Brill-Noether theory answers the question of whether a general curve of genus $g$ admits $g^r_d$, a linear system of rank $r$ and degree $d$. A refined Brill-Noether theory hopes to...
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On Feb 27-March 1, 2023 the CMSA will host a Conference on Geometry and Statistics. For more information, please see: https://cmsa.fas.harvard.edu/event/geometry-and-statistics/
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In this talk, I will show my recent work on general inverse $\sigma_k$ equations and the deformed Hermitian—Yang—Mills equation (hereinafter the dHYM equation). First, I will show my recent results....
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Given a knot or link in the 3-sphere, its Murasugi signature is an integer-valued invariant which can easily be computed from a diagram. Work of Herald and Lin gives an...
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The purpose of this talk is to give an overview of a semi-global existence result and a trapped surface formation results in the context of the Einstein-Yang-Mills system. Adopting a...
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This seminar will take place in SC 507 at 3:30pm.
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This seminar will be held in Science Center 530 at 4:00pm on Wednesday, February 22nd. Please see the seminar page for more details: https://www.math.harvard.edu/~ctm/sem
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We show that if each edge of the complete bipartite graph K_{n,n} is given a random list of C(\log n) colors from [n], then with high probability, there is a...
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I will talk about my recent joint work with Aubert where we prove the local Langlands conjecture for G_2 (explicitly). This uses our earlier results on Hecke algebras attached to...
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