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Marco Marletta FLSW

Marco Marletta

FLSW

Users
Available for postgraduate supervision

Teams and roles for Marco Marletta

Overview

NEWS (August 2026): You can watch a video of me giving an invited talk at the Isaac Newton Institute in Cambridge describing my work on resonances and computational complexity.  

NEWS (April 2026): You can watch a video of me giving an invited talk at the Isaac Newton Institute in Cambridge that summarises some of my recent work. If you are a prospective research student who finds these topics interesting, please contact me.

NEWS (Dec 2025): The Leverhulme Trust has just awarded me a grant for a 3-year research project entitled `Maxwell and Drude Lorentz, spectra and resonances: how hard can they be?' A three year postdoctoral position is available from September.

I work on differential operators and operator pencils, using both analysis and computational mathematics. My work has received significant funding from UKRI, the European Union and the Leverhulme Trust, including a Leverhulme Fellowship. I have supervised several MSCA Fellows.

Much of my work concerns models arising in applied mathematics and mathematical physics, including Schroedinger and Maxwell equations. I also work on inverse problems (typically, Calderon-type problems): these involve determining the interior parameters in a physical system by making measurements on an exterior boundary. Mathematically, this means determining differential equations from a knowledge of some (generalised) Dirichlet to Neumann map. 

I am interested in the limits of what computers can actually tell us about the real world, or about our models of it - see, e.g., my 2023 paper on computation of scattering resonances, in Journal of the European Mathematical Society. This work involves different measures of `hardness' for computational problems.

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 London Mathematical Society.

Please see my personal web page for further details.

Research group

Teaching

I currently teach MA1005/1055 Foundations I (20 credits, shared with Dr Ulrich Pennig) and MA2009 Complex Analysis and Functional Series. These are fundamental subjects that most mathematics graduates across the world learn during their studies; in many European countries they are also taught as part of the core curriculum to engineers. 

Administrative duties

  • Head of the Mathematical Analysis Group
  • Health, Safety, Environment, Compliance & Wellbeing Lead for the School of Computational and Mathematical Sciences.

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

Publication

2026

2024

2023

2022

2021

2020

2019

2017

2016

2014

2013

2012

2010

2009

2008

2007

2005

2004

2001

Articles

Research

Current and past collaborators

External funding since 2000

My research funding from EPSRC was continuous from my first grant in 1994 until August 2023. 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, Leverhulme Research Project `Maxwell and Drude Lorentz, spectra and resonances: how hard can they be?' - October 2026 -- September 2029. £213,551.
  • Supervisor, International Mobility of Researchers MSCA-F-CZ-II Fellowship of Dr Iveta Semorádová (October 2023 - September 2025). 
  • 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

  • Invited speaker, Banff BIRS workshop on The New Frontier of Herglotz-Nevanlinna Functions, Banff, Canada, October 2026.
  • Invited speaker, Operator methods for dynamical systems, Isaac Newton Institute, Cambridge, August 2026 - https://www.youtube.com/watch?v=DylsY1Ws5Sg
  • Plenary speaker, Interactions of geometric spectral theory with numerical methods and applications, Isaac Newton Institute, Cambridge, April 2026 - https://www.youtube.com/watch?v=m56-rHVZVSA
  • Plenary speaker, Modern Applications of Microlocal Analysis, University College London, February 2026. 
  • Plenary speaker, Special Paris-London Seminar on the Legacy of E. Brian Davies FRS, November 2025. 
  • Plenary speaker, Spectral Theory and Differential Operators, Graz, Sept 2025.
  • Invited speaker, Spectral Theory Workshop, Durham, April 2025.
  • Plenary speaker, Heinz Langer Memorial Conference, Vienna, Feb 2025.
  • Invited speaker, LMS-Bath Workshop on Spectral Theory, Bath, July 2024.
  • Isaac Newton Institute RNT Final Workshop, June 2023
  • BIRS-JP workshop on Differential-Algebraic Equations and Operator Pencils, April 2023.
  • Erwin Schrodinger Institute, Vienna, November 2022: apologies to colleagues who kindly invited me; I was unable to attend due to teaching commitments.
  • 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, San Jose, California, 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).

Teaching

Modules I currently teach

  • Foundations I (20 credits, shared with Dr Ulrich Pennig)
  • Complex Analysis and Functional Series (20 credits)

These are both fundamental subjects taken by the majority of our undergraduates; in the case of Foundations I, currently taken by literally all our undergraduates!

If you are a student on one of these modules you should have access to the relevant pages on the University's Blackboard Ultra platform `Learning Central'.

I hold a Postgraduate Certificate in Teaching in Higher Education from the University of Leicester  and have mentored numerous colleagues through their higher education teaching qualifications over the years.

As an undergraduate in Edinburgh I was taught by the then Head of Department, A.G. Mackie. Professor Mackie told his class that it was an Edinburgh tradition that the Head of Department should teach a first year course. I have always particularly enjoyed teaching first year courses and think it is important that senior academics be engaged in significant undergraduate teaching. 

Biography

Professor of Mathematics, Cardiff University, 2006 to present;

Senior Lecturer, then Reader in Mathematics, Cardiff University, 2002-2006;

Leverhulme Fellow visiting Computer Science, Cardiff University, 2001-2002.

Lecturer, then Senior Lecturer in Numerical Analsis, University of Leicester, 1991-2002;

Research Associate, Royal Military College of Science, 1988-1991.

Honours and awards

Simons Fellow, Isaac Newton Institute, Cambridge, 2026.

Fellow of the Learned Society of Wales, elected 2016.

Editorial Board Member of the London Mathematical Society since 2019.

Editorial Board Member of Mathematische Nachrichten since 2018.

Leverhulme Fellowship, 2001-2002.

Member of EPSRC Peer Review College, 2002 -- present.

CEGB Prizewinner, MSc in Mathematical Modelling and Numerical Analysis, Oxford University, 1988.

Napier Medallist, Edinburgh University, 1987.

Professional memberships

  • Member of the London Mathematical Society
  • Member of the European Mathematical Society
  • Member of the Society for Industrial and Applied Mathematics

Speaking engagements

  • Invited speaker, Banff BIRS workshop on The New Frontier of Herglotz-Nevanlinna Functions, Banff, Canada, October 2026.
  • Invited speaker, Operator methods for dynamical systems, Isaac Newton Institute, Cambridge, August 2026 - https://www.youtube.com/watch?v=DylsY1Ws5Sg
  • Plenary speaker, Interactions of geometric spectral theory with numerical methods and applications, Isaac Newton Institute, Cambridge, April 2026 - https://www.youtube.com/watch?v=m56-rHVZVSA
  • Plenary speaker, Modern Applications of Microlocal Analysis, University College London, February 2026. 
  • Plenary speaker, Special Paris-London Seminar on the Legacy of E. Brian Davies FRS, November 2025. 
  • Plenary speaker, Spectral Theory and Differential Operators, Graz, Sept 2025.
  • Invited speaker, Spectral Theory Workshop, Durham, April 2025.
  • Plenary speaker, Heinz Langer Memorial Conference, Vienna, Feb 2025.
  • Invited speaker, LMS-Bath Workshop on Spectral Theory, Bath, July 2024.
  • Isaac Newton Institute RNT Final Workshop, Cambridge, June 2023
  • BIRS-JP workshop on Differential-Algebraic Equations and Operator Pencils, Banff, April 2023.
  • Erwin Schrodinger Institute, Vienna, November 2022: apologies to colleagues who kindly invited me; I was unable to attend due to teaching commitments.
  • Plenary speaker, IWOTA, Krakow, 2022.
  • Plenary speaker, Ricardo Wedder 70th birthday meeting, Mexico City, 2020.
  • Plenary speaker, OTAMP, Euler Institute, St Petersburg, 2016.

Committees and reviewing

Member of the Scientific Advisory Committee of the UK Spectral Theory Network, 2023 to present.

Member of the Organizing Committee of the British Mathematical Colloquium 2026.

Contact Details

Email [email protected]
Telephone +44 29208 75552
Campuses Abacws, Room 5.52, Senghennydd Road, Cathays, Cardiff, CF24 4AG

Research themes

Specialisms

  • Mathematical Analysis
  • Numerical and computational mathematics
  • Inverse Problems
  • Mathematical physics

External profiles