My reserach is on differential geometry and dynamical system. I am interested in classical Teichmuller Thurston theory and its generalization in different settings, including representation varieties and variable negatively curved manifolds. In the past, I studied generalization of Weil-Petersson metrics and Thurston's asymmetric metrics in these settings. These also lead to my current interests in Lipschitz maps, thermodynamics formalism, weak KAM theory and many other things.
Maximal stretch and Lipschitz maps on Riemannian manifolds of negative curvature, with Gerhard Knieper. arxiv.
Geodesic Coordinates for the Pressure Metric at the Fuchsian Locus. Geometry & Topology. PDF.
Correlation of the Renormalized Hilbert Length for Convex Projective surfaces, with Giuseppe Martone. Ergodic Theory Dynam. Systems. PDF.
Thurston's asymmetric metric for Anosov representations, with León Carvajales, Beatrice Pozzetti and Anna Wienhard. Groups Geometry Dynamics. PDF.
The covariant metric for the Blaschke locus, with Nikolas Eptaminitakis. J. Geom. Anal. PDF.
Lusztig's Total Positivity, in Proceedings of the Young Researchers Workshop on Positivity in Lie Groups, 2022.
Summer School on Dynamics and geometry in dimension 1, 2 and 3, CIRM, France, June 2--6, 2025 (talk about Thurston's metric and Mather sets for variable negatively curved manifolds)
Workshop: Higher rank geometric structures, Higgs bundles and physics, Institut Henri Poincaré, France, May 19--27, 2025 (talk about Thurston's metric and Mather sets for variable negatively curved manifolds)
International Workshop on Higher Teichmüller theory, Tianjin, China, May 20-24, 2024 (talk about Thurston's Finsler metrics in higher Teichmuller spaces and stretch maps)
Geometry seminar Max Planck Insitute Leipzig, March 19, 2024 (talk about Lipschitz maps and maximal stretched measures in negatively curved manifolds)
Higgs bundles, character varieties and higher Teichmüller spaces, Madrid, Spain, May 22 - May 26, 2023. (talk about Riemannian metrics and Finsler metrics in higher Teichmuller spaces)
Joint Seminar on Teichmuller theory and Related topics, online zoom seminar, China, March 21, 2023. (talk about Riemannian metrics and Finsler metrics in higher Teichmuller spaces)
Workshop in symmetric spaces and Labourie's conjecture, l'Escandille, Autrans, France, August 22 - August 27, 2022. (talk about Labourie's work on cyclic surfaces)
Geometry structures, compaticifications and group actions, Strasbourg, June 27 - July 1, 2022. (short talk about Thurston's stretch metric on higher Teichmüller spaces.)
Oberseminar Differentialgeometrie. University of bonn, May 12, 2022. (talk about the correlation theorem)
Fifth Meeting for Young Women in Mathematics, University of Freiburg, April 6-8, 2022. (talk about the pressure metric in the space of Riemannian metrics)
Seminar&Colloquia, Feb 25, 2022, Shanghai Jiao Tong University, China, zoom talk . (talk about the pressure metric in the space of Riemannian metrics)
Online research seminar: Algebra, Geometry & Physics, Jan 25, 2022, MPIM/HU, Germany. (talk about the pressure metric in the space of Riemannian metrics)
Positivity Workshop, Jan 10 - Jan 15, 2021, Heidelberg, Germany. (talk about Lusztig's total positivity)
Oberwolfach Mini-Workshop Anosov^3, Dec 5- Dec 10, 2021, Oberwolfach, Germany. (talk about the pressure metric in the space of Riemannian metrics)
Geometry and topology seminar, Oct 14, 2021, Université Côte d'Azur, France. (talk about correlation theorem)
Workshop on Anosov Representations, Aug 29 - Sep 4, 2021 Aussois, France. (talk about pressure metrics)
UCR Differential Geometry seminar, April 2, 2021, zoom talk. (talk about correlation theorem)
Connections for Women: Holomorphic Differentials in Mathematics and Physics, Aug 15 -16, 2019, MSRI, CA. (talk about my thesis work)
Workshop on Geometric aspects of Higgs bundles, May 11-18, 2019, Sunriver, Oregon. (talk about analytic aspects of convex real projective structures)
The Gradute Student Topology and Geometry Conference, March 30-31, 2019, UIUC. (talk about my thesis work)
Gear log cabin workshop for Relative character varieties and parabolic Higgs bundles, Feb 23-Mar 3, 2018, CA. (talk about cubic differentials and convex projective structures with boundary)
the Nearly Carbon Neutral Goemtric Topology Conference, online, June 14--25, 2021.Nearly Carbon Neutral Geometric Topology Conference
Winter School Côte d'Azur, Université Côte d'Azur, Nice, January 9-17, 2025.