Conferences  >  Mathematics  >  Geometry and Topology

The Hausdorff Research Institute for Mathematics (HIM)

Analytic questions of a discrete nature are ubiquitous in many areas of mathematics and theoretical computer science. The purpose of this conference is to bring together a diverse group of experts working, broadly, on Discrete Analysis with particular emphasis on questions having a geometric component. The topics will include Boolean analysis, vector-valued harmonic analysis, metric embeddings, geometry of graphs and groups, and aspects of discrete probability and theoretical computer science.

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The aim of the project is to reinforce the collaboration between scientists from austrian research institutions and international institutions around the topic of infinite dimensional geometry. Direct applications of the theoretical aspects of infinite dimensional geometry to numerical schemes for solving partial differential equations coming from hydrodynamics, as well as medical applications of shape analysis are part of the program. The programme will last five 5 weeks, each devoted to different topic ranging from abstract theoretical questions to very concrete applications (e.g. medical).

Courses and Events for Physics Students,    Mathematical Physics

Institute for Computational and Experimental Research in Mathematics (ICERM)

Given an incidence structure, one may model a variety of geometric problems. This Semester Program will revolve around two fundamental examples and their applications to modern challenges in the study, analysis, and design of materials. (1) Packings and patterns of circles where the underlying combinatorics are mixed with advanced geometric concepts and strong links are made to discrete differential geometry. (2) The rigidity and flexibility of bar-joint structures where real algebraic geometry is intertwined with sparse graph theory and matroidal techniques. A prime objective of the program is to advance the applicability of these topics to fundamental applications, most notably in statistical physics and materials science.

The program will integrate diverse fields of discrete mathematics, geometry, theoretical computer science, mathematical biology, and statistical and soft matter physics. Various workshops will be designed to attract both theoretical and applied practitioners and to stimulate the cross-fertilization of ideas between these disparate communities.

ICERM;     Email: info@icerm.brown.edu

Metallurgy and Materials Science,    Thermodynamics, Fluid Dynamics and Statistical Physics

Department of Pure Mathematics, University of Calcutta, India

International Conference on Pure Mathematics and its Applications (ICPMA-2025) aims to bring together several leading academicians and researchers from different corners of the world to exchange their knowledge and share their research outcomes. This conference intends to provide a platform, particularly for young researchers, to learn from the veterans and rejuvenate through the academic discussions with the experts of various fields of mathematics.

Convenor or Jt. Convenor;     Email: cupuremathseminar@caluniv.ac.in

Algebra, Differential Equations, Dynamical Systems and Nonlinear Analysis, Functional Analysis, Geometry and Topology, Graph Theory, Harmonic Analysis, Mathematical Logic, Measure Theory, Number Theory and Cryptography, Real and Complex Analysis.

Algebra,    Graph Theory and Combinatorics

The SCGAS is an annual conference on geometric analysis and related fields hosted jointly by UC Irvine and UC San Diego.

The 2025 SCGAS conference will feature the following speakers:

Simon Brendle (Columbia University)

Alice Chang (Princeton University)

Pengfei Guan (McGill University)

Lan-Hsuan Huang (University of Connecticut)

Christos Mantoulidis (Rice University)

Valentino Tosatti (New York University)

Ryan Unger (Stanford University)

Differential Geometry, Geometric Analysis

Analysis,    Calculus, Differential Equations and Integration

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

University of Potsdam

The meeting is part of a series of meetings initiated by Professor Schulze devoted to micro-local, singular and global analysis and their interactions with geometry and mathematical physics.

Analysis,    Mathematical Physics

Institute for Computational and Experimental Research in Mathematics (ICERM)

This workshop brings together researchers from three distinct streams of mathematics: the classical rigidity theory of bar-joint and tensegrity frameworks in combinatorics and discrete geometry; the theory of generalized circle packing that arose from the study of 3-manifolds in geometric topology, extending to sphere packing and jamming; and discrete differential geometry. A scattering of results in recent years has started to forge connections among these fields. The main aim of the workshop is to encourage their cross-fertilization, with particular emphasis on the rigidity of inversive distance packings. Participants will attend presentations on cutting-edge research and initiate new collaborations.

ICERM;     Email: info@icerm.brown.edu

Applied Mathematics (in general),    Metallurgy and Materials Science

Joint Research Center for Advanced and Fundamental Mathematics for Industry

Please join us to celebrate Stephan Stolz' retirement and topology and geometry in the Midwest!

Faculty of Mathematics at the Universität Regensburg

Algebra,    Analysis

Institute for Computational and Experimental Research in Mathematics (ICERM)

This workshop will be centered on recent advances in graph rigidity and interactions between rigidity, algebraic statistics, and matroid theory. Three major advances are the recent resolution of the matroid maximality conjecture, the newly developed link to maximum likelihood estimation in Gaussian graphical models, and the recent positive resolution of Lovasz and Yemini's connectivity conjecture for generic rigidity. The workshop will showcase a diverse sample of current work addressing fundamental problems in graph rigidity, algebraic matroids, and algebraic statistics.

ICERM;     Email: info@icerm.brown.edu

Celebrating Nick Kuhn's 70th birthday!

École Polytechnique Fédérale de Lausanne (EPFL)

The aim of this programme is to break new ground in the arithmetic theory of K3 surfaces and closely related varieties (e.g., Enriques and elliptic surfaces; hyper-Kähler varieties), capitalising on a web of recent advances and conjectural frameworks. Progress on the arithmetic of K3 surfaces will likely have important consequences for more general questions about Shimura varieties, abelian and hyper-Kähler varieties, their rational and algebraic points.

Number Theory, Arithmetic,    Courses and Events for Math Students and Early Career Researchers

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

WORDS 2025 will delve into various topics related to discrete structures and randomness, including but not limited to percolation, random graphs, and stochastic geometry. Participants will have the opportunity to discuss current trends, share research findings, and collaborate on innovative approaches to understanding random phenomena. The program will also leave ample time for in-depth discussions and networking among attendees.

CIRM – Centre International de Rencontres Mathématiques

The idea of making space noncommutative is probably as old as quantum mechanics, but it has developed considerably since the mid 80’s in various directions, from pure mathematics to theoretical physics, yielding some phenomenological predictions in high energy physics. The aim of this conference is the interplay between noncommutative geometry and physics.

Isaac Newton Institute for Mathematical Sciences

Algebra,    Courses and Events for Math Students and Early Career Researchers

Institute for Computational and Experimental Research in Mathematics (ICERM)

The geometric arrangement of a material’s constituents plays an important role in governing its behavior. Concepts from discrete mathematics to describe these geometric arrangements, including notions of rigidity and flexibility, can bring fundamental insight into how a material might respond to stress, be designed, be reconfigured, etc. Beyond materials, the notions of network rigidity can be applied to more abstract networks and geometries, such as those found in data science. This workshop aims to build connections between the field of mathematical rigidity theory, other topics in applied mathematics, and related areas of science and engineering.

ICERM;     Email: info@icerm.brown.edu

Graph Theory and Combinatorics,    Chemicals and Materials Science

Charles University, Faculty of Mathematics and Physics

EuroCG is an annual workshop that combines a strong scientific tradition with a friendly and informal atmosphere. The workshop is a forum where established researchers and students can meet, discuss their work, present their results, and establish scientific collaborations. The goal is to present recent results and to identify and explore directions for future research.

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.

CIRM – Centre International de Rencontres Mathématiques

Friezes, introduced 50 years ago by Coxeter, are patterns of integers defined by a simple, local condition. They consist of a finite (or infinite) number of rows written in a lattice, starting with a row of 0s and a row of 1s and satisfying a local SL2-rule: for any four neighbours a, b, c, d forming a diamond we require ad − bc = 1. Since the discovery of links to cluster algebras of type A, a plethora of generalisations have been studied in the last decades. With this workshop, we will provide a platform to establish new links between friezes and research areas in geometry, algebra and combinatorics.

Algebra,    Graph Theory and Combinatorics

Isaac Newton Institute for Mathematical Sciences

Algebra,    Courses and Events for Math Students and Early Career Researchers

Graph Theory and Combinatorics,    Courses and Events for Math Students and Early Career Researchers

CIRM – Centre International de Rencontres Mathématiques

This big event will be the concluding conference of the semester. As is, presentations will cover a wide variety of topics from Real Algebraic Geometry and Birational Geometry. Most of the targeted speaker will be experts of the three subdomains we discuss in the project and some people are already involved in the other events but we want also to bring these subjects to a larger audience and some speakers will discuss of hot subjects from other parts of Real Algebraic Geometry and Birational Geometry.

CIRM – Centre International de Rencontres Mathématiques

The interactions between dynamics and geometry in dimensions up to three are fertile, they have been at the origin of many recent discoveries. A particularly nice example is the genericity of the set of three-dimensional Reeb flows admitting infinitely many periodic orbits. These interactions are also at the heart of a number of current research programs around the world in various directions. Transverse geometric structures (possibly singular), for example, represent a promising line of work for the study of Anosov flows in dimension three. Methods and concepts from one-dimensional dynamical systems, singular geometric structures on surfaces (of which translation surfaces are the paradigmatic example) and three-dimensional flows are fundamental. These ideas permeate a large part of mathematics, inspiring many higherdimensional notions, but are not as well-known as they should be by a wider public of young researchers in geometry and dynamics. The aim of this summer school is to help filling this gap, through three in-depth mini-courses on circle diffeomorphisms, translation surfaces and the dynamics of three-dimensional Reeb flows.

Abdus Salam International Centre for Theoretical Physics (ICTP)

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)

École Polytechnique Fédérale de Lausanne (EPFL)

This is a 2 weeks program at the Bernoulli Center about p-adic and characteristic p methods in algebraic geometry.

University of Helsinki

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.

Email: quasiweekend@gmail.com

Qusiconformal maps, complex dynamics, geometric function theory, geometric group theory, analysis on metric spaces

Analysis,    Calculus, Differential Equations and Integration

Abdus Salam International Centre for Theoretical Physics (ICTP)

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.

University of Notre Dame

This summer school will focus on focus on Legendrian links and the microlocal theory of sheaves and run from June 9th through June 13th, 2025. The summer school will be centered around a mini-course given by Roger Casals (the University of California, Davis). The mini-course will be supplemented by a couple of research talks, opportunities for participants to ask questions and work on problem sets, panel discussions about career paths, and a discussion of open problems.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Géométrie Algébrique en Liberté, also known as GAeL, is an annual workshop organized by and for young algebraic geometers. The aim of this workshop is to gather young mathematicians in this field of research and give them an opportunity to discuss freely without having to fear that their questions or viewpoints might be silly: hence the name of the workshop.

Isaac Newton Institute for Mathematical Sciences

Equivariant homotopy theory in context

Algebra,    Courses and Events for Math Students and Early Career Researchers

University of Notre Dame

Group Theory,    Number Theory, Arithmetic

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

The Computational Geometry Week (CG Week) is the premier international forum for advances in computational geometry and its many applications. CG Week combines a number of events, most notably the 41st International Symposium on Computational Geometry (SoCG 2025), the associated Media Exposition (CG:ME), workshops, the Young Researchers Forum (CG:YRF), and the CG Challenge (CG:SHOP).

Applied Mathematics (in general),    Numerical Analysis and Computational Mathematics

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.

Number Theory, Arithmetic,    Algebra

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

The Fields Institute for Research in Mathematical Sciences

Homotopy theory is in the midst of a renaissance as its usefulness in other areas of mathematics is becoming increasingly recognised. From polyhedral products in geometric group theory, to combinatorial methods in group theory, to topological properties of manifolds and spaces of embeddings, to Morava K-theory in symplectic geometry, to simplicial methods in topological data analysis, to a host of applications in mathematical physics - and these name only a few areas of interaction - homotopy theory over the past ten to fifteen years has significantly extended its reach. This program will assemble a wide range of leading experts to discuss the state of the art in current research, both in terms of core fundamental problems and crossover to other areas, and explore exciting new directions.

The Fields Institute for Research in Mathematical Sciences

This workshop will accelerate development of new directions in chromatic and unstable homotopy theory and in the homotopy theory of polyhedral products. Key will be the exploration of areas of interaction: unstable homotopy theory and polyhedral products have substantial existing intersection while recent developments in chromatic homotopy theory suggest exciting new intersections with unstable homotopy theory and polyhedral products.

Organised in partnership with the Clay Mathematics Institute

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Interactions between Group Theory and Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Interactions between Group Theory and Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

Courses and Events for Math Students and Early Career Researchers,    Group Theory

The Fields Institute for Research in Mathematical Sciences

Group theory and topology have a long and rich history of interaction. This workshop will bring together experts working on different aspects of this interaction in order to share ideas and boost the development of new methods that can be applied to the topology of configuration spaces, braid groups, mapping class groups and manifolds, and spaces of commuting elements.

Group Theory,    Courses and Events for Math Students and Early Career Researchers

The Summer school: "Invitation to complex geometry" will be held between 04-08 August 2025 at the main lecture hall of the Rényi Institute (Budapest) as part of the thematic semester Complex analysis and Geometry (August-December 2025) hosted by the Erdős center. Graduate students (Msc and PhD), postdocs, and early career researchers are encouraged to apply.

The "Summer school on singular Kählerian metrics and Hermitian geometry" will be held between 11-15 August 2025, at the main lecture hall of the Rényi Institute (Budapest), as part of the thematic semester Complex analysis and Geometry (August-December 2025) hosted by the Erdős center. Advanced PhD students , postdocs, and junior researchers working in complex geometry are encouraged to apply. During this one week summer school, Hans-Joachim Hein (Münster) and Daniele Angella (Firenze) will give series of talks on recent advances on singular Kähler metrics, and Hermitian geometry respectively. We expect that the audience will consist of advanced graduate students, postdocs and junior faculty working in complex geometry.

The René 25 conference will bring together renowned international researchers in mathematics to celebrate the research interests of René Schoof, which include the fields of algebraic number theory, arithmetic algebraic geometry, computational number theory and coding theory.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Neural Networks and Artificial Intelligence, Machine Learning,    Optimization Theory, Operational Research

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

This program will focus on several aspects of the theory of automorphic forms with an emphasis on the relations among the internal structure of spaces of automorphic forms, the Langlands functoriality principle, automorphic L-functions, and questions in geometry, in particular, those regarding locally symmetric spaces. These are associated with arithmetic subgroups of a given reductive algebraic group G dened over analgebraic number field. Special attention is given to the theory of Eisenstein series and their ubiquitous role within the theory of automorphic forms.

Group Theory,    Courses and Events for Math Students and Early Career Researchers

The aim of this workshop is to explore recent advances in Kähler geometry, focusing on non-Archimedean aspects of the Strominger--Yau--Zaslow conjecture, potential-theoretic approaches to singular Kähler-Einstein metrics, geometric estimates for solutions to Complex Monge–Ampère equations, connections with the minimal model program, and Calabi-Yau metrics on non-compact manifolds.

This conference aims to honor the spectacular contributions of Emmanuel Ullmo to arithmetic geometry and centers around his mathematical contributions and interests. It will cover and highlight recent stage of development on topics such as Diophantine geometry, ergodic theory, Hodge theory, and arithmetic dynamics.

The goal of this workshop is to bring together both senior and junior specialists in the fields of almost complex and non-Kähler geometry to present their latest achievements in research. Key topics will include cohomological properties of complex and symplectic manifolds, analytical techniques in non-Kähler geometry, special structures on complex manifolds, deformations of complex objects, topological aspects of complex and symplectic manifolds, and Hodge theory on almost Hermitian manifolds.

Banach Center

Analysis,    Probability and Statistics, Game Theory

The summer school is about formulas of Siegel and Weil and its impact in the theory of sphere packings, number theory, and geometry. The summer school takes place at Bielefed University.

Number Theory, Arithmetic,    Courses and Events for Math Students and Early Career Researchers

Rutgers University, Newark

The focus of the workshop is the interactions of 3-manifold topology and geometry, and the study of 3-manifold groups and character and representation varieties with computational topology and theoretical computer science. We also welcome related topics! There will be several introductory lectures and longer research talks, and some short (lightning) talks. There also will be ample time for discussions and informal interactions.

Isaac Newton Institute for Mathematical Sciences

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.

Our meeting will bring together researchers in various fields of mathematics such as Geometry, Combinatorics and Algebra. Through scientific talks new directions will be given and open problems will be proposed aiming at new collaborations among the participants.

Geometry, Combinatorics, Commutative Algebra.

Graph Theory and Combinatorics,    Algebra

The program will unite researchers from a number of areas: algebraic and complex geometry, arithmetic geometry, Hodge theory, and mathematical physics. It will bring theoretically and computationally oriented researchers together, expecting that computations will illuminate conjectures made by the theorists and that theory will enlarge the range of what can be computed. We intend to develop databases of certain types of K3 surfaces for the L-Functions and Modular Forms Database and promote the development of software for computations on K3 surfaces in Magma, SageMath, or other systems for public release.

Number Theory, Arithmetic,    Courses and Events for Math Students and Early Career Researchers