School of Mathematics

Kinetic theory is an area of mathematics which investigates systems that involve many elements using tools from Analysis of PDEs, Probability, and Numerical Analysis and Modelling. While originating in physical systems such as dilute gases, Kinetic Theory’s reach has expanded dramatically in recent decades to include biological, chemical, and even societal phenomena.

This ICMS workshop aims to bring together experts from various facets of Kinetic Theory to share their recent advances and discuss the future of the field. The workshop will also provide ample opportunities for early career researchers to present their research and engage with world renown experts in the field. 

The Many Facets of Kinetic Theory follows on the momentum generated by the INI-supported network, KineticNet which aims to facilitate cohesion, collaboration, and generate a sense of community between the different people working in the field of Kinetic Theory in the UK.

Classifying varieties up to birational equivalence is one of the driving forces for modern research in algebraic geometry. Some of the greatest results in 20th and 21st Century algebraic geometry lie in birational geometry, with both Mori and Birkar awarded the Fields medal for their work in this area. Birational geometry has seen some very healthy and surprising interactions with number theory over the last decade.

Firstly, many of the existing techniques and results in birational geometry only work over the field of complex numbers, due to the use of transcendental methods. There has been a push to make these methods algebraic and make them work over algebraically closed fields of positive characteristic, or even non-algebraically closed fields. Number theory has also fed into birational geometry, with the realisation that rational curves should behave like rational points, i.e. solutions to Diophantine equations.

Recent developments suggest that there is much to be gained at the interface between number theory and birational geometry, and this workshop will be one of the first attempts in the form of an international meeting to explore these interactions.

Please visit the webpage for further information.

Please visit the webpage for further information.

Mathematical models are widely used to inform high-impact decisions for humanity, such as responding to climate change, managing the economy, predicting and controlling renewable energy systems, and dealing with the COVID- 19 pandemic. Improvements in computing power and accessibility and new developments in machine learning have made sophisticated modelling machinery widely available even to people who are not well-acquainted with theoretical fundamentals of modelling and simulation. This workshop will bring together several disciplinary networks that already exist in the UK (such as JUNIPER, V-KEMS, CliMathNet, AU4DM, M2D, DMDU, CRUISSE, various Centres and networks in energy systems, environmental economics, and so on). A small number of non-academic contributors will provide specific agenda-setting perspectives on the use of models by external organisations in different contexts and to ensure that the discussions remain focused on using mathematics to improve the real-world utility of models. The workshop will stimulate exchange of mathematical ideas and techniques across modelling disciplines and development of new tools.

RWAM 2025 is a five-day retreat for female applied mathematicians (or people who identify as female) from all career stages (PhD, postdoc, junior or senior faculty), generally working in the field of Mathematical Modelling and Applications.  Building on the successes of RWAM 2023 and 2024, the 2025 event will follow the same format with keynote lectures, contributed talks, poster session, round-table discussions, working groups and networking time. The objectives of RWAM 2025 remain the same as those of RWAM 2023 and 2024, namely, to create a sense of community and a unified forum for sharing information about scientific opportunities, funding, teaching and career progression. Prior successes include, but are not limit to, a mentoring scheme, new scientific collaborations, follow-up seminar invitations along with increased visibility for all participants, and especially for early career researchers.

This Winter School is a part of an initiative aimed at advancing mathematical education and collaboration, with a specific focus on fostering ties between diverse groups and promoting mathematical modeling as a tool to address biomedical challenges, especially within the African context. Participants will gain valuable skills and experience, contributing to the global effort to enhance mathematical competence and diversity.

It will focus on equipping participants, specifically postgraduate students and early-stage researchers, with the vital skills in mathematical modeling and the fundamental mathematical tools essential for advanced study and research. The program will also foster connections between scholars in Mathematical Biology from the participating countries UK, Africa and abroad.

Please visit the webpage for further information.