Professor A S Fokas

A.S. Fokas has a BSc in Aeronautics from Imperial College (1975), a PhD in Applied Mathematics from the California Institute of Technology (1979) and an MD from the University of Miami, School of Medicine (1986).

In 1986, at the age of 33, he was appointed Professor and Chairman of the Department of Mathematics and Computer Science of Clarkson University, USA.

In 1996 he was appointed to a Chair in Applied Mathematics at Imperial College, UK.

In 2002 he was appointed to the newly inaugurated Chair in Nonlinear Mathematical Science at the University of Cambridge, UK.

In June 1975 he was awarded the Governor's Prize of Imperial College (best student), and in June 1983 he was awarded the Graham Research Prize of Clarkson University (best junior researcher).

In November 2000 he was awarded the Naylor Prize of the London Mathematical Society (the most prestigious prize in Applied Mathematics and Theoretical Physics in UK, the last five earlier recipients were Sir Roger Penrose, Sir Michael Berry, Sir John Ball, F.P. Kelly and S W Hawking).

In March 2004 he was awarded the Aristeion Prize in Sciences of the Academy of Athens (this is the most prestigious prize of the Academy given every four years to a single scholar of Greek origin chosen from science, engineering, or medicine).

In December 2004 he was awarded an Honorary Doctorate of Sciences from the Technical University of Crete, an Honorary Doctorate of Mathematics from the University of Patras, and an Honorary Doctorate of Applied Mathematics and Physical Sciences from the Technical University of Athens (Polytechnio), Greece.

In December 2004 he was elected a full member of the Academy of Athens (the Academy has about 45 members covering all areas including sciences, engineering, medicine, arts, letters, political and moral sciences; A.S. Fokas, who is the youngest member of the Academy, is the sixth mathematician elected in the Academy - the first was C. Caratheodory - and the first ever applied mathematician).

In January 2005 he was included in the New Year's list of honours of the President of the Hellenic Republic and he was presented with the decoration of the Commander of the Order of Phoenix (only 14 people were included in the list of honours).

In June 2005 he was elected a Professorial Fellow of Clare Hall ( article ).

In April 2006 he was awarded an Honorary Doctorate in Mathematics from the University of Athens, Greece.

In June 2006 he was awarded (jointly with Professor D. Christodoulou) the Excellence Prize of the Bodossaki Foundation (this premier scientific prize is awarded every two years to scientists of Greek origin, as chosen by an international committee chaired by Nobel Laureate W. Arber), see the following articles in Greek Media:
16 June 2006,
14 June 2006,
11 June 2006 - Kathimerini .

ISI Web of Science includes A.S. Fokas in the list of the most highly cited researchers in the field of Mathematics (Pure Mathematics, Applied Mathematics, Probability and Statistics), see http://www.isihighlycited.com (there exist only 13 UK mathematicians in this list).

• President of the Governing Body of the National Library of Greece, ( article in the english edition of Kathimerini, 14 April 2006 ),
• President of the Scientific Committee of the Laskaridou Library ( article in Kathimerini, 2 November 2007 ),
• Member of the International Advisory Board of the Institute of Mathematical Sciences (Lord May, Chairman of the Board), Imperial College , UK.
• Member of the Advisory Board of the Centre for Nonlinear Mathematics and Applications , Loughborough University, UK
• Honorary member of the Institute of Computational and Applied Mathematics, Greece.
• Honorary Member of the Philological Society Parnassos
• Member of the Advisory Committee of the Goulandris Natural History Museum
• Co-Editor in chief of the Journal of Nonlinear Science
• Associated Editor of the series: Progress in Physics and Mathematical Physics (Birkhäuser)
• Member of the Editorial Board of the series: Modern Mechanics and Mathematics (CRC)
• He is currently, or has been, a member of the Editorial Board of the following Journals:
  • Proceedings of the Royal Society (Series A)
  • Selecta Mathematica
  • Journal of Mathematical Physics
  • Nonlinearity
  • Studies in Applied Mathematics
  • Mathematical Physics, Analysis and Geometry
  • The Quarterly Journal of Mechanics and Applied Mathematics
  • International Journal of Mathematics and Mathematical Sciences
  • Computational Methods and Function Theory
  • Journal of Mathematical Analysis and Applications
  • Abstract and Applied Analysis
  • Journal of Nonlinear Mathematical Physics
  • Bulletin of the Greek Mathematical Society
  • Communications in Applied Analysis
  • International Journal of Differential Equations and Applications
  • International Mathematical Journal
  • International Journal for Rapid Publications in Mathematics
  • Symmetry, Integrability and Geometry: Methods and Applications
  • International Journal of Computational and Applied Mathematics
  • Open Mechanics Journal
  • International Journal of Modern Mathematics
  
  

• Co-Author of the following books:

• Co-Editor of the following books:

• Editor of the chapter "Inverse Scattering Transforms and Nonlinear PDEs", as well as of the chapter "Scattering in Mathematical Objects", in Scattering, R. Pike and P. Sabatier, Eds, Academic Press (2002).
• Co-Editor of the special issue Integrability, Topological Solitons and Beyond, A.S. Fokas, N.S. Manton, R.G. Newton, Eds. Journal of Mathematical Physics, Vol. 44 (2003).

He is the author of more than 200 papers in such diverse areas as models for leukaemia (with J B Keller), magnetoencephalography (with Y Kurylev and I M Gelfand), bi-Hamiltonian structures (with B Fuchssteiner and I M Gelfand), nonlinear singular integro-differential equations (with M J Ablowitz and M D Kruskal), Painleve equations (with X Zhou), dressing method (with V E Zakharov), orthogonal polynomials-quantum gravity (with A R Its), nonlinear multidimensional PDEs (with R R Coifman and L Y Sung) and steady streaming (with J T Stuart). He is internationally recognised in the field of nonlinear integrable equations. In the Special Millenium Issue: Mathematical Physics - Past and Future of the Journal of Mathematical Physics, June 2000, which summarised the "most important developments in mathematical physics in the 20th century", A.S. Fokas was asked to contribute an article on integrability.

1. The opening address of the 45th Mathematical Olympiad , Athens, Greece, June 2004.


2. Ten lectures as the Principal Speaker in a NSF-CBMS Conference, University of Texas-Pan American, USA, May 2005.


3. A Plenary talk at the CMFT Conference, Finland, June 2005.
   Three lectures at a CMS/EPSRC Short Course, Reading, UK, July 2005.
   Three lectures at a Euroconference, Crete, July 2005.
   


4. An Invited Address at the celebration of the Royal Irish Academy for the Bicentennial of W.R. Hamilton , Ireland, September 2005.


5. The SIAM Invited Address at the Annual meeting of AMS and MAA, San Antonio, USA, January 2006.


6. An Invited Talk at the Conference in Honour of Peter Lax and Louis Nirenberg, Toledo, Spain, June 2006.


7. An Invited Talk to the Conference in honour of D.D. Holm, Ecole Polytechnique Federale de Lausanne, Lausanne, Switzerland, July 2007.

Mathematics, Imaging of the Brain and the search for Consiousness, Academy of Athens, 23 October 2007 (see article in Kathimerini),
The Hellenic Thought and Science, 21 August 2007, Delphi, Greece,
The Diachronic Value of the Library, 24 November 2006, Laskaridou Library, Athens, Greece.
Education and the Basic Sciences, 3 November 2006, Moraitis School, Athens,
Research, Statistics and Responsibility, Athens Concert Hall, 31 May 2006 (see article in english edition of Kathimerini),
Mathematics, the Brain and the Imaging of Truth, 26 January 2006, Athens Concert Hall,
The Importance of Research, Athens Concert Hall, 28 February 2005

A book review entitled "Castoriadis, Philosophy and Science" appeared in Kathimerini, 22 May 2005.

Kathimerini, 24 February 2008 ,
Vima Science, 4 November 2007 ,
A discussion with Prof F Kafatos in Kappa of Kathimerini, 25 February 2007 ,
Kathimerini, 28 May 2006,
Kappa of Kathimerini, In the Brain of the leading Greek Scientists, 9 May 2006,
Vimagazino,Presenting T Fokas, 12 March 2006,
Kapodistriako Magazine of the University of Athens, 1 November 2005 ,
Homme, Everything is Maths, May 2004,
Eleftherotypia, 17 March 2004 ,
Ta Nea, 28 June 2001.

Current Interests

1. A.S. Fokas, Two Dimensional Linear PDEs in a Convex Polygon, Proc. R. Soc. A 457, 371-393 (2001).


2. D. ben-Avraham and A.S. Fokas, The Modified Helmholtz Equation in a Triangular Domain and an Application to Diffusion-limited Coalescence, Phys. Rev. E 64, 016114-6 (2001).


3. A.S. Fokas, A New Transform Method for Evolution PDEs, IMA J. Appl. Math. 67, 559 (2002).


4. A.S. Fokas, Boundary-Value Problems for Linear PDEs with Variable Coefficients, Proc. R. Soc. A 460, 1131-1151 (2004).


5. D. Crowdy and A.S. Fokas, Explicit Integral Solutions for the Plane Elastostatic Semi-Strip, Proc. R. Soc. A 460, 1285-1309 (2004).


6. Y.A. Antipov and A.S. Fokas, A Transform Method for the Modified Helmholtz Equation in a Semi-Strip, Math. Proc. Camb. Phil. Soc. 138, 339-365 (2005).


7. S. Fulton, A.S. Fokas and C. Xenophontos, An Analytical Method for Linear Elliptic PDEs and its Numerical Implementation, J. of Comput. and Appl. Maths. 167, 465-483 (2004).


8. P.A. Treharne and A.S. Fokas, Boundary Value Problems for Systems of Evolution Equations, IMA J. Appl. Math. 69, 539-555 (2004).


9. A.S. Fokas and B. Pelloni, Boundary Value Problems for Boussinesq type Systems, Math. Phys. Anal. Geom. 8, 59-96 (2005)


10. A.S. Fokas and B. Pelloni, A Transform Method for Evolution PDEs on a Finite Interval, IMA J. Appl. Math. 70, 564-587 (2005)


11. G. Dassios and A.S. Fokas, The Basic Elliptic Equations in an Equilateral Triangle, Proc. R. Soc. A 461, 2721-2748 (2005).


12. A.S. Fokas and B. Pelloni, Generalised Dirichlet to Neumann Map for Moving Boundary Value Problems, J. Math. Phys. 48, 013502 (2007).


13. S. De Lillo and A.S. Fokas, The Dirichlet to Neumann Map for the Heat Equation on an Moving Boundary, Inverse Prob., 23, 1699-1710 (2007).


14. A.G. Sifalakis, A.S. Fokas, S.R. Fulton and Y.G. Saridakis, The Generalised Dirichlet-Neumann Map for Linear Elliptic PDEs and its Numerical Implementation , J. Comput. Appl. Mathematics, 219,1, 9-34 (2008)


15. G. Dassios and A.S. Fokas, Methods for Solving Elliptic PDEs in Spherical Coordinates, SIAM J. Appl. Maths 68, 1080 (2008).


16. N. Flyer and A.S. Fokas, A hybrid analytical-numerical method for solving evolution partial differential equations. I. The half-line, Proc. Roy. Soc. A, 464, 2095, 1823-1849 (2008).


17. A.S. Fokas, N. Flyer, S.A. Smithman and E. Spence, A Semi-Analytical Numerical Method for Solving Evolution and Elliptic Partial Differential Equations, J. Comp. Appl. Math. (in press).

1. A.S. Fokas, Integrable Nonlinear Evolution Equations on the Half-Line, Comm. Math. Phys. 230, 1-39 (2002).


2. 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).


3. A.S. Fokas, Linearizable Initial Boundary Value Problems for the sine-Gordon Equation on the Half-Line, Nonlinearity 17, 1521-1534 (2004).


4. A.S. Fokas and A.R. Its, The Nonlinear Schrodinger Equation on the Interval, J. Phys. A: Math Gen. 37, 6091-6114 (2004).


5. A. Boutet de Monvel, A.S. Fokas and D. Shepelsky, Analysis of the Global Relation for the Nonlinear Schroedinger Equation on the Half-line, Lett. Math. Phys. 65, 3, 199-212 (2003)


6. A. Boutet de Monvel, A.S. Fokas and D. Shepelsky, The Modified KdV Equation on the Half-Line, J. of the Inst. of Math. Jussieu 3, 139-164 (2004).


7. A.S. Fokas, A Generalised Dirichlet to Neumann Map for Certain Nonlinear Evolution PDEs, Comm. Pure Appl. Math. LVIII, 639-670 (2005).


8. 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).


9. A.S. Fokas, A.R. Its and L.Y.Sung, The Nonlinear Schroedinger Equation on the Half-Line, Nonlinearity 18, 1771-1822 (2005).


10. A. Boutet de Monvel, A.S. Fokas and D. Shepelsky, Integrable Nonlinear Evolution Equations on a Finite Interval , Comm. Math. Physics 263,1, 133 (2006)

1. A.S. Fokas and A.K. Pogrebkov, Inverse Scattering Transform for the KPI Equation on the Background of a one-Line Soliton, Nonlinearity 16, 771-783 (2003).


2. A.S. Fokas, The Davey-Stewartson I Equation on the Quarter Plane with Homogeneous Dirichlet Boundary Conditions, J. Math. Phys. 4, 3226-3244 (2003).


3. M. McConnell, A.S. Fokas and B. Pelloni, Localised Coherent Structures of the DSI and DSII Equations - A Numerical Study, Maths and Computers in Simulation 69, 424-438 (2005).


4. A. S. Fokas, Integrable Nonlinear Evolution PDEs in 4+2 and 3+1 Dimensions, Phys. Rev. Lett. 96, 190201 (2006)


5. A.S. Fokas, Nonlinear Fourier Transforms, Integrability and Nonlocality in Multidimensions, Nonlinearity 20 , 2093 (2007).


6. A. S. Fokas, Soliton Multidimensional Equations and Integrable Evolutions Preserving Laplace's Equation, Physics Letters A (in press, doi:10.1016/j.physleta.2007.09.037 )


7. A. S. Fokas, Nonlinear Fourier Transforms and Integrability in Multidimensions, in "Integrable Systems, Random Matrices and Applications", Contemporary Mathematics, AMS (2008)


8. A.S. Fokas, The D-Bar Method, Inversion of Certain Integrals and Integrability in 4 + 2 and 3 + 1 Dimensions, J. Phys. A (in press).

1. J.D. Gibbon, A.S. Fokas and C.R. Doering, Dynamically Streched Vortices as Solutions of the Navier-Stokes Equations, Physica D 132, 497-510 (1999).


2. A.S. Fokas and D.T. Papageorgiou, Absolute and Convective Instability for Evolution PDEs on the Half-Line, Stud. Appl. Math. 114, 95-114 (2005).


3. A.S. Fokas and J.T. Stuart, The Time Periodic Solution of the Burgers Equation on the Half-Line and an Application to Steady Streaming, J. of Nonlinear Math. Phys. 12, 302-314 (2005).


4. 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)


5. A.S. Fokas, Steady Inviscid Hydrodynamics with Constant Speed (preprint).


6. J.L. Bona and A.S. Fokas, Initial-Boundary-Value Problems for Linear and Integrable Nonlinear Dispersive PDEs, Nonlinearity (in press).

1. A.S. Fokas, Applied Mathematics and the Imaging of the Brain, Bull. Greek Math. Soc. 47, 3-18 (2003).


2. 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).


3. G. Dassios, A.S. Fokas and F. Kariotou, On the Non-Uniqueness of the Inverse Magnetoencephalography Problem, Inverse Problems 21, L1-L5 (2005).


4. A.S. Fokas, and V. Marinakis, The Mathematics of the Imaging Techniques of MEG, CT, PET and SPECT, Int. J. of Bif. and Chaos 16, 1671-1687 (2006)


5. 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)


6. G.Dassios, A.S. Fokas and D.Hadjiloizi On the complementarity of Electroencephalography and Magnetoencephalography, Inverse Problems 23, 2541-2549 (2007).


7. A.S. Fokas, Electro-Magneto-Encephalography for the 3-Shell Model: Distributed Current in Arbitrary, Spherical and Ellipsoidal Geometries, J. R. Soc. Interface (in press).


8. V. Michel and A.S. Fokas, A Unified Approach to Various Techniques for the Non-Uniqueness of the Inverse Gravimetric Problem and Wavelet Based Methods, Inverse Problems (in press).

1. A.S. Fokas, I.M. Gelfand and A.E. Kister, Prediction of the Structural Motifs of Sandwich Proteins, PNAS 101, 16780-16783 (2004).


2. 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).


3. A.E. Kister, A.S. Fokas, T.S. Papatheodorou, I.M. Gelfand, Strict Rules Determine the Arrangement of Strands in Sandwich Proteins, PNAS 103, 4107-4110 (2006).

1. A.S. Fokas and D.A. Pinotsis, The Dbar Formalism for Certain Linear Non-Homogeneous Elliptic PDEs in Two Dimensions, Eur. J. Appl. Math. 17, 3, 323-346 (2006).


2. 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)


3. D. Crowdy and A.S. Fokas, Conformal Mappings to Doubly Connected Polycircular Arc Domains, Proc. R. Soc. A 463, 1885-1907 (2007)