This is a writeup of lectures given at the EPFL Lausanne in the fall of 2012. The topics covered: physical foundations of conformal symmetry, conformal kinematics, radial quantization and the...

# Publications

## Pages

We consider families of non-colliding random walks above a hard wall, which are subject to a self-potential of tilted area type. We view such ensembles as effective models for the level lines of...

These notes provide an introduction to the local semicircle law from random matrix theory, as well as some of its applications. We focus on Wigner matrices, Hermitian random matrices with...

This papers deals with connections between quantum anomalies and transformations of Feynman pseudo-measures. Mathematical objects related to the notion of the volume element in an infinite-...

We consider the membrane model, that is the centered Gaussian field on *Z ^{d}* whose covariance matrix is given by the inverse of the discrete Bilaplacian. We impose a δ- pinning...

The symmetries of string theory on *{\rm AdS}_3 \times {\rm S}^3 \times \mathbb{T}^4* at the dual of the symmetric product orbifold point are described by a so-called Higher Spin Square (...

Recent work has shown that modifications of General Relativity based on the addition of a non-local term R\,\Box^{-2}R produce a dynamical model of dark energy, which is cosmologically viable...

Correlation functions of ferromagnetic spin systems satisfying a Lee-Yang property are studied. It is shown that, for classical systems in a non-vanishing uniform external magnetic field *h...*

Frozen percolation on the binary tree was introduced by Aldous around fifteen years ago, inspired by sol-gel transitions. We investigate a version of the model on the triangular lattice, where...

We compute the homotopy derivations of the properads governing even and odd Lie bialgebras as well as involutive Lie bialgebras. The answer may be expressed in terms of the Kontsevich graph...

Run 2 LHC data show hints of a new resonance in the diphoton distribution at an invariant mass of 750 GeV. We analyse the data in terms of a new boson, extracting information on its properties...

The notion of a quantizable odd Lie bialgebra is introduced. A minimal resolution of the properad governing such Lie bialgebras is constructed.