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Department of Applied Mathematics and Theoretical Physics

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:

  • Asymptotics of the Riemann zeta and related functions
  • 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
  • Water waves

Selected of Publications

 

  •  A.S. Fokas and Y.C. Yortsos, On the Exactly Solvable Equation St = (βS + γ) -2Sxx +  α(βS + γ) -2Sx Occurring in Two-Phase Flow in Porous Media, SIAM J. Appl.Math. 42, 318-332 (1982).
  • A.S. Fokas and M.J. Ablowitz, On the Inverse Scattering Transform of Multi-Dimensional Nonlinear Equations Related to First Order Systems in the Plane, J. Math. Phys. 25, 2494-2505 (1984).
  • A.S. Fokas, Symmetries and Integrability, Stud. Appl. Math. 77, 253-299 (1987).
  • A.S. Fokas, J.B. Keller and B.D. Clarkson, Mathematical Models of Granulocypopoiesis and Chronic Myelogenous Leukemic, Cancer Res. 51, 2084-2091 (1991).
  • A.S. Fokas, A.R. Its and A.V. Kitaev, The Isomonodromy Approach to Matrix Models in 2D Quantum Gravity, Comm. Math. Phys. 147, 395-430 (1992).
  • A.S. Fokas and L.Y. Sung, On the Solvability of the N-Wave, the Davey-Stewartson and the Kadomtsev-Petviashvili Equation, Inverse Problems 8, 673-708 (1992).
  • A.S. Fokas and I.M. Gelfand, Surfaces on Lie Groups, on Lie Algebras, and their Integrability, Commun.  Math. Phys. 177, 203-220 (1996).
  • A.S. Fokas, A Unified Transform Method for Solving Linear and Certain Nonlinear PDE's, Proc. R. Soc. Lond. A 453, 1411-1443 (1997).
  • A.S. Fokas, Two Dimensional Linear PDE's in a Convex Polygon, Proc. R. Soc. Lond. A 457, 371-393 (2001).
  • A.S. Fokas, I.M. Gelfand and A.E. Kister, Prediction of the Structural Motifs of Sandwich Proteins, Proc. Natl. Acad. Sci. USA 101, 16780-16783 (2004).
  • A.S. Fokas and L.Y. Sung, Generalised Fourier Transforms, their Nonlinearisation and the Imaging of the Brain, Notices Amer. Math. Soc. 52, 1176-1190.
  • A.S. Fokas, A.R. Its and L.Y. Sung, The Nonlinear Schrödinger Equation on the Half-Line, Nonlinearity 18, 1771-1822 (2005).
  • M.J. Ablowitz, A.S. Fokas and Z.H. Musslimani, On a New Non-Local Formulation of Water Waves, J. Fluid. Mech., 562, 313-343 (2006).
  • A.S. Fokas, Electro-Magneto-Encephalography for the Three-Shell Model: Distributed Current in Arbitrary, Spherical and Ellipsoidal Geometries, J. R. Soc. Interface 6, 479-488 (2009).
  • A.S. Fokas and E.A. Spence, Synthesis as Opposed to Separation of Variables, SIAM Rev. 54, 291-324 (2012).
  • A.S. Fokas, O. Hauk and V.Michel, Electro-Magneto-Encephalography for the Three-Shell Model: Numerical Implementation for Distributed Current in Spherical Geometry, Inverse Problems 28, 035009 (2012).
  • A.S. Fokas and M.L. Glasser, The Laplace Equation in the Exterior of the Hankel Contour and Novel Identities for Hypergeometric Functions, Proc. R. Soc. Lond. A 469, 20130081 (2013).
  • G.A. Kastis, A. Gaitanis, A. Samartzis and A.S. Fokas, The SRT REconstruction Algorithm for Semiquantification in PET Imaging, Med. Phys. 42, 5970-5982 (2015).
  • A.S. Fokas, A.A. Himonas and D. Mantzavinos, The Nonlinear Schrödinger Equation on the Half-Line, Trans. Amer. Math. Soc. (in press).
  • A.S. Fokas and J. Lenells, On the Asymptotics to All Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function, Mem. Amer. Math. Soc. (submitted).

 

Publications

Reconstruction Algorithms for Positron Emission Tomography and Single Photon Emission Computed Tomography and their Numerical Implementation
AS Fokas, A Iserles, V Marinakis
(2004)
Boundary value problems for systems of linear evolution equations
PA Treharne, AS Fokas
– IMA Journal of Applied Mathematics Institute of Mathematics and Its Applications
(2004)
69,
539
Prediction of the structural motifs of sandwich proteins.
AS Fokas, IM Gelfand, AE Kister
– Proceedings of the National Academy of Sciences
(2004)
101,
16780
An analytical method for linear elliptic PDEs and its numerical implementation
SR Fulton, AS Fokas, CA Xenophontos
– Journal of Computational and Applied Mathematics
(2004)
167,
465
The nonlinear Schrödinger equation on the interval
AS Fokas, AR Its
– Journal of Physics A: Mathematical and Theoretical
(2004)
37,
6091
The unique determination of neuronal currents in the brain via magnetoencephalography
AS Fokas, Y Kurylev, V Marinakis
– Inverse Problems
(2004)
20,
1067
Linearizable initial boundary value problems for the sine-Gordon equation on the half-line
AS Fokas
– Nonlinearity
(2004)
17,
1521
Zero-dispersion limit for integrable equations on the half-line with linearisable data
AS Fokas, S Kamvissis
– Abstract and Applied Analysis
(2004)
2004,
361
Explicit integral solutions for the plane elastostatic semi-strip
DG Crowdy, AS Fokas
– Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
(2004)
460,
1285
The mkdv equation on the half-line
A Boutet de Monvel, AS Fokas, D Shepelsky
– Journal of the Institute of Mathematics of Jussieu
(2004)
3,
139
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Research Groups

Cantab Capital Institute for the Mathematics of Information
Centre for Mathematical Imaging in Healthcare
Nonlinear Dynamical Systems

Room

F1.12

Telephone

01223 339733