33èmes Journées Arithmétiques

The Journées Arithmétiques (JA) have a glorious history. Their first edition was held in 1960 in Grenoble and starting in the 1980’s the location alternates between France and another country in Europe. The JA have toured the United Kingdom, Switzerland, Spain, Italy, Austria, Lithuania, Hungary, Turkey, and were first held in Luxembourg in 2025. Some major results in number theory were first presented at JA, such as the proofs of the irrationality of zeta of 3 by Apéry, of the Iwasawa Main Conjecture by Mazur and Wiles, and of the Mordell Conjecture by Faltings.

Nowadays, this in-person event is probably the largest number theory gathering in the world, attracting both junior and senior mathematicians. JA25 in the year (20+25)² was the 33rd edition: there were more than 350 participants and more than 250 talks.

Scientific Committee

Jennifer S. Balakrishnan (Boston University)
Ana Caraiani (Imperial College London)
Philippe Michel (EPF Lausanne)
Wiesława Nizioł (Sorbonne Université)
Yunqing Tang (University of California, Berkeley)
Michael Temkin (Hebrew University)
Akshay Venkatesh (Institute of Advanced Study Princeton)
Xinwen Zhu (Stanford University), Head of the Scientific Committee

Plenary Speakers

Charlotte Chan (University of Michigan), Positive-depth Deligne-Lusztig theory
Samit Dasgupta (Duke University), On Special Values of Abelian L-functions: Stark’s conjectures, Explicit Class Field Theory, and Transcendence Theory
Vesselin Dimitrov (California Institute of Technology), Arithmetic criteria for the modularity of a formal Dirichlet series
Ben Heuer (Goethe University Frankfurt), An introduction to p-adic non-abelian Hodge theory
Paul Nelson (Aarhus University), The orbit method, microlocal analysis and applications to L-functions
Céline Maistret (University of Bristol), The arithmetic essence of curves
James Newton (University of Oxford), Modularity of Galois representations
Sarah Peluse (Stanford University), Integer distance sets
Peter Scholze (Max Planck Institute for Mathematics Bonn), Wild Betti sheaves
Andrew Sutherland (Massachusetts Institute of Technology), L-functions from nothing

PUBLIC LECTURE: Kristin Lauter (at Meta: Senior Director of FAIR Labs North America), Open-source AI for accelerating scientific discovery

Organizers

The main organizers of the event are Antonella Perucca and Gabor Wiese, assisted by Marie Leblanc from the administration.
Associated organizers from the Roman Number Theory Association are Laura Capuano and Valerio Talamanca. The local organization team includes: the research facilitator Katja Badanjak; the administrative assistants Emilie De Jonge and Stéphanie Marbehant; the researchers and PhD students Félix Baril Boudreau, Alexandre Benoist, Clifford Chan, Anne Fisch, Fritz Hörmann, Leolin Nkuete, An-
tigona Pajaziti, Tim Seuré, Paolo Tomasini, Vincent Wolff; the student assistants Hamza Aaboud, Asal Ashraf, Yanis Bosch, Maria de Fatima Gomes De Sousa, Boaz Tamire Habte, Maryam Kouchakinejad, Vaibhav Kailash Mangroliya, Frerashyno Ndah Ngu, Emily Johanna Schutte, Arian Sajjadian Mousavi. We also acknowledge the support from the organizers of the previous Journées Arithmétiques (JA23 in Nancy).