Upcoming talks and lectures

Lectures on conformal field theory and harmonic analysis, BICMR, June 2024

ICMP 2024, Strasbourg, July 2024

Path integrals and friends, Helsinki, September 2024

Various past talks

Sphere Packings, Spectral Gaps, and the Conformal Bootstrap, IAS School of Mathematics, Nov 2023

Automorphic Spectra and the Conformal Bootstrap, String Math 2022

A talk about new rigorous bounds on the spectral gap of the Laplacian on hyperbolic surfaces, using conformal bootstrap techniques. Based on a paper with Petr Kravchuk and Sridip Pal.

Bootstrapping Automorphic Spectra, IAS Physics Group Meeting, Nov 2021

A blackboard version of the above talk.

Sphere Packing and the Bootstrap, Sep 2021

A talk aimed at mathematicians, where I explain the connection between the Cohn+Elkies bounds on sphere packings and the modular bootstrap bounds on conformal field theories. Viazovska’s magic functions can be recovered from analytic extremal functionals, introduced to prove sharp bounds in the conformal bootstrap.

On Quantum Fields and Sphere Packings, Apr 2021

A popular talk for the Friends of the IAS society, sketching the basic ideas behind quantum field theory, the bootstrap, and their connection to the sphere packing problem.

Sharp Boundaries for the Swampland, Mar 2021

Online seminar in the QFT and Geometry series. Based on a paper with Simon Caron-Huot, Leonardo Rastelli, and David Simmons-Duffin.

Introduction to the Conformal Bootstrap for Mathematicians, Dec 2020

Talk at the workshop Sphere Packing and the Conformal Bootstrap, taking place (virtually) at the Simons Center for Geometry and Physics.

Dispersive CFT Sum Rules, IAS Seminar, Oct 2020

Seminar explaining the notion of dispersive sum rules in conformal field theories. Based on a paper with Simon Caron-Huot, Leonardo Rastelli and David Simmons-Duffin.

Sphere Packing and Quantum Gravity, Strings 2019

Talk about a connection between the modular bootstrap and the sphere packing problem. Based on a paper with Tom Hartman and Leonardo Rastelli.

Sphere Packing and Quantum Gravity, Apr 2019

A longer version of the talk above, given at the workshop Nonperturbative Methods for Conformal Theories, held in Natal, Brazil.

Analytic Functionals for the Conformal Bootstrap, Jan 2017

Online seminar of the Simons Bootstrap Collaboration. Based on this paper.