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List of all the articles

A list of all the articles in the website, ordered by the most recent modification time.

Publications
Papers I have co-authored – last updated September 2026.
Presentations
The things I have said in various places.
Vita

Things that happened to me, professionally – last updated September 2026

Research
Mathematics.
Seminar on rough paths
An introductory master seminar on Rough path theory, which has taken place in Bonn in the Summer Semester 2022.
Enseignements 2011/2012
Lectures delivered at Paris Dauphine, academic year 2011–2012.
Enseignements 2012/2013
Lectures delivered at Paris Dauphine, academic year 2012–2013.
Statistical mechanics of lattice systems
This is a seminar on statistical mechanics held in Bonn in SS 2021 for the Bachelor degree in Mathematics.
Enseignements 2008/2009
Lectures delivered at Paris Dauphine, academic year 2008–2009.
Stochastic Analysis
A course developing applications of stochastic calculus to the study of continuous time stochastic processes. Course delivered in Bonn in the Summer Semester 2020.
Seminar: Nonperturbative Renormalization
An introduction to the continuous renormalization group via a Grassmann model. Took place in WS 2020–2021.
Enseignements 2010/2011
Lectures delivered at Paris Dauphine, academic year 2010–2011.
Teaching
Things I teach & have taught.
Enseignements 2014/2015
Lectures delivered at Paris Dauphine, academic year 2014–2015.
Stochastic Analysis
A course developing applications of stochastic calculus to the study of continuous time stochastic processes. Course delivered in Bonn in the Summer Semester 2022.
Enseignements 2009/2010
Lectures delivered at Paris Dauphine, academic year 2009–2010.
Stochastic Processes
A course delivered in Bonn in the summer semester 2021, via Zoom due to the pandemic.
Introduction to probability
A bachelor course delivered online (due to the pandemic) in Bonn in the winter semester 2020/2021. In German.
Programming
Content related to computer languages, programming, TeXmacs.
SRQ – Scaling limits, rough paths, quantum field theory
From September 3rd 2018 to December 21st 2018, together with D. Brydges, A. Giuliani, A. Kupiainen, H. Weber and L. Zambotti we organized a research period at the Netwon Institute in Cambridge to bring together people working in stochastic PDEs and people working around questions of stastistical mechanics and quantum field theory.
Events
I travel around to meet other mathematicians.
People
Present & past members of my research group – updated November 2024.
Marella
Marella is a novel I wrote and rewrote several times in the last twenty years. It is written in Italian, so this page is also not translated.
Writings
This page gathers some writings.
On Literate Programming
Some reflections on literate programming, TeXmacs, programming languages and writing.
Maurelli - Regularisation by noise
The lectures of Mario Maurelli at the second workshop of the Bernoulli Center Program “New developments and challenges in Stochastic Partial Differential Equations”
Zygouras - Critical SPDEs
The lectures of Nikolaos Zygouras at the second workshop of the Bernoulli Center Program “New developments and challenges in Stochastic Partial Differential Equations”
Shen - Stochastic quantisation
The lectures of Hao Shen at the second workshop of the Bernoulli Center Program “New developments and challenges in Stochastic Partial Differential Equations”
New developments and challenges in 
Stochastic Partial Differential Equations
I collect here the notes for some of the courses at the Bernoulli Center Program on SPDEs held in summer 2024.
Otto - A continuity argument in regularity structures
The lectures of Felix Otto at the second workshop of the Bernoulli Center Program “New developments and challenges in Stochastic Partial Differential Equations”
Elements of Mathematical Quantum Mechanics
These lectures are delivered in the context of the TCC course offer of HT 2024.
SRQ seminar – October 17th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – September 24th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – December 3rd, 2018
Notes from a talk in the SRQ series.
SRQ seminar – December 7th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – November 23th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – September 10th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – October 8th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – November 21th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – November 16th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – October 5st, 2018
Notes from a talk in the SRQ series.
SRQ seminar – November 2nd, 2018
Notes from a talk in the SRQ series.
SRQ seminar – October 8th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – November 9th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – October 9th, 2018
Notes from a talk in the SRQ series (actually this particular talk was delivered in the Probability seminar at Cambridge)
SRQ seminar – September 17th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – October 3rd, 2018
Notes from a talk in the SRQ series.
SRQ seminar – September 14th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – November 12th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – October 12th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – October 1st, 2018
Notes from a talk in the SRQ series.
SRQ seminar – December 5th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – October 15th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – October 29th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – September 28th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – October 19th, 2018
Notes from a talk in the SRQ series.
SRQ seminar – September 27th, 2018
Notes from a talk in the SRQ series.
Functional Integration and Quantum Mechanics
An introduction to the study of Quantum Mechanical models via the connection with probability theory given by the Euclidean approach. Course delivered in Bonn in Summer Semester 2020.
Quantum probability and quantum stochastic calculus
An introduction to the area of quantum probability and quantum stochastic calculus, seen as non-commutative generalisation of probability theory. Course delivered in Bonn in Summer Semester 2018.
When a local martingale is a martingale?
Last week we had a discussion in class about continuous local martingales. My experience is that it is a confusing aspect in learning stochastic calculus. I record here some aspects of that discussion. May 15th 2023.
Scripting webpages
I record here a workflow to fix some problems with the links in the website. It can be used as a tutorial in TeXmacs scripting. The goal is to batch-modify pages. Written May 13th, 2023.
Publications
What my collaborators, students and me have written – last updated October 2020.
Stochastic Processes
An introduction to various classes of stochastic processes, namely families of random variables indexed by a discrete or continuous parameter (time or space). The course took place in Boon in SS 2019.
Stochastic Analysis
A course developing applications of stochastic calculus to the study of continuous time stochastic processes. Course delivered in Bonn in the Summer Semester 2017.
Stochastic Analysis
A course delivered in Bonn in the summer semester 2016.
Markov Processes
A course delivered in Bonn in the winter semester 2017/2018.
Stochastic quantization of the Euclidean \(\Phi^4_3\) quantum field theory
An introduction to stochastic quantisation. A course that I delivered in the context of the graduate school of the University of Milan in February 2021.
Foundations in Stochastic Analysis
A course delivered in Bonn in the winter semester 2019/2020.
Large Deviations
This bachelor seminar took place in Bonn in the winter semester 2019/2020.
The mathematics of Feynman path integrals
A master seminar whici took place in Bonn in the summer semester 2020.
Rough paths and controlled paths
An introduction to the theory of rough paths, controlled paths and to recent developments in the analysis of singular SPDEs. Course delivered in Bonn in Winter Semester 2015/2016.
Template article
This file provides a template for typical notes/articles. You can use the tag notes-abstract to provide a small summary of the content, as exemplified by this very text.