Thomas Ourmières-Bonafos Maître de conférences Institut de Mathématiques de Marseille Member of the team Analyse Appliquée Institut de Mathématiques de Marseille (I2M) 3 place Victor Hugo Case 19 13331 Marseille Cedex 3 France E-mail : thomas.ourmieres-bonafos@univ-amu.fr Phone : (+33) 04-13-55-14-69 Office : 8-C05

Photo credits: Yohann Le Floch

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Research interests

Schrödinger and Dirac operators, Spectral geometry, Semiclassical analysis, Asymptotic analysis.

ANR GeoDHa

I am the P.I. of the ANR project JCJC Geometrically Dependent Hamiltonians. More info here.

Publications

Geometric spectral properties of electromagnetic waveguides, with Philippe Briet, Maxence Cassier and Michele Zaccaron.
Preprint HAL.

Dirac bag model on thin domains: a microlocal viewpoint, with Loïc Le Treust and Nicolas Raymond.
Preprint HAL.

Spectral asymptotics of the Dirac operator in a thin shell, with Vladimir Lotoreichik,
Journal of Mathematical Analysis and Applications, vol. 546, Issue 2, 129-190 (2025). ArXiv- journal.

Spectral properties of relativistic quantum waveguides, with William Borrelli, Philippe Briet and David Krejčiřík,
Annales Henri Poincaré 23, 4069-4114 (2022). ArXiv - journal

A variational formulation for Dirac operators in bounded domains. Applications to spectral geometric inequalities, with Pedro R.S. Antunes, Rafael D. Benguria, Vladimir Lotoreichik,
Communications in Mathematical Physics 386, 781-818 (2021). ArXiv-journal

Two-dimensional Dirac operators with singular interactions supported on closed curves, with Jussi Behrndt, Markus Holzmann, Konstantin Pankrashkin,
Journal of Functional Analysis, vol. 279, issue 8, 2020. ArXiv-journal

A sharp upper bound on the spectral gap for graphene quantum dots, with Vladimir Lotoreichik,
Mathematical Physics, Analysis and Geometry, 22:13, 2019. ArXiv - journal

Dirac operators on hypersurfaces as large mass limits, with Andrei Moroianu and Konstantin Pankrashkin,
Communications in Mathematical Physics, 374, pages 1963-2013, 2020. ArXiv- journal

Effective operator for Robin eigenvalues in domains with corners, with Magda Khalile and Konstantin Pankrashkin,
Annales de l'Institut Fourier, Tome 70 (2020) no.5, pp. 2215-2301. ArXiv-journal

Dirichlet spectrum of the Fichera layer, with Monique Dauge and Yvon Lafranche,
Integral Equations and Operator Theory, 90:60, 2018. ArXiv - journal

Dirac operators with Lorentz scalar interactions, with Markus Holzmann and Konstantin Pankrashkin,
Reviews in Mathematical Physics, vol. 30, No. 05, 1850013, 2018. - ArXiv - journal
Self-adjointness of Dirac operators with infinite mass boundary conditions in sectors, with Loïc Le Treust,
Annales Henri Poincaré, 19(5), 1465-1487, 2018 - HAL - journal
Spectral asymptotics for delta-interactions on sharp cones, with Konstantin Pankrashkin and Fabio Pizzichillo,
Journal of Mathematical Analysis and Applications, 458, pp. 566 - 589, 2018 - ArXiv - journal
A strategy for self-adjointness of Dirac operators: Applications to the MIT bag model and delta-shell interactions, with Luis Vega,
Publicacions Matemàtiques, vol. 62(2), 2018. - ArXiv - journal
Discrete spectrum of interactions concentrated near conical surfaces, with Konstantin Pankrashkin,
Applicable Analysis, vol. 97(9), 2018 - ArXiv - journal
Spectral transitions for Aharonov-Bohm Laplacians on conical layers, with David Krejčiřík and Vladimir Lotoreichik,
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2019. ArXiv - journal
On the bound states of Schrödinger operators with delta-interactions on conical surfaces, with Vladimir Lotoreichik,
Communications in Partial Differential Equations, 41(6) :999-1028, 2016 - ArXiv - journal
Spectral asymptotics of the Dirichlet Laplacian in a conical layer, with Monique Dauge and Nicolas Raymond,
Communications on Pure and Applied Analysis, 14(3) :1239-1258, 2015 - HAL - journal
Dirichlet eigenvalues of asymptotically flat triangles,
Asymptotic Analysis, 92(3-4) :279-312, 2015 - HAL - journal
Dirichlet eigenvalues of cones in the small aperture limit,
Journal of Spectral Theory, 4(3) :485-513, 2014 - HAL - journal

Other publications

Spectral asymptotics for two-dimensional Dirac operators in thin waveguides, with William Borrelli and Nour Kerraoui,
Conference paper in Quantum Mathematics I (Springer INdAM Series). ArXiv - book

Dirac operators and shell interactions: a survey, with Fabio Pizzichillo,
Book chapter in Mathematical Challenges of Zero-Range Physics (Springer INdAM Series). ArXiv - book

HDR and PhD thesis

My HDR thesis is available here (most of the text is in english).

My PhD thesis is available here (in french).

Talks (past and future)

September 2025: Conference Dirac materials, Bordeaux.
August 2025: Conference Analytic and Algebraic Methods in Physics, Prague, Czech Republic.
May 2025: Nice Toulon Marseille days, Porquerolles.
January 2025: Séminaire Orléans, University of Orléans.
June 2024: Seminar Quantum Circle, Prague, Czech Republic.
May 2024: Seminar of Mathematical Physics and PDE, Bordeaux, France.
March 2023: Journée EDP IECL, Metz, France.
October 2022: Journée de rentrée of the Applied Analysis team, Marseille.
May 2022: Conference PDEs and Relativistic Quantum Mechanics, Nice, France.
October 2021: Conference Numerical Waves, Nice, France.
October 2020: Conference Spectral Theory and Geometry , Chalès, France.
March 2020: Séminaire Dynamique Quantique et Classique, CPT, Marseille.
February 2020: Special Functions and Semi-Classical Approximation, CIRM, Marseille, France.
June 2019: Workshop AIM Shape optimization with surface interactions, San José, USA.
March 2019: Journées jeunes EDPistes 2019, Rennes, France.
February 2019: Seminar of Applied Analysis, I2M, Marseille.
February 2019: Session "Recent advances in relativistic quantum mechanics" of the biennial congress of the Real Sociedad Matematica Espanola, Santander.
January 2019: 10-th itinerant workshop in PDE, Rome.
November 2018: Seminar Prague.
June 2018: Seminar of Mathematical Physics and PDE, Bordeaux.
June 2018: Seminar of Analysis, Mathematical Physics and Dynamical systems, Dortmund.
June 2018: Workshop The analysis of Dirac equations, Orsay.
April 2018: Conference Semi-classical and geometric asymptotics in mathematical physics, Toulon.
April 2018: Seminar Problèmes spectraux en physique mathématique, IHP.
February 2018: Doppler Institute Seminar, Prague.
January 2018: Séminaire Dynamique Quantique et Classique, CPT, Marseille.
December 2017: Séminaire EDP, Analyse et Applications, University of Lorraine, Metz.
September 2017: Conference ASPECT 17, University of Trier.
April 2017: Séminaire Analyse, University of Strasbourg.
March 2017: Seminar at TU Graz
March 2017: GdT Problèmes spectraux et physique mathématique, University Paris-Sud.
February 2017: Séminaire du MAPMO, University of Orléans.
February 2017: Conference in honor of Monique Dauge Numerics and mathematical analysis for Singularities and Eigenvalue Problems, Rennes.
January 2017: Journée Propagation des ondes dans les milieux composites : modélisation et simulation, University Paris 13.
October 2016: Journée de rentrée de l'équipe AN-EDP, University Paris-Sud.
June 2016: 8-th Singular days, Nancy.
February 2016: Seminar of Mathematical Physics and PDE of the Mathematical Institute of Bordeaux.
February 2016: Conference Mathematical challenges in Quantum Mechanics, Bressanone.
February 2016: 8-th meeting of the GDR DYNQUA, Grenoble.
January 2016: Seminar Quantum circle of the Doppler Institute, Prague.
March 2015: Seminar of mathematical physics, University of Grenoble 1.
February 2015: GOMS seminar, Marseille.
January 2014: Rennes-Nantes Day, University of Nantes.
November 2013: Seminar Landau of PhD students in analysis, Rennes.
October 2013: Workshop on waveguides, ENSTA
May 2013: Congress of the SMAI. Poster presentation.
December 2012: Seminar of PhD students in analysis and applied mathematics, University Paris-Est.
April 2012: Seminar Landau of PhD students in analysis, Rennes.
November 2011: Seminar at the Nuclear Physics Institute, Prague.

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I2M, 3 place Victor Hugo, Case 19 13331 Marseille Cedex 3, France