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)

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.

see conference website

The Spring 2026 Texas Geometry and Topology Conference will be held April 10-12 at Texas Christian University (TCU) in Fort Worth, TX. Full details, including registration information, can be found at the conference web site. Limited support for participants is available thanks to a grant from the National Science Foundation (DMS-2430866); the deadline for full consideration is March 15.

Confirmed Speakers:

• Gioacchino Antonelli (University of Notre Dame)
• Erin Chambers (University of Notre Dame)
• Hannah Larson (University of California, Berkeley)
• Anibal Medina-Mardones (Western University)
• Maggie Miller (University of Texas at Austin)
• Efton Park (TCU emeritus)
• Richard Schwartz (Brown University), Xavier Lecturer

In conjunction with the conference, Richard Schwartz (Brown University) will present two talks as this year's Professor Frederico and Joana Xavier Endowed Mathematics Lectureship.

Women In Number theory and Geometry Spring Retreat (WINGs) 2026 is the sixth edition of an annual retreat aimed at early-career mathematicians. Our goal is to help cultivate a sense of community among women and other under-represented genders in number theory and geometry, as well as share their research interests. This year, WINGs will be held at the DoubleTree by Hilton Cheltenham-Cotswolds Hotel from April 13th to April 16th 2026. Accommodation and meals will be provided for all participants.

Speakers include: Nirvana Coppola (Università di Padova), Julie Desjardins (University of Toronto Mississauga), Paola Frediani (Università di Pavia), Jasmin Raissy (tbc, Université de Bordeaux), Melanie Rupflin (University of Oxford), and Lejla Smajlović (University of Sarajevo). In addition, there will be two talks about opportunities beyond academia. There will also be social activities to encourage interaction between participants, and 20-minute talks given by participants, in the aim of learning about each other’s research interests and practicing presentation skills.

One can apply via the form on the website, which will appear in the new year. Applications close on January 31st 2026. For updates and further information, please see our website and if you have any questions, don’t hesitate to contact us at [email protected].

This workshop, sponsored by AIM and the NSF, will bring together experts from different areas in mathematics related to applications of the Bochner technique, including Riemannian geometry, complex geometry, representation theory, and geometric flows.

The Bochner technique is a foundational tool in differential geometry which provides a deep link to topology. Recent advances include new connections to representation theory with applications to vanishing results for Betti and Hodge numbers, the resolutions of the Nishikawa conjecture, projectivity and rational connectedness results for Kähler manifold, or new Kodaira-Bochner formulae. The aim of the workshop is to both push the boundaries of these areas as well as strengthen the interaction among experts in different areas. Utilizing the versatility of the Bochner technique is a key component of the workshop. The workshop is meant to bring together leading experts as well as aspiring new researchers from all areas related to the Bochner technique.

The main topics for this workshop are

(1) Vanishing results and applications to topology and geometric flows

(2) Representation theoretic aspects and symmetric spaces

(3) The curvature operator of the second kind

(4) Nonlinear Kodaira-Bochner formulae and their applications

See https://shotanimoto.wordpress.com/nagoya-algebraic-geometry-workshop-2026/.

The conference honours the work of John F. (Rick) Jardine, a professor at the University of Western Ontario. Over his more than 40 year career, Rick has made foundational contributions to homotopy theory, K-theory, and topological data analysis, in particular shaping the current landscape of homotopical algebra.

Homotopy limits and colimits are a fundamental tool in homotopy theory, with applications to topology, geometry, and algebra. The event is aimed at graduate students, postdocs, and early-career researchers who want to learn more about this topic.

See the website for more details.

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.

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.

This workshop, sponsored by AIM and the NSF, will focus on the geometry of Hilbert schemes. Despite their importance, many of their geometric properties remain mysterious. Classically, the Hilbert scheme of projective space was shown to be path-connected, while the Hilbert scheme of points on a smooth curve or surface is smooth. Beyond these foundational results, most research has centred on constructing pathological examples of Hilbert schemes that parametrize curves and higher-dimensional objects, revealing a striking contrast between the well-behaved and pathological cases. Recent breakthroughs have uncovered new smooth components of Hilbert schemes, identified extreme singularities, and exposed unexpected connections to combinatorics and linkage theory. This workshop will bring together experts and early-career researchers from around the world to advance our understanding of Hilbert schemes.

The conference Moduli and Friends II will take place at the Simion Stoilow Institute of Mathematics of the Romanian Academy (IMAR), Bucharest, during the week 24-28 August 2026.

This conference is focused on topics related to moduli spaces, including configuration spaces, hyperplane arrangements, homological representations and geometric aspects of quantum invariants. The goal is to bring together researchers from different domains under the general umbrella of "moduli spaces" and to encourage the discovery of new connections between these areas. It is a successor to the conference "Moduli and Friends", which took place in September 2023. For more details, see the conference website: https://sites.google.com/view/moduliandfriends2

Registration is open until 10 August 2026 or until the maximal number of participants is reached. We have (limited) funding to cover accommodation costs. If you would like to request funding for accommodation, please register by the earlier deadline of 15 June 2026.

Invited speakers include:

• Takuro Abe (Rikkyo University)
• Enrique Artal Bartolo (Universidad de Zaragoza)*
• Karin Baur (Ruhr-Universität Bochum)*
• José Ignacio Cogolludo Agustín (Universidad de Zaragoza)
• Adrian Diaconu (University of Minnesota)
• Olivia Dumitrescu (University of North Carolina at Chapel Hill)
• Louis Funar (Université Grenoble Alpes)
• Pierre Godfard (University of North Carolina at Chapel Hill)
• Rinat Kashaev (Université de Genève)
• Aaron Landesman (Harvard University)*
• Ishan Levy (Institute for Advanced Study)
• Erik Lindell (University of Copenhagen)
• Gwénaël Massuyeau (Université Bourgogne Europe)
• Rosa Maria Miró-Roig (Universitat de Barcelona)
• Motohico Mulase (University of California, Davis)
• Jun Murakami (Waseda University)
• Sam Nariman (Purdue University)
• Ralf Schiffler (University of Connecticut)
• Andreas Stavrou (University of Chicago)
• Ulrike Tillmann (University of Oxford / Isaac Newton Institute, Cambridge)
• Christine Vespa (Aix-Marseille Université)

[*=to be confirmed]

Organisers:

• Cristina Anghel (Université Clermont Auvergne, France / IMAR, Romania)
• Anca Măcinic (IMAR, Romania)
• Martin Palmer (IMAR, Romania)
• Arthur Soulié (CNRS - Université Caen Normandie, France)

Please share this opportunity with potentially interested students and postdocs.

The application deadline for the Heidelberg Laureate Forum (HLF) 2026 is Feb 11, 2026. See https://www.heidelberg-laureate-forum.org/ for details.

The HLF offers a rare opportunity for students, PhD candidates, and postdocs in mathematics and computer science to spend a week interacting with Abel Prize, Fields Medal, Turing Prize, ACM Prize in Computing, IMU Abacus Medal and Nevanlinna Prize laureates, as well as with other outstanding international early-career mathematicians and computer scientists from around the world, and a variety of distinguished guests. The program includes lectures, workshops, panel discussions, networking events, and more. All local expenses (hotel and meals) are covered and an option to apply for travel funding exists if needed.

Participating in an HLF is a wonderful opportunity in many ways.

See https://shotanimoto.wordpress.com/fano-varieties-and-related-topics/.

For more details on the workshop see https://www.mfo.de/www/activity/2646 .

Applications to participate in the Oberwolfach workshop can be submitted through the following form:

https://forms.gle/E9X7Z6m6xomndBjH8 .

The deadline for full consideration is 18 January 2026.

This conference, which is part of a long-standing tradition of French-Japanese collaboration in arithmetic geometry, will honor two leading figures of this partnership: Professor Takeshi Saito, on the occasion of his retirement, and Professor Takeshi Tsuji, on the occasion of his 60th birthday.

The main topics of the conference will include:

• p-adic Hodge theory, including the p-adic Simpson correspondence, geometric Sen theory, p-adic Galois representations and (φ,Γ)-modules, prismatic cohomology, and their applications;
• Ramification theory, including singular support and characteristic cycles of l-adic étale sheaves (in equal and mixed characteristic), compatibility with proper higher direct images, Swan conductors, and epsilon-factors;
• Geometric Langlands theory, l-adic, p-adic, and for modules with integrable connections, in characteristic p and in characteristic 0.

A one-week conference broadly focused on the topics of the L-functions and modular forms database (LMFDB), mathematical databases, computation, and number theory.

Spring 2028 semester program at the Institute for Computational and Experimental Research in Mathematics