and a short statement of interest by email to firstname.lastname@example.org by Friday, December 6, 2019. We expect to accept 3-4 students on this project. TAMU Undergraduates from under-represented groups are particularly encouraged to apply.
Course Credit: Students participating in this project will have the opportunity to earn Math 491 (Undergraduate Research) Credit for participating in this project. Tuition remission for the cost of enrolling in Math 491 may be available for qualified student participants.
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
UPCOMING AND RECENT CONFERENCES THAT I (CO-)ORGANIZED: