Past Events

If X is a smooth complete variety, then the alternating sums of dimensions of sheaf cohomology groups gives an additive map from the Grothendieck group of vector bundles on X to the integers. If X is not complete, then sheaf cohomology groups are...

Pollution is a pervasive environmental stressor that affects biological systems across multiple levels of organization, from cellular processes to individual behavior and population dynamics. While numerous empirical studies document these effects...

Understanding how network structure gives rise to spatiotemporal dynamics and computation is a central challenge in computational neuroscience and artificial intelligence. Despite increasingly detailed connectomic data in neuroscience and large-scale...

A connection on a vector bundle is data which tells us how to lift a curve from the base space to the total space. In this talk, we introduce a generalization of them known as "formal connections," and explain how they offer us a way to model the...

To compute the quantum dynamics of a molecule's electrons, one tractable way to proceed is via time-dependent density functional theory (TDDFT). TDDFT gives equations of motion that, in principle, yield the same electron density as the full but...

Abstract TBA

A brief introduction to information theory

In arithmetic geometry, local-to-global principles capture the ways in which one approaches difficult "global" questions over number fields by studying their "local" analogues over $p$-adic fields. These principles often fail for questions about the...

A Latin square of order $n$ is an $n\times n$ grid of $n$ symbols each appearing exactly once in every row and column. If we decompose Latin squares by symbol, we can express them as sums of permutation matrices equalling a constant matrix. In this...

Every quantitative strategy has a lifecycle. It gets discovered, deployed, crowded, and eventually either dies or evolves. These phases are only obvious in hindsight. Living through them, you never know which one you're in. This talk replays the...