Matias Ruiz
Address: James Clerk Maxwell Building, The King’s Buildings, Edinburgh EH9 3FD Scotland UK
Email: matias.ruiz [at] ed.ac.uk
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.
news:
- Plasmonics workshop 15-17/06/2020 — Postponed
Publications

Book
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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.
Journals
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Slender body theory for plasmonic resonances,
Proceedings of the Royal Society A 475 (2229), 20190294, (2019).
with O. Schnitzer. -
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. -
Heat generation of plasmonic nanoparticles,
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal16.1, 356–384, (2018).
with H. Ammari and F. Romero. -
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. -
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. -
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. -
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. -
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. -
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.
Other
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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.
Talks
- 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)
Teaching
- 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)