Previous Conferences & Workshops

Given linear equations over a finite field and under infinity norm, the Short-Integer-Solution (SIS^inf) problem asks to find a solution where each entry is a small number.

In 2021, Chen, Liu, and Zhandry presented an efficient quantum algorithm for...

By an observation of Efimov and Scholze, Efimov's theorem on the rigidity of localizing motives allows one to construct refinements of topological Hochschild homology and its variants. In this talk, I'll explain how this refinement works, sketch an...

The SAT (Boolean Satisfiability) problem asks whether a given logical formula on $n$ Boolean variables has an assignment of true/false values to its variables that makes the formula true.  The P vs NP question is equivalent to asking whether SAT has...

Matrix-perturbation bounds quantify how the spectral characteristics of a baseline matrix A change under additive noise E. Classical results, including Weyl’s inequality for eigenvalues and the Davis–Kahan theorem for eigenvectors and eigenspaces...

In this talk, we continue to discuss the intersection of modular correspondences but on the self-product of two Shimura curves. This is partially motivated by a classical work of Kudla-Rapoport for the single Shimura curve case and by the self...

In this talk, I will discuss some effective computations for variations of integral Hodge structures.

Several years ago, with Ren and Javanpeykar-Kühne, I conjectured (in the Shimura setting) that a variation has only finitely many "non-factor"...

A Hodge structure is a certain linear algebraic datum.  Importantly, the cohomology groups of any smooth projective algebraic variety come equipped with Hodge structures which encode the integrals of algebraic differential forms over topological...

The theory of rigidity for lattices in higher rank semisimple Lie groups is a powerful and exciting subject, combining methods from algebra, number theory, geometry and dynamics. One of the most celebrated results is Margulis' normal subgroup...