Thomas Ourmières-Bonafos

Maître de conférences

Institut de Mathématiques de Marseille

Member of the team Analyse Appliquée

I2M, Centre de Mathématiques et Informatique
Technopôle de Château Gombert
39, rue F. Joliot Curie
13453 Marseille Cedex 13

E-mail :
Phone : (+33) 04-13-55-14-69
Office : R226
Photo credits: Yohann Le Floch

Research                  Enseignements

Research interests


  1. Spectral asymptotics of the Dirac operator in a thin shell, with Vladimir Lotoreichik.
    Preprint ArXiv.
  2. Spectral properties of relativistic quantum waveguides, with William Borrelli, Philippe Briet and David Krejčiřík,
    Annales Henri Poincaré 23, 4069-4114 (2022). ArXiv - journal
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. Dirichlet spectrum of the Fichera layer, with Monique Dauge and Yvon Lafranche,
    Integral Equations and Operator Theory, 90:60, 2018. ArXiv - journal
  9. Dirac operators with Lorentz scalar interactions, with Markus Holzmann and Konstantin Pankrashkin,
    Reviews in Mathematical Physics, vol. 30, No. 05, 1850013, 2018. - ArXiv - journal
  10. 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
  11. 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
  12. 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
  13. Discrete spectrum of interactions concentrated near conical surfaces, with Konstantin Pankrashkin,
    Applicable Analysis, vol. 97(9), 2018 - ArXiv - journal
  14. 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
  15. 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
  16. 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
  17. Dirichlet eigenvalues of asymptotically flat triangles,
    Asymptotic Analysis, 92(3-4) :279-312, 2015 - HAL - journal
  18. Dirichlet eigenvalues of cones in the small aperture limit,
    Journal of Spectral Theory, 4(3) :485-513, 2014 - HAL - journal

Other publications

  1. Spectral asymptotics for two-dimensional Dirac operators in thin waveguides, with William Borrelli and Nour Kerraoui,
    Preprint ArXiv:2207.08700. ArXiv
  2. 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

Talks (past and future)

, technopôle de Château Gombert, 39 rue F. Joliot Curie 13453 Marseille Cedex 13, France