A mixed subdivision is a generalization of zonotope tiling that applies to any Minkowski sums of polytopes. (Fine) mixed subdivisions of dilated simplices have received particular attention in recent years...
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Two fundamental facts about the moduli space M_g of smooth curves of genus g are what are called Harer's theorems: that the Picard group of M_g is of rank one,...
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Euclidean black hole 1-loop determinants have recently been shown to compute a renormalized thermal canonical partition function for free fields in Lorentzian signature. A key ingredient is a 'quasinormal mode...
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I will introduce some tools from the field of machine learning and discuss how they can be leveraged to get a fresh perspective on economics. Friday, May 7th at 12pm,...
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Four-dimensional conformal field theories with sufficient (N = 2) supersymmetry are highly constrained. So much so, there has been an ongoing effort to classify them using only information about their...
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Two-dimensional conformal field theory is a powerful tool to understand the geometry of surfaces. Liouville conformal field theory in the classical (large central charge) limit encodes the geometry of the...
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I will discuss the following result and its complex analog: For every nonzero polynomial P∈ R[x_1,…, x_n] of degree n, there is a point of the unit ball in R^d...
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Hilbert’s Nullstellensatz says that the complex numbers C satisfy a universal property among all R-algebras: every not-too-large nonzero commutative R-algebra maps to C. Deligne proved a similar statement in categorical...
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I will start with a brief overview of gauge theory phases in 3+1 dimensions through the lens of higher symmetries — in particular the realization of 1-form symmetries acting on...
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We study non-invertible topological symmetry operators in massive quantum field theories in (1+1) dimensions. In phases where this symmetry is spontaneously broken we show that the particle spectrum often has...
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