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 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].

See conference website: https://www.icmat.es/RT/2026/AGFF/program.php

Registration: https://www.icmat.es/RT/2026/AGFF/registration.php

The Moab Topology Conference will take place at Utah State University Moab on May 4–6, 2026. The conference will focus on recent developments in various subfields of low-dimensional and quantum topology. The goal of the conference is to share current research with graduate students and postdoctoral scholars as well as to give an opportunity for them to talk about their work.

The plenary speakers for the conference are:

Alexandra Kjuchukova (University of Notre Dame)

Christine Ruey Shan Lee (Texas State University)

Eric Samperton (Purdue University)

Each speaker will deliver one introductory lecture and one research lecture. The remaining talks will be given by graduate student and postdoctoral participants. Graduate students are especially encouraged to attend and give a talk! The deadline to apply for funding and submit an abstract is March 2, 2026.

We expect to cover travel and local accommodation costs for US-based graduate students and postdoctoral participants thanks to a grant from the National Science Foundation. Participants will have access to a shared hotel room in the conference hotel.

For further information, including registration, please see the conference website: https://artsci.usu.edu/math-stats/moab-topology-conference/

We hope to see you in Moab!

The organizers

Nathan Geer (Utah State University)

Mark Hughes (Brigham Young University)

Maggie Miller (The University of Texas at Austin)

Matthew B. Young (Utah State University)

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 goal of this workshop is to discuss the papers Étale metaplectic covers of reductive group schemes'' by Yifei Zhao andWhat are the extended pure inner forms of a cover?''by Zhao and Luozi Shi. We will focus on how they fit into other recent research related to covers of reductive groups and their role in the Langlands program.

The theme of the 2026 Georgia Topology conference is "Flows, foliations, and Floer homology". There will be a summer school May 18-20, followed by the conference May 21-23.

We are excited to announce that GTA Philadelphia 2026, our 11th annual graduate student conference in geometry, topology, and algebra, will take place from Friday May 29th to Sunday May 31st, 2026 at Temple University in Philadelphia.

The plenary speakers are:

Tye Lidman (North Carolina State University)

Cary Malkiewich (Binghamton University)

Naomi Sweeting (Princeton University)

Alex Wright (University of Michigan)

Graduate students have the opportunity to give ~20 minute research talks. We have NSF funding to support US-institution-based student participants, and particularly encourage members of underrepresented groups to apply.

We will also feature a panel discussion surrounding math collaboration.

You can register here! Participants who require funding should register by April 9th, 2026. Titles and Abstracts must also be submitted by April 9th, 2026.

For more information please see our website: GTA Philadelphia 2026.

If you have any questions, please feel free to email us at [email protected].

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.

Dear Colleagues,

The 43rd Annual Workshop in Geometric Topology will be held in person June 18-20, 2026 at the Utah Valley University in Orem, Utah. The principal speaker will be Dan Margalit of Vanderbilt University, who will give a series of three one-hour lectures on reconstruction problems in mathematics. Participants are invited to contribute talks of 20 minutes. Contributed talks need not be directly related to the topic of the principal lectures. Talks will be selected in a way that provides a balanced collection of topics and respects the historical traditions of the workshop. The deadline for talk requests is May 19, 2026. Applicants will be notified whether their talk has been accepted soon after.

Full details, including registration, abstract of the principal lectures, housing, funding, and information about submitting titles and abstracts for contributed talks, can be found at the conference website at https://sites.google.com/view/workshopgeometrictopology2026/

The Workshops in Geometric Topology are a series of informal annual research conferences that have been held since 1984. The workshops currently rotate among Oberlin College, Calvin College, Colorado College, Texas Christian University, and the University of Wisconsin at Milwaukee, with Utah Valley University being a new addition to the rotation. Each workshop features a series of three lectures by one principal speaker, providing a substantial introduction to an area of current research in geometric topology. Participants are invited to contribute short talks on their own research, and there is ample time set aside each day for informal interactions between participants. The 43rd Annual Workshop in Geometric Topology is supported by the National Science Foundation grant no. 2350373. Financial support may be available to cover partial travel and living expenses of participants who do not have other funding for their research.

Workshop Organizers:

Fredric Ancel, University of Wisconsin-Milwaukee

Jack Calcut, Oberlin College

Greg Friedman, Texas Christian University

Craig Guilbault, University of Wisconsin-Milwaukee

Wiktor Mogilski, Utah Valley University

Molly Moran, Colorado College

Nathan Sunukjian, Calvin College

Please contact Wiktor Mogilski ([email protected]) if you have any questions.

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

The conference “Regensburg GAP days 2” takes place in Regensburg on 27-29 July 2026.

This conference aims to bring together early career researchers in geometric group theory, arithmetic geometry and analysis of PDEs, who will have the opportunity to present their own results.

In mostly parallel sessions, we will provide a stimulating environment for collaboration and scientific interaction between young participants and senior speakers, the latter being:

• Mireille Soergel, TU Berlin
• Anitha Thillaisundaram, Lund University
• Naomi Andrew, Laboratoire de Mathématiques d’Orsay
• Katharina Müller, Bundeswehr Universität München
• Eugenia Rosu, Leiden University
• Oihana Garaialde Ocaña, University of the Basque Country
• Lea Boßmann, FAU Erlangen-Nürnberg
• Céline Grandmont, Sorbonne Université & Inria
• Dorothee Knees, Universität Kassel
• Elke Wolf, Hochschule München

In addition to the mathematical presentations, we will also feature a lecture on gender studies in academic contexts and two career panels.

Everyone is welcome to participate! Limited funding for travel and accommodation is available. The deadline for contributed talks and financial support is April 30, 2026.

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.

CAIM series provide a forum for the review of the recent trends in applied and industrial mathematics either from a qualitative or from a numerical point of view. Computer science communications are welcome. Since theoretical studies find sooner or later their applicability, the conference has also sections for the theoretical branches of mathematics like algebra, probability theory, mathematical statistics or geometry. A special section of the conference is dedicated to the mathematical teaching.

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)

This summer school aims to train a new generation of young researchers in subjects at the interface of complex differential geometry, geometric analysis, and algebraic and arithmetic geometry.

Mini-course speakers:

• Dan Abramovich, Brown University
• Benoît Claudon (to be confirmed), Université de Rennes
• Hélène Esnault, Freie Universität Berlin
• Philippe Eyssidieux, Université Grenoble-Alpes
• Robert Lazarsfeld, Stony Brook University

The Annual International Conference of the Georgian Mathematical Union was established in 2010 and has been held traditionally at Batumi Shota Rustaveli State University. Batumi is the city of Georgia and the capital of the Autonomous Republic of Adjara. It is located along the coast of the Black Sea in the southwest region of Georgia. In accordance with recent developments, the conference has been conducted in a hybrid format since 2021. The purpose of the conference is to bring together mathematicians from various fields to present their original research results and provide opportunities to establish new connections within the fields of pure and applied mathematics, as well as science, engineering, and technology. The conference also provides valuable networking opportunities for you to meet great personnel in these fields.

The conference sections: Algebra and Number Theory; Differential and Integral Equations, and Their Applications; Geometry and Topology; Logic, Language, Artificial Intelligence; Mathematical Education and History of Mathematics; Mathematical Logic and Discrete Mathematics; Mathematical Modeling and Numerical Analysis; Theoretical Physics; Probability Theory and Statistics, Financial Mathematics; Real and Complex Analysis.

Y-RANT is aimed at early-career researchers in number theory and provides a friendly and supportive environment to present your work, share ideas, and connect with other young researchers. The programme primarily consists of contributed talks by participants, and we strongly encourage participants to give a talk about their interests/research.

The aim of the summer school is to bring together early career researchers working in motives (in a broad sense) and neighbouring areas (including but not limited to algebraic geometry and number theory), who want to learn more about the subject and its applications.

The event will consist of four mini-courses. There will be an introductory course:

• Introduction to motives (Alexander Vishik);

and three topic-focused courses on the following themes:

• Motives in algebraic geometry and moduli theory (Victoria Hoskins);
• Applications of motives to number theory and periods (Francis Brown);
• Introduction to (motivic) tensor-triangular geometry (Martin Gallauer).

We will also feature a handful of contributed research talks from participants.

We kindly thank our sponsors for supporting this event:

• Heilbronn Institute for Mathematical Research;
• UKRI/EPSRC Additional Funding Programme for Mathematical Sciences;
• Foundation Compositio Mathematica;
• K-Theory Foundation.

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/.

The conference will focus on two primary thematic pillars:

Modular curves and Galois representations attached to elliptic curves.

Applications of Artificial Intelligence to Number Theory.

see conference website

This series of 6 lectures introduces the key ideas of anabelian geometry, focusing on how arithmetic and geometric objects can be reconstructed from their associated Galois or fundamental groups. Starting with the arithmetic of the étale fundamental group and the example of the projective line minus three points, the series illustrates how discrete invariants, such as inertia and decomposition groups, can be recovered using group-theoretic methods.

The lectures then develop reconstruction techniques for fields and curves, including Uchida-style field reconstruction using tools from class field theory, as well as Tamagawa’s approach to the anabelian geometry of affine curves. The program concludes with topics in absolute and mono-anabelian geometry, covering methods for reconstructing p-adic fields, cyclotomic data, and invariants arising from p-adic Hodge theory.

One lecture is dedicated to explore how aspects of these ideas can be explored into Lean's formalized mathematical setting.

Lecturers: B. Collas (RIMS, JP), K. Sawada (RIMS, JP) & S. Tsujimura (RIMS, JP)

※ This event is part of the special year ``Arithmetic, Homotopy, and Geometry 2027-28''.

Homotopic methods have deepened our understanding of rationality phenomena, from rational obstructions (non-abelian Chabauty, section conjecture, Brauer–Manin) to estimates in dimension growth and height estimates (IUT, Heath-Brown-Serre conjecture, Batyrev-Manin conjecture, Malle conjecture) and non-rationality (Hilbert specialization property).

Moduli situations (Hurwitz spaces and SL2-torsors) provide new contexts for geometry and arithmetic to interact. Anabelian algorithms reveal new structures (e.g., monoids and quasi-tripods) and new models for central objects of number theory (e.g., BGT subgroups wrt the absolute Galois group of rational numbers).

In addition to reporting on the overall progress on these themes, this conference will illustrate how the homotopy approach shapes new interfaces with algebraic geometry (e.g., Berkovich analytic geometry or Diophantine geometry) and number theory (revisiting of classical programs such as Ihara’s and Greenberg’s on abelian varieties and Jacobians).

Scientific committee: B. Collas (RIMS, JP), P. Dèbes (Lille, FR), C. Demarche (IMJ-PRG, FR), A. Fehm (TU Dresden, DE) & S. Mochizuki (RIMS, JP)

※ This event is part of the special year ``Arithmetic, Homotopy, and Geometry 2027-28''.

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.

Numerous arithmetico-geometric invariants of spaces have been defined and characterized through the homotopic Galois action. The study of these invariants has driven significant progress in both the diophantine study of abelian varieties through their Tate module and in anabelian geometry as a whole. An important theme in both settings is how the constraints imposed by the Galois action have led to finiteness results - for example the different proofs of Mordell's conjecture.

This workshop focuses on the recent developments surrounding such invariants, with a particular emphasis on the Rasmussen-Tamagawa conjecture. The participants are encouraged to discuss related subjects during the workshop.

Keywords: Diophantine properties, abelian varieties, anabelian properties, Galois action, section conjecture, heavenly property, Rasmussen-Tamagawa conjecture.

※ This event is part of the special year ``Arithmetic, Homotopy, and Geometry 2027-28''.

The program will highlight both foundational developments, and new directions at the crossroads of multiple areas, such as arithmetic dynamics, complex degenerations, K-stability, tropical geometry, and anabelian geometry.

The aim is to encourage exchanges across these closely related areas and to promote new interactions within the growing community interested in homotopical and analytic methods in arithmetic geometry.

Organizers: E. Lepage (IMJ-PRG, FR), J. Poineau (Caen, FR)

※ This event is part of the special year ``Arithmetic, Homotopy, and Geometry 2027-28''.

This workshop aims to bring together experts in the field to share their recent results on cutting-edge topics. Key topics include homological stability for Hurwitz spaces and the stacky perspective on counting problems. The workshop will also cover motivic approaches to counting and the new challenges of generalizing classical results to the wild case. We encourage participants to discuss ways to unify these ideas for further development.

Keywords: Hurwitz spaces (Homological stability), Malle's conjecture (for function fields), Rational points of stacks, Brauer-Manin obstruction (for stacks), Wild Galois extensions of function fields and power series fields (counting results, moduli spaces), Motivic counting of Galois extensions.

This event is part of the special year "Arithmetic, Homotopy, and Geometry 2027-28".

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