School of Mathematics

The UK Operator Algebra Conference brings together speakers broadly studying operator algebras such as C*-algebras, von Neumann algebras, and non-self-adjoint operator algebras. Such algebras are foundational in the study of quantum mechanics and noncommutative geometry, and have been of intense interest for the past 50 years.

Event Website

The workshop will cover recent progress in the following broadly defined but closely intertwined topics.

 Cohomology and modular representation theory of finite groups

 Hochschild cohomology

 Algebraic topology

Tensor-triangular geometry

 Finite tensor categories

This workshop centers on the representation theory of finite groups and closely related structures. Some areas of the field are well-established and classical, while others include subjects born only recently. All are being rapidly evolving and actively explored by diverse research communities. These communities, often located in different regions around the world, offer distinct perspectives and approaches to the subject. A central aim of the workshop is to bring together experts and early-career researchers from these various groups, providing a forum to share progress, exchange ideas, and ask each other questions.  The workshop also offers an opportunity to celebrate Dave Benson’s 70th birthday, which falls in December 2025. Dave’s work has had a profound influence on many of the themes represented at this meeting, and we look forward to honoring his contributions during the event.

Event Website

Payment to be made after you have been accepted as a participant only. Payment alone does not guarantee a place at this workshop.

The String Math conference has been running annually since 2011, bringing together mathematicians and physicists who work at the interface between string theory, quantum field theory, and mathematics.

Event Link

An event to bring users of HiGHS and JuMP together.

Event Website

1 week postgraduate summer school in mathematical general relativity.

Universality in the Kardar-Parisi-Zhang class and random matrix theory.

This workshop is motivated by recent developments arising from the interplay between rigidity theory, algebraic combinatorics and algebraic statistics. One day of the workshop week will be held jointly with the UK Applied Algebra and Geometry Network to encourage collaboration and exchange of ideas. The workshop will start at 9.00 on Monday 18 May and finish with lunch at 13.00 on Friday 22 May.

Event Website

Confirmed workshop topic titles are:

Traditional Research Groups:

Non-commutative (crepant) resolutions of singularities

Polynomial interpolation problems in higher dimensions

Proposed Research Groups:

Markov bases of toric ideals

Homological properties of neural ideals

Algebraic approaches to maximum likelihood thresholds for coloured Gaussian graphical models

Dialogue Groups:

Commutative algebra methods in topological data analysis

Singularity bias in polynomial neural networks

Event Website

Recent research has pointed to fundamental underlying relationships between each of three sub-fields of combinatorics: matroid theory, structural graph theory, and topological graph theory. While the connection between matroids and graphs is long-established, newer foundational links with topological graph theory are creating fresh opportunities for cross-disciplinary advances.

The purpose of this workshop is to provide the first dedicated forum to bring together experts in all these three fields to share techniques and approaches, and seed ongoing cross-disciplinary collaboration and advances.

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.

Event Website