School of Mathematics

This LMS Research School for PhD students and early stage researchers is devoted to quantum machine learning (QML) and quantum simulations, which constitute active and very promising areas of research. Both QML and Hamiltonian simulations encompass interesting mathematical structures and give a gateway into deep, open questions in computational complexity and quantum advantage. Both topics have generated considerable recent interest because of their applicability on current and near-term noisy quantum hardware.

The three main lecture courses at the school reflect these concerns and opportunities. Introduction to quantum information and algorithms  will introduce a mathematical audience to the basic concepts and key ideas that are used in constructing efficient quantum algorithms and measuring their effectiveness. The other two courses, Introduction to Quantum Machine Learning  and Hamiltonian Simulation  will look at the application of this framework in machine learning and the simulation of quantum systems and optimization.

Whilst the summer school is primarily designed to equip early career mathematicians with cutting-edge knowledge that will allow them to approach the current research landscape in QML, the courses and plenary talks will also address the wider industrial and societal impact of the research area.

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The area of integrable systems is a large and active area of research with lots of fruitful connections with algebra, geometry, analysis and theoretical physics. The workshop is devoted to interactions between integrability and geometry, highlighting recent developments where there has been substantial progress both in terms of establishing new connections and new structures. 

The workshop will be centred around the following overlapping topics: Cherednik algebras and many-body problems; Poisson geometry, deformations and quantisation; Frobenius manifolds; discrete geometry and discrete dynamics.

The workshop will also be an occasion to celebrate the 70th birthday of Alexander Veselov who made foundational contributions to Integrable Systems and related areas. 

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The aim of this workshop is to discuss the recent advances and new developments in the research area of anabelian geometry and the theory of arithmetic fundamental groups. This includes among others the newly discovered versions of the Grothendieck anabelian conjectures for hyperbolic curves and finitely generated fields, new results on the section conjecture, new developments in the theory of multizeta values, and the recent developments in combinatorial anabelian geometry  and Grothendieck-Teichmuller theory.

We aim to bring together experts in the field, as well as researchers who are interested in the theory of arithmetic fundamental groups and its applications, in order to discuss these developments and explore further research directions and possible applications.

Following the success of the first Workshop on Climate Change and Insurance  https://fam.tuwien.ac.at/events/cci2024/ held in Vienna, we are delighted to announce that the second edition, CCI 2025, will take place in the beautiful city of Edinburgh from September 10 to 12, 2025.

The workshop continues its mission to deepen our understanding of how climate change impacts the insurance industry and to foster collaboration between actuaries and academics on both national and international levels.

Registration Fees

Early Bird (by June 30th):
PhD students & full-time academics: 270 GBP
Industry professionals: 370 GBP

Standard fee (after June 30th):
PhD students & full-time academics: 370 GBP

This strategic workshop will bring together applied mathematicians with physical volcanologists to tackle major challenges in predicting and understanding lava flows.

The aim of mathematical modelling of lava flows is to reduce the complex physical system into a simpler configuration that retains enough key processes to provide valuable insights. The skill of the modeller is in selecting the processes that are included and thus close collaboration with volcanologists is vital for success. At this workshop, we will deploy this collaborative modelling methodology to research questions including:

How to best mathematically capture non-isothermal features of lava flows?

What physics controls the bifurcation of lava flows?

What kind of data is needed to drive the next steps of mathematical model development?

This is a two-week research school under the ICMS Mathematics for Humanity programme, facilitating interaction between researchers from China, India, and the UK. The programme holds numerous potential benefits for academic research, dissemination, and fostering collaboration. The vision is that this is the first in a series of schools, conferences, and workshops rotating between China, India and the UK.

The first week will consist of pedagogical overviews and tutorials of topics in string theory and mathematical physics. There will be a more intensive workshop-style atmosphere in the second week to give participants an overview of contemporary research topics. The lecturers include Vijay Balasubramanian, Pawel Caputa, Chi-Ming Chang, Atish Dabholkar, Rajesh Gopakumar, Sergei Gukov, Yu-Tin Huang, Alok Laddha, Hong Liu, Wei Song.

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

Please click on the "More Info" page for the event description.

An event to bring users of HiGHS together.

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Combinatorics has experienced tremendous growth in the last century, and especially in the last few decades. This is in part due to the systematic study of the field that was initiated by many great mathematicians in the beginning of the 20th century. Additionally, the discovery of links between combinatorics and other fields of mathematics, such as algebra, analysis, logic, probability, and number theory, as well as various branches of computer science, showcased the importance of combinatorics and led to the development of an ever-growing toolbox containing methods from various fields.

The focus of this workshop will be on extremal and probabilistic combinatorics which are particular strengths of the UK combinatorics community. The first area typically studies how large (or small) a parameter of a discrete collection of objects can be, provided it satisfies certain conditions, whereas the second seeks to describe typical properties of a discrete object drawn randomly from such a collection. Problems of both types arise naturally not only in combinatorics but also in other areas of mathematics and computer sciences.

Prof Finn Lindgren will lead an introductory two-day course on the inlabru Software


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Please visit the webpage for further information.

Please visit the webpage for further information.

Event Website

This registration fee is covered the attendance of workshop only.

It will take place at ICMS, 26 - 29 May 2025, 4 days.

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