The interaction between topology and curvature is a fundamental theme in modern mathematics. The study of scalar curvature plays an increasingly important role not only in geometry and topology, but also in general relativity and theoretical physics more generally through the theory of Dirac operators. This special session will bring together experts and young researchers who study these topics from many different points of view. The aim of this session is to share viewpoints and progress on understanding the scalar curvature and topology of manifolds, and to establish new connections among the culturally diverse groups spread worldwide, but particularly in the USA.

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.

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

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.

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.

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.

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)

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.

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.