Professor Jenya Ferapontov

  • Professor of Mathematics
  • Research Admissions Tutor

Research groups and centres

Publications
  • 2008 - present Professor, Dept. of Mathematical Sciences, Loughborough University.
  • 2001 - 2008 Reader, Dept. of Mathematical Sciences, Loughborough University.
  • 1999 - 2001 Lecturer, Dept. of Mathematical Sciences, Loughborough University.
  • 1998 - 1999 Senior Researcher, Center for Nonlinear Studies, Landau Institute for Theoretical Physics, Acad. Sci. of Russia.
  • 1996 - 1998 Humboldt Fellow, Technische Universitat Berlin.
  • 1991 - 1998 Senior Researcher, Institute for Mathematical Modelling, Acad. Sci. of Russia.
  • 1990 - 1991 Assistant Professor, Department of Mechanics and Mathematics, Lomonosov Moscow State University.
  • 1986 - 1990 Junior Researcher, Computing Center, Acad. Sci. of Russia.
  • 1982 - 1985 Postgraduate, Dept. of Mechanics and Mathematics, Lomonosov Moscow State University. PhD in Physics and Mathematics. Supervisor: Prof A M Vassiliev.
  • 1976 - 1982 Undergraduate, Dept. of Mechanics and Mathematics, Lomonosov Moscow State University.

My research lies at the intersection of classical differential geometry with the modern theory of integrable systems.

Particular topics of interest

  • Classical differential geometry:
    • Web geometry
    • Projective differential geometry
    • Lie sphere geometry
    • Theory of congruences
    • Geometric aspects of PDEs
  • Integrable systems:
    • Systems of hydrodynamic type
    • Hyperbolic systems of conservation laws and congruences of lines in projective space
    • Integrable Hamiltonians with magnetic terms: classical and quantum aspects
    • Hamiltonian formalism: Poisson brackets of differential-geometric type
    • Multi-dimensional dispersionless integrable systems

Current Research

  • Differential geometry and integrability of multi-dimensional quasilinear systems

Major grants held


£61,989 EPSRC research grant Gr/N30941/01
`Projective differential geometry and integrable systems', 2000-2002.

£180,939 EPSRC research grant EP/D036178/1
`Multi-dimensional dispersionless integrable systems: classification, differential geometry, solutions', 2006-2009.

£280,335 EPSRC research grant EP/N031369/1
`Challenges of Dispersionless Integrablity: Hirota type equations', 2017-2020.

Research Associates:

  • Dr Sergey Agafonov,
  • Dr Antonio Moro
  • Dr Benoit Huard
  • Dr Fabien Clery
  • Dr Stanislav Opanasenko

PhD students:

  • David Marshall,
  • Lenos Hadjikos,
  • Pavel Burovskiy,
  • Nikola Stoilov,
  • Jonathan Moss,
  • Andrea Savoldi,
  • Ilia Roustemoglou,
  • Sobhi Berjawi,
  • Ben Gormley.