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.
If you are an undergraduate at McGill who is interested in a summer research project in geometry, I welcome you to contact me by email, including a CV and transcript and telling me a bit about your interests. I am unfortunately not able to supervise everyone who approaches me, but anyone who contacts me at least 2 weeks in advance of the annual USRA/SURA deadline will receive full consideration.
I enjoy working with students who have a strong interest in geometry, particularly in connection with algebra and/or mathematical physics. I may have an opening for admission in Fall 2023, and welcome enquiries from interested students.
Students seeking a reference letter from me are encouraged to consult the advice available on the Department's resource page.
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.
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Before joining the faculty at McGill, I spent time at: