Previous Conferences & Workshops

Minimal surfaces are critical points of the area functional. In this talk I will discuss classification results for minimal surfaces with index one in 3-manifolds with non-negative Ricci curvature and outline the proof that in spherical space forms...

The lecture will discuss recent joint work with C. Bellettini and O. Chodosh. The work taken together establishes sharp regularity conclusions, compactness and curvature estimates for any family of codimension 1 integral $n$-varifolds satisfying: (i...

In their seminal works from the 80's, Lubotzky, Phillips and Sarnak proved the following two results: (i) An explicit construction of Ramanujan regular graphs. (ii) An explicit method of placing points on the sphere uniformly equidistributed. These...

We consider the problem of bounding the sup-norm of $L^2$-normalised Hecke-Laplace eigenforms $\phi_j$ on $S^3$. Along the way, we overcome the difficulty of possibly small eigenvalues in the Iwaniec-Sarnak amplifier by taking a whole space of...

Motivated by questions in computer science, we consider the problem of approximating local points (real or p-adic points) on the unit sphere S^d optimally by the projection of the integral points lying on R*S^d, where R^2 is an integer. We present...

I would like to discuss three topics concerning applications of holomorphic curve methods to the planar circular restricted three-body problem. The first is the existence of direct orbits and a conjecture due to Birkhoff. The second is the use of...

Renormalized volume (and more generally W-volume) is a geometric quantity found by volume regularization. In this talk I'll describe its properties for hyperbolic 3-manifolds, as well as discuss techniques to prove optimality results.