Departmental officers
Department management team
Research interests:
- Biological fluid dynamics: active media, bioconvection and biofilms
- Plankton patchiness and bloom dynamics
- Interfacial instabilities
- Bioreactors, ecology and biocontrol
- Physiology
Research interests:
- Pricing and hedging of options in models with imperfections
- Novel financial models
Research interests:
- Quantum field theory in curved spacetimes
- Algebraic quantum field theory
- Relativistic aspects of quantum information theory
Research interests:
- Algebraic groups
- Representation theory
- Geometric invariant theory
- Random walks on algebraic structures
Research interests:
- Quantum information theory
- Quantum technologies
- Foundations of quantum mechanics
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:
- Functional data analysis
- High-frequency financial econometrics
- Network and time series modelling
- Nonparametric and semiparametric methods
Research interests:
- Investment under uncertainty
- Applications of optimal stopping theory
- Timing games
- Theory of incomplete markets
Research interests:
- Quantum field theory
- Quantum gravity
- Operator algebras
B/C/011
Research interests:
- Mathematical biology and ecology
- Dynamical systems
- Stochastic processes
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
Other committee and administrative roles
Research interests:
- Differential geometry of surfaces, mostly harmonic maps and minimal surfaces, using vector bundle and Higgs bundle methods
Research interests:
- Quantum field theory
- Differential geometry
- Quantisation
- Algebraic aspects of deformations
Research interests:
- Computational statistics
- Bayesian methodology
- Time series and forecasting
- Machine learning
Research interests:
- Bayesian statistics
- Computational statistics
- Finite mixture distributions
- Time series
Research interests:
- Stochastic analysis
- Rough paths
- Probabilistic numerical methods
- Data science
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:
- Moduli spaces arising in gauge theory, particularly moduli of Higgs bundles and quiver varieties, using Morse theory and geometric flows.
Research interests:
- Non-relativistic quantum mechanics, including quantum information and the foundations of quantum theory
Research interests:
- Algebraic semigroup theory
- Theory of semigroup acts
- Model theory of semigroups and acts
- Endomorphisms of universal algebras
Year Tutors
Research interests:
- Metric number theory
- Diophantine approximation and their links with fractal geometry
Research interests:
- Homological methods in algebra
- Partial symmetry
- Representation theory
- Geometric manifolds
Research interests:
- Mathematical physics, especially classical and quantum field theory
- Two-dimensional integrable quantum field theories with boundaries and defects