Gauge theory and string geometry have been at the forefront of mathematical and physical research for decades. Gauge theory, originating from physics, provides a framework for understanding fundamental forces and has inspired a range of mathematical advances. Notably, Donaldson’s work using gauge theory has led to significant progress in 4-manifold topology, and the development of Seiberg-Witten theory further refined our understanding of smooth 4-manifolds.

In parallel, string theory emerged as a candidate for unifying all known fundamental forces, leading to a deep interaction with mathematics. It inspired the concept of mirror symmetry, which reveals a duality between seemingly distinct Calabi- Yau manifolds and has motivated many developments in symplectic geometry and enumerative geometry.

The program will provide ample opportunities for participants to interact with experts, discuss open problems, and potentially initiate collaborations. We aim to foster an inclusive and interactive environment that encourages the exchange of ideas between researchers at different stages of their careers.

Gauge theory and string geometry have been at the forefront of mathematical and physical research for decades. Gauge theory, originating from physics, provides a framework for understanding fundamental forces and has inspired a range of mathematical advances. Notably, Donaldson’s work using gauge theory has led to significant progress in 4-manifold topology, and the development of Seiberg-Witten theory further refined our understanding of smooth 4-manifolds.

In parallel, string theory emerged as a candidate for unifying all known fundamental forces, leading to a deep interaction with mathematics. It inspired the concept of mirror symmetry, which reveals a duality between seemingly distinct Calabi- Yau manifolds and has motivated many developments in symplectic geometry and enumerative geometry.

The program will provide ample opportunities for participants to interact with experts, discuss open problems, and potentially initiate collaborations. We aim to foster an inclusive and interactive environment that encourages the exchange of ideas between researchers at different stages of their careers.

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.

Women In Number theory and Geometry Spring Retreat (WINGs) 2026 is the sixth 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 DoubleTree by Hilton Cheltenham-Cotswolds Hotel from April 13th to April 16th 2026. Accommodation and meals will be provided for all participants.

Speakers include: Nirvana Coppola (Università di Padova), Julie Desjardins (University of Toronto Mississauga), Paola Frediani (Università di Pavia), Jasmin Raissy (tbc, Université de Bordeaux), Melanie Rupflin (University of Oxford), and Lejla Smajlović (University of Sarajevo). In addition, there will be two talks about opportunities beyond academia. There will also be social activities to encourage interaction between participants, and 20-minute talks given by participants, in the aim of learning about each other’s research interests and practicing presentation skills.

One can apply via the form on the website, which will appear in the new year. Applications close on January 31st 2026. For updates and further information, please see our website and if you have any questions, don’t hesitate to contact us at [email protected].

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

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 the 2nd conference organized by the International Society of Nonlinear Mathematical Physics (ISNMP) which is located in Bad Ems, Germany. The conference aims to provide a platform for experts to report and discuss their research progress on all aspects of nonlinear mathematical physics, with a focus on integrable and exactly solvable systems. This time the conference will be held in memory of Wilhelm I. Fushchich on his 90th anniversary and in honour of Jarmo Hietarinta on the occasion of his 80th birthday.