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Over 110 people work in the Department of Mathematics.

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Dr Benito A Juárez Aubry

EPSRC Research Fellow

Research interests:

  • Quantum field theory
  • Gravitation
  • Relativistic quantum information

Research interests:

  • Algebraic groups
  • Representation theory
  • Geometric invariant theory
  • Random walks on algebraic structures

Professor Martin A Bees

Head of Department

Professor

Research interests:

  • Biological fluid dynamics: active media, bioconvection and biofilms
  • Plankton patchiness and bloom dynamics
  • Interfacial instabilities
  • Bioreactors, ecology and biocontrol
  • Physiology

Professor Victor Beresnevich

Professor

Head of Pure Section

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:

  • 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

Dr Dalia Chakrabarty

Reader in Statistical Data Science

Dr Zaq Coelho

Lecturer

Research interests:

  • Ergodic theory
  • Dynamical systems

Professor Roger Colbeck

Professor

Head of Applied Section

Research interests:

  • Quantum information theory 
  • Quantum technologies 
  • Foundations of quantum mechanics 

Dr Stephen Connor

Reader

Chair of Board of Examiners

Research interests:

  • Applied probability 
  • Convergence rates of random walks 
  • Perfect simulation 
  • Probabilistic coupling

Dr George Constable

Senior Lecturer

Chair, Assessment Committee and Exams Officer

Research interests:

  • Stochastic models
  • Theoretical population genetics 
  • The evolution of coopoeration, multicellularity and sexual reproduction
  • The maintenance and stability of complex ecosystems

Research interests:

  • Stochastic analysis
  • Global analysis
  • Mathematical physics

Dr Gustav W Delius

Senior Lecturer

Research interests:

  • Size-based models of marine ecosystems
  • Scale invariance in ecological modelling
  • Computational ecology and deep learning

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

Dr Eric Dykeman

Senior Lecturer

Research interests:

  • Stochastic and kinetic modeling in biology
  • RNA viruses
  • Ribosome kinetics
  • Applied group and representation theory

Dr Brent Everitt

Reader

Director of Global Partnerships

Research interests:

  • Homological methods in algebra
  • Partial symmetry
  • Representation theory
  • Geometric manifolds

Dr Simon Eveson

Senior Lecturer

Research interests:

  • Functional analysis
  • Operator theory
  • Applications

Dr Máté Farkas

Lecturer

Research interests:

  • Quantum information theory
  • Foundations of quantum theory
  • Certification of quantum devices

Professor Chris Fewster

Professor

Deputy Head of Department for Research

Chair, Department Research Committee

Research interests:

  • Quantum field theory in curved spacetimes
  • Algebraic quantum field theory
  • Relativistic aspects of quantum information theory

Dr Haralampos Geranios

Royal Society University Research Fellow and Reader

Research interests:

  • Representation theory
  • Cohomology of algebraic groups and related objects, including quantum groups, symmetric groups and Hecke algebras.

Professor Victoria Gould

Professor

Fellowships Champion

Research interests:

  • Algebraic semigroup theory
  • Theory of semigroup acts
  • Model theory of semigroups and acts
  • Endomorphisms of universal algebras

Dr Jessica Hargreaves

Lecturer

Impact and Knowledge Exchange Lead

Research interests:

  • Data science
  • Time series
  • Statistics in sport
  • Teaching and learning pedagogy

Dr Eli Hawkins

Senior Lecturer

Research interests:

  • Quantum field theory
  • Differential geometry
  • Quantisation
  • Algebraic aspects of deformations

Research interests:

  • Quantum field theory

Dr Christopher Hughes

Reader

Chair, Graduate Research School Committee

Research interests:

  • Analytic number theory
  • Random matrix theory
  • Riemann zeta function

Research interests:

  • Fluid dynamics
  • Magnetohydrodynamics
  • Hydrodynamic stability theory

Professor Marina Knight

Professor

Head of Statistics Section

Research interests:

  • Nonstationary time series
  • Wavelet multiscale methods
  • Networks
  • Long-memory processes

Research interests:

  • Asymptotic analysis for acoustic wave propagation
  • Diffraction/scattering theory
  • Kinematic/dynamical modelling of non-homogeneous turbulence in jets

Dr Jason Levesley

Senior Lecturer

First Year Tutor

Research interests:

  • Metric number theory
  • Diophantine approximation and their links with fractal geometry

Professor Degui Li

Emeritus Professor

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

Professor Niall MacKay

Professor

Outreach Coordinator

REF Coordinator

Research interests:

  • Integrable models and quantum groups
  • Operations research and military history
  • Applied statistics and forecasting

Dr Ian McIntosh

Senior Lecturer

Deputy Chair, Board of Studies

Research interests:

  • Differential geometry of surfaces, mostly harmonic maps and minimal surfaces, using vector bundle and Higgs bundle methods

Research interests:

  • Algebraic and combinatorial aspects of the representation theory of quantum affine algebras, including applications to quantum integrable systems.

Dr Stefano Negro

Lecturer

Research interests:

  • Classical and quantum field theories in low space-time dimensions.
  • Integrable systems.
  • Generalised TTbar deformations and the ODE/IM correspondence.

Dr Aristide Ndongmo Ngana

UKRI Guarantee Postdoctoral Fellowship

Research interests:

  • Mathematical biology and ecology
  • Dynamical systems
  • Stochastic processes

Dr Ben Powell

Lecturer

Director of Admissions

Research interests:

  • Computational statistics
  • Bayesian methodology
  • Time series and forecasting
  • Machine learning

Dr Matthew Pusey

Lecturer

Research interests:

  • Mathematical physics
  • Quantum information

Dr Dmitri (Mitya) Pushkin

Senior Lecturer

Research interests:

  • Mathematical biology and chemistry

Dr Nimit Rana

Lecturer

Careers and Employability Academic Lead

Research interests:

Classical and singular stochastic (geometric)

Partial differential equations (SPDEs) 

Professor Kasia Rejzner

Chair of Board of Studies

Research interests:

  • Quantum field theory
  • Quantum gravity
  • Operator algebras

Dr Alet Roux

Senior Lecturer

Deputy Head of Department for Teaching

Research interests:

  • Pricing and hedging of options in models with imperfections
  • Novel financial models

Professor Jacco Thijssen

Professor

Head of Section, Mathematical Finance

Research interests:

  • Investment under uncertainty
  • Applications of optimal stopping theory
  • Timing games
  • Theory of incomplete markets

Research interests:

  • Mathematical biology and chemistry

Research interests:

  • Number theory
  • Dynamical systems
  • Discrete groups

Research interests:

  • Integrable systems
  • Classical and quantum integrable field theories

Research interests:

  • Non-relativistic quantum mechanics, including quantum information and the foundations of quantum theory

Dr Graeme Wilkin

Lecturer

Undergraduate Admissions Officer

Research interests:

  • Moduli spaces arising in gauge theory, particularly moduli of Higgs bundles and quiver varieties, using Morse theory and geometric flows.

Professor Andrew (Jamie) Wood

Professor

Chair of Equality, Diversity and Inclusivity Committee (EDI)

Research interests:

  • Mathematical modelling
  • Collective motion
  • Systems biology
  • Operations research

Dr Yue Zhao

Lecturer

Director of MSc in Statistics and Computational Finance

Research interests:

  • Copula method
  • High-dimensional statistics
  • Survival analysis
  • Statistical inference for deep neural networks

Research interests:

  • Number Theory, Diophantine Approximations, Metric Number Theory, Elimination Theory, Transcendence Theory, Algebraic Geometry,  geometry of numbers, Arakelov’s Geometry, measure and probability theory, ergodic theory, dynamical systems.

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Honorary doctorates