Conférences  >  Mathématiques  >  Mathématiques appliquées (en général)

Simons Laufer Mathematical Sciences Institute (SLMath)

Computer assisted proofs are at the forefront of modern mathematics, and have led to many important recent mathematical advances. They provide a way of melding analytical techniques with numerical methods, in order to provide rigorous statements for mathematical models that could not be treated by either method alone. In this summer school, students will review standard computational and analytical techniques, learn to combine these techniques with more specialized methods of interval arithmetic and automatic differentiation, and apply these methods to establish rigorous results in otherwise intractable problems.

Cours et évènements pour étudiants en mathématiques,    Démonstration automatique de théorèmes

TU Wien, Research Unit for Variational Analysis, Dynamics and Operations Research

A well established conference on Optimal Control (ODF, PDE), Dynamic Games/Mean Field Games, Continuous Optimization; Shape Optimization, Mathematical Economics, and Industrial Applications. The organisation committee is lead by Aris Daniilidis. The conference features invited speakers, 5 parallel sessions over 4 days and contributed talks and posters. Registration opens January 2025.

Event Secretariat;     Email.: vc2025@tuwien.ac.at

Optimal Control (ODF, PDE), Dynamic Games/Mean Field Games, Continuous Optimization, Shape Optimization, Mathematical Economics, Industrial Applications

Optimisation, recherche opérationnelle,    Systèmes, contrôle et automatisation

Society for Industrial and Applied Mathematics (SIAM)

The objective of the SIAM Activity Group on Financial Mathematics and Engineering is to advance fundamental research and implementation of practices in financial engineering, computation, and operations. The group aims to foster collaborations among applied mathematicians, applied probabilists, statisticians, computer and data scientists, economists, as well as industry practitioners. The conference will expose state-of-the-art mathematical and computational tools in quantitative finance, including its uses in the public and private sectors. The activity group promotes and supports the development of financial mathematics and engineering as an academic discipline.

Email.: https://www.siam.org/conferences-events/siam-conferences/fm25/

University of Tunis El Manar, ENIT LAMSIN

The Tunisian Summer Meeting on Stochastics is a workshop that brings together tunisian researchers working in the broad field of stochastic processes, probability theory, and their applications.

Email.: mohamed.mnif@enit.utm.tn

Probability

Society for Industrial and Applied Mathematics (siam)

Society for Industrial and Applied Mathematics (siam)

Society for Industrial and Applied Mathematics (SIAM)

Mathématiques numériques,    Algorithmes et structures de données

ICERM/Brown University

This workshop focuses on random polynomials - with coefficients that are random variables - in mathematics as well as their applications in other fields. Studying the zeros of a polynomial is one of the oldest and most fundamental problems in mathematics. Classical results include bounds on the number of real roots and connections between the roots and critical points, while extremal properties and approximation theorems have established the importance of polynomials as objects in analysis. Random polynomials arise in many applications, ranging across many fields of physics, engineering, economics, and mathematics. For example, in recent years, random polynomials have been used to study problems in evolutionary game theory, random matrix theory, free probability theory, numerical analysis, symplectic geometry, quantum chaotic dynamics, random differential equations, and approximate solutions of operator equations. This meeting will be a forum to explore problems involving random polynomials, focusing on the various aforementioned applications and involving researchers who study their theoretical, applicable, computational, and numerical aspects.

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

Simons Laufer Mathematical Sciences Institute (SLMath)

The Connections workshop will bring together leading experts working at the intersection of kinetic theory and stochastic partial differential equations (SPDEs). Kinetic theory is a body of theory for non-equilibrium statistical mechanics. The phase-space formulation provides the flexibility of characterizing dynamics emerging from a wide range of applications, ranging from rarified gas, to plasma, to photons, to bacteria. Complementing this, SPDEs provide powerful tools for modeling systems influenced by random fluctuations and noise, essential for capturing the inherent uncertainties in complex processes. This workshop will delve into how these cutting-edge mathematical techniques can be integrated to analyze and predict the behavior of systems ranging from fluid dynamics to financial models.

Calcul infinitésimal, équations différentielles et intégrales,    Physique mathématique

Simons Laufer Mathematical Sciences Institute (SLMath)

The goal of the workshop is to introduce non-experts to two active research areas: kinetic theory and stochastic partial differential equations. Kinetic theory studies the properties of interacting particle systems modeling various processes in non-equilibrium statistical mechanics. Stochastic partial differential equations describe dynamics subjected to random noises. The methods from the two areas complement each other in studies of the phenomena arising in physics, economics, life sciences, etc.

Calcul infinitésimal, équations différentielles et intégrales,    Physique mathématique

Bulgarian Academy of Sciences

Mathematical Physics; Mathematical Finance; Mathematical Biology; Fractional Calculus; Computer Science; Artificial Intelligence; Neural Networks; Numerical Methods.

Calcul infinitésimal, équations différentielles et intégrales,    Analyse

he Institute of Mathematics and Mechanics of the Ministry of Science and Education of the Republic of Azerbaijan, Baku/Azerbaijan

Institute of Mathematics and Mechanics of the Ministry of Science and Education of the Azerbaijan Republic is holding the XII International Scientific Conference “Modern Problems of Mathematics and Mechanics” on September 03-06, 2025 in Baku, AZERBAIJAN. This conference will be an international forum for mathematicians, mechanical engineers and specialists in the field of mathematical education to present their latest research and development results in all areas of pure and applied mathematics, mechanics, educations and their possible advanced applications in real life.

The aim of the MICOPAM 2025 conference is to bring together leading scientists of the pure and applied mathematics and related areas to present their research, to exchange new ideas, to discuss challenging issues, to foster future collaborations and to interact with each other.

University POLITEHNICA Bucharest, Romania

The 12th International Conference on Stochastic Analysis and its Applications (ICSAA) is part of a biannual series of meetings. The first edition was held in Washington in 2006 and the last one in Edinburgh in 2023.

Stochastic analysis and its applications; Stochastic differential and partial differential equations; Markov processes including jump type processes and measure-valued processes; Dirichlet forms; Analysis on fractals and percolation clusters.

Statistique, Théorie des jeux,    Analyse

Ghent Analysis & PDE Center, Ghent University

The purpose of the conference is to provide an international forum to present and discuss the latest developments in computational and applied mathematics in various emerging engineering and mathematical fields.

Email.: acomen2025@ugent.be

Applied and computational mathematics, Computational solid mechanics, Computational fluid mechanics, Computational material science, Computational electromagnetism, Computational natural sciences and biomechanics, Data driven and Artificial Intelligence applied to modelling, Fluid-structure interactions and coupled problems, High performance scientific computing, Inverse problems, Machine learning, New and emerging discretisation methods, Numerical analysis, Optimisation methods, Partial Differential Equations, Software for scientific computations, Simulation of manufacturing processes, Uncertainty quantification and stochastic modelling

Mathématiques numériques,    Simulation

The Romanian Society of Applied and Industrial Mathematics

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. The conference has also sections for computer sciences and the theoretical branches of mathematics like algebra or geometry. A special section of the conference is dedicated to the mathematical teaching.

Tél.: [0744427589];     Email.: conferences.caim@yahoo.com

Partial Differential Equations; Ordinary Differential Equations, Dynamical Systems; Mathematical Modeling in Engineering and Life Sciences; Real, Complex, Functional and Numerical Analysis; Probability Theory, Mathematical Statistics, Operations Research; Algebra, Logic, Geometry; Computer Science; Education

Simulation,    Mathématiques numériques

This Conference has been organised in cooperation with the Society for Industrial and Applied Mathematics (SIAM).

The 3rd IMA Conference on the Mathematics of Robotics aims to bring together researchers working on all areas of robotics which have a significant Mathematical content. The idea is to highlight the Mathematical depth and sophistication of techniques applicable to Robotics and to foster cooperation between researchers working in different areas of Robotics.

Topology. Kinematics. Algebraic topology of configuration spaces of robot mechanisms. Topological aspects of path planning and sensor networks. Differential topology and singularity theory of robot mechanism and moduli spaces.

Mathématiques générales et evénement multidisciplinaires,    Robotique, automation & mécatronique

CIRM – Centre International de Rencontres Mathématiques

The abstract foundation of the book concerning functional analysis, special issues on Sobolev type function scales, and elliptic and parabolic regularity in case of non-smooth data, is already solid. However, the culminating last part of the book is still under discussion and editing. There, it is intended, using the theory established before, to give a condensed and unified treatment of wellposedness for several real-world problems, namely the thermistor problem, the Keller-Segel chemotaxis model, and the macroscopic semiconductor equations (Van Roosbroeck system) in case of Avalanche generation, all for the case of non-smooth spatial domains. These problems were open for decades and solved only recently by the authors and collaborators in journal articles.

Analyse,    Calcul infinitésimal, équations différentielles et intégrales

The goal of the conference is to share knowledge and the latest research on the following topics: approximation by linear and nonlinear operators, numerical integration, orthogonal polynomials, integral equations, inverse problems and applications of integral models, and related issues in numerical linear algebra.

Society for Industrial and Applied Mathematics (SIAM)

The study of geophysical systems, whether from a scientific or technological perspective, calls for sophisticated mathematical modeling, efficient computational methods, and pervasive integration with data. This conference aims to stimulate the exchange of ideas among geoscientific modelers, applied mathematicians, engineers, and other scientists, having special interests in the range of geophysical domains from the deep subsurface to the atmosphere.

Géophysique et géologie,    Physique numérique

This workshop will explore the latest advances in kinetic theory and stochastic particle dynamics in mean field regimes, covering both classical themes and emerging areas. Topics will include the derivation of kinetic type equations from particle and plasma systems, state-of-the-art numerical methods, studies of multiscale phenomena, and the applications of kinetic equations in physics, chemistry, computer sciences appearing in life sciences, social sciences, and machine learning. This workshop will offer an exciting opportunity to connect researchers from all stages and sub-areas and spark new ideas.

Physique mathématique,    Physique numérique

University of Batna 2, Faculty of Mathematics and Computer Science

Control and Stabilization of PDEs, Operator Theory and Applications, Stochastic Analysis and Applications, Fractional Calculus and Its Applications, Integral and Integro-differential Equations, Differential Equations and their Applications, Numerical Methods, Algorithms and Approximation Theory, Mathematical Modeling in Engineering and Life Sciences, Probability Theory and Mathematical Statistics, Differential Geometry and its Applications, Dynamical Systems and its Application, Optimization and Operations Research, Fixed Point Theory and Applications, Inverse and imaging problems, Algebra and Number Theory, Cryptography and Security, Fuzzy Sets and Systems, Artificial Intelligence

Calcul infinitésimal, équations différentielles et intégrales,    Mathématiques numériques

This workshop, sponsored by AIM and the NSF, will bring together researchers from across the mathematical sciences to apply a broad range of mathematical, statistical, and data science tools to study the mathematical sciences community. The workshop will include both researchers currently working in this area, as well as researchers new to the field interested in applying their expertise to this area.

Developing MetaMath as an example of using mathematical, statistical, and computational methods to investigate the mathematical sciences community itself. Catalyzing research collaborations aimed at using data to answer questions about the mathematical sciences community. Exploring the variety of mathematical, statistical, and data science techniques that can be applied to gain insight into the systems and structure of the mathematical sciences community.

Mathématiques générales et evénement multidisciplinaires,    Calcul scientifique et science des données

African Society for Industrial and Applied Mathematics

Discover the forefront of research and innovation in the field of industrial and applied mathematics ! The International Conference of Industrial and Applied Mathematics is a premier gathering of scholars, researchers, and professionals from around the world, dedicated to advancing knowledge and fostering collaboration in this rapidly evolving discipline.

Tél.: [0021698426224];     Email.: iciam@iciam.net

Mathematical Modeling and Simulation, Optimization and Operations Research, Differential Equations and Dynamical Systems, Control Theory and Automation, Data Science and Artificial Intelligence in Industry, Computational Fluid Dynamics (CFD) and Heat Transfer, Mathematical Methods in Finance and Economics, Material science and engineering, Advanced computational mechanics,

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

A tensor category is a category with a tensor product that satisfies properties similar to the tensor product of vector spaces. A typical example is given by the representation category of a group with the usual tensor product. While the most important examples of tensor categories arise from representation theory, the theory has outgrown its origins and has emerged into a vast and complex theory on its own, providing a unified language for many phenomena in different fields. Tensor categories are now ubiquitous in areas such as representation theory, invariants of links and 3-manifolds, algebraic geometry, higher category theory, quantum computing and mathematical physics. All in all the abstract theory of tensor categories along with its applications has seen a rapid growth over the last 10 - 20 years.

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

Symbiotic relationships are ubiquitous on our planet, and a necessary component of life in all its forms. Symbioses have been identified in ecological contexts ranging from forests, to coral reefs, to the microbiota of humans. Despite their importance, the main body of theory largely neglects key features of host-symbiont relationships, such as their interdependent fitness and the fluctuating abundance of symbionts within a hosts’ lifetime. This lack of mathematical theory limits our predictive understanding of the ecological and evolutionary dynamics of these communities, and is affecting our ability to successfully manage and conserve them. During this workshop, biologists and mathematicians will come together to discuss the current challenges and opportunities for the mathematical modelling of symbiotic systems. Participants will develop the foundations of a new class of ‘eco-evolutionary’ models that explicitly accounts for host-symbiont intertwined ecology and evolution, and for the consequences of this interdependence. The developed models will help advance our mechanistic understanding of host-symbiont community dynamics, with implications ranging from forestry management, to coral reef conservation, to human health.

Simulation,    Biologie des systèmes

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

In-host modelling is a burgeoning field at the intersection of biology, mathematics, and computational science, dedicated to unravelling the intricate dynamics of disease and the immune system within individual hosts. The field has evolved significantly over time, driven by the need to understand how pathogens interact with the immune system and how interventions like treatments and vaccines can alter disease or infection outcomes. More work needs to be done to understand how genetic, environmental, and physiological factors affect how individuals respond to infections, vaccines, and treatments, influenced by variations in age, comorbidities, sex, ethnicity, immune-related genes, exposure histories, and overall health. Understanding these differences is crucial for advancing personalized and group-targeted medicines or vaccines, developing new drugs and vaccines, and optimizing public health programming for all populations. A workshop focus will be on key questions from industry and government through large and small group discussions. Industry and government reports will result.

Simulation,    Biologie des systèmes

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.

Calcul infinitésimal, équations différentielles et intégrales,    Physique mathématique

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

The vaccine development pipeline is a time, cost and labour-intensive process. Mathematical and computational methods can alleviate challenges related to this intensive process as well as providing further insights into the efficacy and safety of vaccines. These methods are key components of model-informed vaccine development (MIVD) and quantitative systems pharmacology/toxicology (QSP/T). MIVD and QSP/T can be used in tandem to better understand the biological processes and outcomes from vaccination administration, spurring future research. This workshop will strengthen and contribute to the ongoing development of this interdisciplinary community of biologists, mathematicians and vaccinologists.

Simulation,    Pharmacologie et développement des médicaments

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

This workshop explores problems in mathematical political science, focusing on recent developments in the study of alternative voting methods and the creation of district electoral maps. Over the last 20 years, many jurisdictions in Canada and the United States have adopted or have considered adopting alternative voting methods such as ranked-choice voting for electing mayors, representatives, city council members, etc. There are many questions about such methods which can be analyzed mathematically. For example, does ranked-choice voting tend to elect candidates who are more centrist than candidates elected by more commonly-used methods like plurality? How can we best achieve proportional representation on a legislative body? What makes an election fair? There are many open problems around such questions, and this workshop hopes to make some progress on them using mathematical tools.

Science politique,    Sociologie

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

The landscape of drug design is rapidly evolving, with computational methods and artificial intelligence (AI) playing an increasingly important role. This workshop aims to explore cutting-edge mathematical approaches that are transforming the field of computational drug design. We will delve into multiscale modeling techniques that bridge the gap between molecular and macroscopic levels, providing a comprehensive understanding of drug interactions and dynamics. Additionally, we will highlight the integration of generative AI and machine learning (ML) algorithms in predicting drug efficacy, optimizing molecular structure, speeding up drug repurposing, understanding potential toxicity, and thus accelerating the drug discovery and development process. By bringing together diverse experts from academia, industry, and innovation support organizations, and adding early career researchers to the mix, this workshop will foster interdisciplinary collaboration and innovation. Participants will gain insights into the latest developments, discuss challenges, and explore future opportunities in the quest for more effective and efficient drug design.

Réseaux de neurones et intelligence artificielle, apprentissage automatique,    Pharmacologie et développement des médicaments

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

Baryonic matter in the Universe is almost exclusively (99,9 \%) in the plasma state, which is one of the four common states (with solid, liquid and gas), having the specificity of being strongly affected by electrical and magnetic fields. Already three generations of plasma physicists have worked at understanding more precisely the dynamics of plasmas, unravelling their secrets and bringing order to what seems by nature chaotic. Still, the plasmas continue to preserve a part of their mystery. First, our project aims to gain more insight into the microscopic reactions induced by the presence of radiation. Secondly, it is to mathematically elucidate how inertial effects coming from the mixing of charged species (like electrons and ions) is able to stabilize the plasma dynamics at very small scales. Incidently, this would bring innovative insight about some specificities of (magnetohydrodynamics).

Théorie des nombres, arithmétique,    Physique mathématique

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

According to recently published research study in Canada Medical Association Journal, in 2024, the number of new cancer cases and deaths from cancer were expected to reach 247 100 and 88 100, respectively. A key driver of cancer formation, development and its metastasis are single cancer cells. Understanding the biochemical processes that drive their force generation and polarisation and their mechanical properties might aid our understanding of how single cancer cells evolve over time and how they aid the formation of primary and secondary tumours. Cell migration is essential for many biological processes; e.g. immune response, embryogenesis, and cancer metastasis. The aim of this 5-day workshop is to bring applied mathematicians, cellular, molecular and developmental biologists, biophysicists, biostatisticians, biomechanical engineers and biotechnologists to deliberate on a roadmap towards developing 2- and 3-D mechanobiochemical models (MBMs) for single and collective cell migration through non-isotropic environments. The ultimate goal is to develop biophysically- and mathematically-engineered artificial cells that can be easily interrogated and perturbed for medical, biomedical, cancer and drug-delivery research at low cost, while reducing the use of animals in experiments.

Simulation,    Biologie des systèmes

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

Plant productivity and resilience to environmental stresses such as climate change depends on the mechanisms that define cellular morphogenesis. This is largely governed by the mechanical properties of the plant cell wall, which is in turn dependent on the spatial organization of dynamic cytoskeletal polymers known as microtubules. In contrast to animal cells, where microtubule organization is controlled by organizing centres, plant cell microtubule arrays are self organized. Understanding this self-organization remains an active area of research where mathematical approaches have proven to be indispensable. This is done by simulating interacting microtubules in shapes representing an individual cell. Starting with simple simulations, different researchers have implemented their own computational models to study various aspects involved in this process. Building on this, these models are now employing increasingly sophisticated ideas. This workshop aims to give researchers the opportunity to understand each others' models and to foster stronger collaborations.

Simulation,    Botanique

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

Calcul infinitésimal, équations différentielles et intégrales,    Mathématiques numériques

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

Cost-effective monitoring of large transportation networks, combined with the collection of accurate and relevant data on transport, vehicle movements, and individual mobility through various technologies, is crucial for enhancing transportation service efficiency. As we have seen in the past decade, recent technological advancements have produced an enormous volume of data, which is invaluable for understanding, planning, and managing transport networks in large cities, while also addressing the limitations imposed by road network growth. The challenge of managing, analyzing, and interpreting the information collected is considerable. The objective of this workshop is to bring together statisticians and engineers, with the specific goal to share recent advances, identify pressing problems, spark productive collaborations, and ultimately advance the state of the art by developing methods for the statistical modeling of data in the field of transportation. We will foster these interactions through four theme-focused daily workshops on the following topics: network modeling, travel behavior and choice modeling, traffic flow modeling and accident and safety analysis.

Optimisation, recherche opérationnelle,    Transport et logistique

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.

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

Catastrophic events, even though they happen rarely, have a significant impact when they occur. Disastrous climate, financial, insurance or complex network failure events can have devastating social and environmental consequences. A complete risk analysis for modelling and prediction purposes requires understanding how these extreme, rare events occur, and what are the main drivers causing them. Machine learning methods open the road for methodological developments to forecast these extreme events and discover their complex, possibly high-dimensional nature. The aim of this workshop is to bring together researchers contributing to closely related, but culturally disconnected research communities: extreme value theory and machine learning. The goal is to discuss new directions and open mathematical problems, and foster further collaboration. The leading experts will introduce young researchers, postdocs and graduate students to the state-of-the-art in the field.

Statistique, Théorie des jeux,    Réseaux de neurones et intelligence artificielle, apprentissage automatique

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.

Calcul infinitésimal, équations différentielles et intégrales,    Physique appliquée (en general)

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

Understanding the resilience of ecosystems will be critical for our future considering the multiple crises that we face. Current understanding of resilience relies largely on examining the consequences of disturbances in a deterministic framework. However, disturbances will be arguably stochastic in nature. Disturbances will be multifaceted, often repeated, and probably highly variable over time. Furthermore there is uncertainty and randomness in the processes that respond to the disturbances. Consequently, resilience is most naturally explored in the context of stochasticity: randomness in disturbances must be expected and prepared for. In this workshop, we aim to bring together stochastic and deterministic researchers studying the resilience of ecosystems and the resilience of human economic-ecosystem interactions.

Statistique, Théorie des jeux,    Écosystèmes, environnement et développement durable

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

Most volcanic hazards --- from lava and pyroclastic flows to ash and gas clouds --- are fundamentally multiphase fluid flows. Predicting these fluid flows is of considerable importance in order to inform quantitative hazard assessment, including, for example, potential evacuation and exclusion zones during eruptions. Although recent advances in remote sensing offer some remarkable new insights into the dynamics, these hazardous fluid flows can be difficult to measure directly. Predictive mathematical models therefore play a vital role in allowing forecasters make robust operational decisions. This is the theme of our proposed workshop: the fluid mechanics of volcanic hazards.

Simulation,    Géophysique et géologie

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.

Calcul infinitésimal, équations différentielles et intégrales,    Mathématiques numériques

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

The upcoming workshop on the analysis of wastewater and environmental surveillance data aims to revolutionize how we handle and interpret wastewater data through advanced statistical methods. Participants will focus on newly developed statistical approaches and optimization of existing models, with a special emphasis on how to prioritize avenues of research that not only generate insightful academic results but are also feasible, impactful, and capable of addressing immediate public health needs. This thoughtful approach will help bridge scientific discovery and real-world implementation. The workshop will also work toward establishing a standardized framework to evaluate and enhance the performance of wastewater models. By fostering collaboration among statisticians, engineers, biologists, and public health experts, the event seeks to generate innovative, practical solutions. Additionally, it will provide public health decision-makers with reliable tools for interpreting wastewater data, helping them make informed decisions during health crises.

Hydrologie,    Gestion des déchets, traitement de rebut et la protection de l'environnement

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

The mathematics of Design Theory traces its roots back to antiquity, with Latin squares appearing in medieval Islamic manuscripts and in the 17th and 18th century works of Choi Seok-jeong, Jacques Ozanam and Leonhard Euler. The subject is known for its longstanding open problems, many of which took over a century to resolve: Euler's 36 Officers Problem was posed in the 18th century and solved by Tarry in 1900; the Existence Problem for Combinatorial Designs was posed in the 19th century and solved for large orders by Keevash in 2014. The impetus for this workshop comes from the dramatic advances that have been made in Design Theory during the last decade since this breakthrough. This period has seen an explosion of solutions for large orders to high profile classical problems in Design Theory, based on the key new idea that probabilistic arguments, often in conjunction with algebraic constructions, can yield powerful new approaches for finding these solutions for large orders. The time is therefore ripe for bringing together experts in both the new and classical methods of Design Theory to share ideas, make new collaborations, solve problems and identify important directions for future research.

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.