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DOCTORAL STUDENTS

Co-supervised with Jan Nagel (IMB Dijon).

Research project: Quadratic motivic invariants of algebraic varieties and vector bundles.

Co-supervised with Paul Arne Østvær (University of Milan).

Research project: $\mathbb{A}^1$-contractibility of Low-Dimensional Smooth Affine Schemes.

Co-supervised with Frédéric Déglise (ENS Lyon).

Dissertation Motivic knot theory. Defended on September 15th 2023 at IMB Dijon.

Recent Publications:

Co-supervised with Ronan Terpereau (IMB Dijon).

Dissertation Algebraic torus actions over characteristic zero fields. Defended on January 17th 2023 at IMB Dijon. Recent Publications:

  • Torus actions on affine varieties over characteristic zero fields, arXiv:2208.01495.
  • Real Torus Actions on Real Affine Algebraic Varieties, Math.Z. vol. 301, 1507–1536 (2022), arXiv:2105.09663.

Co-supervised with Daniele Faenzi (IMB Dijon).

Dissertation: Geometry of the projectivization of ideals and applications to problems of birationality. Defended on October 24th 2018 at IMB Dijon.

Publications:

Co-supervised with Lucy Moser-Jauslin (IMB Dijon).

Dissertation: On locally nilpotent derivations of integral domains.Defended on December 14th 2015 at IMB Dijon.

Publications:
  • LND-Filtrations and Semi-Rigid Domains, arXiv:1501.00445, a slightly expanded version of the earlier preprint The Filtration Induced by a Locally Nilpotent Derivation.
  • Methods to compute ring invariants and applications: a new class of exotic threefolds, arXiv:1506.08522.

Co-supervised with Lucy Moser-Jauslin (IMB Dijon).

Dissertation: Actions hyperboliques du groupe multiplicatif sur des variétés affines : espaces exotiques et structures locales. Defended on March 30th 2015 at IMB Dijon.

Publications:
  • Uniformly rational varieties with torus action , with A. Liendo, Transformation Groups vol. 24 (1) (2019), 149-153, arXiv:1701.05817.
  • Smooth contractible threefolds with hyperbolic $\mathbb{G}_m$-actions via polyhedral-divisors, Manuscripta Math. vol. 156 (3-4) (2018), 399-408, arXiv:1702.03739.
  • Smooth varieties with torus actions, with A. Liendo, Journal of Algebra vol. 490 (2017), 204-218, arXiv:1606.06628.
  • Equivariantly Uniformly Rational Varieties, Michigan Math. J. vol. 66 (2) (2017), 245-268, arXiv:1505.03108.

POST-DOCS and TRAINEES

Funded by Mitacs Globalink Research Award for research from Canada.

Research project: Rigidity of Pham-Brieskorn Threefolds.

Funded by Conicyt Fondecyt PhD Internship.

Research project: Topologically integrable derivations and additive group actions on affine ind-schemes.

Funded by JSPS Internship.

Research project: Compactifications of affine homology 3-cells into del Pezzo fibrations.

Funded by BQR Post-doctoral grant from University of Burgundy.

Research project: Exotic affine spaces and their transformation groups.