My research lies at the intersection of differential, algebraic and noncommutative geometry. I'm interested in topics that have close links with mathematical physics.
More precisely, I study Poisson varieties, and the noncommutative algebras obtained from them through the mysterious transcendental process of deformation quantization. In practice, this involves connections with several other topics, such as classical/derived algebraic geometry, D-modules, moduli spaces, the Stokes phenomenon and multiple zeta values.
For more details, see my publications.
I am involved in the development of a package for symbolic calculations with Poisson brackets and Kontsevich's deformation quantization formula. Please visit the public git repository for more information.
Before joining the faculty at McGill, I spent time at: