Upcoming Events

Abstract: We consider solutions to the wave equation in $\mathbb{R}^{n+1}$ with coefficients that are $C^{1,1}$ functions of space and time. We work with Hardy spaces of functions adapted to Fourier integral operators recently introduced by the speaker with Portal and Rozendaal. These are…

We construct exact triangles in involutive Heegaard Floer homology, and also prove a mapping cone formula, refining Ozsvath and Szabo's mapping cone formula for ordinary Heegaard Floer homology. We describe an application to the structure of the homology cobordism group. This is joint work in…

Or: "Gauge Theory: Part 3". Or: "How Dirac unified electromagnetism and quantum mechanics and cracked the case wide open."

I report here on joint work with Jean-Michel Roquejoffre and Luca Rossi.
Epidemics of the past have been known to follow communication lines. Some recent observations report similar patterns for the Covid-19 propagation in Italy. In this talk, I will present a reaction-diffusion model to…

When considering pseudoholomorphic curves, we often assume things about an almost complex structure to guarantee that some moduli space is nice. If we need to deal with moduli spaces which are not nice, we can sometimes reduce the problem to the study of sections of an obstruction  bundle. I'll…

A general polarized hyperelliptic K3 surfaces of degree 4 is a double cover of P^1 x P^1  branched along a bidegree (4,4) curve. Classically there are two compactifications of their moduli spaces: one is the GIT quotient of (4,4) curves, the other is the Baily-Borel compactification of their…

We introduce a notion of stability for varieties fibered over curves, motivated by Kollár's stability for homogeneous polynomials with integer coefficients.  We analyze geometric implications of stability for  fibrations whose fibers are complete intersections in weighted projective…