The next installment of URiCA, Upcoming Researchers in Commutative Algebra (previously KUMUNU Jr), will take place on May 3rd and 4th at the University of Nebraska-Lincoln. The goal of this conference is to showcase research done by graduate students and postdocs and promote interaction among junior researchers in commutative algebra. There will be seven 50-minute invited talks as well as a poster session and a call for collaboration/open problem session. Please use the links below to register and note the registration deadline for funding is March 23rd.

List of invited speakers:

Bek Chase (Purdue University)

Caitlin Davis (University of Wisconsin-Madison)

Karthik Ganapathy (University of California, San Diego)

Nawaj KC (University of Nebraska-Lincoln)

Feiyang Lin (University of California, Berkeley)

Anastasia Nathanson (University of Minnesota Twin Cities)

Xianglong Ni (University of Notre Dame)

Please don't hesitate to contact the organizing team with any questions.

We really hope to see you at the conference!

Conference Homepage

Registration Link

09E2IhYGzxDAj5qWgthnnvYiYlTZazt3ZE4w/viewform

The 2025 Georgia International Topology Conference https://topology.franklinresearch.uga.edu/2025GITC will take place May 19 - May 30, 2025 at the University of Georgia in Athens, Georgia. This will be the ninth in a series of octennial conferences at the University of Georgia that started in 1961.

We ask all participants to register at the website.

Speakers: Mohammed Abouzaid (Stanford), Ian Agol (UC Berkeley), Daniel Alvarez-Gavela (Brandeis), John Baldwin (Boston College), Rachael Boyd* (University of Glasgow), Roger Casals (UC Davis), Julian Chaidez (University of Southern California), Dan Cristofaro-Gardiner (University of Maryland), Oliver Edtmair (ETH Zurich), Tobias Ekholm (Uppsala University), Joshua Greene (Boston College), Pazit Haim-Kislev (IAS), Jonathan Hanselman (Princeton), Kristen Hendricks (Rutgers), Amanda Hirschi (Sorbonne Université), Ko Honda (UCLA), Bruce Kleiner (NYU), Hokuto Konno (University of Tokyo), Danica Kosanović (ETH Zurich), Marc Lackenby (Oxford), Joan Licata (Australian National University), Beibei Liu (Ohio State University), Bruno Martelli (Università di Pisa), Thomas Massoni (MIT), Maggie Miller (UT Austin), Allison Miller (Swarthmore College), Jin Miyazawa (Kyoto University), Lisa Piccirillo (UT Austin), Mark Powell (University of Glasgow), Alan Reid (Rice University), Semon Rezchikov (Princeton), Laura Starkston (UC Davis), Matt Stoffregen (Michigan State University), Luya Wang (IAS), Michael Willis (Texas A&M), Ian Zemke (University of Oregon) * to be confirmed

Scientific Committee: Danny Calegari (University of Chicago), David Gabai (Princeton), Ursula Hamenstädt (University of Bonn), Robert Lipshitz (University of Oregon),Rachel Roberts (Washington University), Paul Seidel (MIT), András Stipsicz (Alfréd Rényi Institute of Mathematics), Ulrike Tillmann (Oxford)

Local Organizers: Akram Alishahi, Eduardo Fernández Fuertes, David Gay, Peter Lambert-Cole, Gordana Matic, Mike Usher

Hello everyone,

We are delighted to announce the Talbot Workshop 2025, mentored by Alexander Kupers and Nathalie Wahl! Please see below for the details of the workshop and a link to the application.

Please share this message with anyone you think would benefit from attending.

Best regards, The Talbot Workshop organizers (Maxine Calle, Alex Karapetyan, and Eunice Sukarto)

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2025 Talbot Workshop: Homological Stability Mentored by: Alexander Kupers and Nathalie Wahl Dates: May 26 - June 1, 2025 Location: TBA, but somewhere in the US

Application link: https://forms.gle/KaStAZurFQ5LDB1z5 Application deadline: Feb 2, 2025 More details can be found on the website: https://sites.google.com/view/talbotworkshop/home

What: The Talbot Workshop is a one week learning workshop for roughly 35 graduate students and a few postdocs. Most of the talks will be given by participants, and will be expository in nature.

Topic description: Many groups and spaces come in families depending on a parameter: configuration spaces depend on the number of points considered, mapping class groups of surfaces on the genus of the surface. For such families, it often happens that the homology stabilizes as this parameter goes to infinity. Moreover, computing the stable homology frequently turns out to be easier because other tools can be used. In recent years, combining homological stability results with stable computations has become a powerful tool in algebraic topology and robust machinery for proving homological stability theorems has been developed. In this workshop we aim to introduce the participants to this circle of ideas.

Outline: This workshop will explain how to prove homological stability results through examples, such as symmetric groups, configuration spaces, mapping class groups, and others, and how to use them in conjunction with stable computations. The homological stability machines that we will cover are Quillen’s classical inductive approach and a more recent approach using Ek-algebras. Both machines have as input connectivity results for simplicial complexes and we will also see how such results are proved.

Background: The workshop will be aimed towards graduate students with a basic understanding of algebraic topology, including spectral sequences and classifying spaces.

Talbot is meant to encourage collaboration among young researchers, with an emphasis on graduate students. We also aim to gather participants with a diverse array of knowledge and interests, so applicants need not be an expert in the field -- in particular, students at all levels of graduate education are encouraged to apply. As we are committed to promoting diversity in mathematics, we especially encourage women, minorities, and underrepresented groups in mathematics to apply.

If you have any questions, please do not hesitate to email the organizers at talbotworkshop (at) gmail (dot) com.

GTA Philadelphia 2025 is the 10th annual Graduate Student Conference in Algebra, Geometry, and Topology (GSCAGT), to be held on-campus at Temple University in Philadelphia from Friday, May 30 to Sunday, June 1, 2025. This conference aims to expose graduate students in algebra, geometry, and topology to current research, and provide them with an opportunity to present and discuss their own research. It also intends to provide a forum for graduate students to engage with each other as well as expert faculty members in their areas of research. Most of the talks at the conference will be given by graduate students, with four given by distinguished keynote speakers. This event is sponsored by the Temple University Graduate School, Temple University Department of Mathematics, and the NSF.

Keynote Speakers

• Samit Dasgupta, Duke University
• Marissa Loving, University of Wisconsin
• André Arroja Neves, University of Chicago
• Tian Yang, Texas A&M University

To register and get more information, see: https://cst.temple.edu/department-mathematics/events/gscagt-2024/gcsagt-2025

The summer school is aimed at graduate students in low-dimensional topology. The goal is to make students familiar with the novel techniques in the field that have led to recent advances in our understanding of four-dimensional manifolds.

The program will consist of four mini-courses of 5 lectures each, all accompanied by discussion sessions:

1. Skein lasagna modules (by Mike Willis and Melissa Zhang)
2. Real Seiberg-Witten theory (by Hokuto Konno and Ian Montague)
3. Kontsevich invariants from configuration spaces (by Jianfeng Lin and Danica Kosanovic)
4. Lefschetz fibrations and closed exotic 4-manifolds (by Andras Stipsicz and Zoltan Szabo)

The Conference aims to create a forum for Vietnamese and international researchers to present their newest scientific achievements; to provide opportunities for students and young researchers to be exposed to current research as well as to meet specialists in the field.

The closing conference of ANR JINVARIANT will be held in Bordeaux, at the Institut de Mathématiques de Bordeaux, on June 4–6, 2025. This will also be the opportunity to celebrate our friend and colleague Yuri Bilu and his work on the occasion of his 60th birthday. The conference will center around: the j-invariant function and singular moduli, modular curves, integral points, Diophantine equations.

This conference has been organized around the general trend of application of geometrical ideas in mechanics, physics and biology. The emphasis is on concrete applications and modern developments in the respective fields. An overall idea is to provide a forum for an exchange of information, ideas and inspiration and further development of the international collaboration.

This conference is addressed to mathematicians and mathematical physicists interested in contemporary mechanics, physics and biology and associated mathematical questions. The application of differential geometry to find new results on manifolds, relativity, hypersurfaces, N-body problem, gauge fields, geometric quantization, rotational sequences, minimal surfaces, biophysical systems, coherent states, Dirac and Seiberg-Witten monopoles, rigid body dynamics, Toda chains dynamics, geometric algebra, Kähler calculus, thermodynamics, etc. The meeting allows participants coming from different fields to share and to interchange geometrical ideas among them with the leading role of differential geometry. The contributions presented at the conference will be invited to be submitted to the series on Geometry, Integrability and Quantization or to the Journal of Geometry and Symmetry in Physics.

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.

Conference Quasiweekend III - Twenty years on collects together experts, from all fields of mathematics, using quasiconformal methods, especially in complex dynamics, geometric function theory, geometric group theory, analysis on metric spaces. Previous conferences in this series, Quasiweekend and Quasiweekend II – Ten years after, took place in 2005 and 2015, respectively, in Helsinki. With Quasiweekend III we celebrate mathematical legacy of Juha Heinonen -- initiator of this conference series -- in the broad field of quasiconformal analysis.

The conference will consist of several research talks on topics of current interest in low dimensional topology, including four-manifolds, knot invariants, categorification, gauge theory, and connections to physics.

Confirmed conference speakers: Mina Aganagić, UC Berkeley Aleksei Andreev, U. Zurich William Ballinger, Harvard Inanc Baykur, U Mass Amherst Valentina Bias, SISSA Trieste Eugene Gorsky, UC Davis Matthew Hogancamp, Northeastern Sungkyung Kang, Oxford Marc Lackenby, Oxford Jiakai Li, Harvard Cristina Palmer-Anghel, U. Leeds Qianhe Qin, Stanford Qiuyu Ren, UC Berkeley Alexander Schmidhuber, MIT Masaki Taniguchi, Kyoto University Laura Wakelin, King's College Paul Wedrich, U. Hamburg

The workshop programming begins at 9:00 a.m. on Thursday, June 12, and ends at noon on Saturday, June 14. Each day there will be a one-hour lecture by Principal Speaker Danny Calegari as well as contributed talks by participants. The program is designed so there will be ample time for informal networking among participants. The workshop ends with a problem session at noon on Saturday.

The 42nd Annual Workshop in Geometric Topology is supported by the National Science Foundation grant no. 2350374. Financial support may be available to cover partial travel and living expenses of participants who do not have other funding for their research. Such support can be requested on the conference website. To receive full consideration, requests for support should be submitted by April 20, 2025. Graduate students and recent PhDs in geometric topology are especially encouraged to apply. Requests for contributed talks should be submitted by May 20, 2025.

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

Chromatic homotopy theory decomposes stable homotopy theory into an infinite sequence of periodic strata, each of which has the potential to be completely computable. These ideas were made precise by the Ravenel Conjectures, which were famously solved by various combinations of Devinatz, Hopkins, Smith, and Ravenel in the decade which followed, except for one: the Telescope Conjecture. This conjecture eluded resolution until 2023, when it was shown to be false by Burklund-Hahn-Levy-Schlank. The disproof involved the discovery of a new and unexpected interface between algebraic K-theory and chromatic homotopy theory which augmented an existing and growing understanding of relationship between these two subjects as witnessed by the Quillen-Lichtenbaum Conjecture, Thomason's Descent Theorem, and the Rognes Redshift Conjecture.

The aim of this workshop is to address the question "what next?". We aim to explore this question narrowly (what does the failure of the telescope conjecture say about v_n-periodic homotopy groups?) and broadly (what are the next horizons for homotopy theory/algebraic topology/K-theory now that this major problem has been solved?). The goal of the workshop is to bring together researchers in chromatic homotopy theory, algebraic K-theory, and a variety of other neighboring areas to address these questions.

Travel support is available for US based participants thanks to the National Science Foundation.

Application details Deadline for applications: 30 Mar 2025

The goal of this conference is to bring together experts from algebraic and arithmetic geometry on the one hand and étale and stratified homotopy theory on the other. There will be a mini-course on each side to get people up to speed, as well as research talks covering recent developments on étale cohomology, étale homotopy, and related topics.

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.

Join us for a five-day workshop hosted by UT Austin, with support from the NSF. Mornings will be dedicated to talks, and in the afternoons, participants will work in small groups on open problems related to connections between 4-manifold trisections and diffeomorphism groups. The workshop will be preceded by introductory mini-courses on Zoom taking place on June 18 and June 20. Participants may register for either or both workshop components. The workshop will conclude at noon on Friday, 6/27. Participation is by application, and the priority deadline for funding is April 7.

We are pleased to announce the workshop "Geometry over Semirings 2025" on July 7-11 at the Universitat Autònoma de Barcelona.

In this workshop, experts and young researchers will come together to share recent progress and collaborate on open questions related to tropical geometry, geometry over the field of one element, blueprints, and related questions.

There will be talks by

• Ana Maria Botero
• Geffrey Giansiracusa
• Oliver Lorscheid
• Martin Ulirsch
• Xavier Xarles

and young participants.

You can get more information and register for the workshop here: https://mat.uab.cat/~masdeu/geometry-over-semirings/. There is a limited amount of funding for accommodation for early career participants; you can request funding when registering.

The organizers: Joaquim Roé, Marc Masdeu

This conference aims to bring together early career researchers in geometric group theory, arithmetic geometry and analysis of PDEs, who will also 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, including:

Caterina Campagnolo (Autonomous University of Madrid), Bianca Marchionna (Heidelberg University), Maria Rosaria Pati (University of Genova), Hanneke Wiersema (University of Cambridge), Camilla Nobili (University of Surrey), Mikaela Iacobelli (ETH Zürich), Lara Gildehaus (University of Klagenfurt).

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

Everyone - not only women! - is welcome to participate! You can on our website! Limited fundings for travel and accommodation are available. The deadline for contributed talks and financial support is April 30th 2025.

More info and details on the structure of the conference can be found at our website. If you have any questions, don’t hesitate to contact us at [email protected].

The conference will reflect current developments in motivic homotopy theory and its applications in arithmetic geometry and geometric representation theory. It aims to bring together experts from these fields to facilitate the exchange of ideas in a collaborative and engaging environment.

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

Mini-Courses by Dima Arinkin and Linus Hamann.

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 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.

This workshop, sponsored by AIM and the NSF, will be devoted to new developments in wall-crossing for enumerative invariants of abelian categories, with a focus on identifying promising applications.

This workshop, sponsored by AIM and the NSF, will be devoted to new developments in wall-crossing for enumerative invariants of abelian categories, with a focus on identifying promising applications.

For more information, please consult the conference web page:

The workshop focuses on the interplay between 3-manifold topology and geometry, the study of 3-manifold groups, and character and representation varieties, with connections to computational topology and theoretical computer science. Related topics are also welcome! This two-day event will feature introductory lectures, in-depth research talks, lightning talks, and dedicated discussion sessions. Our goal is to foster a stimulating environment by bringing together participants at various career stages, along with many local researchers.

This workshop, sponsored by AIM and the NSF, will be devoted to recent advances in computing the stable homotopy groups of spheres. The last 10 years have seen significant progress in this area, driven first by applications of motivic homotopy theory and then more recently by the invention of synthetic/filtered spectra, which generalizes motivic techniques. Last year, Weinan Lin, Guozhen Wang, and Zhouli Xu significantly extended the known range of stable homotopy groups and used these computations to resolve the remaining case of the Kervaire Invariant One problem, which has remained open for about 60 years. This workshop will focus on the advances that made these computations possible, especially those involving machine computations and synthetic techniques, and look for applications of these new techniques, for example to the equivariant slice spectral sequence.

This workshop, sponsored by AIM and the NSF, will be devoted to non-Archimedean methods in complex geometry. The main topics for the workshop are: K-stability and canonical metrics, Degenerations of Calabi–Yau manifolds and the SYZ Conjecture, and Algebro-geometric and tropical aspects of degenerations.

This workshop, sponsored by AIM, the NSF, the Topos Institute, and the US NSF Center for Analysis and Prediction of Pandemic Expansion, will consider how category-theoretic foundations for modeling as decision support for multidisciplinary collaboration might advance insights into pandemic science. Multidisciplinary modeling is extremely useful and also extremely difficult (for many reasons). By taking the very concept of "building a model" as itself a sort of model, and phrasing this in the formal mathematical language of (double) category theory, we can develop systems that greatly improve our capabilities for collaborative modeling.

The workshop will bring together a wide range of research communities: category theory, software engineering, dynamical systems, data science, epidemiology, infectious disease modeling, medical geography, behavioral psychology, social and urban networks, and economics.

Thematic Month on the Langlands program

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.