Research
My research interests include:
Mapping class groups and Teichmuller dynamics.
Lattices and invariant random subgroups.
Counting problems come from geometry.
Publications:
On a family of unitary representations of mapping class groups. Groups Geom. Dyn. 15 (2021) no.4, 1399-1420, [arXiv]
Applications of shuffle product to restricted decomposition formulas for multiple zeta values.(with Li Guo and Peng Lei) J.Number Theory 144 (2014),219-233 [arXiv]
Preprints:
Boundary representations of mapping class groups. [arXiv]
Dynamics of subgroups of mapping class groups. (with Ilya Gekhtman) [arXiv ]
Expository:
Quasimorphisms on Negatively Curved Groups. Proceedings of the International Young Seminars on Bounded Cohomology and Simplicial Volume, Chapter 8, London Mathematical Society Lecture Notes Series.
Représentations unitaires des groupes modulaires [thesis ]
(CAUTION: the second part contains few gaps but they have been fixed now in the corresponding paper above.)