Previous Conferences & Workshops

Abstract: I will discuss work in progress with M. Orr (Manchester) and G. Papas (Weizmann) on the Zilber-Pink conjecture for $Y(1)^3$. This is known for so-called asymmetric curves by the 2012 work of Habegger-Pila. More recently, an approach known...

Abstract: We will survey various recent results around the distribution of the Hodge locus of a (mixed) variation of Hodge structures. Various concrete applications to moduli spaces will also be presented.

Abstract: We prove that an algebraic flat connection has $ {\mathbb R}_{\rm{ an, \  exp}}$-definable flat sections if and only if it is regular singular with unitary monodromy eigenvalues at infinity, refining previous work of Bakker–Mullane. This...

In this talk, I will begin with a quick primer to parameterized complexity, present some key insights from recent hardness of approximation results in the area, and end with a proof sketch of the following result: Assuming the Exponential Time...

Abstract: I’ll describe recent work for approaching certain functional transcendence problems through a combination of model theory and differential Galois theory. This is based on joint work with Blazquez-Sanz, Casale, and Nagloo.

The classical limit of the global geometric Langlands correspondence is a conjectural Fourier-Mukai equivalence between the Hitchin fibrations for a reductive group G and its dual. This "global" statement can sometimes be approached by global tools...

Abstract: Let $k$ be a field and $X$ a geometrically connected variety over $k$. The Tate or degeneracy locus of a $l$-adic local system on $X$ is the etale counterpart of the Hodge locus of a VHS. While in the last decade tremendous progresses have...

Abstract: The cohomology of a family of algebraic varieties carries a number of interrelated structures, of both Hodge-theoretic and arithmetic flavors. I’ll explain joint work with Josh Lam developing analogues of some of these structures and...

In 1984 W. B. Johnson and J. Lindenstrauss showed that a random projection of an arbitrary point set S into low-dimensional space is approximately distance-preserving, as long as S is of size at most exponential in the target dimension. The...