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
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