Video Lectures

I will talk about a joint work with Antoine Sedillot. We study sup-norms of sections of metrized line bundles for families of arithmetic varieties. Using Riemann-Zariski spaces we obtain formulas that imply new definability results in the context of...

Numerical simulations of galaxies and the interstellar medium are now reaching resolutions where small-scale physical processes can be resolved directly. This raises a natural question: which pieces of microphysics must be modeled explicitly in...

 Constructing completions of period mappings with significant geometric and Hodge-theoretical meaning is an important topic in Hodge theory and its applications. There are rich theories for the classical case in which the period domain is Hermitian...

The anabelian phenomenon may be viewed as an arithmetic analogue of Mostow rigidity: it predicts that certain varieties can be reconstructed from their arithmetic fundamental groups. A celebrated result of S. Mochizuki shows that hyperbolic curves...

Given a family X→S, one may consider the corresponding fiber-wise (quasi-) period integrals as (multi)-functions on S. Built out of these using a flag variety, one obtains variation of (mixed) hodge structures giving period map S→D/Γ. We study the...

I'll start by discussing some work with Binyamini, Schmidt, and Thomas in which we prove a uniform Manin-Mumford result for products of CM elliptic curves. I'll show how we apply this to obtain an effective Andre-Oort result for fibre powers of the...

We study a non-commutative counterpart Cn(X) of the symmetric product SymnX of a space X, defined as the space of nxn-matrix valued points on X. Our main result will be a precise formula for the cohomology of this space in great generality, but we...

In 2019, Dimitrov proved the Schinzel-Zassenhaus Conjecture. Harry Schmidt and I extended his general strategy to cover some dynamical variants of this conjecture. One common tool in both results is Dubinin's Theorem on the transfinite diameter of...

Since Langlands's earliest paper on his now famous program, canonical integral models of Shimura varieties have occupied a central role in modern number theory. Steady progress has been made in the intervening 50 years toward the correct formulation...

In this lecture, Juliet B. Schor will consider dominant social science perspectives on labor platforms, the role of algorithmic management, and whether platform work can fulfill its early promises.

Schor is an economist and Professor of Sociology at...