Previous Conferences & Workshops

We prove that the systole (or more generally, any k-th homology systole) of a minimal surface in an ambient three manifold of positive Ricci curvature tends to zero as the genus of the minimal surfaces becomes unbounded. This is joint work with Anna...

We shall present a procedure which to any admissible family of immersions of surfaces into an arbitrary closed riemannian manifolds assigns a smooth, possibly branched, minimal surface whose area is equal to the width of the corresponding minmax and...

Given an arbitrary graph, we show that if we are allowed to modify (say) 1% of the edges then it is possible to obtain a much smaller regular partition than in Szemeredi's original proof of the regularity lemma. Moreover, we show that it is...

In this survey talk, I will review the known constructions of mathematical theories of gauged sigma model and its relations with Gromov--Witten theory and FJRW theory. I will emphasize the analytic side, but will also mention related algebraic...

We show that every complete Riemannian manifold of finite volume contains a complete embedded minimal hypersurface of finite volume. This is a joint work with Gregory Chambers.

In this talk, I will give an overview on how PCPs, combined with cryptographic tools, are used to generate succinct and efficiently verifiable proofs for the correctness of computations. I will focus on constructing (computationally sound) *succinct...

A celebrated theorem of C.L. Siegel from 1929 shows that the multiplicity of eigenvalues for the Laplace eigenfunctions on the unit disk is at most two. More precisely, Siegel shows that positive zeros of Bessel functions are transcendental.

We...