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.
Awards and Honours
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 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 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 (the list of honours included 14 individuals).
In June 2005 he was elected a Professorial Fellow of Clare Hall.
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 a Nobel Laureate), see the following articles in Greek Media:
16 June 2006,
14 June 2006,
11 June 2006 .
In 2009 he was selected as a Guggenheim Fellow on the
basis “of stellar achievements and exceptional promise for continued accomplishment”.
In 2010 he was elected a Fellow of the European Academy of Science, and was also appointed “Ambassador of Hellenism” by the Prefecture of Athens.
In the fall of 2012 he was an Onassis Senior Visiting Scholar at the University of Harvard.
He has been awarded honourary degrees from five Universities.
He is an honorary citizen of Oinousses and of Delphoi. He is a distinguished member of the Institute of Computational and Applied Mathematics, Greece, as well as an
honorary Member of the Philological Society Parnassos.
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.
Editorial and Advisory Boards
He was the President of the Governing body of the National Library of Greece for the period
20052011. He has served on the International Advisory Boards of several Institutions including the
Institute of Mathematical Sciences, Imperial College, UK and the Centre for Nonlinear Mathematics
and Applications, Loughborough University, UK.
He is the President of the scientific committee of the Laskaridis Foundation, as well as a member of the Advisory
Committee of the Goulandris Natural History Museum.
He is an Associate Editor of the following three series: Progress
in Physics and Mathematical Physics (Birkhauser), Modern Mechanics and Mathematics (CRC) and Publishing
Program in Mathematics (de Gruyter).
He is the cofounder of the Journal of
Nonlinear Science.
He is or has been a member of the Editorial
Board of more than twenty scientific journals, including
He has been the coorganiser of several International conferences and workshops, including
two workshops at the Isaac Newton Institute, as well as the 2nd International workshop “The
Brain: Function, Imaging and Repair” at the Goulandris Natural History Museum/GAIA Centre
(coorganised with F. Kafatos), Athens, October, 2009.
BooksPublications
He is the coauthor of the following books:
 M J Ablowitz and A S Fokas,
Introduction and Applications of Complex Variables, Cambridge
University Press, second edition (2003).

A S Fokas, A R Its, A A Kapaev and V Yu Novokshenov,
Painlevé Transcendents: A RiemmanHilbert Approach,
AMS (2006).
 A S Fokas, A Unified Approach to Boundary
Value Problems,
CBMSSIAM (2008).
He is the coeditor of the following books:

A S Fokas and V E Zakharov, eds. Important Developments in
Soliton Theory, SpringerVerlag (1993).

A S Fokas, D J Kaup, A C Newell and V E Zakharov, eds.
Nonlinear Processes in Physics, SpringerVerlag (1993).

A S Fokas and I M Gelfand, eds.
Algebraic Aspects of Integrable Equations, Birkhauser (1996).

A S Fokas, A Grigorian, T Kibble and B Zegarlinsky, eds.
Mathematical Physics 2000, Imperial College Press (2000).

A S Fokas, A Grigorian, T Kibble and B Zegarlinsky, eds.
XIII International Congress of Mathematical Physics, International Press (2002).

A. Fokas, J. Halliwell, T. Kibble, B. Zegarlinski, eds. Highlights of
Mathematical Physics, AMS (2002).
He is the author or coauthor of almost 300 papers. He has published in different areas of science ranging from abstract areas such
as differential geometry and random matrices, to applied areas such as models of chronic myelogenous
leukaemia (with J.B. Keller) and protein folding (with I.M. Gel’fand). In particular, he has made seminal
contributions in the field of integrable systems and has played a significant role in the solution of important
mathematical problems arising in medical imaging.
Invited Talks
He has delivered almost 300 talks including the following:

Mathematics and the Search of Truth, the Opening Address at the 45th International Mathematical
Olympiad, Athens, Greece, July 11, 2004.

Imaging of the Brain and the Dirichlet to Neumann Map for BiHamiltonian Systems, Invited Address
at the Celebration of the Royal Irish Academy for the Bicentennial of W.R. Hamilton, Ireland,
September 30, 2005.

Generalised Fourier Transforms, Dirichlet to Neumann Maps and the Imaging of the Brain, the SIAM
Invited Address at the Annual meeting of AMS and MAA, San Antonio, USA, January 2006.

Lax pairs: Synthesis Rather Than Separation of Variables, Conference in Honour of the 80th birthday
of Peter Lax and Louis Nirenberg, Toledo, Spain, June 69, 2006.

The dBar Method, Medical Imaging, Complexification, Harmonicity and Integrability in 3+1, the
Opening Plenary Address at the International Conference, “Nonlinear Waves  Theory and Applications”,
Beijing, China, June 9, 2008.

Integrability, Medical Imaging and Boundary Value Problems, 27th Colloquio Brasilero de Mathematica,
IMPA, Rio DeJaneiro, Brazil, July 28, 2009.

Integrability, Medical Imaging and Boundary Value Problems, DAMTP Jubilee Celebration, University
of Cambridge, Cambridge, UK, September 25, 2009.

A Unified and Effective Method for Integrable Nonlinear PDES, the Opening Plenary Address at the
ESF Mathematics Conference, “Completely Integrable Systems and Applications”, Vienna, Austria,
July 4, 2011.

An Effective Method for Integrable nonlinear PDEs on the Halfline, the Opening Plenary Address
at the ICMS Conference, “Boundary value problems for linear elliptic and integrable PDEs: theory
and computation”, Edinburgh, UK, May 28  June 1, 2012.
He has also given several public talks, including:

The Importance of Research, Athens Concert Hall, 28 February 2005.

Mathematics, the Brain and the Imaging of Truth, Athens Concert Hall, 26 January 2006.

Research, Statistics and Responsibility, Athens Concert Hall, 31 May 2006 (see article in english edition of Kathimerini).

Education and the Basic Sciences, Moraitis School, Athens, 3 November 2006.

The Diachronic Value of the Library, Laskaridou Library, Athens, 24 November 2006.

The Hellenic Thought and Science, Delphi, 21 August 2007.

Mathematics, Imaging of the Brain and the search for Consiousness,
Academy of Athens, 23 October 2007 (see article in Kathimerini).

Mathematics, Innate Knowledge and Neuroscience , Harvard University, 27 September 2012.

Greeks, Mathematics and Neuroscience, University of MissouriSt. Louis, 1 October 2012.
He has given several interviews to Greek media, including:
Kappa of Kathimerini, 10 June 2012
Kathimerini, 24 February 2008 ,
Vima Science, 4 November 2007 ,
A discussion with Prof F Kafatos in Kappa, 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.
A book review entitled "Castoriadis, Philosophy and
Science" appeared
in Kathimerini, 22 May 2005.
Current Main Areas of Interest
1. Boundary Value Problems

A.S. Fokas, A Unified Transform Method for Solving Linear and Certain Nonlinear PDE’s. Proc. R.
Soc. Lond. A 453, 14111443 (1997).

A.S. Fokas, On the Integrability of Linear and Nonlinear PDEs, J. Math. Phys. 41, 41884237
(2000).
(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 and L.Y. Sung, Generalised Fourier Transforms, their Nonlinearisation and the Imaging
of the Brain, Notices of the AMS 52, 11761190 (2005).

A.S. Fokas, Lax Pairs: A Novel Type of Separability (invited paper for the special volume of the
25th anniversary of Inverse Problems), Inverse Problems 25, 144 (2009).

A.S. Fokas and E.A. Spence, Synthesis as Opposed to Separation of Variables, SIAM Review 54,
291324 (2012).
(i) Linear Evolution PDEs

A.S. Fokas, A New Transform Method for Evolution PDEs, IMA J. Appl. Math. 67, 132 (2002).

A.S. Fokas and P.F. Schultz, The longtime asymptotics of moving boundary problems using an
Ehrenpreistype representation and its RiemannHilbert nonlinearisation, Comm. Pure Appl. Maths 56,
517548 (2002).

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

A.S. Fokas and B. Pelloni, Boundary Value Problems for Boussinesq type Systems, Math. Phys.
Anal. and Geom. 8, 5996 (2005).

A.S. Fokas and B. Pelloni, A Transform Method for Evolution PDEs on the Interval, IMA J. Appl.
Maths 75, 564587 (2005).

P.A. Treharne and A.S. Fokas, Initialboundary Value Problems for Linear PDEs with Variable
Coefficients, Camb. Phil. Soc. 143, 221242 (2007).

N. Flyer and A.S. Fokas, A Hybrid Analytical Numerical Method for Solving Evolution Partial
Differential Equations. I. The HalfLine, Proc. R. Soc. 464, 18231849 (2008).

A.S. Fokas and B. Pelloni, Generalized DirichlettoNeumann Map in TimeDependent Domains,
Stud. Appl. Math. 129, 5190 (2012).
(ii) Linear Elliptic PDEs

A.S. Fokas, Two Dimensional Linear PDE’s in a Convex Polygon, Proc. R. Soc. Lond. A 457,
371393 (2001).

D. benAvraham and A.S. Fokas, The Modified Helmholtz Equation in a Triangular Domain and an
Application to Diffusionlimited Coalescence, Phys. Rev. E 64, 0161146 (2001).

A.S. Fokas and A.A. Kapaev, On a Transform Method for the Laplace Equation in a Polygon, IMA
J. Appl. Math. 68, 355408 (2003).

D. Crowdy and A.S. Fokas, Explicit Integral Solutions for the Plane Elastostatic SemiStrip, Proc.
R. Soc. London A 460, 12851309 (2004).

Y. Antipov and A.S. Fokas, A transform method for the modified Helmholtz equation on the semistrip,
Math. Proc. Camb. Phil. Soc. 137 (2004).

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, 465483 (2004).

G.Dassios and A.S. Fokas, The Basic Elliptic Equations in an Equilateral Triangle, Proc. R. Soc.
Lond. A 461, 27212748 (2005).

A.G. Sifalakis, A.S. Fokas, S. Fulton and Y.G. Saridakis, The Generalised Dirichlet to Neumann Map
for Linear Elliptic PDEs and its Numerical Implementation, J. Comput. Appl. Math. 219, 934
(2008).

G.Dassios and A.S. Fokas, Methods for Solving Elliptic PDEs in Spherical Coordinates, SIAM J. of
Appl. Math. 68, 10801096 (2008).

E.A. Spence and A.S. Fokas, A New Transform Method I: Domain Dependent Fundamental Solutions
and Integral Representations, Proc. R. Soc. A. 466, 22592281 (2010).

E.A. Spence and A.S. Fokas, A New Transform Method II: the Global Relation, and Boundary Value
Problems in Polar Coordinates, Proc. R. Soc. A. 466, 22832307 (2010).

A. Charalambopoulos, G. Dassios and A.S. Fokas, Laplace’s equation in the exterior of a convex
polygon: the equilateral triangle, Quart. Appl. Math. 68 , 645660 (2010).

M. Dimakos and A.S. Fokas, The Poisson and the Biharmonic Equations in the Interior of a Convex
Polygon, Stud. Appl. Math. (to appear)

A.S. Fokas and K. Kalimeris, Eigenvalues for the Laplace Operator in the Interior of an Equilateral
Triangle (submitted).

A.C.L Ashton and A.S Fokas, Elliptic Boundary Value Problems in Convex Polygons with Low
Regularity Boundary Data and Corner Singularities (submitted).

A.S. Fokas and S.A. Smithman, The Fourier Transforms of the Chebysev and Legendre Polynomials
(submitted).
(iii) Integrable Nolinear Evolution PDEs

A.S. Fokas, Integrable Nonlinear Evolution Equations on the HalfLine, Comm. Math. Phys. 230,
139 (2002).

A. Boutet de Monvel, A.S. Fokas and D. Shepelsky, The Analysis of the Global Relation for the
Nonlinear Schr¨odinger Equation on the HalfLine, Lett. Math. Phys. 65, 199212 (2003).

A. Boutet de Monvel, A.S. Fokas and D. Shepelsky, The Modified KdV Equation on the HalfLine,
J. of the Inst. of Math. Jussieu 3, 139164 (2004).

A.S. Fokas and S. Kamvissis, Zero Dispersion Limit for Integrable Equations on the HalfLine with
Linearisable Data, Abstract and Applied Analysis 5, 361370 (2004).

A.S. Fokas, Linearizable InitialBoundary Value Problems for the sineGordon Equation on the Half
Line, Nonlinearity 17, 15211534 (2004).

A.S. Fokas and A.R. Its, The Nonlinear Schrodinger Equation on the Interval, J. Phys. A: Math.
Gen. 37, 60916114 (2004).

A.S. Fokas, A.R. Its and L.Y. Sung, The Nonlinear Schroedinger Equation on the HalfLine, Nonlinearity
18, 17711822 (2005).

A.S. Fokas, A Generalised Dirichlet to Neumann Map for Certain Nonlinear Evolution PDEs, Comm.
Pure Appl. Math. LVIII, 639670 (2005).

A. Boutet de Monvel, A.S. Fokas and D. Shepelsky, Integrable Nonlinear Evolution Equations on the
Interval, Comm. Math. Phys. 263, 133 (2006).

P.A. Treharne, A.S. Fokas, The Generalized Dirichlet to Neumann map for the KdV Equation on the
HalfLine, J. Nonlinear Science 18, 191217 (2008).

J. Lenells and A.S. Fokas, On a Novel Integrable Generalization of the nonlinear Schrodinger Equation,
Nonlinearity 22, 1127 (2008).

J. Lenells and A.S. Fokas, An Integrable Generalization of the Nonlinear Schrodinger Equation on
the Halfline and Solitons, Inverse Problems 25, 115006 (2009).

A.S. Fokas and J. Lenells, Explicit Soliton Asymptotics for the KortewegdeVries Equation on the
HalfLine, Nonlinearity 23, 937976 (2010).

J. Lenells and A.S. Fokas, On a novel integrable generalization of the sineGordon equation, J. Math.
Phys. 51, 023519 (2010).

A.S. Fokas and J. Lenells, The Unified Method: I NonLinearizable Problems on the HalfLine, J.
Phys. A 45, 195201 (2012).

J. Lenells and A.S. Fokas, The Unified Method: II NLS on the HalfLine with tperiodic Boundary
Conditions, J. Phys. A 45, 195202 (2012).

J. Lenells and A.S. Fokas, The Unified Method: III NonLinearizable Problems on the Interval, J.
Phys. A 45, 195203 (2012).

S. De Lillo and A.S. Fokas, The Burgers Equation on a Fixed and on a Moving Boundary (submitted).

A.S. Fokas and G. Hwang, An Example of an Explicit Construction of the Asymptotic Form of the
Neumann Boundary Value for the NLS (submitted).
(iv) Integrable Nolinear Elliptic PDEs

J. Lenells and A.S. Fokas, Boundary Value Problems for the Stationary Axisymmetric Einstein
Equations: A Rotating Disk, Nonlinearity 24, 177206 (2011).

A.S. Fokas and B. Pelloni, The DirichlettoNeumann Map for the Elliptic sineGordon Equation,
Nonlinearity 25, 1011 (2012).

A.S. Fokas, J. Lenells and B. Pelloni, Boundary Value Problems for the Elliptic sineGordon Equation
in a SemiStrip, J. Nonlinear Science (in press).
(v) Nonlinear Evolution PDEs in 2+1

A.S. Fokas, The DaveyStewartson I Equation on the Quarter Plane with
Homogeneous Dirichlet Boundary Conditions, J. Math. Phys. 4,
32263244 (2003).

A.S. Fokas, The DaveyStewartson on the HalfPlane, Comm. Math. Phys. 289, 957993 (2009).

D. Mantzavinos and A.S. Fokas, The KPII Equation on the HalfPlane, Physica D 240, 477511
(2011).
2. Medical Imaging and Inverse Problems
(i) PET and SPECT

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).

G.A. Kastis, A. Samartzis and A.S. Fokas, Comparison between Filtered BackProjection and Spline
and Chebysev Reconstruction Techniques, European Association of Nuclear Medicine, Vienna, 2010.

G.A. Kastis, A. Gaitanis, Y. Fernadez, G. Kontaxakis and A.S. Fokas, Evaluation of a Spline Reconstruction
Technique: Comparison with FBP, MLEM and OSEM, IEEE, Nuclear Medicine Symposium
– Medical Imaging Conference, USA, 2010.

P.E. Barbano, A.S. Fokas and C.B. Schonlieb, Alternating Regularisation in Measurement and Image
Space for PET Reconstruction, 9th International Conference on Sampling Theory and Applications,
Singapore, 2011.
(ii) MEG and EEG

A.S. Fokas, Y. Kurylev and V. Marinakis, The Unique Determination of the Neuronal Current in the
Brain via Magnetoencephalography, Inverse Problems 20, 10671082 (2004).

G. Dassios, A.S. Fokas and F. Kariotou, On the NonUniqueness of the Inverse Magnetoencephalography
Problem, Inverse Problems 21, L1L5 (2005).

G.Dassios, A.S. Fokas and D.Hadjiloizi, On the complementarity of Electroencephalography and Magnetoencephalography,
Inverse Problems 23, 25412549 (2007).

A.S. Fokas, ElectroMagnetoEncephalography for the threeShell Model: Distributed Current in
Arbitrary, Spherical and Ellipsoidal Geometries, J. R. Soc. Interface 6, 479488 (2009).

G. Dassios, A.S. Fokas, ElectroMagnetoEncephalography for the 3Shell Model: Dipoles and Beyond
for Spherical Geometry, Inverse Problems 25, 120 (2009).

G.Dassios and A.S. Fokas, ElectroMagnetoEncephalography and Fundamental Solutions, Q. J.
Appl. Math. 67, 771780 (2009).

G. Dassios and A.S. Fokas, ElectroMagnetoEncephalography for the threeShell Model: A Single
Dipole in Ellipsoidal Geometry, Mathematical Methods in the Applied Sciences 35, 14151422 (2012).

A.S. Fokas, O. Hauk and V. Michel, ElectroMagnetoEncephalography for the threeShell Model:
Numerical Implementation for Distributed Current in Spherical Geometry, Inverse Problems 28,
035009 (2012).

A.S. Fokas and Y. Kurylev, ElectroMagnetoEncephalography for the threeShell Model: Minimal
L2norm in Spherical Geometry, Inverse Problems 28, 035010 (2012).
(iii) Gravitometry

V. Michel and A.S. Fokas, A Unified Approach to Various Techniques for the NonUniqueness of the
Inverse Gravimetric Problem and Wavelet Based Methods, Inverse Problems 24, 123 (2008).
3. Asymptotics of the Riemann and Related Functions

A.S. Fokas and M.L. Glasser, The Laplace Equation in the Exterior of the Hankel Contour and Novel
Identities for the Hypergeometric Functions, arXiv:1206.4544.

A.S. Fokas and J. Lenells, On the asymptotics of the Riemann zeta function to all orders,
arXiv:1201.2633.
Additional Areas of Interest
1. Integrable Nonlinear Multidemnsinal PDEs

A.S. Fokas, D.E. Pelinovski and C. Sulem, Interaction of Lumps with a Line Soliton for the DSII
Equation, Physica D 152153, 189198 (2001).

A.S. Fokas and A.K. Pogrebkov, Inverse Scattering Transform for the
KPI Equation on the Background of a oneLine Soliton, Nonlinearity
16, 771783 (2003).

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, 424438 (2005).

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

A.S. Fokas, Nonlinear Fourier Transforms, Integrability and
Nonlocality in Multidimensions, Nonlinearity 20, 20932113 (2007).

A. S. Fokas, Soliton Multidimensional Equations and Integrable
Evolutions Preserving Laplace's Equation, Phys. Lett. A 372, 12771279 (2008).

A.S. Fokas, The DBar Method, Inversion of Certain Integrals and Integrability in 4 + 2 and 3 + 1
Dimensions, J. Phys. A 41, 116 (2008).

A.S. Fokas, The KadomtsevPetviashvili Equation Revisited and Integrability in 4+2 and 3+1, Stud.
Appl. Math. 122, 347359 (2009).

M. Dimakos and A.S. Fokas, Linearizable Nonlinear PDEs in Multidimensions, J. Math. Phys. (to
appear).

M. Dimakos and A.S. Fokas, DaveyStewartson Type Equations in 4+2 and 3+1 Possessing Soliton
Solutions (submitted).
2. Fluid Mechanics

A.S. Fokas and D.T. Papageorgiou, Absolute and Convective Instability
for Evolution PDEs on the HalfLine, Stud. Appl. Math. 114,
95114 (2005).

A.S. Fokas and J.T. Stuart,
The Time Periodic Solution of the Burgers
Equation on the HalfLine and an Application to Steady Streaming,
J. of Nonlinear Math. Phys. 12, 302314 (2005).

M.J. Ablowitz, A.S. Fokas and Z.H. Musslimani, On a New Nonlocal Formulation
of Water Waves, J. Fluid Mechanics 562, 313344 (2006).

J.L. Bona and A.S. Fokas, InitialBoundaryValue Problems for Linear and Integrable Nonlinear
Dispersive PDEs, Nonlinearity 21, 195203 (2008).

A.C.L Ashton and A.S Fokas, A NonLocal Formulation for Rotational Water Waves, J. Fluid.
Mechanics 689, 129148 (2011).

A.S. Fokas and A. Nachbin, Water Waves over a Variable Bottom: A NonLocal Formulation and
Conformal Mapping, J. Fluid. Mechanics 695, 288309 (2012).
3. Complex Analysis and Generalisations

A.S. Fokas and D.A. Pinotsis, The Dbar Formalism for Certain Linear
NonHomogeneous Elliptic PDEs in Two Dimensions, Eur. J.
Appl. Math. 17, 323346 (2006).

A.S. Fokas and D.A. Pinotsis, Quaternions, Evaluation of Integrals and
Boundary Value Problems, Comp. Meth. Funct. Theory 7, 443476 (2007).

D.G. Crowdy and A.S. Fokas, Conformal Mappings to Doubly Connected
Polycircular Arc Domains, Proc. R. Soc. A 463, 18851907 (2007)

D.G. Crowdy, A.S. Fokas and C.C. Green, Conformal Mappings to Multiply Connected Polycircular
Arc Domains, Comp. Meth. Funct. Theory 11, 685706 (2011).
4. Protein Folding

A.S. Fokas, I.M. Gelfand and A.E. Kister, Prediction of the Structural
Motifs of Sandwich Proteins, PNAS 101, 1678016783 (2004).

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, 1585115853 (2005).

A.E. Kister, A.S. Fokas, T.S. Papatheodorou, I.M. Gelfand, Strict Rules
Determine the Arrangement of Strands in Sandwich Proteins, PNAS 103, 41074110 (2006).

T.S. Papatheodorou and A.S. Fokas, Systematic Construction and Prediction of the Arrangement of
the Strands of Sandwich Proteins, J. R. Soc. Interface 6, 6373 (2008).