Special Professor
Supervisor of Doctorate Candidates
Supervisor of Master's Candidates
My research area is higher Teichmüller theory, which is the crossroad of geometric topology (geometric structures), representation theory (representation of fundamental groups to Lie groups), algebra (cluster algebra), dynamical systems (Anosov flows), algebraic geometry (Higgs bundle), mathematical physics (topological quantum field theory, Spectral network) and many other branches of mathematics.
Current topics of interest:
1）Canonical bases, webs, skein algebras, cluster algebras,
2）Quantization and symplectic/topological invariants,
3）k-differentials and webs,
4）Mirror symmetry,
5）Witten-Kontsevich theorem and its posible generalization.
