Differential Geometry, Geometric Topology, Geometry of Surfaces.
Higher Teichmüller-Thurston Theory, Higgs Bundles, Geometric Structures, Character Varieties.
Teichmüller-Thurston Theory, Hyperbolic Geometry.
I am organizing the Columbia Geometric Topology Seminar.
Conferences I organized
Upcoming! GTiNY - Geometric Topology in New York, Department of Mathematics, Columbia University, New York, June 2nd-4th, 2023.
Upcoming! International Workshop on Higher Teichmüller Theory, Chern Institute of Mathematics, Nankai University, Tianjin, China, postponed due to the pandemic.
40. Süddeutsches Kolloquium über Differentialgeometrie,
Heidelberg, June 29-30, 2018.
Conference: Geometric Structures and Representation Varieties,
Heidelberg, February 19-22, 2018.
Conference: Asymptotic geometry of groups and spaces,
Heidelberg, February 20-23, 2017.
Hengstberger Symposium: Higher Teichmüller theory and Higgs bundles: Interactions and new trends, Heidelberg, November 2-6, 2015
My grad studentsJohannes Horn (defended, 2020)
Eugen Rogozinnikov (defended, 2020)
Christoph Karg (defended, 2020)