Research interests

I'm interested in differential and algebraic geometry, and their connection with mathematical physics. My thesis work (advised by Marco Gualtieri) focuses on the geometry of holomorphic Poisson structures. In particular, I have been studying the singularities of Poisson structures on projective varieties, and have developed techniques for computing certain invariants.

Recently, I have also been interested in the geometry of meromorphic connections on Riemann surfaces and the (irregular) Riemann-Hilbert correspondence. Meromorphic connections show up in many interesting places in mathematics and physics, including Hodge theory for singular varieties and wall crossing formulae in string theory. Marco Gualtieri, Songhao Li and I have been studying these structures using techniques from the representation theory of Lie groupoids.

Useful links

Toronto Math Wiki

Portal

arXiv

Handy code

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