Recent technological developments now allow for the accurate, high resolution measurement of millions of human genomes. I will describe some of the challenges and opportunities of this postgenomic era, and...
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We define a generating series of algebraic cycles on the moduli stack of unitary Shtukas and conjecture that it is a Chow-group valued automorphic form. This is a function field...
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Solvers for the Boolean satisfiability (SAT) problem have been increasingly used to resolve problems in mathematics due to their excellent search algorithms. This talk will describe a new method for...
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Solvers for the Boolean satisfiability (SAT) problem have been increasingly used to resolve problems in mathematics due to their excellent search algorithms. This talk will describe a new method for...
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For any quantum system invariant under gauging a higher-form global symmetry, we construct a non-invertible topological defect by gauging in only half of spacetime. This generalizes the Kramers-Wannier duality line...
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Quantum computers exhibit a variety of exponential enhancements over classical computers for performing linear algebraic operations. This talk reviews quantum algorithms for algebraic topology: I show how the central problem...
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Let $M(\beta,\chi)$ be the moduli space of one-dimensional semi-stable sheaves on a del Pezzo surface $S$, supported on an ample curve class $\beta$ and with Euler-characteristic $\chi$. Working over a...
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We consider the moduli space of abelian varieties with two marked points and a frame of the relative de Rham cohomology with boundary at these points compatible with its mixed...
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*Note special day and time* I will talk about the integrability and chaos of 1+1d interacting chiral edge states, which may arise on the edge of 2+1d topological phases. We...
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*Note special day and time* In this talk we will discuss a method of anomaly resolution due to Wang-Wen-Witten in the special case of (1+1) dimensional theories. Briefly, for our...
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