Research

I study enumerative geometry with techniques coming from algebraic and symplectic geometry. Lately I've been spending my time using localization formulae coming from symplectic geometry to compute quasimap invariants. In particular I'm working on proving Vafa-Intriligator type of formulae for quasimap invariants.

I'm also interested in some aspects of mirror symmetry like the mirror construction of Gross, Hacking and Keel for Log Calabi-Yau surfaces and the residue mirror symmetry conjecture of Kim, Oh, Ueda and Yoshida.

Publications

Some Remarks on the Operators' Formalism for Nonlocal Poisson Brackets, J. Math. Phys 61, 9 (2020).
Log Calabi-Yau surfaces and Jeffrey-Kirwan residues, with J. Stoppa (accepted for publication in Mathematical Proceedings of the Cambridge Philosophical Society).
Virtual invariants of critical loci in quotients of linear spaces, (preprint).

Mathematica code

Here is a pdf describing some Mathematica code to compute, via Jeffrey-Kirwan localization, the virtual invariants of critical loci inside quotients of linear spaces. For a quick introduction on how to use this, check the appendix here.

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