String theories feature a wide array of moduli spaces. We propose that the energy cutoff scale of these theories – the so-called species scale – can be determined through higher-curvature...
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A matrix M of real numbers is called totally positiveif every minor of $M$ is nonnegative. Gantmakher and Krein showedin 1937 that a Hankel matrix $H = (a_{i+j})_{i,j \ge 0}$of...
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The Ramsey number r_k(G, H) of two k-uniform hypergraphs G and H is the smallest n such that any edge-coloring of the complete k-uniform hypergraph on n vertices contains either...
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In this talk, I will introduce a new kind of measurement-based quantum computation inspired by Floquet codes. In this model, the quantum logical gates are implemented by short sequences of...
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We start with an introduction to Szpiro's conjecture and its equivalent formulation, the abc conjecture. Szpiro's goal in the 1980s was to prove the Mordell conjecture (effectively too!); it was soon observed...
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The theme of the Thursday Seminar this term is "topological aspects of quantum field theory." The first lecture will be a brief overview, followed by an introduction to topological...
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This talk is an elementary account of what is at first a surprising application of stable homotopy theory to theoretical physics. No specialized background is required; the storyline is the...
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The SL(3) web basis is a special basis of certain spaces of tensor invariants developed in the late 90's by Khovanov and Kuperberg as a tool for computing quantum link...
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The replica method, together with Parisi’s symmetry breaking mechanism, is an extremely powerful tool to compute the limiting free energy of virtually any mean field disordered system. Unfortunately, the tool...
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The class number formula describes the behavior of the Dedekind zeta function at $s=0$ and $s=1$. The Stark conjecture extends the class number formula, describing the behavior of Artin $L$-functions...
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