Department of Mathematics

Algebra and Combinatorics Research Group

Our research is mainly in the fields of group theory, representation theory, graph theory, number theory and applications. A particular strength of the Algebra and Combinatorics Group is the computational and algorithmic aspects of groups and graphs.

These areas of mathematics developed from abstracting observations about counting, arithmetic, algebraic manipulation, and symmetry. The use of these topics is pervasive in mathematics, with applications in cryptography and the mathematics of social choice.

Permanent Research Staff

Current and recent postdoctoral researchers

  • Alastair Litterick                                        
    Algebraic groups and finite simple groups


Seminars and other recent events


Current and recent visitors

  • Emilio Bujalance (UNED, Madrid)
  • Michael Bate (University of York, UK)
  • Javier Cirre (UNED, Madrid)
  • Thomas Connor (Universite Libre de Bruxelles)
  • Brian Corr (University of Western Australia, Australia)
  • Heiko Dietrich (University of Trento, Italy)
  • Edith Elkind (National Technological University, Singapore)
  • Maria Elisa Fernandes (University of Aveiro, Portugal)
  • Victor Flynn (University of Oxford, UK)
  • Cecile Goncalves (Ecole Polytechnique, France)
  • Ben Green (University of Oxford)
  • Sebastian Herpel (University of Bochum, Germany)
  • Derek Holt (University of Warwick, UK)
  • Isabel Hubard (UNAM, Mexico)
  • Charles Leedham-Green (Queen Mary University of London, UK)
  • Liangze Li (Peking University, China)
  • Martin Liebeck (Imperial College, UK)
  • Daniel Lond (University of Canterbury and Weta Digital, New Zealand)
  • Claude Marion (U Fribourg, Switzerland)
  • Mark Mixer (Williams College, USA)
  • Cheryl Praeger (University of Western Australia)
  • Gerhard Roehrle (University of Bochum, Germany)
  • Jan Saxl (University of Cambridge, UK)
  • Egon Schulte (Northeastern University, USA)
  • Rulin Shen (Hubei University for Nationalities and Central China Normal University, China)
  • Wujie Shi (Suzhou University and Chongqing University of Arts and Sciences, China)
  • Jozef Siran (Open University, UK and Slovak University of Technology, Slovakia
  • Piotr Skowron  (University of Warsaw)
  • Ron Steinfeld (Monash University, Australia)
  • Don Taylor (University of Sydney, Australia)

Current and recent postgraduate students


  • Nina Anchugina (PhD): The investigation of methods for ranking income streams and investment projects
  • Dodge Cahan (Hons): Electoral equilibria under scoring rules
  • Ilya Chevyrev (Hons): Isogenies between supersingular elliptic curves
  • Kenneth Clarkson (Hons): Galois cohomology
  • Adam Clearwater (Hons):
  • Giovanni De Franceschi (PhD): Conjugacy classes in classical groups
  • Tan Do (Masters): Ternary quadratic forms and modular forms of half integral weight
  • Celia Dong (Hons): The security of cryptosystems based on learning with errors
  • Rupert Freeman (Hons): Compositions of simple games
  • Jinqi Ge (Masters): Quadratic forms and the 15 theorem
  • Shishay Gebregiyorgis (PhD): Elliptic curve cryptography
  • Himashela Gedara (Hons):
  • Meena Kumari (Masters): Password-based key exchange protocols using elliptic curves
  • Joel Laity (Masters):
  • Wei Liu (Masters): Improved algorithms for the 2-dimensional discrete logarithm problem with equivalence classes
  • Stephen Lo (PdH): The symmetric genus of metabelian groups
  • Jeremie Moerenhout (PhD): Highly symmetric polytopes
  • James Nelson (Masters): Bhargava's generalised composition laws
  • Nemanja Poznanovic(Masters):
  • Fangqian Qiu (Hons):
  • Mostafa Raziebrahimsaraei (Hons):
  • Barak Shani (PhD): Mathematics of public-key cryptography
  • Yan Bo Ti (PhD):Algebraic geometry and applications in cryptography
  • Tomohiro Uchiyama (PhD): Complete reducibility and geometric invariant theory
  • Shaun White (PhD): Social choice and strategic voters
  • Wei-Juan Zhang (PhD): Extensions of chiral polytopes