Let f be a rational map on P^1 defined over the rationals Q whose second iterate f^2 is not a polynomial. For x in Q, Silverman has shown that there...
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Thursday Seminar given by Sanath Devalapurkar on "Topological quantum field theories from finite homotopy types."
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In many mathematical scenarios, the conventional notion of strict equality doesn't hold. When we work with algebraic operations in such contexts, we need special notions to encode addition, multiplication, and...
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The amplituhedron is an object introduced by physicists in 2013 arising from their study of scattering amplitudes which has garnered much recent attention from physicists and mathematicians alike. Mathematically, it...
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Please see website for more details: www.math.harvard.edu/~ctm/sem.
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A dimer tiling of Z^d is a collection of edges such that every vertex is covered exactly once. In 2000, Cohn, Kenyon, and Propp showed that 2D dimer tilings satisfy...
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We prove results in the direction of showing that for some affine curves, Baker's method applied to finite étale covers is insufficient to determine the integral points.
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Large language models (LLMs) can memorize a massive amount of knowledge during pre-training, but can they effectively use this knowledge at inference time? In this work, we show several striking...
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Recent experiments have revealed evidence for fractional quantum anomalous Hall (FQAH) states at zero magnetic field in a growing number of moire materials. In this talk, I will argue that...
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Course decision-making is incredibly important for the unfolding of undergraduate pathways, yet consistently understudied. Using data from Harvard's Math Department and "Western University" another highly selective college, I will highlight...
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