Professor T. Fokas

Career

  • 2002 Chair in Nonlinear Mathematical Science at the University of Cambridge, UK.
  • 1996 Chair in Applied Mathematics at Imperial College, UK.
  • 1986 Professor and Chairman of the Department of Mathematics and Computer Science of Clarkson University, USA.

Research

Thanasis Fokas current interests include:

  • Boundary value problems for linear and integrable nonlinear PDEs. 
  • Integrability in multi dimensions
  • Inverse Problems arising in Medicine, such as those arising in PET,SPECT, MEG and EEG
  • Novel techniques in complex analysis
  • Protein Folding

Selected of Publications

  • G. Dassios and A.S. Fokas, Methods for Solving Elliptic PDEs in Spherical Coordinates, SIAM J. Appl. Maths (in press).
  • A.S. Fokas, Electro?magneto-encephalography for a three-shell model: distributed current in arbitrary, spherical and ellipsoidal geometries, J. R. Soc. Interface, doi:10.1098/rsif.2008.0309 (2008).  
  • A.S. Fokas, The D-bar method, inversion of certain integrals and integrability in 4+2 and 3+1 dimensions, Journal of Phys. A 41 (2008).
  • D. Crowdy and A.S. Fokas, Conformal Mappings to Doubly Connected Polycircular Arc Domains, Proc. R. Soc. A 463, 1885-1907 (2007).                              
  • A.S. Fokas and D.A. Pinotsis, Quaternions, Evaluation of Integrals and Boundary Value Problems, Computational Methods and Function Theory 7, 2, 443-476 (2007).
  • A.S. Fokas and B. Pelloni, Generalised Dirichlet to Neumann Map for Moving Boundary Value Problems, J. Math. Phys. 48, 013502 (2007).
  • A.S. Fokas A. Iserles and V. Marinakis,  Reconstruction Algorithm for Single Photon Emission Computed Tomography and its Numerical Implementation J. R. Soc. Interface  3, 6, 45 (2006).
  • M.J. Ablowitz, A.S. Fokas and Z.H. Musslimani, On a New Nonlocal Formulation of Water Waves, J. Fluid Mechanics  562, 313-344 (2006).
  • A. S. Fokas, Integrable Nonlinear Evolution PDEs in 4+2 and 3+1 Dimensions, Phys. Rev. Lett.  96, 190201 (2006).                                               
  • A.S. Fokas, T.S. Papatheodorou, A.E. Kister and I.M. Gelfand, A Geometric Construction Determines Permissible Strand Arrangements of Sandwich Proteins, PNAS 102, 15851-15853 (2005).
  • A.S. Fokas, A.R. Its and L.Y.Sung, The Nonlinear Schroedinger Equation on the Half-Line, Nonlinearity 18, 1771-1822 (2005).
  • A.S. Fokas and L.Y. Sung, Generalised Fourier Transforms, their Nonlinearisation and the Imaging of the Brain, Notices of the AMS Feature Article 52, 1176-1190 (2005).
  • A.S. Fokas, A Generalised Dirichlet to Neumann Map for Certain Nonlinear Evolution PDEs, Comm. Pure Appl. Math. LVIII, 639-670 (2005).
  • G. Dassios and A.S. Fokas, The Basic Elliptic Equations in an Equilateral Triangle, Proc. R. Soc. A 461, 2721-2748 (2005).
  • A.S. Fokas, I.M. Gelfand and A.E. Kister, Prediction of the Structural Motifs of Sandwich Proteins, PNAS 101, 16780-16783 (2004).
  • A.S. Fokas, Y. Kurylev and V. Marinakis, The Unique Determination of Neuronal Currents in the Brain via Magnetoencephalography, Inverse Problems 20, 1067-1082 (2004).                                                                                                                                                        
  • D. Crowdy and A.S. Fokas, Explicit Integral Solutions for the Plane Elastostatic Semi-Strip, Proc. R. Soc. A 460, 1285-1309 (2004).
  • A.S. Fokas, Boundary-Value Problems for Linear PDEs with Variable Coefficients, Proc. R. Soc. A 460, 1131-1151 (2004).
  • A.S. Fokas and P.F. Schultz, The Long-Time Asymptotics of Moving Boundary Problems Using an Ehrenpreis-Type Representation and its Riemann-Hilbert Nonlinearisation, Communications of Pure and Applied Maths. LVI, 1-40 (2002).                                                                                              
  • A.S. Fokas, Integrable Nonlinear Evolution Equations on the Half-Line, Comm. Math. Phys. 230, 1-39 (2002).
  • A.S. Fokas, Two Dimensional Linear PDEs in a Convex Polygon, Proc.  R.  Soc. A 457, 371-393 (2001).