Our people
Over 110 people work in the Department of Mathematics.
Find contact details and explore who does what.
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G/N/148B
Research interests:
- Mathematical physics
- Variational theory and its applications
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Research interests:
- Algebraic groups
- Representation theory
- Geometric invariant theory
- Random walks on algebraic structures
Research interests:
- Biological fluid dynamics: active media, bioconvection and biofilms
- Plankton patchiness and bloom dynamics
- Interfacial instabilities
- Bioreactors, ecology and biocontrol
- Physiology
Research interests:
- Metric number theory
- Diophantine approximation
- Geometry of numbers
- Uniform distribution
- Measure and probability theory
- Fractal geometry
- Ergodic theory, dynamical systems
- Applications of diophantine approximation (in PDEs, signal processing, etc.)
Research interests:
- Algebraic quantum field theory
- Operator algebras
Research interests:
- Combinatorics
- Lie theory
- Knot theory
- Categorical representation theory
Research interests:
- Stochastic analysis
- Stochastic partial differential equations
- Equations of mathematical physics (Navier-Stokes, Equler, wave and Landau-Lifshitz-Gilbert)
- Mathematical foundations of the Feynman path integrals
Research interests:
- Ergodic theory
- Dynamical systems
Research interests:
- Quantum information theory
- Quantum technologies
- Foundations of quantum mechanics
Research interests:
- Applied probability
- Convergence rates of random walks
- Perfect simulation
- Probabilistic coupling
Research interests:
- Stochastic models
- Theoretical population genetics
- The evolution of coopoeration, multicellularity and sexual reproduction
- The maintenance and stability of complex ecosystems
Research interests:
- Mathematical physics, especially classical and quantum field theory
- Two-dimensional integrable quantum field theories with boundaries and defects
Research interests:
- Mathematical physics
- Quantum information
G/N/148B
Research interests:
- Nonstandard analysis (especially Loeb spaces) and applications (especially in probability and stochastic analysis)
Research interests:
- Stochastic analysis
- Global analysis
- Mathematical physics
Dr Pierre-Philippe Dechant
Research interests:
- Size-based models of marine ecosystems
- Scale invariance in ecological modelling
- Computational ecology and deep learning
Research interests:
- Representation theory of symmetric groups
- Iwahori–Hecke algebras
- Ariki-Koike algebras
- KLR algebras
G/N/148B
Research interests:
- Number theory
- Dynamical systems
- Harmonic analysis and applications
Research interests:
- Algebra, especially Lie type representation theory
Research interests:
- Commutative algebra and its interactions with algebraic geometry
- Invariant theory
- Separating invariants
- Applications of invariant theory and commutative algebra
- Structural and practical identifiability of mathematical models, in particular identifiability and reparameterization of ODE models with time-series or steady-state data
Research interests:
- Stochastic and kinetic modeling in biology
- RNA viruses
- Ribosome kinetics
- Applied group and representation theory
Research interests:
- Homological methods in algebra
- Partial symmetry
- Representation theory
- Geometric manifolds
Research interests:
- Functional analysis
- Operator theory
- Applications
Research interests:
- Computational mathematics
- Dynamical systems
- Data analysis
Research interests:
- Quantum information theory
- Foundations of quantum theory
- Certification of quantum devices
Research interests:
- Quantum field theory in curved spacetimes
- Algebraic quantum field theory
- Relativistic aspects of quantum information theory
Research interests:
- Representation theory
- Cohomology of algebraic groups and related objects, including quantum groups, symmetric groups and Hecke algebras.
Research interests:
- Algebraic semigroup theory
- Theory of semigroup acts
- Model theory of semigroups and acts
- Endomorphisms of universal algebras
Research interests:
- Representations of reductive algebraic groups and related topics
- Tilting objects in highest weight categories
- Homological methods in representation theory
- Tensor categories, tensor ideals
- (Diagrammatic) categorification
- Coxeter groups, Hecke algebras, Soergel bimodules
G/N/113
Research interests:
- Mathematical finance
- Stochastic analysis
G/N/148B
Research interests:
- Analytic number theory and analysis
Research interests:
- Data science
- Time series
- Statistics in sport
- Teaching and learning pedagogy
Research interests:
- Quantum field theory
- Differential geometry
- Quantisation
- Algebraic aspects of deformations
G/N/106
Research interests:
- Modular representation theory
- Diagrammatic Hecke category
Research interests:
- Quantum information theory
Research interests:
- Quantum field theory
Research interests:
- Analytic number theory
- Random matrix theory
- Riemann zeta function
Research interests:
- Algebra
- Topology
- Combinatorics (in particular the combinatorial and homological aspects of knot invariants)
Research interests:
- Fluid dynamics
- Magnetohydrodynamics
- Hydrodynamic stability theory
Dr Boda Kang
G/N/148B
Research interests:
- Quantum fields
- Quantum gravity
- Fundamental problems in quantum theory
G/N/113
Research interests:
- Algebra, namely affine Kac-Moody groups over finite fields and related topics
- Mathematical pedagogy
Research interests:
- Nonstationary time series
- Wavelet multiscale methods
- Networks
- Long-memory processes
G/N/040
Research interests:
- Asymptotic analysis for acoustic wave propagation
- Diffraction/scattering theory
- Kinematic/dynamical modelling of non-homogeneous turbulence in jets
Research interests:
- Mathematical biology
Research interests:
- Metric number theory
- Diophantine approximation and their links with fractal geometry
Research interests:
- Functional data analysis
- High-frequency financial econometrics
- Network and time series modelling
- Nonparametric and semiparametric methods
Research interests:
- Stochastic analysis
- Rough paths
- Probabilistic numerical methods
- Data science
Research interests:
- Integrable models and quantum groups
- Operations research and military history
- Probability forecasting
G/N/102
Research interests:
- Symplectic geometry
- Multisymplectic geometry
- Perturbative algebraic quantum field theory
Research interests:
- Differential geometry of surfaces, mostly harmonic maps and minimal surfaces, using vector bundle and Higgs bundle methods
G/N/104
Research interests:
- Representation theory of symmetric and related groups
Research interests:
- Algebraic and combinatorial aspects of the representation theory of quantum affine algebras, including applications to quantum integrable systems.
Research interests:
- Bayesian statistics
- Computational statistics
- Finite mixture distributions
- Time series
Research interests:
- Mathematical biology and chemistry
B/C/011
Research interests:
- Mathematical biology and ecology
- Dynamical systems
- Stochastic processes
Research interests:
- Computational statistics
- Bayesian methodology
- Time series and forecasting
- Machine learning
G/N/104
Research interests:
Research interests:
- Mathematical physics
- Quantum information
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Research interests:
- Mathematical biology and chemistry
Research interests:
Differential Geometry
Group Theory
Quantum Mechanics
Research interests:
- Quantum field theory
- Quantum gravity
- Operator algebras
Research interests:
- Pricing and hedging of options in models with imperfections
- Novel financial models
G/N/148B
Research interests:
- Geometric theory
- Fourier series
- Harmonic maps
Research interests:
- Number theory
- Geometry and analysis
Research interests:
- Mathematical physics
- Quantum information
G/N/148B
Research interests:
- Measure theory
- Probability
- Traffic flow
Dr Harry Southworth
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Research interests:
- Mathematical physics
- Quantum information
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Research interests:
- Investment under uncertainty
- Applications of optimal stopping theory
- Timing games
- Theory of incomplete markets
Research interests:
Pure mathematics (geometric analysis)
Statistical methodology (Bayesian methods)
Medicine (analyses for clinical trials)
Education research.
Research interests:
- Mathematical biology and chemistry
Research interests:
- Number theory
- Dynamical systems
- Discrete groups
Research interests:
- Integrable systems
- Classical and quantum integrable field theories
Dr Paul Voutier
Research interests:
- Non-relativistic quantum mechanics, including quantum information and the foundations of quantum theory
Research interests:
- Moduli spaces arising in gauge theory, particularly moduli of Higgs bundles and quiver varieties, using Morse theory and geometric flows.
Research interests:
- Mathematical modelling
- Collective motion
- Systems biology
- Operations research
Research interests:
- Geometry and analysis
Research interests:
- Mathematical finance
- Stochastic analysis
- Mathematical physics
Research interests:
- High dimensional/big data analysis
- Financial data analysis
- Nonparametric modelling
- Nonlinear time series
- Survival analysis
- Functional data analysis
- Spatial data analysis
- Multi-level modelling
- Structural equation models
Research interests:
- Copula method
- High-dimensional statistics
- Survival analysis
- Statistical inference for deep neural networks
Research interests:
- Copula method
- High-dimensional statistics
- Survival analysis
- Statistical inference for deep neural networks