Matias Ruiz

Address: James Clerk Maxwell Building, The King’s Buildings, Edinburgh EH9 3FD Scotland UK
Email: matias.ruiz [at]

I am a Whittaker Research Fellow in the Applied and Computational Mathematics group of the School of Mathematics of the University of Edinburgh. [CV]

Research interest

My research aims to apply a wide range of analytical and computational tools to study topical problems in electromagnetic theory.
Keywords: Electromagnetic resonances, plasmonic eigenvalue problem, PDEs, spectral theory, asymptotic analysis.



  • Mathematical and Computational Methods in Photonics and Phononics, Mathematical Surveys and Monographs, American Mathematical Society, (2018).
    with H. Ammari, B. Fitzpatrick, H. Kang, S. Yu, and H. Zhang.


  1. Slender body theory for plasmonic resonances, Proceedings of the Royal Society A 475 (2229), 20190294, (2019).
    with O. Schnitzer.
  2. Shape reconstruction of nanoparticles from their associated plasmonic resonances”, Journal de Mathématiques Pures et Appliquées 122, 23-48, (2019).
    with H. Ammari, M. Putinar, S. Yu, and H. Zhang.
  3. Heat generation of plasmonic nanoparticles, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal16.1, 356–384, (2018).
    with H. Ammari and F. Romero.
  4. Field expansions for systems of strongly coupled plasmonic nanoparticles, SIAM Journal on Numerical Analysis 56 (4), 2029-2044, (2018).
    with H. Ammari, S. Yu, and H. Zhang.
  5. Reconstructing fine details of small objects by using plasmonic spectroscopic data. Part II: The strong interaction regime, SIAM Journal on Imaging Sciences 11.3, 1931–1953, (2018).
    with H. Ammari, S. Yu, and H. Zhang.
  6. Reconstructing fine details of small objects by using plasmonic spectroscopic data, SIAM Journal on Imaging Sciences 11 (1), 1-23, (2017).
    with H. Ammari, S. Yu, and H. Zhang.
  7. Mathematical analysis of plasmonic nanoparticles: the scalar case, Archive for Rational Mechanics and Analysis 224 (2), 597-658, (2017).
    with H. Ammari, P. Millien, and H. Zhang.
  8. Mathematical and numerical framework for metasurfaces using thin layers of periodically distributed plasmonic nanoparticles, Proceedings of the Royal Society A 472 (2193) 20160445, (2016).
    with H. Ammari, S. Yu, W. Wu, and H. Zhang.
  9. Mathematical analysis of plasmonic resonances for nanoparticles: the full Maxwell equations, Journal of Differential Equations 261 (6), 3615-3669, (2016).
    with H. Ammari, S. Yu, and H. Zhang.


  1. Radar detection for non-stationary Doppler signal in one burst based on information geometry distance between paths, 2015 16th International Radar Symposium (IRS), 422-427, (2015).
    with F. Barbaresco.


  • Webinar: Joint Webinar on Analysis and Computation in Materials Science, 22/09/2020. (invited)
  • Workshop: TNTN2020, Zuse institute, Berlin, Germany, 12/02/2020. (contributed)
  • Seminar: Nanophotonics and electromagnetism group seminar, Laboratoire Charles Fabry, Institut d'Optique, Palaiseau, France, 12/11/2019. (invited)
  • Seminar: POEMS seminar, POEMS group (CNRS, INRIA & ENSTA), Palaiseau, France, 04/11/2019. (invited)
  • Conference: Meta 2019, Lisbon, Portugal, 23/07/2019. (contributed)
  • Conference: International Congress on Industrial and Applied Mathematics (ICIAM) 2019, Valencia, Spain, 16/07/2019. (contributed)
  • Conference: Applied Inverse Problems (AIP) 2019, Grenoble, France, 08/07/2019. (invited)
  • Seminar: Math post-doc seminar, Imperial College, London, UK, 29/05/2019.
  • Workshop: The Mathematics of Metamaterials workshop, Department of Mathematics, University of Liverpool, Liverpool, UK, 10/05/2019. (invited)
  • Conference: British Applied Mathematics Colloquium (BAMC) 2019, Bath, UK, 25/04/2019. (contributed)
  • Conference: Applied Inverse Problems (AIP) 2017, Hangzhou, China, 02/06/2017. (invited)
  • Conference: Applied Inverse Problems (AIP) 2017, Hangzhou, China, 31/05/2017. (invited)
  • Conference: Waves 2017, Minneapolis, USA, 16/05/2017. (contributed)
  • Conference: 10th International Conference on Computational Physics (ICCP10), Macao, China, 18/01/2017. (invited)
  • Seminar: Mathematics department seminar (part of a research visit to Dr. Hai), Department of Mathematics, Hong-Kong University of Science and Technology, Hong-Kong, China, 13/01/2017. (invited)
  • Conference: 14th International Conference on Integral Methods in Science and Engineering (IMSE 2016), Padova, Italy, 19/07/2016. (contributed)
  • Conference: Inverse Problems in the Physical Sciences (Satellite conference of the International Congress on Mathematical Physics 2015), Santiago, Chile, 05/08/2015. (invited)


  • Research Skills for Computational and Applied Mathematics, MSc in Applied Mathematics, The University of Edinburgh, 10/2020 - present. (tutoring)
  • Asymptotic Methods, MSc in Applied Mathematics, Imperial College London, 10/2019 - 11/2019. (co-lectured)
  • Linear Algebra, Cycle Pluridisciplinare d'Etues Supérieures (economics), Paris Sciences et Lettres (PSL), 09/2014 - 01/2015 and 01/2016 - 06/2016. (lectured)