This Thematic Month aims to cover topics related to singularity theory of algebraic or analytic spaces, algebraic study of differential equations, and their applications to questions of transcendence. This 5-week program covers different themes that are often not closely related. One of the main objectives is to make them interact. To encourage participants (especially the youngest ones) to attend the entire month and foster interactions outside each one’s expertise zone, the scientific program of each week of the month will consist of courses accessible to non-experts, as well as more specialized presentations. This month will consist of five successive weeks: – Logarithmic and non-archimedean methods in Singularity Theory. The first week will focus on recent results based on methods in logarithmic geometry and non-archimedean geometry in singularity theory. – Foliations, birational geometry and applications. The second week will cover topics in birational geometry, including singularity resolution, MMP (Minimal Model Program), algebraic foliation theory, and local holomorphic dynamics. – Tame Geometry. The third week will address tame geometry in various forms: o-minimality, transseries, Hardy fields, non-archimedean analogs of tame geometry, and their applications to number theory. – Galois differential Theories and transcendence. The fourth week is devoted to differential Galois theory and its applications to questions of functional transcendence and number theory, as well as the study of periods and E and G-functions. – Enumerative combinatorics and effective aspects of differential equations. The last week is dedicated to enumerative combinatorics and certain effective aspects of differential equations, especially applications in enumerative combinatorics of techniques presented in the previous week, or as effective results on topics covered in the preceding weeks.

The workshop is aimed at algebraic and arithmetic geometers curious about the potential application of model theory in their research, as well as at model theorists who are keen to learn how their tools may be extended to answer questions of geometric interest.

K-stability is a central topic in modern complex geometry. It characterises Fano manifolds that admit a Kähler-Einstein metric and provides a good notion of compact moduli space for Fano varieties. The winter school will bring together experts on K-stability who will give 3 mini-courses for PhD students and young researchers with a special focus on explicit problems in dimensions two and three. Along with lecture courses, there will be exercise sessions.

The speakers for the mini-courses are: Hamid Abban (University of Nottingham), Thibaut Delcroix (Université de Montpellier), Elena Denisova (University of Edinburgh), Ruadhaí Dervan (University of Glasgow), Kristin DeVleming (University of San Diego), Erroxe Etxabarri Alberdi (University of Warwick), Kento Fujita (Osaka University), Eveline Legendre (Université de Lyon).

Organising committee: Ivan Cheltsov, Liana Heuberger, Frédéric Mangolte

Scientific committee: Carolina Araujo, Sébastien Boucksom, Simon Donaldson, Chenyang Xu

Speakers:

 Charlotte Chan
 Jessica Fintzen
 Florian Herzig
 Tasho Kaletha 

The conference will feature two mini-courses, research talks, and an opportunity for the graduate students to present their work in a poster session, as well as a career panel. Through this conference, we hope that the graduate students and postdocs will see a broader spectrum of mathematics that are not necessarily available to them in their own institution, and we ultimately hope to build a strong community of number theorists and algebraic geometers in the Midwest. We will provide travel and hotel support to as many participants as possible. The registration form is available at magnts.org.

Women In Number theory and Geometry (WINGs) 2025 is the fifth 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 Mercure Haydock Hotel from March 31st to April 3rd 2025. Accommodation and meals will be provided for all participants.

Speakers include: Sara Angela Filippini (Università del Salento) Ailsa Keating (University of Cambridge) Margarida Melo (Università Roma Tre) Eugenia Roșu (Universiteit Leiden) Rosa Winter (UniDistance Suisse) In addition, there will be two talks about opportunities beyond academia, including one by a speaker from Journal of Number Theory. There will also be social activities to encourage interaction between participants, a session of lightning talks, and 20-minute talks given by participants, in the aim of learning about each other’s research interests and practising presentation skills. You can apply here until February 9th 2025. We aim to give you a response by the end of the following week. For updates and further information, please see our website and if you have any questions, don’t hesitate to contact us at [email protected].

The school and workshop will be devoted to the most diverse aspects of group theory and geometry in their broadest sense (including algebraic geometry and neighboring fields).

1) The conference "Groups and geometry" between April 6-11, 2025.

https://erdoscenter.renyi.hu/events/groups-and-geometry-workshop

Speakers:

Nir Avni, Gregorio Baldi, Mladen Bestvina, Emmanuel Breuillard, Serge Cantat, Thomas Delzant, Philippe Eyssidieux, Damien Gaboriau, Tsachik Gelander, Thomas Koberda, Julien Marché, Sam Mellick, Beatrice Pozzetti, Andrew Putman, Pierre Py, Nick Salter, Alex Suciu, Slobodan Tanusevski, Tianyi Zheng.

2) The school "Groups and geometry" between March 31 and April 5, 2025.

https://erdoscenter.renyi.hu/events/groups-and-geometry-school

The school will feature four series of lectures by Andrew Putman, Pierre Py, Michael Chapman and Jean Rainbault. The main target audience for the school preceeding the conference are PhD students and postdocs.

Both events are organized at the Erdős Center affiliated with the Rényi Institute of Mathematics and will take place in the main hall of the Rényi Institute in the heart of Budapest.

The school and the conference are supported by the ERC Advanced Grants of Gavril Farkas and Bruno Klingler. For the school support for young participants is available and the application procedure is described on the website above.

The deadline for registration is February 15th.

With our best regards,

Miklós Abért, Gavril Farkas, Bruno Klingler.

The goal of this workshop is to present a panorama of hot topics, and their recent progress, in arithmetic geometry (incl. p-adic Hodge theory, Shimura varieties and their cohomology, L-functions, Berkovich spaces, homotopy and anabelian geometry, Galois theory, condensed mathematics, vanishing cycles, motivic theory, birational geometry,...). Talks will include introductory presentations for graduate students and for PhD researchers.

This is a graduate student workshop on discrete groups in topology and algebraic geometry. This includes topics like fundamental groups of varieties and mapping class groups. This is the second week of a three week long thematic program. The conference the following week may also be of interest to graduate students.

This is a conference on discrete groups in topology and algebraic geometry, which includes topics like fundamental groups of varieties and mapping class groups. This is the third week of a thematic program on the topic.

The 32nd edition of Géométrie Algébrique en Liberté (GAeL) will be hosted by the Institut de Mathématiques de Toulouse from June 16-20, 2025. The deadline for applications is March 2, 2025, and the application form can be found on the website.

The GAeL conferences are a series of annual meetings organised for and by young researchers in algebraic geometry (PhD students and young postdocs). The objective is not only to introduce the participants to subjects that are likely to be of relevance in the forthcoming years, but also to encourage them to actively participate in the mathematical community at an early stage of their career. Each year we invite 3 senior lecturers to give 4 hour mini courses. The rest of the talks are chosen from among the junior participants and are often the first opportunity people get to speak in front of an international audience. We try to keep the atmosphere very friendly and inclusive.

The senior speakers in 2025 will be:

Ada Boralevi (Polytechnic University of Turin)

Talk: Spaces of matrices with rank conditions and more

Tyler Kelly (Queen Mary University of London)

Talk: A guided tour into the mirror

Daniel Loughran (University of Bath)

Talk: Stacks in birational geometry and number theory

In recent years, there has been an explosion of activity surrounding algebraic points on curves, from many different perspectives. These include the study of measures of irrationality, isolated and parametrized points, computational methods to determine algebraic points, and the arithmetic statistics of algebraic points. In this workshop, we aim to bring together researchers from these diverse perspectives, with the particular goal of developing bridges between them. The workshop will include overview talks on the various perspectives, research talks, an open problem session, and structured time for collaboration.

The René 25 conference's purpose is to celebrate the research interests of René Schoof.

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 Algorithmic Number Theory Symposium (ANTS) is the premier international forum for the presentation of new research in computational number theory and its applications, devoted to algorithmic aspects of number theory and related fields, including elementary number theory, algebraic number theory, analytic number theory, the geometry of numbers, arithmetic geometry, finite fields, cryptography, and coding theory.

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.