Topological Quantum Field Theory, Representation Theory and Mathematical Physics

Courses

• Invariants of knots and Quantum groups, Fall 2021 This is the site of the class that I was teaching in the Fall 2021 at the Yau Mathematical Science Center (YMSC) at Tsinghua University.
• Quantum groups and invariants of 3-manifolds This is the course that I am teaching in the Spring 2022 at YMSC at Tsinghua University.
• Mathematical aspects of classical and quantum mechanics. This is an online course that I will be teaching in the Spring 2022.
• Superintegrability. References and a talk at BIMSA.
• Hamiltonian Mechanics and Semiclassical Quantum Mechanics. This is a course that I taught at the University of Amsterdam for master student in June 2022.
• Dimer models in statistical mechanics. This is a mini-course at the Summer School at Sanya (Hainan), August 2022.
• Conformal Field Theory. This is a series of lectures for mathematics graduate and master students interested in physics and for mathematically minded physics graduate and master students. The course is also at the level of advanced undergraduate students.

Research

• Superintegrability. References and a talk at BIMSA.