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.

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)

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.

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.

Conference in honor of Alexander Kechris, focusing on Descriptive Set Theory and its applications to other fields of mathematics.

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.

For further information, please visit the website

The nineteenth annual Binghamton University Graduate Combinatorics Algebra and Topology Conference (BUGCAT Conference) will meet November 21-22, 2026 at Binghamton University. Graduate students at all levels, as well as faculty, are invited to give a 20-minute talk; talks may be expository or on current research. This year, we have three distinguished keynote speakers: Casey Donoven (Montana State University Northern), Ben Knudsen (Colorado State University) and Pablo Soberón (City University of New York).

This workshop is sponsored by AIM, NSF, and the Simons Foundation. This activity, which is a part of the New Structures in Low-dimensional topology collaboration, will be devoted to developing an approach to q-series invariants of 3-manifolds and knots via 2-representation theory. Verma modules play a key role in the construction of an analogue for a generic parameter q of the Reshetikhin-Turaev invariants. The workshop will consider the categorification of Verma modules constructed by Naisse-Vaz, their duals and tensor products, as well as braidings and traces. The goal is to apply these constructions to 3-dimensional topology and relate them to known invariants.

Main topics for the workshop are:

• determination of tensor products of 2-Verma modules, braidings and traces
• relation with the Dupont-Naisse construction
• extension to the case of tensor products of 2-Verma modules and their duals
• construction of homological invariants of particular knots and 3-manifolds

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 three day crash course into the OSCAR computer algebra system at TU Berlin, a week before the SIAM AG 2027 in Osnabrueck, focusing on topics around applied algebraic geometry. Both beginners and experienced programmers are welcome!

For beginners, the first two days will cover the basics of programming in Julia and OSCAR. For experienced programmers, the first two days will cover advanced topics such as the internals of OSCAR. The final day will feature parallel tracks dedicated to specialized topics, such as:

• algebraic statistics
• polynomial system solving
• tropical geometry
• etc

We expect funding to be available to support early career researchers. More info to come. If you are interested and want to be kept in the loop, please contact the organizers.