Professor Marco Marletta
Telephone: +44(0)29 208 75552
Fax: +44(0)29 208 74199
My interests are in spectral problems for ordinary and partial differential operators and involves both analysis and computational mathematics. The Engineering and Physical Sciences Research Council have funded my work since 1994 and I have also had significant funding from the Leverhulme Trust and the London Mathematical Society.
My most recent work has been on the numerical solution of spectral problems for ODEs and PDEs on infinite domains. Central to this has been the study of the Titchmarsh-Weyl function for the ODE case, and of the Dirichlet to Neumann map for the PDE case.
I also work on inverse problems in spectral theory: these involve determining a problem from a knowledge of its spectral properties, usually through the Dirichlet to Neumann map, and have numerous applications.
Please see my personal web page for further details.
MA4001 Functional Analysis
MA1001 Elementary Differential Equations
Member of the School of Mathematics Management Board
Member of School Research Committee
Member of School Learning and Teaching Committee
Member of the Postgraduate Executive Team
Current and Past Collaborators
Des Evans in the School of Mathematics here in Cardiff.
Paolo Ghelardoni and Giovanni Gheri at Universita` di Pisa.
Lucas Jodar of Universitat Politecnica de Valencia.
Michael Levitin here in Cardiff, the new WIMCS professor of analysis.
Carsten Maple, now at Luton. Carsten was my first PhD student and got a chair before I did.
Sergei Naboko of Saint Petersburg State University.
John Pryce of the Royal Military College of Science, who was my PhD supervisor.
Roman Romanov of Saint Petersburg State University.
Andrei Shkalikov of Moscow State University.
Christiane Tretter of the University of Bern.
Marcus Wagenhofer of the University of Bremen.
External Funding Since 2000
EPSRC postdoc grant GR/R20885/01 (2002 to 2005)
EPSRC postdoc grant EP/C008324/1 (2006 to 2008)
EPSRC VF grant GR/S74072/01 (2004 to 2006)
EPSRC VF grant GR/S47229/01 (2004)
Leverhulme Fellowship (2001 to 2002)
EPSRC VF grant GR/R44959/01 (2001 to 2002)
EPSRC VF grant GR/N26159/01 (2000 to 2001)
I have also had LMS funding for a number of short meetings.
Invited Conference and Workshop Talks
Bath-RAL NA Day, September 2008
`Numerical Approaches to Oscillatory Functions', Ghent, January 2008.
Banach Centre Spectral Theory Workshop, Warsaw, 2007; 2005; 2003.
Inverse Problems Workshop, Liverpool, 2006.
Durham Symposium on Spectral Theory, 2005
Operator Theory and Applications in Mathematical Physics', keynote speaker, Poland, 2004.
AMS Meeting, Nashville, 2004.
Scottish Computational Mathematics Symposium, Edinburgh, 2001.