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I am currently a post-doc at the Universität Stuttgart, Institut für Geometrie und Topologie.
Research areas: Spin geometry, Cauchy spinors, Conformal geometry, Weyl structures, Spectral analysis, Spectral geometry.

Publications

Published Articles:

• Locally conformally product structures. To be published in International Journal of Mathematics.[pdf], [arxiv].
• Torsion-free connections on G-structures. Differential Geometry and its applications, 91, 102075 (2023). [pdf], [arxiv].
• 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].



Preprints:

• The characteristic group of conformally product structures.[pdf], [arxiv].
• Weyl structures with special holonomy on compact conformal manifolds (with Florin Belgun and Andrei Moroianu).[pdf],[arxiv]

Curriculum Vitae

A PDF version of my CV is available here.

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Academic positions:

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2022-:

Post-doctoral position at the Universität Stuttgart, Institut für Geometrie und Topologie.

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Education and experience:

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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).

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Scientific experience:

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• 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.

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Teaching:

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• 2022 - 2023:
  • Topology (Universotät Stuttgart, 2nd year students)
  • HM3: mathematics for engineers (Universotät Stuttgart, 2st year students)
• 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).

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