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  1. Mathematics, Computer Science and Engineering
  2. Mathematics
    1. Applied Mathematics
    2. Representation Theory
    3. Mathematical Physics
    4. Events
    5. Research Grants
    6. Potential PhD projects
About City

Department of Mathematics

City’s Department of Mathematics brings together high-quality undergraduate education and an active research body of academics and PhD students.

The department has a good reputation for student satisfaction and enviable graduate employability. Our undergraduate Mathematics courses are carried out in conjunction with a range of other departments, producing a truly interdisciplinary approach to the subject. The department’s research, in mathematical biology, mathematical physics, and representation theory, often conducted in collaboration with other institutions, regularly leads to publications in internationally excellent journals and presentations at global conferences.

The superb location of City’s campus provides excellent work experience opportunities for all students. The City of London financial district is home to leading international banks, insurance houses, corporate finance, accounting consultancies and the Stock Exchange. Many of our Mathematics graduates start and develop their professional careers in The City. The department is a supporter of the Good Practice Scheme of the London Mathematical Society, which is committed to working towards addressing the under-representation of women in mathematics in higher education.

Research

The Department of Mathematics contains three research groups undertaking fundamental research in pure and applied mathematics:

Representation Theory Research Group

The representation theory group focuses on modern aspects of the representation theory of finite groups, algebraic groups and related algebras, drawing motivation from geometry, statistical mechanics string theory.

Mathematical Physics Research Group

The mathematical physics group focuses on quantum mechanics, quantum field theory, string theory and fluid dynamics. One of the distinguishing features of the mathematical physics group is its strong expertise on integrable systems.

Mathematical Biology Research Group

The Mathematical Biology group applies mathematical methods to increase our understanding of the biological world, and the central focus is on the mathematical modelling of evolution. There are three main areas of research: evolutionary game theory, cultural evolution, and the modelling of evolution on networks.

Staff

Here is a list of the academic staff who work in the Department of Mathematics. You can find out more about each member of staff, including their latest publications and their contact details by following the links below.

Seminar series

Departmental Seminars 2020-2021

DateSpeaker Titles and abstracts
6th October 2020 Rob Noble, (City, University of London) Characterising and forecasting tumour evolution
13th October 2020 Wolfram Mobius (Exeter)

Two layers of chance associated with spatially expanding populations: How demographic noise and environmental heterogeneity shape the evolutionary path of a population

In nature, populations expand into new habitat at different spatial and temporal scales, from bacterial cells forming a colony all the way to invasive species colonising new geographical regions. The expansion process can thereby affect the evolutionary path of the growing population, a topic that has gathered much interest recently. The effects of environmental heterogeneity on the evolutionary dynamics of such range expansions remains poorly understood so far - not least due to the large variety of environmental heterogeneity found in nature. To understand the effects of this heterogeneity, we use a combination of simulations, analytical theory, and experiments with microbial model systems.In a bottom-up approach we are seeking to first understand the effects of isolated inhomogeneities and then describe the evolution in complex heterogeneous environments. Specifically, we first consider the effects of isolated obstacles and hotspots as well as bumps in an otherwise flat habitat. The former two are regions which hinder and accelerate the invasion, respectively. We find that those structures have characteristic consequences for neutral genetic diversity (the distribution of individuals that are genetically different, but do not have a selective advantage or disadvantage). We observe an additional layer of ‘survival of the luckiest’ – complementary to, yet qualitatively different from, founder effects occurring in the presen
20th October 2020 Alexander Kasprzyk  (Nottingham)

Exploring the landscape of Fano classification

Our understanding of Fano classification via Mirror Symmetry has grown     considerably over the past decade. Although still very much conjectural, we now have systematic ways to begin exploring what this classification might eventually look like. I will describe recent work, joint with Giuseppe Pitton, Liana Heuberger, and others, which builds upon the existing classifications of Fano polytopes in dimensions 3 and 4 and begins to systematically construct examples against which our conjectures and intuition can be tested. This is very-much work-in-progress.

27th October 2020 Bernd Schroers (Edinburgh) Magnetic Skyrmions: Integrable Models and their Applications

Chiral magnetic skyrmions are topological solitons in two-dimensional magnetic systems which are  stabilised by the so-called Dzyaloshinskii-Moriya interaction (DMI). For each DMI term, there is a model for magnetic skyrmions which is integrable and where solitons can be written down explicitly in terms of holomorphic functions. In this talk I will explain the integrable models and how they can be used to obtain magnetic skyrmions in generic (non-integrable) models.  This approach reveals a remarkable diversity of magnetic skyrmions and suggests a new way of interpreting their structure. In particular, configurations with positive topological charge are best understood in terms of one-dimensional domain walls carrying chiral kinks. I will explain this point of view, and speculate about possible generalisations. The first part of the talk is based on arXiv:1905.06285, and the second part on joint work with Vlad Kuchkin, Bruno Barton-Singer, Filipp Rybakov, Stefan Bluegel and Nikolai Kiselev.
10th November 2020 Marika Taylor (Southampton) Spacetime reconstruction and quantum error correction codes
The holographic paradigm states that spacetime can be reconstructed from the data of a quantum field theory in one less dimension. In recent years there has been considerable interest in the relationship between spacetime reconstruction and quantum error correction. Much of the literature has been focussed on low dimensional spacetimes e.g. reconstruction of the hyperbolic plane. In this talk we will explore the relationship between certain classes of quantum error correction codes and reconstruction of general dimensional spacetimes via cellulations.
17th November 2020 Roberto Tateo (Torino)  
24th November 2020 Jacopo Viti (ENS)  
1st December 2020 Paul Bushby (Newcastle)  
8th December 2020 Cesare Guilio Ardito (City)