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Professor Marco Marletta

Professor Marco Marletta

Head of Mathematical Analysis Group

Email
marlettam@cardiff.ac.uk
Telephone
+44 (0)29 2087 5552
Campuses
5.52, Abacws, Senghennydd Road, Cathays, Cardiff, CF24 4AG

Overview

My interests are in spectral problems for ordinary and partial differential operators and operator pencils, and involve 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.

I work on spectral problems for ODEs and PDEs on infinite domains. Central to this have been the theory of boundary triples, Dirichlet to Neumann maps, esessential numerical ranges, and complex function theory. 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.

My most recent work has been on Maxwell equations.

In 2016 I was elected as a Fellow of the Learned Society of Wales.

I am a member of the London Mathematical Society, the European Mathematical Society and the Society for Industrial and Applied Mathematics.

I am a member of the Editorial Board of the LMS.

Please see my personal web page for further details.

Research group

Administrative duties

  • Head of the Mathematical Analysis Group
  • Member of School Research Committee

I was Deputy Head of School for 10 years and Director of Research for 8 years. These appointments ended on 30th of November 2021.

Personal website

Marco Marletta's personal pages

Biography

Publications

2022

2021

2020

2019

2017

2016

2014

2013

2012

2010

2009

2008

2007

2005

2004

2001

Teaching

  • Foundations I
  • Mathematics Masterclass

Current and past collaborators

External funding since 2000

My research funding from EPSRC has been continuous since I obtained my first grant in 1994. I have also benefitted immensely from the sponsorship of the Leverhulme Trust, the London Mathematical Society, the Royal Society and the European Union, as well as from funding provided by ICMS in Edinburgh and INI in Cambridge.

  • Principal Investigator, EPSRC PDRA grant on Spectral Localisation of Operator Pencils and Analytic Operator-Valued Functions: £324,844
  • Joint Investigator, EPSRC Network on Mathematics of Inverse Problems: £99,578.
  • Joint Investigator, EPSRC PDRA Grant on Inverse Problems in Magnetic Imaging: £430,833
  • Principal Investigator, WIMCS-Leverhulme Fellowships on Dissipative Operator Theory (£160,977)
  • Scientist in Charge, EU Marie Curie Project GRAPH-COUPL
  • Principal Investigator, EPSRC PDRA grant, with B.M. Brown (2005)
  • Sole applicant, EPSRC VF grant for Prof. C. Tretter (2004)
  • Joint investigator, EPSRC VF grant for Prof. S.N. Naboko (2004)
  • Leverhulme Fellowship (2001-2002)
  • Principal investigator, EPSRC VF grant for Prof A.A. Shkalikov (2001)
  • Sole applicant, EPSRC VF grant for Prof. L. Greenberg (2000)
  • Sole applicant, EPSRC VF grant for Prof. L. Jodar (1998)
  • Sole applicant, EPSRC VF grant for Prof. L. Greenberg (1998)
  • Sole applicant, EPSRC VF grant for Prof. L. Greenberg (1996)
  • Sole applicant, EPSRC VF grant for Prof. L. Greenberg (1994)
  • Joint applicant, 1998 EPSRC Numerical Analysis Summer School
  • Joint applicant, 1996 EPSRC Numerical Analysis Summer School
  • Joint applicant, 1994 EPSRC Numerical Analysis Summer School
  • Joint investigator, EPSRC PDRA grant, with B.M. Brown and W.D. Evans (2002)
  • 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)

Invited conference and workshop talks

  • Plenary speaker, IWOTA, Krakow, 2022.
  • Plenary speaker, Ricardo Wedder 70th birthday meeting, Mexico City, 2020.
  • Plenary speaker, OTAMP, Euler Institute, St Petersburg, 2016.
  • Plenary speaker, BIRS-Oaxaca meeting on Dirichlet to Neumann maps, 2016.
  • Plenary speaker, Spectral Theory and Applications, Krakow, 2015.
  • AIM Workshop on the Mathematical Aspects of Physics with Nonselfadjoint Operators, June 2015.
  • Plenary speaker, Kent Spectral Theory Meeting, Canterbury, March 2014.
  • Plenary speaker, TU-Hamburg ‘Kickoff Meeting’ on Applied Analysis, Hamburg-Harburg, July 2012.
  • Bath-RAL NA Conference, September 2008.
  • `Numerical Approaches to Oscillatory Functions', Ghent, January 2008.
  • Banach Centre Spectral Theory Workshop, Warsaw, 2007; 2005; 2003.
  • Inverse Problems Workshop, University of Liverpool, March 2006.
  • Durham Symposium on Spectral Theory, 2005
  • Banach Centre Conference on Operator Theory, Warsaw, Poland, July 2005.
  • American Mathematical Society Meeting, Nashville, Tenessee, October 2004.
  • AMS Meeting, Nashville, 2004.
  • Operator Theory and Applications in Mathematical Physics', keynote speaker, Poland, 2004.
  • EPSRC Spectral Theory Network, December 2003.
  • Banach Centre Conference on Operator Theory, Warsaw, Poland, August 2003.
  • EPSRC Spectral Theory Network, October 2001.
  • Scottish Computational Mathematics Symposium, Edinburgh, 2001.
  • Interdisciplinary Research Conference, Universitat Politecnica de Valencia, September 2001. Organizer: L. J`odar.
  • Scottish Computational Mathematics Conference, September 2001. Organizer: D. Sloan.
  • ‘Geometric Integration’: EPSRC-LMS workshop, Durham, July 2000.
  • Course of seminars on Hamiltonian Systems at the University of Pisa, April 1999.
  • ‘Computational Spectral Theory’: EPSRC workshop (1996).
  • ‘Computational Spectral Theory’: EPSRC workshop (1993).

Supervision