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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.

Applied Mathematics (in general),    Modeling and Simulation,    Systems Biology and Computational Biology

University Hassan II Casablanca, Faculty of Science

The objective of the conference is to bring together researchers working on different aspects of nonlinear dynamics to present, discuss and disseminate recent advances in mechanical vibrations, applied physics, and applied dynamical systems.

Email: csndd2026@sciencesconf.org

The conference covers the following topics (but not limited to): Nonlinear Energy Harvesting and Energy Transfer Nonlinear behavior and control of MEMS, NEMS and AFM vibrating Systems Deterministic, Stochastic Dynamics, Control of Oscillating Systems and their Applications to Engineering and Science Systems with Time Delay Experiment in Nonlinear System and Control Modeling, Control and Analysis of Switching Systems Structural Health Monitoring Bifurcation and Stability in Nonlinear Systems Vibrations and Vibro-acoustic of Structures Non-Smooth Dynamics Network Dynamics and Control Neuro and Brain Dynamics Data-Driven and Machine Learning in Vibrations and Dynamics Dynamics in Fractional Order Systems PDEs and their Dynamics

Acoustics, Noise and Vibration,    Complex Systems, Chaos and Self-Organisation

American Institute of Mathematics, Pasadena, California (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to studying arithmetic dynamics of multiple maps. In classical arithmetic dynamics, we consider the iteration of a single endomorphism of a variety defined over a field of arithmetic interest — typically a number field or the function field of a curve. An exciting new direction in arithmetic dynamics that holds particular promise for striking new results is what we call "dynamics of multiple maps": dynamical behavior arising from the interaction of two or more endomorphisms on the same space. This includes iteratively applying rational functions on P1 chosen at random from a family according to some probability distribution; a correspondence from a variety X to itself; and forming words from a non-commuting family of involutions on a K3-surface.

Geometry and Topology,    Algebra

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.

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

ICERM/Brown University

The ICERM workshop "Fluid Dynamics and Turbulence" focuses on advancing the mathematical understanding of fluid dynamics, particularly the intricate phenomenon of turbulence. It aims to explore recent breakthroughs in the analysis of fluid equations, such as the Navier-Stokes and Euler equations, addressing fundamental questions of well-posedness, singularity formation, stability, and anomalous energy dissipation. The workshop will explore cutting-edge mathematical techniques, including singularity formation, anomalous dissipation, convex integration, optimal transport, and regularity theory for partial differential equations.

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

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.

Analysis,    Applied Mathematics (in general)

Bernoulli Centrer, EPFL, Lausanne, Switzerland

This workshop provides a platform for young researchers to present their work, engage in discussions, and foster collaboration and idea-sharing in the fields of stochastic analysis and stochastic geometric analysis.

Solution Theory, Large-Time Dynamics, Ergodicity, and Limit Theorems, Mathematical Models from Natural and Social Sciences, Geometric Properties of Stochastic Processes, including processes on manifolds, Multi-Time Scale Stochastic Dynamics

Courses and Events for Math Students and Early Career Researchers,    Probability and Statistics, Game Theory,    Analysis

Geometry and Topology,    Mathematical Logic and Foundations,    Courses and Events for Math Students and Early Career Researchers

Simons Laufer Mathematical Sciences Institute (SLMath)

The workshop aims to bring together researchers working on different facets of stochastic PDEs. The field of stochastic PDEs has seen many new techniques recently appear to tackle different problems, including renormalization, large scale and long-time behaviours, stochastic fluid dynamics, and homogenization. The goal of the workshop is to facilitate discussions and allow different communities to engage with one another one.

stochastic partial differential equations, regularity structures, paracontrolled calculus, nonlinear dispersive equations, Gibbs measures, homogenization, stochastic fluid dynamics, quantum field theory

Calculus, Differential Equations and Integration,    Analysis

Isaac Newton Institute for Mathematical Sciences

Mathematical Physics,    Geometry and Topology

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).

Applied Mathematics (in general),    Number Theory, Arithmetic,    Mathematical Physics

Biophysical Society (BPS)

University of Münster

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

European Molecular Biology Organization (EMBO)

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

The High-dimensional Learning Dynamics (HiLD) workshop aims to advance our understanding of machine learning in the context of high-dimensional data, which is increasingly common as models and datasets grow in size. The workshop focuses on developing insights into how these machine learning algorithms behave in complex, high-dimensional settings, such as deep neural networks and large language models. By bringing together researchers from diverse fields, this workshop aims to develop both practical and theoretical strategies for more efficient and effective training of large-scale machine learning models. This research is critical as it can lead to better-informed decisions in model design and training, ultimately improving computational efficiency and outcomes in AI.

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.

Applied Mathematics (in general),    Calculus, Differential Equations and Integration,    Mathematical Physics

ICERM/Brown University

The aim of the workshop is to explore the implications and next steps of recent advances in understanding the dynamics and thermodynamics of near extremal black holes. By bringing together researchers in this area spanning the wide range of approaches, from rigorous mathematics, perturbation theory, and numerical methods, the workshop will focus on future directions. Extremal black holes are mathematical solutions of Einstein's equations describing stationary black holes with either maximal spin or maximal charge, and these black holes have special properties such as zero temperature. Recent studies have found certain surprising aspects of their dynamics including scalar hair and an avenue for their formation from subextremal configurations that violate the third law of black hole thermodynamics. These results raise a number of questions including the stability and critical behavior of such solutions that may be addressed via other research avenues.

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

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

EMBL Heidelberg

Disparaged as “selfish DNA” for decades, it’s now clear that transposable elements (TEs) underlie the remarkably dynamic nature of bacterial, plant, and animal genomes. This conference builds on the highly successful 2021 and 2023 Mobile Genome EMBO workshops and has emerged as the major European venue in this ever-growing cross-disciplinary research field. The 2025 Mobile Genome conference will assemble recognized experts from diverse disciplines (e.g., genomics, epigenetics, structural biology, evolutionary biology, and developmental biology), as well as the next generation of scientists who will become leaders in the field, to discuss the broad impact of TEs on organismal biology. A dedicated discussion session focused on technological and conceptual advances will augment the program to provide a forum for cross-disciplinary interaction among attendees with the goal of catalyzing collaborative opportunities to address new questions and challenges in TE research.

Julia Patricia Nohle;     Email: julia.nohle@embl.de

Genetics and genetic disorders,    Molecular Biology

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.

Applied Mathematics (in general),    Modeling and Simulation,    Systems Biology and Computational Biology