mathematical sciences at the university of Liverpool

Research

The Department of Mathematical Sciences is a research-led department, forming part of the School of Physical Sciences, alongside the departments of Chemistry and Physics. There are strong collaborations with and links to leading teams on campus, across the UK and internationally. The Department is responsible for teaching a wide range of topics across a range of degree programmes in Mathematical Sciences to approximately 1400 full-time undergraduate students (BSc, MMath) and training about 120 postgraduate students (MSc, PhD). The 52 faculty members, carrying out internationally excellent research work, span across five research clusters, four research centres and two research institutes.


Research Clusters

Applied Mathematics, Probability & Statistics

Partial differential equations, waves modelling, continuum mechanics, mathematical imaging, mathematical biology, applied probability and optimal control theory.

Leader: Prof N V Movchan
Deputy: Dr K Sharkey


Financial and Actuarial Mathematics

Ruin theory, insurance modelling, derivative pricing, pensions modelling, stochastic differential equations and control theory.

Leader: Dr C Constantinescu
Deputy: Dr O Menoukeu-Pamen


Fundamental Particle Physics (Theoretical Physics)

Theoretical studies of the elementary particles of nature such as the structure of protons and neutrons as well as developing testable theories for the physics which lies beyond the Standard Model of particle physics.

Leader: Prof J Gracey


Pure Mathematics

Dynamical systems, singularity theory and algebraic geometry.

Leader: Prof V Goryunov
Deputy: Dr V Guletskii


String Phenomenology (Theoretical Physics)

String theory compactifications, supersymmetric field theories, black holes physics, beyond standard model physics, alternative formulation of quantum mechanics.

Leader: Prof A Faraggi


Research Centres


Research Institutes