Wren library, Cambridge
Wren library, Cambridge
My research interest is in the intersection between Symplectic Topology, Algebraic Geometry, and Geometric Representation Theory
At the moment, I work on symplectic and algebraic-geometric invariants of Higgs moduli spaces and their interplay.
In addition, I am interested in the symplectic topology of Conical Symplectic Resolutions, such as Quiver Varieties and Slodowy varieties, and via the latter, the connections to Springer theory.
(2022) Exact Lagrangians from contracting ℂ*-actions, arXiv:2206.06361, 46pp, Under revision.
(2023) Filtrations on quantum cohomology from the Floer theory of ℂ*-actions (with A. Ritter), arXiv:2304.13026, 72pp, Submitted.
(2023) Filtrations on quantum cohomology via Morse-Bott-Floer Spectral Sequences (with A. Ritter), arXiv:2304.14384, 90pp, Submitted.
(2024) Floer-theoretic filtration on Painlevé Hitchin systems (with S. Szabó), arXiv:2405.14850, 22pp, Submitted.
(2024) Filtrations on equivariant quantum cohomology and Hilbert-Poincaré series (with A. Ritter), arXiv:2410.17237, 75pp
(2025) Quantum cohomology and Floer invariants of semiprojective toric varieties (with A. Ritter), arXiv:2501.09011, 38pp
(2026) Equivariant multiplicities and mirror symmetry for Hilbert schemes (with A. Minets), arXiv:2602.14897, 44pp, Submitted.
(2026) Perverse filtration on Hilbert schemes via upward flow, arXiv:2606.06449, 21pp, Submitted.
(2026) Equivariant Floer rotation maps and filtration invariants (with A. Ritter), to appear soon
(2026) Floer-theoretic filtration for Hilbert schemes of points (with A. Minets), to appear soon.