Dr. Louis-Clément Lefèvre

Address:
Universität Duisburg-Essen
Fakultät für Mathematik
45117 Essen

Office: WSC-O-3.49

Email: louisclement.lefevre - at - uni-due.de

http://louisclement.lefevre.perso.math.cnrs.fr/

I defended my Ph.D. thesis on June 25th 2018 at the Institut Fourier in Grenoble under the supervision of Philippe EYSSIDIEUX.

Research interests

My main interests are complex geometry and Hodge theory with interactions to formal deformation theory and homotopy theory.

Ph.D. thesis

Title: Théorie de Hodge mixte et variétés des représentations des groupes fondamentaux des variétés algébriques complexes (Mixed Hodge theory and representation varieties of fundamental groups of complex algebraic varieties).

Manuscript, tel-01908625, theses.fr/2018GREAM029.

Publications and prepublications

Mixed Hodge structures and representations of fundamental groups of algebraic varieties. Advances in Mathematics, 349 (2019), 869–910. DOI:10.1016/j.aim.2019.04.028, arXiv:1806.02688, hal-01809625.
A criterion for quadraticity of a representation of the fundamental group of an algebraic variety. Manuscripta Mathematica, 152 (2017), no. 3-4, 381–397. DOI:10.1007/s00229-016-0866-7, arXiv:1509.02871, hal-01196355.

Teaching

2019–2020:
- Seminar, Polynomials, Geometry, Algorithms, Bachelor and Master Lehramt (teaching). Language: German. Prof: Jochen HEINLOTH.
2018–2019:
- Tutorial, Geometric Invariant Theory, Master. Language: English. Prof: Daniel GREB.
- Seminar on stacks (Summer Semester).
- Seminar on stacks (Winter Semester).