Previous Conferences & Workshops

I will discuss some recent work, joint with B. Pausader, on constructing global solutions of defocusing energy-critical nonlinear Schrodinger equations in periodic and semiperiodic settings.

The long code is a central tool in hardness of approximation, especially in questions related to the unique games conjecture. Many hardness reductions and constructions of integrality gap instances use the long code as a core gadget. However, this...

A metric on a compact manifold M gives rise to a length function on the free loop space LM whose critical points are the closed geodesics on M in the given metric. Morse theory gives a link between Hamiltonian dynamics and the topology of loop...

We show that there exists an $N$-point subset of $L_1$ such that for every $D > 1$, embedding it into $\ell^d_1$ with distortion $D$ requires dimension $d$ at least $N^{\Omega(1/D^2)}$, and that for every $\epsilon > 0$ there exists an $N$-point...