Boundary Value Problems and Medical Imaging

Center for Applied Mathematical Sciences and Civil and Environmental Engineering Joint Colloquium

A Center for Applied Mathematical Sciences and Civil and Environmental Engineering Joint Colloquim lecture.

Thanasis Fokas
University of Cambridge, UK

Abstract: In the late 60s a new area emerged in mathematical physics known as "Integrable Systems". Ideas and techniques of "Integrability" have had a significant impact in several areas of mathematics, science and engineering, from the proof of the Schottky problem in algebraic geometry, to optical communications.In this lecture, two such implications will be reviewed: (a) A novel method for analysing boundary value problems, which unifies the fundamental contributions to the analytical solution of PDEs of Fourier, Cauchy and Green, and also constructs a non-linearization of some of these results. This method has led to the emergence of new numerical techniques for solving linear elliptic PDEs in polygonal domains. (b) A new approach for solving the inverse problems arising in certain important medical imaging techniques, including Single Photon Emission Computerised Tomography (SPECT).

A.S. Fokas received a BSc in Aeronautics from Imperial College (1975); he obtained a PhD in Applied Mathematics from Caltech (1979), and a MD from the University of Miami, School of Medicine (1986). In 1986, he was appointed Professor and Chair 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 2000, he was awarded the Naylor Prize, the most prestigious Prize in Applied Mathematics and Theoretical Physics in UK. He was awarded the Aristeion Prize in Sciences of the Academy of Athens, as well as the Excellence Prize of the Bodossaki Foundation. He has received honorary degrees from six Universities and also has been decorated as the Commander of the Order of Phoenix by the President of the Hellenic Republic. In 2009, he was selected as Guggenheim Fellow. He is the first ever Applied Mathematician to be elected a full member to the Academy of Athens. He is a Professorial Fellow at Clare Hall, Cambridge. He is the author or co-author of three monographs and more than 250 papers, as well as the co-editor of seven books. ISI Web of Science includes A.S. Fokas in the list of the most highly cited researchers in the field of Mathematics.

Reception: 4:00 p.m.
KAP 410

  • Britta Bothe
  • University of Southern California
  • Taper Hall 353
  • 3501 Trousdale Parkway #255
  • Los Angeles, CA 90089-4353