Generative models have attracted intense interests recently. In this talk, I will discuss one class of generative models, Generative Adversarial Networks (GANs). I will first provide a gentle review of...
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Abstract TBA The Math Picture Language seminar will be held at 9:30 a.m. Boston time. Click the link for a Zoom Link for Tuesday Math Picture Language Seminars. Recorded seminars can be viewed...
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In this talk I will give an overview of some recent work, joint with Samuel Grushevsky, Klaus Hulek, and Radu Laza, on the geometry and topology of compactifications of the...
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Equilibrium measures of compact sets in two dimensions are a generalization of equilibrium charge distributions on perfect conductors. Using equilibrium measures, we can compute the capacity of a compact set: the...
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Algebraic geometers study algebraic varieties, and the maps between them. A basic question is whether there can be any non-constant maps between two (smooth, projective) varieties of different type. I...
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Given a fixed angle alpha and growing dimension n, what is the maximum number of lines in n dimensions, all pairs of which meet at the same angle alpha? In...
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The classification of shapes is one of the central pursuits of geometry. In this talk, we will begin with the problem of classifying triangles and see how it leads naturally...
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My thesis develops the theory of hyperbolic manifolds and explains two proofs of the foundational Mostow rigidity theorem. Great math theorems bridge fields, enabling us to transfer tools from one...
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Fracton order describes novel quantum phases of matter that host quasiparticles with restricted mobility, and thus lies beyond the existing paradigm of topological order. In particular, excitations that cannot move...
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We consider the algebraic curves obtained by marking a cycle of fixed period p in the space of quadratic polynomials. For each period, we produce a cell decomposition, whose combinatorics...
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