My research interests include:
Mapping class groups and Teichmuller dynamics.
Geometric group theory.
Superrigidity of lattices.
Dynamics in low dimensional topology .
Publications:
Cocycle superrigidity for median spaces of finite rank.(with Mohamed Lamine Messaci ) 2026, Journal of Functional Analysis.
Boundary representations of mapping class groups. Commentarii Mathematici Helvetici vol.101(2025) No. 3 pp. 447–486.
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:
Dynamics of subgroups of mapping class groups. (with Ilya Gekhtman) [arXiv ] ,accepted by ETDS.
Construction of Anosov flows on fibered hyperbolic 3-manifolds. (with François Béguin, Christian Bonatti and Bin Yu ) [arXiv], submitted.
Taut polynomials from finite quotients for fibered hyperbolic 3-manifolds.( with Tam Cheetham-West, Jun Ueki and Youheng Yao).[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.)