POSTDOC POSITION IN MATHEMATICAL PHYSICS IN BESANCON – COMUE Université Bourgogne Franche-Comté

JOB TITLE

POSTDOC POSITION IN MATHEMATICAL PHYSICS IN BESANCON

EMPLOYER

UBFC – 32 avenue de l’Observatoire – 25000 BESANCON

LOCATION

Laboratoire de mathématiques de Besançon, Université de Bourgogne Franche-Comté, France.

CONTRACT DURATION

12 or 18 months

DEADLINE APPLICATION

April 30, 2021

STARTING JOB

July 2021 and January 2022 up to December 2022, upon mutual agreement.

JOB DESCRIPTION

Postdoc’s research project. Black holes quasinormal modes (QNM) or resonances are a fundamental notion playing a key role in the detection of gravitational waves in the LIGO and VIRGO projects. Using a recently proposed hyperboloidal foliation approach due to Warnick¹, QNM can be viewed as mere eigenvalues of non-selfadjoint Schr¨odinger – like operators depending on the geometry of the black holes and on the particular hyperboloidal foliation. Numerical results due to Jaramillo et al.² indicate that QNM are unstable under small perturbations. Moreover, this instability phenomenon is confirmed by the numerical analysis of the pseudo-spectrum. The research project of this postdoc will consist in understanding both theoretically and numerically this observation and its universality (that is whether it depends on the geometry and/or the chosen hyperboloidal foliation). The foreseen research directions would be:

· analysing the inverse resonances problem, that is the problem of determining the geometry of the black hole from the knowledge of its QNM,

· providing a certified numerical scheme to compute the first QNM and overtones.

1. On quasi-normal modes of asymptotically anti-de Sitter black holes, CMP, 333 (2015), no. 2, 959-1035

2. Pseudospectrum and black hole quasi-normal mode (in)stability, preprint (2020), arXiv:2004.06434

SUPERVISORS

Thierry Daudé (thierry.daude@univ-fcomte.fr), Nabile Boussaid (nabile.boussaid@univ-fcomte.fr)

QUALIFICATIONS

Ph.D. or equivalent degree

CANDIDATE PROFILE

Applicants must have obtained a Ph.D. or equivalent degree before starting the postdoc position. The successful applicant must have strong background in one or several of the following topics: Spectral theory of non-selfadjoint operators, General Relativity, Black Holes, Scattering resonances, Semiclas- sical analysis, Inverse spectral problems. The applicants should moreover possess skills in Numerical analysis. Applications at the crossroads of several of these topics will be most appreciated. She/He will have facilities to travel and she/he will interact with the members of the research project (Nabile Boussaïd, Thierry Daudé, Geneviève Dusson and Jose-Luis Jaramillo).

APPLICATION

Please send the following documents by e-mail to thierry.daude@univ-fcomte.fr :
1) Curriculum Vitae2) Detailed list of publications (may include hyperlinks to DOI of publications).

3) Letter of motivation relatively to the position (Cover Letter) in which applicants describe themselves and their contributions to previous research projects (maximum 2 pages)

4) 2 letters of recommendations (to be sent separately)

If you have questions regarding the application, please contact the supervisors.