Research interests

Integrable quantum field theories in 1+1D, especially their algebraic structure, and quantum groups. Current PhD students are Vidas Regelskis and Adele Taylor, and post-doctoral fellow Ian Marquette; past students were Georg Gandenberger, Ben Short, Ukyo Kono, Barry Miller and Paul Melvin, and post-docs Nikolai Kitanine and Charles Young. I currently hold, with Evgeny Sklyanin, an EPSRC grant of £355,702 for work on Nonultralocality and new mathematical structures in quantum integrability.

I am Editorial Adviser in Mathematical Physics for the LMS journals. I was director of BUSSTEPP in 2007, and organizer of a 6-month research programme at the Isaac Newton Institute, Cambridge, on Strong Fields, Integrability and Strings.

Most of my publications in mathematical physics can be found here. I have recently developed other interests, and have published papers on Lanchester models for mixed forces with semi-dynamical target allocation and Lanchester models and the Battle of Britain (following a general introduction here), and on Scaling of human body mass with height: the Body Mass Index revisited.

Teaching

See all years

Administration

• undergraduate Admissions Tutor
• member of departmental Special Cases committee

• member of Senate
• I was an elected member of the National Council of the ILTHE from 2001-04, and an elected member of the Council of the Higher Education Academy 2004-07, on this platform.
  
• member of the Education Committee of the London Mathematical Society
• member of the Outer Circle of the UK Advisory Committee on Mathematics Education (ACME),
• consultancy for QCDA and UCAS
• departmental representative for the HEA Maths Centre and the Isaac Newton Institute for Mathematical Sciences, Cambridge.