International Conference Dedicated to the Completion of the PNRR Project CF44/14.11.2022

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.

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.

The invited speakers are:

• Takuro Abe (Rikkyo University)
• Enrique Artal Bartolo (Universidad de Zaragoza)
• Karin Baur (Ruhr-Universität Bochum)
• Valentina Beorchia (Università di Trieste)
• 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)
• Catherine Meusburger (Universität Erlangen-Nürnberg)
• 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)

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.

Around 60 years ago, pseudodifferential operators were introduced as a tool for singular integral and elliptic problems in PDE. They quickly became relevant due to their usefulness, exemplified by their role in the Atiyah–Singer index theorem. In the subsequent years, the theory has found new depths and domains of application, and is today very much alive, in particular in the context of singular analytical and geometrical structures.

The goal of this conference is to bring together experts and young researchers from various backgrounds who are interested in the use of pseudodifferential operators in singular settings to discuss their recent projects and results, and foster the communication between the diverse perspectives on the topic.

The ATSF 2026 Conference is the 9th event of the Approximation Theory and Special Functions (ATSF) series. The conference aims to bring together researchers working in approximation theory, special functions, numerical analysis, and related areas, fostering interaction between theoretical developments and applications.

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.

A fundamental problem in a wide range of disciplines is understanding how functional complexity at a macroscopic scale results from the actions and interactions among the individual components. Animal groups such as insect swarms, fish schools and bird flocks frequently display coordinated behaviours that result from individual interactions. The resulting collective movement is observed across different scales, from cells forming biological tissues to fish schools moving in synchrony. This also constitutes a challenge for the mathematical modelling and analysis of these systems.

The Workshop will provide the opportunity for established specialists in collective behaviour from a mathematical, biological, and physical perspective to present their most recent work. Ample scope will be provided for interactive discussions to identify possible collaborative or independent projects that further develop the techniques and extend the applications.

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.

A conference on the occasion of Annette Werner's 60th birthday

Mini-courses by Javier Fresán, Peter Jossen, Claude Sabbah, Swann Tubach.

Rational curves on Calabi-Yau threefolds have received enormous attention since the eighties. A driving force has been the Clemens conjectures, which concern the finiteness of curves with fixed degree on the generic quintic threefold, their $(-1, -1)$-normal bundle, and their smoothness. These conjectures have inspired many developments in enumerative geometry, deformation theory, Hodge theory, and differential geometry.

This one-week conference and school aim to bring together researchers and students working in Hodge theory, singularities, enumerative geometry and differential geometry. We will discuss the recent introduction, solution, and consequences of the log Clemens conjectures as in (arXiv:2601.11813). The event will serve as a starting point for future progress in the relative Clemens program, exploring the wider settings where these conjectures are valid and expanding the applications of their solutions.

The international scientific conference organised by the Kaunas University of Technology (KTU) and the Georg-August-Universität Göttingen (Germany) is dedicated to the memory of Professor Dr. Hermann Minkowski. The conference will be held on September 23-25, 2026 in the historic Aula, A. Mickevičius st. 37, Kaunas. The University of Lithuania was solemnly opened in this Aula in February 16 1922. Summaries of the accepted presentations will be published in an e-publication, which will have an ISBN. The selected papers of the Conference will be published in the Lithuanian Mathematical Journal, Editor-in-Chief Olga Štikonienė, https://link.springer.com/journal/10986. All papers will be peer-reviewed. The Special Issue will be coordinated by Guest Editors J. Brüdern, D. Bahns, M. Kopa and M. Ragulskis.

see conference website

Analysis and Geometry at the Crossroads

@University of Minho (Braga, Portugal) :: September 30 - October 2, 2026

This conference is conceived as a platform for sustained interaction between Analysis and Geometry, with particular emphasis on the structural, analytical, and geometric frameworks that connect these two areas of mathematics.

Rather than focusing on isolated topics, the meeting aims to encourage a broad exchange of ideas and methods, reflecting the diversity and depth of contemporary research at the interface of these fields.

A central goal of the conference is to bring together researchers at different stages of their academic careers. The programme will include contributions from doctoral students and early-career researchers working on topics related to Analysis and Geometry, as well as invited lectures by senior mathematicians of established international reputation.

This balance is intended to promote rigorous scientific discussion while also supporting the integration of younger researchers into the international research community.

The conference is open to the wider mathematical community with no registration fees.

Plenary Speakers:

Ilka Agricola, Philipps University of Marburg, Germany

Catalin Badea, University of Reading, UK

Miguel Brozos-Vásquez, University of Coruña, Spain

Viviana del Barco, State University of Campinas, Brazil

Persi Diaconis, Standford University, USA

Francisco Gancedo, University of Seville, Spain

Karl Grosse-Erdmann, University of Mons, Belgium

Ines Kath, University of Greifswald, Germany

Registration is now open.

July 15, 2026 — Deadline for contributed talks

September 17, 2026 — Deadline for posters and general participation

All information can be found on the conference website:

https://agcrossroads2026.keniercastillo.com

It is a pleasure to invite you to Advances in Modern Topology 2026, a conference dedicated to fostering cooperation and collaboration among researchers in Algebraic Topology, Algebraic Geometry, and their interdisciplinary applications.

This year’s edition will be held for the first time in the beautiful city of Podgorica, hosted at the prestigious Main Building of the Montenegrin Academy of Sciences and Arts.

Conference Details:

Location: Podgorica, Montenegro

Venue: Montenegrin Academy of Sciences and Arts

Website: https://tinyurl.com/MoTop2026

Invited Speakers include: Anthony Bahri, Djordje Baralić, Ulrich Bauer, Victor Buchstaber, Vladimir Dragović, Alexandar Gaifullin, Jelena Grbić, Shintaro Kuroki, Mikiya Masuda, Taras Panov, Petar Pavešić, Stephen Theriault, and Rade Živaljević. ( * to be confirmed )

Key Deadlines:

Registration Deadline: Friday, August 01, 2026

Abstract Submission Deadline: Friday, August 31, 2026

How to Register: Please complete your registration and abstract submission via the following form: https://forms.gle/Fk1rVbHeUYNRgwCN9

We look forward to welcoming you to Podgorica for what promises to be a stimulating scientific gathering. Should you have any questions, please feel free to contact the organizing committee at [email protected].

This international conference focuses on the interplay between modular forms, geometry, complex analysis, dynamical systems, and combinatorics. Modular forms encode deep arithmetic information through L-functions and Galois representations. Complex analytic methods (Bergman spaces, growth estimates, analytic continuation) investigate hyperbolicity in complex geometry. Dynamics such as Perron numbers and β‑expansions illustrate how symbolic dynamics encodes arithmetic information. Special functions (theta functions, hypergeometric series, orthogonal polynomials) and combinatorics serve as a bridge linking these areas.

The conference will start on Monday at 09:00 AM and ends Friday at 13:00, with a free afternoon on Wednesday. We expect to have 16 talks in arithmetic algebraic geometry and closely related fields. https://polvanhoften2.github.io/AAGHZ2026.htm

This conference (ICSOAA2026) is the sixth edition after the first in Settat (December 2005), the second in Marrakech (April 2008), the third in Marrakech (November 2011), the fourth in Marrakech (January 2015), and the fifth in Marrakech (January 2023). The conference covers various aspects of the theory of operator algebras. Main topics of the conference Banach -algebras and C-algebras Von Neumann Algebras Groupoid C*-algebras Non-commutative geometry Operator algebras and quantum information

For further information, please visit the website

This workshop will focus on geometric Sen theory, its connections to the p-adic Simpson correspondence, and applications to modularity. In addition to three mini-courses, the workshop will feature research talks on related recent developments in p-adic Hodge theory and p-adic geometry.

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.

The Faculty of Applied Mathematics at the AGH University of Krakow is organizing the second edition of the conference Dynamics, Equations and Applications (DEA). It will take place from 28 June to 2 July 2027, in Kraków, which is often regarded as one of the most exciting cities in Europe.

The conference will be organized in 16 parallel sessions covering four research fields: dynamical systems & ergodic theory, partial differential equations, number theory, and probability theory & stochastic processes, together with their interactions and applications, particularly in mathematical physics.

In addition to keynote and contributed talks within the parallel sessions, there will be 10 longer invited talks in each field given by the world's leading experts as well as plenary lectures delivered by Artur Avila, Alex Eskin, Ben Green, Martin Hairer, Adam Kanigowski, Jean-François Le Gall, Pierre-Louis Lions, Peter Sarnak, and Sylvia Serfaty.

More information (including scientific committee, main speakers and parallel sessions) about DEA 2027 can be found on its website http://www.dea.agh.edu.pl.

Aim

By bringing together the leading experts and promising young researchers and giving them the opportunity to present their latest results and their view on the field in general, we hope to provide a fertile basis for animated discussions. As a result, we hope to achieve a better understanding of the current state of the art and, more importantly, to identify and explore the most promising directions for future work.

Format

This is a workshop with about 40-45 participants. Participation is by invitation only. Every participant is expected to contribute actively to the success of the event, by giving talks and/or by taking part in the discussions. There will be two invited talks every morning (9:30-10:30 and 11:15-12:15); the afternoons will be available for shorter invited talks, discussions, informal talks and collaboration. Wednesday afternoon is free.

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