Previous Conferences & Workshops

Consider a right angled cylinder. Glue the ends together after twisting many times to form a flat torus $C^1$-isometrically embedded in $R^3$. What can we say about the global geometry of this embedding?

In a $3$-$\mathsf{XOR}$ game $\mathcal{G}$, the verifier samples a challenge $(x,y,z)\sim \mu$ where $\mu$ is a probability distribution over $\Sigma\times\Gamma\times\Phi$,  and a map $t\colon \Sigma\times\Gamma\times\Phi\to\mathcal{A}$ for a...

The so-called Problem of Compact Quotients asks for which homogeneous spaces G/H there exists a discrete subgroup Gamma of G such that Gamma\G/H is a compact manifold. We will discuss this problem, and describe recent progress on it arising from...

A sparsification of a structure, with respect to a class of queries, produces a compressed representation of the structure while answering every query in the class approximately correctly. The seminal example of sparsification is "graph...

I will describe a problem of unlikely intersections in a product of modular curves, tracing the problem itself and the tools for some results through the work of Enrico.

Most effective results for integral points on affine curves use the works of Baker or Bombieri on Diophantine approximation by S-units. Still, no completely general result is known already in genus 2. I will briefly present some recent work with...