What is the smallest genus h of a non-isotrivial curve over the generic genus g curve? In joint work with Daniel Litt, we show h is more than $\sqrt{g}$ by...
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Tropical intersection theory aims to create analogues of intersection-theoretic tools from algebraic geometry in a piecewise-linear setting. In this talk, I’ll describe a few aspects of tropical intersection theory and...
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Please see website for more details: www.math.harvard.edu/~ctm/sem.
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The advent of error-corrected quantum computers is anticipated to usher in a new era in computing, with Shor's algorithm poised to demonstrate practical quantum advantages in prime number factorization. However,...
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Suppressing errors is one of the central challenges for useful quantum computing, requiring quantum error correction for large-scale processing. However, the overhead in the realization of error-corrected “logical” qubits, where...
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An explicit understanding of the category of all (smooth, complex) representations of p-adic groups provides an important tool not just within representation theory. It also has applications to number theory...
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The derived category of moduli spaces of vector bundles on a curve is expected to be decomposed into the derived categories of symmetric products of the base curve. I will...
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The Cohen-Lenstra heuristic studies the distribution of the p-part of the class group of quadratic number fields for odd prime $p$. Gerth’s conjecture regards the distribution of the $2$-part of...
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We consider four-dimensional Euclidean gravity in a finite cavity. We point out that there exists a one-parameter family of boundary conditions, parameterized by a real constant, where a suitably Weyl-rescaled...
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Abstract TBA
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