I am currently on a post-doctoral position at the Universität
Stuttgart, Institut für Geometrie und Topologie. Research areas: Spin geometry, Cauchy spinors,
Conformal geometry, Weyl structures, Spectral analysis, Spectral
geometry.
Post-doctoral position at the Universität Stuttgart, Institut
für Geometrie und Topologie.
Education and experience:
2019- 2022:
PhD student at the Laboratoire de Mathématiques d'Orsay, under
the direction of Andrei
Moroianu and Konstantin
Pankrashkin. PhD defended on 11/07/2022.Title of the
PhD:On some problems in spectral analysis, spin
geometry and conformal geometry.[pdf
version of my PhD thesis]
2019-2021:
Master Degree of Ecole Normale Supérieure Paris-Saclay.
2018 - 2019:
Master Degree in Analysis, Modelisation, Simulation at the
Université Paris-Sud.
2017 - 2018:
Ecole Normale Supérieure Paris-Saclay: FE2SUP Master and
preparation to the Agrégation in mathematics. Rank
for the Agrégation: 40th.
2015 - 2017:
Diplôme d'ingénieur of the Ecole Nationale des Ponts et
Chaussées, speciality in mathematics and computer science (IMI
department).
Scientific experience:
Summer 2018:
Visit at Columbia University (New York, USA). Under the
direction of Henry Lam.
Summer 2017
Internship at the INRIA (Palaiseau, France). Research on
high order elements for the finite elements method applied to
fluid mechanics. Internship under the direction of Frederic
Alauzet and Loïc Maréchal.
Teaching:
2021 - 2022:
Fundamental mathematical tools (IUT Orsay, 1st year
students)
Logic and basis for mathematics (IUT Orsay, 1st
year students)
2020 - 2021:
Linear Algebra - Functional Analysis (IUT Orsay, 1st
year students).
2019 - 2020:
Linear Algebra - Functional Analysis (IUT Orsay, 1st
year students).
Graphs and Automatons (IUT Orsay, 1st year
students).
Publications
Published Articles:
Cauchy Spinors on 3-Manifolds (with Sergiu
Moroianu). Journal of Geometric Analysis, 32, 186
(2022). [pdf], [arxiv].
A generalized MIT Bag operator on spin manifolds in the
non-relativistic limit. Journal of Geometry and Physics, 178,
104534 (2022). [pdf], [arxiv].
Strong coupling asymptotics for δ-interactions supported by
curves with peaks (with Konstantin Pankrashkin). Journal
of Mathematical Analysis and Application, 491, 124287
(2020). [pdf], [arxiv].
Preprint:
Torsion-free connections on G-structures. Preprint. [pdf], [arxiv].