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

NEWS

Research interests

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

Publications

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.
Preprint ArXiv.

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

PhD thesis

My PhD thesis is available here (in french).

Talks (past and future)

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.

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