School of Mathematics

Please visit the webpage for further information.

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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.

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Mathematical physics is an interdisciplinary topic at the crossroads of pure mathematics and theoretical physics. Theoretical physics has been a constant source of inspiration for mathematics over the last decades, pointing to underlying connections between mathematical entities that otherwise would have taken much longer to uncover and guiding many astounding recent developments in diverse topics. Studying properties and applying new mathematical structures is essential to understanding the nature of string theory and quantum gravity. Quoting EPSRC, “The overall quality of research in mathematical physics is very high, and the cross-fertilization between mathematics and physics has been hugely beneficial to both subjects.”

In this workshop, we will have talks and discussions where mathematical rigor and physical intuition merge naturally. The workshop’s primary focus will be on 9 research teams, their chosen areas of study and projects, and interactions between these research teams and other participants.

The main goals of our workshop are twofold: 

Research: make progress on open problems of high interest in diverse areas of mathematical physics.

Networking: bring senior and junior female mathematical physicists together to attack research projects on topics of common interest, thereby expanding the mentorship networks of women in the field.

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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.

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

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.

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Over the past decade, there has been an explosion of interest in the development and application of Approximate Bayesian Inference (ABI) methods across the statistical and machine learning (ML) communities. The rapid pace of progress in ABI has made it increasingly difficult to track development in the field, often leading to unnecessary duplication of methods and results. Without a concerted effort, statistical and ML researchers working on ABI risk drifting apart, to the detriment of both communities.

An event to bring users of HiGHS and JuMP together.

Event Website

Registration and payment on this page are by invitation only. Please proceed only if you have received a registration invitation from Alex Liu. If you have not received an invitation, please contact Alex Liu before registering.

Preconditioning Techniques for Scientific and Industrial Applications, “Preconditioning 2026”, is part of a series of international conferences focusing on preconditioning techniques for sparse and structured matrix computations. The key focus of the conference is meeting timely challenges in mathematical computation with novel, rigorous, and creative iterative linear algebra approaches for scientific applications. Key current areas of active research include theoretical and practical questions related to randomized preconditioning, probabilistic interpretations, the design of efficient tensor-based methods, preconditioners tailored to modern HPC architectures, and physics-based preconditioners for solving extremely large-scale systems in modelling and simulations, to name a few. The meeting brings together researchers developing new methods and tools, along with scientists and engineers addressing complex issues of applying preconditioning techniques in large-scale and industrial settings. 

Please visit the conference website for further details: Website Link

If you are a plenary speaker or a member of the organizing committee, please do not register with this link. You should have received an invitation letter from Alex Liu (ICMS). Please email Alex Liu if you have not received it.

Please visit conference webpage for more information before you register.

Registration fee:

Early bird (until March 16^th): PhD student-£250; Standard-£325.

Standard fee (until April 30^th): PhD student-£300; Standard-£375.

For any queries, please contact us

Onsite catering and social events (welcome reception & conference dinner) are included in the registration fee. Attendees may choose not to attend the conference dinner however no discount or refund will be given. If you cannot attend the conference dinner on Wednesday 10 June, please notify Alex Liu as soon as possible.

1 week postgraduate summer school in mathematical general relativity.

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

This workshop brings together researchers from frieze patterns and the cognate fields of continued fractions and discrete geometry to promote cross-disciplinary interactions in these fertile subjects. The event is framed around the legacy of the English geologist John Farey (1766–1826), who inspired the development of Farey sequences and the Farey tessellation, which are common themes of the workshop. There will be a mathematical art gallery accompanying the workshop to share the outputs of our research. The workshop will start at 9.00 on Monday 20 April and finish with lunch at 13.00 on Friday 24 April.

Event Website

Payment to be made after you have been contacted by ICMS confirming a room has been allocated to you.

Full payment is required by Friday 1 May, 17.00 BST. Any rooms not paid by Friday 1 May will be cancelled with no opportunity to rebook.

Your room will be for 5 nights (check-in Sunday 21 June, check-out Friday 26 June). Breakfast is included. Rooms cannot be booked for double occupancy and the dates cannot be changed/altered.

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

Payment to be made after you have been contacted by ICMS.

Full payment is required by Friday 1 May, 17.00 BST.

Please note that cancellations made after Friday 1st May will not be eligible for a refund, as we are required to confirm final numbers with the hotel and will be liable for the associated costs.

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.