Research Interests:
Hyperbolic geometry
Anti-de Sitter geometry
Dynamics of geodesic flow
Dynamics of group action
Geometry of mapping class group and Out(Fn)
(Higher) Teichmüller theory
Quantum Teichmüller theory
Publications:
Thurston’s Metric on the Teichmüller Space of Flat Tori, In: Ohshika, K., Papadopoulos, A. (eds) In the Tradition of Thurston III. Springer, Cham. (2024)
Bowditch’s Q-conditions and Minsky’s primitive stability, joint with Jaejeong Lee, Transactions of the American Mathematical Society 373 (2020), 1265-1305
Incompleteness of pressure metric on Teichmüller space of a bordered surface, Ergodic Theory and Dynamical Systems, Vol 39, Issue 6, (2019), 1710-1728
Central extension of mapping class group via Checkhov-Fock quantization, Journal of Geometry and Physics, Vol 110, (2016), 9-24
Preprints:
Ordering curves on surfaces, joint with Hugo Parlier and Hanh Vo, arXiv: 2506.06481
A topological viewpoint on curves via intersection, joint with Hugo Parlier, arXiv: 2308.13880
Carrier graphs for representations of the rank two free group into isometries of hyperbolic three space, joint with Ser Peow Tan, arXiv 1807.07277
On the Ambatzumian-Pleijel identity in hyperbolic geometry, arXiv: 1410.4052
Conference organization:
(with Hugo Parlier) Workshop of ANR-FNR SoS: Lost in Translation Surfaces, Luxembourg, Jan. 29-31, 2020
Seminar organization:
I organized Geometry and Topology Seminar (with Alan McLeay), Internal Seminar and Reading Seminar in the Research Cluster in Low-dimensional Geometry and Topology at the University of Luxembourg.