Conferences  >  Mathematics  >  Calculus, Differential Equations and Integration  >  United Kingdom

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

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.

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.