Conferences  >  Mathematics  >  Analysis

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.

The International Centre for Mathematical Sciences (ICMS)

Three mini-courses, given by Lucas Ambrozio, Alessandro Pigati, and Melanie Rupflin, targeted towards PhD students and post-docs. There will be eight speaking-slots to be filled by attendees.

Courses and Events for Math Students and Early Career Researchers,    Calculus, Differential Equations and Integration

This workshop aims to bring together in Madrid experts from around the world who are interested in the fields of Geometric and Functional Analysis. Topics will include Real Analysis, Operator Theory, Banach Spaces, Dynamical Systems and Analysis on Metric Spaces.

Email: workshopgfa2026@ucm.es

American Mathematical Society and Georgia Southern University-Armstrong Campus

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.

Email: ekanshjauhari@ufl.edu

Global Riemannian geometry, curvature restrictions, differential geometric analysis, index theory, spin geometry, algebraic topology of manifolds.

Geometry and Topology,    Mathematical Physics

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

The study of geometric properties of convex bodies based on information about sections or projections of these bodies belongs to the area of geometric tomography and has important applications to many areas of mathematics and science, in general. In recent years, there has been a significant increase in the interaction between harmonic analysis and convex geometry, leading to solutions for several longstanding open problems, the discovery of new phenomena, and many new intriguing open questions. The goal of this workshop is to bring together young and established researchers to discuss recent developments and advance applications of harmonic analysis to convex geometry and geometric tomography.

Geometry and Topology,    Calculus, Differential Equations and Integration

Formalization of mathematics is the process by which pen-and-paper mathematics is translated into a strict chain of logical deductions down to the axioms of mathematics. The subject has seen renewed interest in the last decades, thanks to the development of computer systems, called proof assistants, which make this feasible in practice. There have now been several examples of high-profile mathematical results which have been formalized. In principle any mathematical domain is accessible, but existing projects are skewed towards algebra instead of analysis. Notable exceptions are a project which formalized enough of Gromov’s convex integration theory to deduce Smale’s sphere eversion theorem, and the ongoing project to formalize Carleson’s convergence theorem for Fourier series. This workshop will bring together formalization experts and interested mathematicians to give a new impulse to formalization of analysis (in a very broad sense), and to develop abstractions and tools to deduplicate effort.

Phone: [4018635030];     Email: info@icerm.brown.edu

The endeavor of provably computing rational points on curves stretches back millennia. In the last years the method of Chabauty and Coleman has seen major breakthroughs. The method itself has remarkable applications and currently there are several exciting generalisations being actively developed and applied. In addition to invited talks by established names in the field and an open problem session, we will offer speed talks to young researchers to advertise their work. The aim of this conference is also to foster future collaborations.

Isaac Newton Institute for Mathematical Sciences, Cambridge

Complex dynamics concerns the iteration of analytic functions of one complex variable, an area of research established by Fatou and Julia towards the beginning of the last century, with Fatou’s seminal paper on the iteration of transcendental functions published in Acta Mathematica in 1926. This is now a highly active area of research with rapidly growing interactions with several other areas of mathematics. This workshop provides an opportunity to explore and celebrate the legacy of the last hundred years, and to identify the topics and interactions of most interest as we move into the next hundred years.

Isaac Newton Institute for Mathematical Sciences, Cambridge

The workshop aims to advance the mathematical design and analysis of wave propagation in metamaterials and complex media for a wide variety of applications of major importance for industry and society. It will focus on two outstanding and interconnected themes of multiple wave scattering identified during the parent programme and which have rapidly progressed since: (i) heterogeneous materials with varying degrees of order/disorder, and (ii) locally resonant materials, with applications in water-wave energy harvesting, electromagnetics/optics, acoustics/elastic waves etc.

Isaac Newton Institute for Mathematical Sciences, Cambridge

The main goal of this Workshop is to advance our understanding of metastability, critical behaviour, and long transients in models of Earth system to substantially improve our ability to anticipate critical behaviour. The topic covers a diverse spectrum of research disciplines: applied mathematics, data science, theoretical and statistical physics, complexity theory, climate science, paeloclimatology, and mathematical/theoretical ecology. Therefore, we will welcome diverse participants ranging from theoreticians to numerical modellers, and to experts in observations, experiments, data collection and postprocessing. We will focus on the nascent approaches and theories, and will explore the interdisciplinary aspects of the problem. We will also relate modelling the current global situation the Earth’s crises in the past, where changes in the climatic conditions or in its dominant patterns of variability caused mass extinction events. The workshop will consist of a set of insightful talks followed by joint discussions.

Isaac Newton Institute for Mathematical Sciences, Cambridge

Isaac Newton Institute for Mathematical Sciences, Cambridge

Many of the fundamental concepts and problems in complexity theory originated at least partially in mathematical logic. The power of various feasible computational models appears to be linked with the strength of weak formal theories, and understanding the strength of formal theories may be useful --- if not key --- to resolving some of the open conjectures about the power of feasible computation. The workshop will be devoted to research on logical facets of complexity theory, especially the interplay between formal logical theories and computational complexity.

Numerical Analysis and Computational Mathematics,    Mathematical Logic and Foundations

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

The rapid advances in the mathematical analysis of geometric nonlinear dispersive equations, from General Relativity, fluid dynamics, quantum mechanics, both on the deterministic and the probabilistic side, make this an opportune time for the proposed workshop. Our objective is to bring together leading experts with overlapping interests related to this wide range of problems and disseminate and exchange state of the art tools newly available.

Isaac Newton Institute for Mathematical Sciences, Cambridge

This opening workshop will represent both themes of the programme, with emphasis on topics lying at their interface. It will provide a snapshot of the current research landscape and insight into emerging trends and potential research directions.

Isaac Newton Institute for Mathematical Sciences, Cambridge

Isaac Newton Institute for Mathematical Sciences, Cambridge

This workshop will focus on a circle of problems lying at the interface between harmonic analysis and geometric measure theory, including the Kakeya and Restriction Conjectures, the Falconer distance problem and projection theory. Underlying all these questions are combinatorial incidence problems, concerning intersection patterns between geometric objects such as thin tubes and annuli. The workshop will bring together experts from a range of backgrounds to investigate these deep and important interdisciplinary problems.

Calculus, Differential Equations and Integration,    Geometry and Topology

Isaac Newton Institute for Mathematical Sciences, Cambridge

This workshop will focus on minimal regularity boundary value problems connected with uniform rectifiability, harmonic type measures, and Kato square function estimates. It will bring together experts from elliptic and parabolic PDEs with those from geometric measure theory to drive progress on characterisations of solvability beyond symmetric structures.