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5 November 2026 ⋅ paper
Nonlinear PDEs with
modulated dispersion II: Korteweg–de Vries equation
With K. Chouk, G. Li, J. Li and T. Oh, accepted for publication in the Memoirs of the European Mathematical Society (arXiv:1406.7675). See the publications page.
5 November 2026 ⋅ lectures
A
constructive introduction to quantum field theory
Notes and slides (PDF, HTML and TeXmacs sources) of my course at SISSA, Trieste, 20 October–9 November 2026. Lectures 1–5 have been delivered. The provisional materials for Lectures 6–7 give an FBSDE construction of \(\phi^4_3\) on the torus, with new results from joint work with Sarah-Jean Meyer. Course page added 21 October 2026; updated 5 November 2026.
30 October 2026 ⋅ lectures
A
stochastic analysis perspective on Euclidean fields
Lecture notes and the eight recordings of my course at the 53rd Saint-Flour Probability Summer School (2025), with timestamps linking to each topic. The teaching page now also lists my lecture series.
27 October 2026 ⋅ talk
Stochastic
observables and the forward–backward flow of a Euclidean
field
Workshop Deterministic and Stochastic Evolution Equations, Scuola Normale Superiore, Pisa (slides). The presentations archive also has new slides from the SISSA workshop (September 28–October 2, 2026) and from York (March 11, 2026).
23 October 2026 ⋅ writing
What do
we talk about when we talk about unbounded self-adjoint
operators?
The first post of a series that uses the notion of an observable as an organising principle for the theory of unbounded self-adjoint operators: spectral measures, resolvents, unitary groups and strong resolvent convergence. A companion page gives the proofs and complements.
12 October 2026 ⋅ paper
Parabolic
stochastic quantisation of the fractional \(\Phi^4_3\) model in the
full subcritical regime
With P. Duch and P. Rinaldi, published online in the Journal of the European Mathematical Society (arXiv:2303.18112).
September 2026 ⋅ paper
Constructive
stochastic quantisation
My lecture notes from the CIME school “Statistical Mechanics and Stochastic PDEs” (Cetraro, 2023), forthcoming in Springer's Lecture Notes in Mathematics, vol. 2401.
2 September 2026 ⋅ talk
Stochastic
observables and constructive RG
Invited plenary talk at the 13th International Conference on the Exact Renormalization Group (ERG2026), University of Sussex, Brighton (slides).
July 2026 ⋅ papers
Nonlinear PDEs with
modulated dispersion
Part IV, Normal form approach and unconditional uniqueness (with G. Li, J. Li and T. Oh), published in the Peking Mathematical Journal. Two new preprints: Part III, Multiplicative noises (with A. Chapouto, G. Li, J. Li and T. Oh, arXiv:2607.08385), and Refined global well-posedness for the periodic modulated Korteweg–de Vries equation (with D. Greco, S. Liu and T. Oh, arXiv:2607.09023).
January 2026 ⋅ preprint
On the weak
coupling limit of the periodic quantum Lorentz gas
With V. Sanjay (arXiv:2601.07453).
For everything else, see the writings, teaching, presentations and publications pages, the list of all the articles and the Atom feed.