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Field
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Project Supervisor - Dr Jonathan Kirby The field of complex numbers is in many ways the most elegant and important example of a mathematical structure in model theory. It has been the prototype
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When light illuminates nano-sized metallic structures, the free electrons in the metal collectively oscillate, creating `plasmons'. By specifically designing the geometry and arrangement of the nano-metallic structures, one can direct and concentrate light at small enough volumes, to create...
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Quantum field theory (QFT) is the framework that describes most quantum phenomena in the universe. One of the greatest open problems in QFT is to give a systematic way to understand strongly
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systems? In this project, we will partially address these questions and study prototype LC systems e.g., LCs inside shells, cylinders, cuboids etc. within the celebrated Landau-de Gennes theory for LCs
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including number theory, dynamical systems, probability theory, equidistribution theory and optimal transport. The aim of the PhD project is to develop a flexible framework based on harmonic analysis to study
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Can We Teach AI to Outsmart Humans in the Werewolf Game—Without Changing the AI Itself? Large Language Models (LLMs) have dazzled us with their ability to converse, code, and create—but they still
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Project Supervisor - Professor Shaun Stevens The representation theory of p-adic groups has been a highly active area of research over the last fifty years, motivated by the Local Langlands
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analytical frameworks grounded in Mean Field Game (MFG) theory and Multi-Agent Reinforcement Learning (MARL), which are tailored for eCPS. These frameworks will facilitate the creation of effective control
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including: * Algorithmic game theory * Approximation algorithms * Automata and formal languages * Combinatorics and graph algorithms * Computational complexity * Logic and games * Online and dynamic
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partnership and will provide bespoke training in behavioural fieldwork (Darden—Exeter), ecophysiology, sensory ecology (How—Bristol), game theory and evolutionary simulations (Fawcett—Exeter). There are many