Skip to content Accessibility statement
Home>Department of Mathematics>People

Our people

Over 110 people work in the Department of Mathematics.

Find contact details and explore who does what.

Asma Alalyani

PhD student

Research interests:

  • Mathematical finance
  • Stochastic analysis

Hessa Alharbi

PhD student

Research interests:

  • Mathematical finance
  • Stochastic analysis

Research Associate

Arnon Archankul

PhD student

Research interests:

  • Mathematical finance
  • Stochastic analysis

Professor Emeritus

Research interests:

  • Mathematical physics
  • Variational theory and its applications

Professor

Chair of Board of Studies

Research interests:

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

Adam Beales

PhD student

Research interests:

  • Quantum information

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

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.)

Reader

Research interests:

  • Combinatorics
  • Lie theory
  • Knot theory
  • Categorical representation theory

Nick Bryant

PhD student

Research interests:

  • Mathematical biology and chemistry

Professor

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

Postdoctoral Research Associate

Dingjia Cao

PhD student

Research interests:

  • Statistics and probability

Lecturer

Research interests:

  • Ergodic theory
  • Dynamical systems

Professor

Head of Applied Section

Research interests:

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

Senior Lecturer

Chair of Board of Examiners

Research interests:

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

Lecturer

Careers and Employability Officer

Research interests:

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

Professor

Third and fourth year tutor

Research interests:

  • Mathematical physics, especially classical and quantum field theory
  • Two-dimensional integrable quantum field theories with boundaries and defects

Associate Lecturer

Departmental Computing Officer (DCO)

Research interests:

  • Mathematical physics
  • Quantum information

Student Services Administrator (Exams and Assessments)

Professor Emeritus

Research interests:

  • Nonstandard analysis (especially Loeb spaces) and applications (especially in probability and stochastic analysis)

Reader

Research interests:

  • Stochastic analysis
  • Global analysis
  • Mathematical physics

Levent Dasar

PhD student

Research interests:

  • Algebra

Dr Pierre-Philippe Dechant

Honorary fellow

Senior Lecturer

Research interests:

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

London Mathematical Society Early Career Fellow

Research interests:

  • Representation theory of symmetric groups
  • Iwahori–Hecke algebras
  • Ariki-Koike algebras
  • KLR algebras

Bethany Dixon

PhD student

Research interests:

  • Number theory

Professor Emeritus

mmd1@york.ac.uk

G/N/148B

Research interests:

  • Number theory
  • Dynamical systems
  • Harmonic analysis and applications

Professor Emeritus

Research interests:

  • Algebra, especially Lie type representation theory

Lecturer

Chair of Equality, Diversity and Inclusivity Committee (EDI)

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

Senior Lecturer

Research interests:

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

Sam Engleman

PhD student

Research interests:

  • Geometry and analysis

Reader

Director of Global Partnerships

Research interests:

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

Senior Lecturer

Research interests:

  • Functional analysis
  • Operator theory
  • Applications

Postdoctoral Researcher

Research interests:

  • Computational mathematics
  • Dynamical systems
  • Data analysis

Lecturer

Research interests:

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

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

Lecturer

Research interests:

  • Quantum information

Professor Emeritus

jbf1@york.ac.uk

G/N/148B

Research interests:

  • Semigroup theory
  • Group theory

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.

Undergraduate Administrator

Student Services Assistant

Professor

Fellowships Champion

Research interests:

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

Ben Graham

PhD student

Research interests:

Mathematical Physics

Postdoctoral Research Associate

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

Professor Emeritus

rrh1@york.ac.uk

G/N/148B

Research interests:

  • Analytic number theory and analysis

Lecturer

Impact and Knowledge Exchange Lead

Research interests:

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

Simon Hart

PhD student

Research interests:

  • Algebra

Zane Hassoun

PhD student

Research interests:

  • Statistics and probability 

Senior Lecturer

Research interests:

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

Postdoctoral Research Associate

Research interests:

  • Modular representation theory
  • Diagrammatic Hecke category

Research Associate

Research interests:

  • Quantum information theory

Daniel Hendron

PhD student

Adam Higgins

PhD student

Research interests:

  • Algebra

Professor

Research interests:

  • Quantum field theory

PhD student

Research interests:

  • Mathematical biology and chemistry

Peter Hines

Honorary Fellow

Research interests:

  • (inverse) semigroup theory 
  • category theory
  • logic (linear and intuitionistic)
  • theoretical computer science
  • quantum computing & foundations
  • cryptography & computer security
  • linguistics & natural language processing
  • algebraic topology
  • cognitive science & psychology
  • information theory

Reader

Research interests:

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

Lecturer

Research interests:

  • Fluid dynamics
  • Magnetohydrodynamics
  • Hydrodynamic stability theory

Cixiao Jiang

PhD student

Research interests:

  • Statistics and probability

Junxuan Jiang

PhD student

Research interests:

  • Statistics and probability

Dr Boda Kang

Honorary visiting fellow

Professor Emeritus

Research interests:

  • Quantum fields
  • Quantum gravity
  • Fundamental problems in quantum theory

Honorary fellow

Shashaank Khanna

PhD student

Research interests:

  • Quantum information

Harkan Kirk-Karakaya

PhD student

Research interests:

  • Mathematical physics

Associate Lecturer

Research interests:

  • Algebra, namely affine Kac-Moody groups over finite fields and related topics
  • Mathematical pedagogy

Professor

Head of Statistics Section

Research interests:

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

Lecturer

Research interests:

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

Bradley Lang

PhD student

Research interests:

  • Mathematical physics

Professor Emeritus

Research interests:

  • Mathematical biology

Deputy Head of Faculty Operations

Senior Lecturer

First Year Tutor

Research interests:

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

Professor

Research interests:

  • Functional data analysis
  • High-frequency financial econometrics
  • Network and time series modelling
  • Nonparametric and semiparametric methods

Ricky Li

PhD student

Research interests:

  • Mathematical physics

Lecturer

Research interests:

  • Stochastic analysis
  • Rough paths
  • Probabilistic numerical methods
  • Data science

Xiaoyuan Liu

PhD student

Research interests:

  • Mathematical biology and chemistry

Peter Lloyd

PhD student

Solomon Lugmayer

PhD student

Research interests:

  • Number theory

Professor

Research interests:

  • Integrable models and quantum groups
  • Operations research and military history
  • Probability forecasting

Student Wellbeing Officer

Alistair Mansfield

PhD student

Research interests:

  • Quantum information

James Mason

PhD student

Research interests:

  • Mathematical biology and chemistry

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

Postdoctoral Research Associate

Research interests:

  • Algebra

Benjamin Mills

PhD student

Research interests:

Algebra

Jamie Milne

PhD student

Research interests:

  • Mathematical biology and chemistry

Postdoctoral researcher

Research interests:

  • Representation theory of symmetric and related groups

Professor

Research interests:

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

Lecturer

Research interests:

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

Lecturer

Research interests:

  • Bayesian statistics
  • Computational statistics
  • Finite mixture distributions
  • Time series

Andrew Pearce-Crump

PhD student

Research interests:

  • Number theory

Associate Lecturer

Research interests:

Empirical asset pricing and macroeconomics

Professor

Chair, Graduate Research School Committee

Research interests:

  • Mathematical biology and ecology
  • Dynamical systems
  • Stochastic processes

Lecturer

Chair, Assessment Committee and Exams Officer

Research interests:

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

Lecturer

Research interests:

Statistics and Probability
Time Series
Mathematical Finance
Teaching and Learning Pedagogy

Lecturer

Research interests:

  • Mathematical physics
  • Quantum information

Senior Lecturer

Research interests:

  • Mathematical biology and chemistry

Lecturer

Research interests:

Classical and singular stochastic (geometric)

Partial differential equations (SPDEs) 

Shashank Ranu

PDRA

Research interests:

Quantum Information

Ross Ratcliffe

PhD student

Research interests:

  • Algebra

Administration Manager

Lisa Readdy

PhD student

Research interests:

  • Mathematical biology and chemistry

Reader

Director of Admissions

Research interests:

  • Quantum field theory
  • Quantum gravity
  • Operator algebras

Senior Lecturer

Deputy Head of Department for Teaching

Research interests:

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

Kuntal Sengupta

PhD student

Research interests:

  • Quantum information

Royal Society University Research Fellow

Research interests:

  • Number theory
  • Geometry and analysis

Professor Emeritus

Research interests:

  • Mathematical physics
  • Quantum information

Jamie Smith

PhD student

Professor Emeritus

mjs7@york.ac.uk

G/N/148B

Research interests:

  • Measure theory
  • Probability
  • Traffic flow

Dr Harry Southworth

Honorary visiting fellow

Professor Emeritus

as2@york.ac.uk

G/N/148B

Research interests:

  • Quantum information
  • Lie algebras

Student Services Administrator (Exams and Assessments)

Research interests:

  • Mathematical physics
  • Quantum information

Professor

Head of Section, Mathematical Finance

Research interests:

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

Research Facilitator (maternity cover)

Matthew Thompson

PhD student

Research interests:

  • Number theory

Lecturer

Research interests:

Pure mathematics (geometric analysis)

Statistical methodology (Bayesian methods)

Medicine (analyses for clinical trials)

Education research.

Professor

Research interests:

  • Mathematical biology and chemistry

Dorsa Vakilzadeh Hatefi

PhD student

Research interests:

  • Number theory

Professor

Research interests:

  • Number theory
  • Dynamical systems
  • Discrete groups

Reader

Research interests:

  • Integrable systems
  • Classical and quantum integrable field theories

PhD student

Research interests:

  • Mathematical physics

Dr Paul Voutier

Honorary visiting fellow

Ying Wai Lee

PhD student

Research interests:

  • Number theory

Laurens Walleghem

PhD student

Research interests:

  • Quantum information

Liqiong Wang

PhD student

Research interests:

  • Mathematical finance
  • Stochastic analysis

Cordelia Webb

PhD student

Research interests:

  • Differential geometry

Reader

Research interests:

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

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.

Jennifer Winstone

PhD student

Research interests:

  • Mathematical physics

Professor

Research interests:

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

Senior lecturer

Research interests:

  • Geometry and analysis

PA to Head of Mathematics

Administrator

Professor

Research interests:

  • Mathematical finance
  • Stochastic analysis
  • Mathematical physics

Haoxuan Zhang

PhD student

Research interests:

  • Statistics and probability

Professor

Chair in Statistics

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

Ziheng Zhang

PhD student

Research interests:

  • Statistics and probability

Lecturer

Director of MSc in Statistics and Computational Finance

Research interests:

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

Art'om Zolotarjov

PhD student

Research interests:

  • Mathematical biology and chemistry

Reader

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.