该系在表征理论，数学物理学和数学生物学领域进行世界一流的研究。表征理论小组在主流现代表征理论方面拥有广泛的专业知识。研究重点是获得对代数，组合，几何和拓扑结构的深刻概念理解。专业领域的主要领域是：有限维代数，对称群和Hecke代数，有限和代数群的表示形式，Brauer和其他图代数，三角分类和dg分类，融合系统，算子和同伦代数。数学生物学小组运用数学方法来增进我们对生物学世界的了解。中心重点是进化的数学模型。主要的研究重点是：进化稳定策略的应用，特定动物行为的演化，例如：脚踝寄生和生物信号传递，文化进化过程
Our Mathematics PhD/MPhil is a research programme enabling you to specialise in one of three areas, advancing wider understanding and shaping your profile as an expert mathematician.<br>You will conduct world class research for Mathematics at City in topics such as representation theory, mathematical physics or applied mathematics. The research focus of our representation theory group involves conceptual understanding of algebraic, combinatorial, geometric and topological structure. If you want to become a specialist in mathematical physics, you may undertake research in topics such as quantum field theory, quantum mechanics and string theory. Our expertise in techniques and methods originally developed within integrable systems creates a uniquely cohesive environment. You will be embedded in our applied mathematics group if your research interest concerns how mathematical methods and models can be firmly applied to biological, social or fluid systems. Our key research activities include applications of evolutionarily stable strategy, and the evolution of specific animal behaviour such as kleptoparasitism, evolutionary modelling on networks/graphs and magnetohydrodynamics.