Wren library, Cambridge
Wren library, Cambridge
My research interest is in the intersection between Symplectic Topology, Geometric Representation Theory and Algebraic Geometry
I am interested in the symplectic and algebraic geometry of Higgs moduli spaces, in particular, connections to mirror symmetry.
In addition, I am interested in the symplectic topology of Conical Symplectic Resolutions, such are Quiver Varieties and Slodowy varieties, and via the latter, the connections to Springer theory.
Exact Lagrangians from contracting ℂ*-actions, arXiv:2206.06361, 46pp, 2022. Under revision.
Filtrations on quantum cohomology from the Floer theory of ℂ*-actions (with A. Ritter), arXiv:2304.13026, 72pp, 2023. Submitted.
Filtrations on quantum cohomology via Morse-Bott-Floer Spectral Sequences (with A. Ritter), arXiv:2304.14384, 90pp, 2023. Submitted.
Floer-theoretic filtration on Painlevé Hitchin systems (with S. Szabó), arXiv:2405.14850, 22pp, 2024. Submitted.
Filtrations on equivariant quantum cohomology and Hilbert-Poincaré series (with A. Ritter), arXiv:2410.17237, 75pp, 2024.
Quantum cohomology and Floer invariants of semiprojective toric varieties (with A. Ritter), arXiv:2501.09011, 38pp, 2025.
Upward flows and mirror symmetry for Hilbert schemes (with A. Minets), work in progress, 2025.
Crystal operators and exact Lagrangians in Slodowy slices, work in preparation.