Chargé de Recherches - Université de Bourgogne - CNRS

Doctoral Students
• Rémi Bignalet-Cazalet (2015-2018), Co-supervised with Daniele Faenzi (Dijon).
Dissertation: Géométrie de la projectivisation des idéaux et applications aux problèmes de birationalité .
Defended on October 24th 2018 at the University of Burgundy.
Publications:
• Charlie Petitjean (2012-15), Co-supervised with Lucy Moser-Jauslin (Dijon).
Dissertation: Actions hyperboliques du groupe multiplicatif sur des variétés affines : espaces exotiques et structures locales.
Defended on March 30th 2015 at the University of Burgundy.
Recent Publications:
• Smooth contractible threefolds with hyperbolic $\mathbb{G}_m$-actions via polyhedral-divisors, Manuscripta Math. (to appear), arXiv:1702.03739.
• Uniformly rational varieties with torus action , with A. Liendo, Transformation Groups (to appear), arXiv:1701.05817.
• Equivariantly Uniformly Rational Varieties, Michigan Math. J. Volume 66, Issue 2 (2017), 245-268, arXiv:1505.03108.
• Smooth varieties with torus actions, with A. Liendo, Journal of Algebra Volume 490 (2017), 204-218, arXiv:1606.06628.
• Bachar Alhajjar (2012-15), Co-supervised with Lucy Moser-Jauslin (Dijon).
Dissertation: On locally nilpotent derivations of integral domains.
Defended on December 14th 2015 at the University of Burgundy.
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