We introduce refined unramified cohomology and prove some general comparison theorems to cycle groups. Our approach has several applications. For instance, it allows to construct the first example of a...
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In 1948 Hoeffding proposed a nonparametric test that detects dependence between two continuous random variables (X,Y), based on the ranking of n paired samples (Xi,Yi). The computation of this commonly-used...
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Lieb-Thirring inequalities are a mathematical expression of the uncertainty and exclusion principles in quantum mechanics. They were introduced by Lieb and Thirring in 1975 in their proof of stability of...
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On Monday, May 3rd the Harvard CMSA will be hosting a Computational Biology Symposium virtually on Zoom. Please visit the event webpage for the schedule and more information. The event poster...
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Speaker: Kenz Kallal (Harvard) Title: The Arthur–Selberg trace formula and some applications to arithmetic statistics Speaker: Lux Zhao (Harvard) Title: The history and mathematics of the axiom of choice Go here to...
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We are interested in the minimization problem of a functional in which the perimeter is competing with a nonlocal singular term comparable to a fractional perimeter, with volume constraint. We...
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We know that different systems with the same unbroken global symmetry can nevertheless be in distinct phases of matter. These different "symmetry-protected topological" phases are characterized by protected (gapless) surface...
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The Rogers-Ramanujan identity is an equality between a certain “q-series” (given as an infinite sum) and a certain modular form (given as an infinite product). Motivated by ideas from physics,...
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I will use Walker-Wang models to demonstrate the connection between 1-form symmetry-protected topological phases and topological measurement-based quantum computation. I will describe the classification of these phases in terms of...
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TITLE: Moment maps and the Yang-Mills functional ABSTRACT: In the early 1980s Michael Atiyah and Raoul Bott wrote two influential papers, ‘The Yang-Mills equations over Riemann surfaces’ and ‘The moment map and equivariant...
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