During the 2025-26 academic year the School will have a special program on Arithmetic Geometry, Hodge Theory, and O-minimality. Jacob Tsimerman, University of Toronto will be the Distinguished Visiting Professor.

The purpose of this special year will focus on recent developments in hodge theory and o-minimality and their applications to arithmetic geometry. There has been much progress over the last 15 years in using transcendental uniformization maps to study arithmetic questions (general shafarevich theorems, results on unlikely intersections, general bounds on rational point counts). It has become increasingly clear that hodge theory (both classical and P-adic) and the resulting period maps form a natural home for these kinds of investigations to arise. In the other direction, O-minimality has been applied with success to make progress on questions in Hodge theory (Griffiths conjecture, definable period maps), and has recently had its own explosion of results (sharply O-minimal sets, the resolution of Wilkie's conjecture).

The goal of this year will be to bring together researchers in these different fields, with the aim of extending the collaboration between areas, share key insights, and investigate how far existing methods can be pushed.

Senior participants: Gal Binaymini, Ben Bakker (to be confirmed), Jonathan Pila and Claire Voisin (STV)

The Geometric and Analytic Number Theory conference will bring together world leading researchers to present talks on the latest advancements in the fields of geometric and analytic number theory with a view towards rational points on varieties and counting number fields. Attendees will have the opportunity to engage with pioneering work and connect with peers from around the world, fostering collaboration and knowledge exchange within the number theory community.

The "Dawn · Midi · Yofuke International Seminar" (DMY) is a hybrid and topic-oriented seminar with a focus on homotopy arithmetic geometry, between USA-France-Japan. This session:

Homotopy Galois Action

1. Sep. 08 (Colloquium) Arithmetic of fundamental groups, by C. Rasmussen (Wesleyan)
2. Sep. 09: Galois actions on pro-p fundamental groups of once-punctured CM elliptic curves, by S. Ishii (Keio)
3. Sep. 22: Arithmetic of elliptic curves related to Ihara's program, by C.McLeman (Michigan Flint)
4. Sep. 23: Galois l-adic polylogarithms, by D. Shiraishi (Tokoyo Univ. Sciences)

On website: Program & references and Registration

This is the final meeting of the PRIN2022 project: Semiabelian varieties, Galois representations and related Diophantine problems

Workshop dedicated to isogeny-based cryptography.

The year 2024 will mark the 30th anniversary of the resolution of Fermat’s Last Theorem, one of the most celebrated applications of the Langlands program. In the three decades since, many seemingly disparate areas of research within the Langlands program have blossomed, some inspired by the ideas introduced in the proof of Fermat, some with a more geometric flavor, made possible in part by the theory of perfectoid spaces, and some with a more representation-theoretic flavor.

The categorical Langlands program is an emerging conceptual framework that encompasses these disparate areas of research: the $p$-adic Langlands program, the geometrization of the local Langlands correspondence, and the cohomology of Shimura varieties in its many incarnations, just to name a few. This workshop brings together architects of the categorical Langlands program in the number field setting as well as emerging experts. The goals are to take stock of the state of the art in the field, and to chart a course for future developments, and to provide mentorship and support to a diverse group of early-career participants.

Due to limited space, in-person attendance at this meeting is by invitation only. However, we welcome applications for virtual participation in the workshop. If you are interested in virtual attendance, please apply at the following link: https://forms.gle/kPz15Cnj8CGKKkJy9.

For more information, please consult the conference web page:

The ``Dawn · Midi · Yofuke International Seminar'' (DMY) is a hybrid and topic-oriented seminar with a focus on homotopy arithmetic geometry, between USA-France-Japan.

Talks of this session:

• Oct. 07: Colloquium :: Arithmetic of nonabelian Chabauty, by N. Dogra (King's London)
• Oct. 08: An Oda-Tamagawa criterion for fundamental groupoids of hyperbolic curves, by A. Betts (Cornell)
• Oct. 13: Explicit methods in Chabauty-Kim theory for rational points, by S. Hashimoto (Brown)
• Oct 14: Motivic aspects in genus 0, by I. Dan-Cohen (Ben-Gurion)

Registration for Zoom link and future annoucements on website.

This workshop, sponsored by AIM and the NSF, will be devoted to studying arithmetic dynamics of multiple maps. In classical arithmetic dynamics, we consider the iteration of a single endomorphism of a variety defined over a field of arithmetic interest — typically a number field or the function field of a curve. An exciting new direction in arithmetic dynamics that holds particular promise for striking new results is what we call "dynamics of multiple maps": dynamical behavior arising from the interaction of two or more endomorphisms on the same space.

This conference aims to offer for young researchers the opportunity to discuss their research with the invited experts and to present their latest scientific contributions and achievements in Algebra, Number theory and other related topics.

moments of the derivative of characteristic polynomials of matrices from the classical compact groups, and of the analogous L-functions.

These inquiries become particularly intricate when the exponent on the derivative is non-integer or when the evaluation point of the characteristic polynomial approaches the unit circle at varying rates. Exploring these statistics will improve our understanding of the distribution of zeros, and the value distribution of L-functions

Thematic Month on the Langlands program

The conference consists of five lectures by Professor Bjorn Poonen of the Massachusetts Institute of Technology on “Undecidability related to arithmetic geometry”. This is supported with talks by experts and structure group discussions/workshops. We have some NSF support for participants that register early.

This workshop, sponsored by AIM and the NSF, will be devoted to new developments in integral p-adic cohomology theories, focusing in particular on their applications to the study of integral models of Shimura varieties. The main topics for the workshop are (1) Prismatic/syntomic realizations for Shimura varieties beyond hyperspecial level. (2) Characterizing and constructing integral models of local and global Shimura varieties. (3) Applications to automorphic forms and cohomology of Shimura varieties

see conference website

NUMBER THEORY in honor of Krishna Alladi's 70th birthday March 18 - 22, 2026

University of Florida, Gainesville USA

ORGANIZERS: George E. Andrews (The Pennsylvania State University), Frank Garvan (University of Florida) and Andrew Sills (Georgia Southern University)

There will be four special lectures:

• OPENING CONFERENCE LECTURE: Peter Sarnak, Institute for Advanced Study, Princeton and Princeton University
• ERDOS MEMORIAL LECTURE: Andrew Granville, University of Montreal
• STRAUS MEMORIAL LECTURE: Carl Pomerance, Dartmouth College
• RAMANUJAN COLLOQUIUM: Maksym Radziwill, Northwestern University

Workshop on Iwasawa Theory

A conference marking the 50th anniversary of the publication of Barry Mazur's "Modular curves and the Eisenstein ideal" and Ken Ribet's "A modular construction of unramified p-extensions of Q(μ_p)". The talks will feature recent advances in areas of research that have been influenced by these two papers.

We are delighted to announce the 17th Algorithmic Number Theory Symposium (ANTS-XVII), to take place in Groningen on 6 - 10 July 2026.

The ANTS meetings, held every two years since 1994, are the premier international forum for the presentation of new research in computational number theory and its applications. They are devoted to algorithmic aspects of number theory, including elementary number theory, algebraic number theory, analytic number theory, geometry of numbers, algebraic geometry, finite fields, and cryptography.

We have also opened a call for papers for an associated proceedings volume. We strongly encourage anyone with research related to the topics above to submit a paper by 17 January 2026. As in previous editions, for each accepted submission, at least one author must present the work at the conference.

Plenary speakers:

• Eva Bayer-Fluckiger (École Polytechnique Fédérale de Lausanne, Switzerland)
• Peter Koymans (Utrecht University, Netherlands)
• Sabrina Kunzweiler (Inria Bordeaux, France)
• Aurel Page (Inria Bordeaux, France)
• John Voight (University of Sydney, Australia)

Important dates:

• Paper submission deadline: 17 January 2026
• Conference: 6 - 10 July 2026

For more information, such as the programme committee or details on the call for papers, see the web page, https://www.antsxvii.org. In due time this web page will also contain travel and registration information, and information on our sponsors.

The 22nd International Conference on Fibonacci Numbers and Their Applications will be held at Galatasaray University, Istanbul, on July 6–10, 2026. The conference aims to bring together researchers from all areas of mathematics and science with interests in recurrence sequences, their applications and generalizations, and other special number sequences.

See conference website

On the occasion of 40+ years after the seminar paper of Gross--Zagier, we bring together experts to deliver lectures on a broad range of topics connected with the Gross-Zagier formula, its generalizations, related future directions, and other works that it has inspired.