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Presentations

The things I have said in various places.

Video recordings

2022

A stochastic analysis of EQFTs: the forward-backwards equation for Grassmann measures, IAMP seminar, December 2022 (watch recording)

What is stochastic quantization? May 2022, webinar Analysis, Quantum Fields, and Probability  (watch recording)

2021

The infinitesimal generator of the stochastic Burgers equation, Seminário Brasileiro de Probabilidade, November 2021 (watch recording)

Facets of stochastic quantisation, OOPS 21, September 2021, Lecture 1 (watch recording) Lecture 2 (watch recording) Lecture 3 (watch recording)

Stochastic analysis of Euclidean quantum fields. Talk given on September 30, 2021 at the Conference “Seminal Interactions between Mathematics and Physics. II”, Accademia Nazionale dei Lincei, Rome (watch recording)

Lectures on stochastic quantisation (ten lectures), February 2021 (watch playlist)

2019

Stochastic analysis and quantum fields, Workshop “Singular SPDEs and Related Topics”, HCM Bonn, November 2019 (watch recording)

2018

A panorama of singular SPDEs, ICM 2018 (watch recording)

2015

Pathwise regularisation by noise in PDEs, CIRM, August 2015 (watch recording)

Slides

2026

Stochastic observables and Wilson–Itô diffusions – Sussex, 2026 (slides (PDF))

Equations for Euclidean fields – York, March 11, 2026 (slides (PDF))

2025

Proofs, programs & stories – “Mechanization and Mathematical Research”, Lorentz Center, Leiden, September 15–19, 2025 (slides (PDF))

Elliptic equations and supersymmetry – DIMS, Leipzig, June 18, 2025 (slides (PDF))

Stochastic analysis meets Euclidean quantum field theory – Barcelona, January 22, 2025 (slides (PDF))

2024

An invitation to stochastic quantisation – 4th Italian Meeting on Probability and Mathematical Statistics, Rome, June 10–14, 2024 (slides (PDF))

Stochastic quantisation of the fractional \(\Phi^4_3\) Euclidean QFT in the full subcritical regime – Maxwell Institute Probability and Stochastic Analysis Workshop, Edinburgh, March 13, 2024 (slides (PDF))

2023

Wilson–Itô diffusions – “Critical phenomena in statistical physics, continuum theories and SPDEs”, Warwick, December 14, 2023 (slides (PDF))

Stochastic equations for Euclidean fields – Imperial College London, December 5, 2023 (slides (PDF))

Constructive stochastic quantisation – CIME course “Statistical Mechanics and Stochastic PDEs”, Cetraro, September 11–16, 2023 (slides (PDF))

Stochastic equations for Euclidean fields – SPA, Lisbon, July 28, 2023 (slides (PDF))

Stochastic quantisation of the fractional \(\Phi^4_3\) Euclidean QFT in the full subcritical regime – NEMSA workshop, Warwick, June 7, 2023 (slides (PDF))

New directions & open problems in stochastic analysis – Center for Mathematical Physics Colloquium, Leipzig, May 19, 2023 (slides (PDF))

What is stochastic quantisation? (and why should I care?) – Informal Stochastic Analysis Seminar, Oxford, May 2, 2023 (slides (PDF)) – PDEs & Mathematical Physics Seminar, ETH, April 27, 2023 (slides (PDF))

Stochastic quantisation of the fractional \(\Phi^4_3\) Euclidean QFT in the full subcritical regime – Probability Seminar, Oxford, March 6, 2023 (slides (PDF))

What is stochastic quantisation? – Webinar PRISMA, March 6, 2023 (slides (PDF))

2022

A stochastic analysis of EQFTs: the forward-backwards equation for Grassmann measures – IAMP One World Mathematical Physics Seminar, December 20, 2022 (slides (PDF))

Towards stochastic quantisation of Euclidean Fermions – “Quantum many-body systems and interacting particles”, Münster, June 2022 (slides (PDF))

What is stochastic quantisation? – MIT Probability Seminar, May 2022 (slides (PDF)) – AQFT seminar, May 2022 (slides (PDF))

2021

Some aspects of stochastic quantisation – Quantization Days 2.0, online, December 2021 (slides (PDF))

Stochastic analysis of Euclidean quantum fields – Seminal Interactions between Mathematics and Physics II, Rome, September 30, 2021 (slides (PDF))

A variational method for Euclidean quantum fields – 10th ICSAA, Kyoto/online, September 7, 2021 (slides (PDF))

Facets of stochastic quantisation – OOPS 2021, September 1, 2021: Lecture 1 (slides (PDF)), Lecture 2 (slides (PDF)), Lecture 3 (slides (PDF))

Stochastic quantisation – ICMP 2021, Geneva, August 6, 2021 (slides (PDF))

A variational method for Euclidean quantum fields – Lévy Lecture, World Congress in Probability and Statistics (WC2020), Seoul, July 20, 2021 (slides (PDF))

Variational approaches for Euclidean quantum field theory – Oberseminar Mathematische Stochastik, online, Münster, May 18–20, 2021: Part 1 (slides (PDF)), Part 2 (slides (PDF)), Part 3 (slides (PDF))

Bounds for Fermionic expectations – Seminar Non-perturbative RG, Bonn/online, April 8, 2021 (slides (PDF))

The infinitesimal generator of the stochastic Burgers equation – Seminário Brasileiro de Probabilidade, online, March 9, 2021 (slides (PDF))

Grassmannian stochastic analysis – AAP Day, online, January 8, 2021 (slides (PDF))

2020

Weak universality, stochastic quantisation and singular SPDEs – ETHZ, June 16, 2020 (slides (PDF))

2019

The generator of some singular SPDEs – PSPDE VIII, Lisbon, December 2019 (slides (PDF)), Pisa, July 2019 (slides (PDF))

Stochastic analysis of quantum fields – Singular SPDEs and Related Topics, HIM, Bonn, October 23, 2019 (slides (PDF)) – Touchdown of Stochastic Analysis in Bielefeld, September 25–26, 2019 (slides (PDF)) – SPA 2019, Evanston, July 12, 2019 (slides (PDF))

A PDE construction of \(\Phi^4_3\) – Forum de physique statistique à l'ENS, Paris, February 26, 2019 (slides (PDF))

Two stochastic methods for \(\Phi^4_3\) – Seminar on Stochastic Processes, Zürich, February 20, 2019 (slides (PDF))

2018

A panorama of Singular SPDEs – ICM 2018, Rio de Janeiro. (slides (PDF))

Universality and Singular SPDEs – Mathematical Colloquium, Bielefeld, May 30, 2018 (slides (PDF)) – IHP, Paris, January 23, 2018 (slides (PDF))

2017

Universality and Singular SPDEs – Scuola Normale Superiore, Pisa, December 7, 2017 (slides (PDF)) – Fields Institute, Toronto, October 18, 2017 (slides (PDF)) – Charles River Lectures, Boston, October 2, 2017 (slides (PDF))

Weak universality and singular SPDEs – Paris, March 20, 2017 (slides (PDF)) – Mini-Symposium in Partial Differential Equations, ICMS, Edinburgh, March 14, 2017 (slides (PDF)) – SSP 2017, Charlottesville, March 10, 2017 (slides (PDF))

2016

Reflected rough differential equations – WT Colloquium – TU Berlin, October 2016 (slides (PDF))

Infinite dimensional rough dynamics – Abel symposium, 2016 (slides (PDF))

Weak universality of the stationary Kardar–Parisi–Zhang equation – British Mathematical Colloquium – Bristol, March 23 2016. (slides (PDF)) – SPDEs and Applications – Levico Terme, May 31st 2016. (slides (PDF))MFO Workshop “Large Scale Stochastic Dynamics” – Oberwolfach, November 13-19, 2016 (slides (PDF)) Workshop “Stochastic PDE's, Large Scale Interacting Systems and Applications to Biology” Orsay–ENSTA, March 9–11 2016. (slides (PDF))

Singular SPDEs and paracontrolled distributions GF 2016 – Dubrovnik, Sept 8th, 2016 (slides (PDF))

2015

Two controlled paths to the KPZ equation – 14th International symposium “Stochastic Analysis on Large Scale Interacting Systems” RIMS Kyoto, Oct 26th–29th 2015. (slides (PDF))

Disordered Models of Mathematical Physics – Valparaiso, July 21–24, 2015 (slides (PDF))

Regularisation by noise in PDEs – Equadiff 2015, Lyon, July 6–10, 2015 (slides (PDF))

Pathwise regularisation by noise in PDEs – Workshop “Averaging and homogenisation in deterministic and stochastic systems” CIRM, May 2015. (slides (PDF))

2014

Regularisation by noise in PDEs – Stochastic Analysis workshop, Tohoku University, October 2014 (slides (PDF))

Paracontrolled distributions with applications to singular SPDEs ENSTA, Paris – November 3rd 2014 (slides (PDF)) Rencontres Mathématiques de Rouen – June 19-20th, 2014 (slides (PDF)) Stochastic Analysis workshop, Tohoku University – October 15th, 2014 (slides (PDF)) IMS ASC, Sydney – July 8th, 2014 (slides (PDF))

Paracontrolled distributions – January 2014, Levico (slides (PDF))

KPZ equation via paracontrolled distributions – Kyoto University – October 24th, 2014 (slides (PDF))

Paracontrolled distributions (with applications to singular SPDEs) – Cergy–Pontoise – March 2014 (slides (PDF)) MPI Leipzig – May 20th, 2014 (slides (PDF)) LPMA, Paris – April 2014 (slides (PDF)) 11th GPSD Ulm – March 2014 (slides (PDF))

The regularizing effect of irregular functions – Bonn, April 2014 (slides (PDF)) CMAP, June 2014. (slides (PDF)) Kyoto University, October 2014. (slides (PDF))

2013

Applications of controlled paths – Nice, February 2013 (slides (PDF))

2012

Applications of controlled paths – Oxford, September 2012 (slides (PDF))

Controlled paths and regularization in (S)PDEs – Cergy-Pontoise, January 2012 (slides (PDF))

2011

Regularization by oscillations – Conference “Evolution Equations: Randomness and Asymptotics”, Bad Herrenalb (Germany), October 2011 (slides (PDF)), Seventh Seminar on Stochastic Analysis, Random Fields and Applications, Ascona (Switzerland), May 23 - 27, 2011 (slides (PDF))

2010

Rough paths in Spain – COCO 2010 final conference, Madrid, 22nd June 2010 (slides (PDF))

Some infinite dimensional rough paths – Stochastic Analysis Seminar, Oxford–Man Institute, Oxford, February 22, 2010 (slides (PDF))

2008

Some infinite dimensional rough paths – Minisymposium on Rough Path Theory, 5th European Congress of Mathematics, Amsterdam, July 2008 (slides (PDF))

Undated

Stochastic transport equation and non-Lipschitz SDEs – Seminar on Random Problems in PDEs and large systems, CMAP-CMLS, Ecole Polytechnique, Palaiseau (slides (PDF))

2007

Trees, rough integrals and differential equations – Conference on Combinatorics and Physics, Max Planck Institute for Mathematics, Bonn, March 19-23, 2007 (slides (PDF))

2005

Explorations on rough paths – Fifth Seminar on Stochastic Analysis, Random Fields and Applications, Ascona (Switzerland), May 30 - June 3, 2005 (slides (PDF))

Rough evolution equation – Department of Mathematics, University of Warwick, October 24th, 2005 (slides (PDF))