The study of topological band insulators has revealed fascinating phases characterized by band topology indices, harboring extraordinary boundary modes protected by anomalous symmetry actions. In strongly correlated systems, it has...
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In my talk, I will start by reviewing how various properties of characteristic zero singularities can be understood topologically by ways of the Riemann-Hilbert correspondence. After that, I will explain...
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Given a non-necessarily commutative ring with unit and an additive subcategory of the category of right modules, one can consider complexes of modules in the subcategory and the corresponding homotopy...
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Quantum UV-IR map (a.k.a. q-nonabelianization map), introduced by Neitzke and Yan, is a map from UV line defects in a 4d N=2 theory of class S to those of the...
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If a set of integers is syndetic (finitely many translates cover the integers), must it contain two integers whose ratio is a square? No one knows. In the broader context...
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Mathematics in Science: Perspectives and Prospects A showcase of mathematics in interaction with physics, computer science, biology, and beyond. October 27–28, 2023 Location: Harvard University Science Center Hall D & via...
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Thursday Seminar given by Cameron Krulewski on "The Ising model as a boundary field theory."
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The cell nucleus is enveloped by a complex membrane, whose wrinkling has been implicated in disease and cellular aging. The biophysical dynamics and spectral evolution of nuclear wrinkling during multicellular...
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We organize a number of analytic and combinatorial properties of Boolean functions into a hierarchy of equivalence classes in a similar style as quasi-random graphs, but depending on 'local' parameters....
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Please see website for more details: www.math.harvard.edu/~ctm/sem.
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