Conferences  >  Mathematics  >  Calculus, Differential Equations and Integration

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

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,    Analysis

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

Mathematically, the characterization of localization and delocalization is a rich and delicate problem. Many disciplines, including probability, the analysis of partial differential equations, and mathematical physics, offer tools to tackle localization questions. This workshop will convene researchers from across these fields to share new techniques, explore common questions, and initiate novel lines of research. Moreover, the workshop is designed to nurture a community of early-career researchers who are comfortable communicating and collaborating across disciplines.

Applied Mathematics (in general),    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.

Analysis,    Geometry and Topology

Association of Nepalese Mathematicians in America, Nepal Mathematical Society, and Central Department of Mathematics at Tribhuvan University

The conference provides a platform for a diverse group of scientists applying mathematics to natural and health sciences, engineering, and finance. Specific areas covered include, but are not limited to, differential equations, computational mathematics, mathematical biology, statistics, data science and analytics, mathematics education, analysis, topology, geometry, algebra, number theory, optimization, operations research, quantitative finance, biomedical science, biophysics, and public health. The emphasis will be on bringing together mathematicians and scientists from all over the world for discussing and disseminating current research trends so as to provide opportunities for participants particularly from Southeast and East Asian countries for initiating research collaborations and building professional network.The conference features six plenary lectures delivered by renowned scientists and educators, special lectures presented by experts in diverse research topics, parallel sessions on invited and contributed talks, and poster presentations.

Email: khana66a@erau.edu

Differential Equations and Nonlinear Analysis, Mathematical Biology, Algebra, Geometry, Topology, Probability, Statistics, Data Science, Mathematics Education, Numerical Analysis, Scientific Computation, and Optimization

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

Fields Institute, Toronto, Canada

Courses and Events for Physics Students,    Applied Mathematics (in general)

Hyung Ju Hwang (POSTECH), Chanwoo Kim (UW-Madison), Donghyun Lee (POSTECH), Jin Woo Jang (POSTECH)

In honor of Professor Yan Guo's 60th birthday

Fields Institute, Toronto, Canada

Fields Institute, Toronto, Canada

Fields Institute, Toronto, Canada

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

The subjects in this workshop are closely related to the world we live in. For example, the Einstein metrics - describing gravitational fields and mirror symmetry - a phenomenon discovered to describe our physical universe. To understand them, we need to find solutions to equations that involve many unknowns and their derivatives. It is highly challenging to construct solutions for these equations. Many basic questions remain open despite great efforts have been devoted and significant progress has been made. In attempts to solve the equations, a powerful way is the geometric flows. These are equations which evolve the key quantities that we try to understand along with time, and as time moves on the evolutions eventually get close to the true solutions. This approach has been fruitful and providing deep insights. It it timely to gather some of the leading experts and young talents to share their results and imitate new projects.

ICERM/Brown University

The mathematical description of many-particle systems is a fundamental and challenging problem. At the microscopic level, particle interactions can be modeled with very large systems of ordinary differential equations. This approach can be impractical due to the very large dimension of the systems. Mean field models based on partial differential equations thus arise to describe the collective behavior of a large number of particles. Depending on the spatial and temporal scales, as well as the heterogeneity among particles, PDEs of different types and dimensions emerge. At the mesoscopic level, effective models are kinetic equations - including the Vlasov, Boltzmann, Landau equations - while at the macroscopic level we have continuum equations (for example, the Euler and Navier-Stokes equations). Beyond common mathematical challenges, microscopic, kinetic and fluid equations share a deeper link: Fluid equations can be obtained as a limit in certain asymptotic regimes from kinetic equations which, in turn, can be obtained by limits from microscopic models. This workshop aims at bringing together researchers working in these three connected areas from an analytical and computational perspective. These areas have seen dramatic progress over the last decade, and the methods and problems in each field are becoming highly relevant to the other fields. The meeting will showcase the most recent breakthrough results and promote interactions among communities and cross-pollination of techniques and mathematical methods.

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

Fields Institute, Toronto, Canada

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

The Banff International Research Station will host the workshop "Recent Breakthroughs and New Perspectives on the Interplay between Fluid Mechanics and Kinetic Theory" in 2026. This event will bring together leading experts from two closely-related fields---fluid mechanics and kinetic theory---that have seen remarkable progress and growth in the last decade. The workshop aims to foster collaboration and the exchange of ideas between these communities, accelerating the proliferation of techniques and discovery of new research directions.

Applied Mathematics (in general),    Applied Physics (general)

Fields Institute, Toronto, Canada

The three core objectives of the event are: (i) Accelerating research by crossing disciplinary boundaries between chemistry, physics, math, computer science and engineering, theory and experiment, quantum information processing and its "hardware" materials. (ii) Training junior researches in QIS with tutorials, research talks, and by providing them with opportunities to interact directly with leaders in the field. (iii) Strengthening QIS research in Canada by promoting collaborations and increasing the visibility of Canadian contributions to the field. QIS has evolved into a broad field encompassing numerous subfields. The primary goal of this conference is to foster interactions and collaborations among researchers working across diverse areas of QIS. Unlike many conferences that focus on one specific subfield of QIS, this event aims to bring to the same room researchers from a wide spectrum of QIS topics, and including theory and experimental work. The event will cover the study of foundations and applications in QIS and various prominent physical platforms: photons, atoms, molecules, and solid-state systems. The second objective of the conference is to train the next generation of QIS researchers including senior undergraduates, graduate students, postdoctoral fellows, and early-career researchers. The event will provide Canadian and international trainees with knowledge on the current state of the field and an understanding of key challenges in QIS.

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

The mathematical modeling of biological systems with partial differential equations has a long and successful history. Many results on species invasion or extinction, pattern formation and species interactions have been derived and used to better understand the biology around us. Applications cover a vast scale of sizes, from protein movement in the cell nucleus, to cell movement to tissue structure, organ structure, up to species interactions on the population level. Recently, a new model class arose that include finite distance interactions into the partial differential equation (PDE) framework. Non-local interactions relate to different sensing mechanisms, starting with sensing through sight and smell, to sensing through touch, cell-cell contact and cell protrusions to more abstract concepts such as learning and memory. In this workshop we aim to bring together established and young researchers to push the frontiers of research into non-local partial differential equations and their applications to biological problems.

Modeling and Simulation,    Systems Biology and Computational Biology

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

The analysis of nonlinear diffusion PDEs is a wide field of research that not only encompasses elliptic and parabolic equations, but also includes several functional-analytic tools that proved successful in the deep understanding of such equations: just to mention a few, we recall Hardy, Poincaré and Sobolev inequalities. The corresponding rigorous theory, at least in the Euclidean setting, has reached extremely high levels, both in the local and the nonlocal case, with many sharp results available by now. The general interest for such equations is motivated by the fact that they are of paramount importance in the description and modeling of a number of real-world phenomena (e.g., the flow of gases through a porous medium, water infiltration, heat dispersion, population dynamics, etc...).

The International Centre for Mathematical Sciences (ICMS)

The workshop addresses recent advances in the numerical and theoretical analysis of Hamilton-Jacobi equations and mean-field PDEs, which lie at the heart of optimal control, differential games, and the modelling of large-scale interacting systems. These equations are central to many applications in physics, finance, engineering, and the social sciences, yet their analysis and numerical approximation remain challenging due to their nonlinear, degenerate, and often high-dimensional nature. Attention will be given to the development of robust numerical methods with proven convergence properties, including semi-Lagrangian schemes, finite element and viscosity approaches, and recent techniques based on scientific machine learning. The workshop will explore the interplay between analytical theory and computational practice, aiming to connect Hamilton-Jacobi and mean-field models with related fields such as stochastic control and optimal transport. By bringing together researchers from across numerical analysis, PDE theory, applied analysis and probability, the event seeks to stimulate new collaborations and perspectives on both foundational problems and real-world applications.

The International Centre for Mathematical Sciences (ICMS)

This conference will bring together researchers working in mathematical general relativity, in Newtonian gravity, and on the Newtonian limit of general relativity. The unifying theme is the analysis of partial differential equations involved in those fields. The conference will provide a platform to share analytic methodology pertinent to each field and to learn about recent advances and open problems.

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

The 5-day workshop, "Space-time Approaches to PDE Solvers: Unlocking the Power of Co-Design'', will bring together a diverse group of leading international experts in numerical analysis, scientific computing, and hardware-software integration to review and explore the cutting-edge developments and challenges in the simulation of complex PDEs. The workshop will focus on three major themes: i) space-time discretization methods for PDEs; ii) co-design principles for the next generation of PDE solvers; and iii) real-world applications for these advanced solvers, ranging from fluid dynamics and Earth system modeling to plasma-based energy systems to biomedical simulations and personalized medicine.

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

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.

Analysis,    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.