Research
Our research interests include combinatorial, differential and algebraic geometry and topology. We use representation theory to connect with number theory and physics. More details here
Open positions in the group: Open Positions
3d prints and gifs of big skeletons, crystals and nerves: Zoo
ERC advanced grant 2026-2031: Representation theory, equivariant topology and Langlands duality via fixed point schemes
Press release 2025: A three-way dictionary for math
Press release 2024: Big algebras: a dictionary of abstract math
Press release 2022: The tip of the mathematical iceberg
Poster 2022: Equivariant algebraic topology and geometric representation theory via fixed point schemes
FWF standalone grant 2022-2025: Geometry of the tip of the global nilpotent cone
Video of talk ICM 2022: Enhanced mirror symmetry for Langlands dual Hitchin systems
Video of talk at ICMP 2021: Explicit Hitchin system on Lagrangians
Paper into ICM 2022 Proceedings: Enhanced mirror symmetry for Langlands dual Hitchin systems
Paper in Inventiones 2022: Hausel, Hitchin: Very stable Higgs bundles, equivariant multiplicity and mirror symmetry
Paper by intern 2021: Shon Ngo: GL(n)-structure and principal sl(2)-triple on the cohomology ring of complex Grassmannian
2021 research lecture: Hitchin map as spectrum of equivariant cohomology, Perimeter Institute
Popular lecture 2021:
Magic Pictures about mirror symmetry for Langlands dual Higgs bundles, IST 4th year Colloquium
Research lecture 2021:
Mirror symmetry for Langlands dual Higgs bundles at the tip of the nilpotent cone, WHCGP
Poster 2019: Hausel Group: Geometry and Its Interfaces