
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
Comments on the symmetry structure of bi-Hamiltonian systems
          – Czechoslovak Journal of Physics  
  
          (1982)  
  
          32,   
  
          365  
  
          (doi: 10.1007/BF01596193)  
  
  Direct linearizations of the Korteweg-deVries equations
          – AIP Conference Proceedings Volume 88  
  
          (1982)  
  
          237  
  
          (doi: 10.1063/1.33637)  
  
  A direct linearization associated with the Benjamin-Ono equation
          – AIP Conference Proceedings Volume 88  
  
          (1982)  
  
          229  
  
          (doi: 10.1063/1.33624)  
  
  The hierarchy of the Benjamin-Ono equation
          – Physics Letters A  
  
          (1981)  
  
          86,   
  
          341  
  
          (doi: 10.1016/0375-9601(81)90551-X)  
  
  Linearization of the Korteweg—de Vries and Painlevé II Equations
          – Physical Review Letters  
  
          (1981)  
  
          47,   
  
          1096  
  
          (doi: 10.1103/PhysRevLett.47.1096)  
  
  Bäcklund transformations for hereditary symmetries
          – Nonlinear Analysis: Theory, Methods & Applications  
  
          (1981)  
  
          5,   
  
          423  
  
          (doi: 10.1016/0362-546x(81)90025-0)  
  
  Symplectic structures, their Bäcklund transformations and hereditary symmetries
          – Physica D: Nonlinear Phenomena  
  
          (1981)  
  
          4,   
  
          47  
  
          (doi: 10.1016/0167-2789(81)90004-X)  
  
  THE TRANSFORMATION PROPERTIES OF THE 6TH PAINLEVE EQUATION AND ONE-PARAMETER FAMILIES OF SOLUTIONS
          – LETT NUOVO CIMENTO  
  
          (1981)  
  
          30,   
  
          539  
  
  On the use of Lie-Bäcklund operators in quantum mechanics
          – Journal of Mathematical Analysis and Applications  
  
          (1980)  
  
          74,   
  
          342  
  
          (doi: 10.1016/0022-247X(80)90133-X)  
  
  Quadratic and cubic invariants in classical mechanics
          – Journal of Mathematical Analysis and Applications  
  
          (1980)  
  
          74,   
  
          325  
  
          (doi: 10.1016/0022-247X(80)90132-8)  
  
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