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
3d prints and gifs of big skeletons, crystals and nerves: Zoo
Press release: The tip of the mathematical iceberg
Poster: Equivariant algebraic topology and geometric representation theory via fixed point schemes
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
Recent paper in Inventiones: Hausel, Hitchin: Very stable Higgs bundles, equivariant multiplicity and mirror symmetry
Recent paper by intern: Shon Ngo: GL(n)-structure and principal sl(2)-triple on the cohomology ring of complex Grassmannian
Recent research lecture: Hitchin map as spectrum of equivariant cohomology, Perimeter Institute
Recent popular lecture:
Magic Pictures about mirror symmetry for Langlands dual Higgs bundles, IST 4th year Colloquium
Recent research lecture:
Mirror symmetry for Langlands dual Higgs bundles at the tip of the nilpotent cone, WHCGP