Past Events

John Pardon has recently proved the Gromov-Witten Donaldson-Thomas correspondence using a new homology/cohomology machinery for 1-cycles in 3-folds. We study a much simplified version, namely for 0-cycles (points) in curves. In this case the theory...

Roughly speaking, outbreaks of respiratory infections, such as measles, CoViD-19, and influenza, are shaped by two main factors: (1) the patterns and nature of contacts between individual hosts, and (2) the distribution of immunity locally and...

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We investigate the sums of reciprocals to an arithmetic progression taken modulo one, that is sums of fractional parts 1/{na−y}, where a,y are real parameters. Such upper bounds are known in the literature, with many applications in number theory...

A classical problem in combinatorial geometry, posed by Erd\H{o}s in 1946, asks to determine the maximum number of unit segments in a set of $n$ points in the plane. Since then a great variety of extremal problems in finite point sets have been...

In this talk, we study cut-generating functions in the setting of the Gomory-Johnson group relaxations for integer programming. We address an open question: whether every facet (extreme function) for a finite cyclic group relaxation injects into the...

Iteration has revealed mathematical structure for millennia—from ancient Babylonian root-finding techniques to the intricate fractals developed by Fatou and Julia during the First World War. Yet many mysteries remain. One such puzzle centers on...

Toric topology assigns to each simplicial complex K a space with a torus action, called the moment-angle complex, which is defined as a polyhedral product or (homotopy) colimit over the face category of K. These spaces play a universal role in toric...

Random fluctuations in environmental conditions (environmental stochasticity) are thought to increase population extinction risk. But as gamblers, politicians, and sports teams know, even bad risks become good risks when you are facing imminent...

Cells constantly reorganize the actin cytoskeleton to break symmetry, align with neighbors, and push their edges forward. There is a lot of quantitative data on these processes, but turning such data into testable mechanistic models remains a...