LECTURES AT BARTHOLOMEW'S.

Lectures

1 Lectures at ICMat / UAM

We will consider the inverse conductivity problem or Calderón problem [11] in three dimensions (and higher). The fundamental paper is the work of Sylvester and Uhlmann [23] which gives global uniqueness in the inverse conductivity problem in three dimensions. In this problem we want to find a coefficient in an elliptic differential operator The first step will be to recover the coefficient at t...

Notes for Lectures at Tsinghua Daxue

These are very schematic notes for lectures given at Tsinghua in July 2016. Setting : convex co-compact hyperbolic surfaces. I have chosen this setting because it appears in so many different areas of mathematics and gives rise to interesting problems for resonances, many of which still have not been answered. I will not talk about Pollicott–Ruelle resonances since covering both kinds of resona...

SUPERSYMMETRIC GRAND UNIFICATION : Lectures at TASI 97

One of the key ingredients of physics beyond the standard model is widely believed to be a symmetry between the fermions and the bosons known as supersymmetry. The reason for this is that the milder divergence structure of field theories with this symmetry may explain why the electroweak scale (or the Higgs mass ) is stable under radiative corrections. Two other reasons adding to this belief ar...

Plenary Lectures