Tian Yang

Dr. Tian Yang is an Associate Professor in the Department of Mathematics at Texas A&M University, part of the College of Arts & Sciences. His research focuses on Quantum Topology, Hyperbolic Geometry, and Low-Dimensional Topology, with significant contributions to the study of quantum invariants, Turaev-Viro invariants, and geometric structures of 3-manifolds.

Education & Professional Background: While specific degree details are not explicitly provided, his academic trajectory is reflected through extensive involvement in global research collaborations and teaching roles at Texas A&M. He has taught specialized courses like Quantum Topology and Geometric Topology.

Research Interests: Dr. Yang’s work bridges algebraic and geometric topology, emphasizing:

• Quantum Invariants: Analysis of Turaev-Viro and Reshetikhin-Turaev invariants, their asymptotic behavior, and connections to hyperbolic volume.
• Hyperbolic Geometry: Investigations into hyperbolic polyhedral manifolds, cone metrics, and geometric rigidity.
• Topological Dynamics: Exploring surface diffeomorphism groups and their quantum invariant asymptotics.

Publications: His recent work includes groundbreaking studies on the Volume Conjecture, asymptotics of 6j-symbols, and geometric-topological applications of quantum field theory. Key papers appear in Advances in Mathematics, Journal of Differential Geometry, and Communications in Mathematical Physics.

Professional Engagement: He has delivered over 50 invited lectures globally, including at the International Congress of Basic Science (2025) and the Banff International Research Station. His research has been supported through collaborations with institutions like the Chern Institute of Mathematics and the Mathematical Sciences Center at Tsinghua University.

Teaching & Mentorship: While specific student advisees are not listed, his courses reflect advanced topics in topology and geometry. He has organized summer schools and workshops in China and the U.S., fostering global academic exchange.