Seminars and special events

• Webpage of the weekly seminar "Géométrie Algébrique" at the Laboratoire Paul Painlevé (Lille).

• Some past events I (co)organized:

  • A Master Class «Algebraic Geometry and Physics» in Dijon from August 28 to September 01, 2023.

  • The 12th Swiss-French workshop on algebraic geometry in Charmey (near Gruyères, Fribourg, Switzerland) from January 30 to February 03, 2023.

  • A Workshop of Algebraic Geometry (dedicated to algebraic group actions) in Dijon on January 16-17, 2023.

Research papers

• About automorphism groups of Mori fiber spaces and connected algebraic subgroups of the Cremona group

  • Real forms of Mori fiber spaces with many symmetries (joint work with Susanna Zimmermann)
    Preprint.
    

  • Connected algebraic groups acting on three-dimensional Mori fibrations (joint work with Jérémy Blanc and Andrea Fanelli)
    International Mathematics Research Notices, Vol. 00, No. 0, pp. 1-118, 2021.
    DOI: 10.1093/imrn/rnab293.
    (I gave a recorded talk on this research work at the Online Algebraic Geometry Seminar held on the Nottingham University.)

  • Automorphisms of P1-bundles over rational surfaces (joint work with Jérémy Blanc and Andrea Fanelli)
    Épijournal de Géométrie Algébrique, vol. 6 (2022), article no. 23 (47p).
    DOI: 10.46298/epiga.2023.volume6.7603.
    

• About forms and real structures for almost homogeneous varieties
  (I gave a recorded survey talk on this research work at the "Zoom Algebraic Geometry" Seminar.)

  • Real structures on complex algebraic varieties with a reductive group action (survey paper)
    To appear in the Nottingham Online Algebraic Geometry Seminar Proceedings.
    

  • Real structures on nilpotent orbit closures (joint work with Michael Bulois and Lucy Moser-Jauslin)
    Journal of Lie Theory 32:no. 3, 821-838, 2022.
    

  • Forms of almost homogeneous varieties over perfect fields (joint work with Lucy Moser-Jauslin)
    Submitted.
    (Lucy gave a recorded talk on this research work at the "Quadratic forms, Linear algebraic groups and Beyond" Online Seminar.)

  • Real structures on symmetric spaces (joint work with Lucy Moser-Jauslin)
    Proceedings of the AMS, 149(8):3159--3172, 2021.
    DOI: 10.1090/proc/15520.

  • Real structures on horospherical varieties (joint work with Lucy Moser-Jauslin, with an appendix by Mikhail Borovoi)
    Michigan Mathematical Journal (2021), 38p.
    DOI: 10.1307/mmj/20195793.

• About spherical and complexity-one varieties

  • Horospherical stacks (joint work with Ariyan Javanpeykar and Kevin Langlois)
    Münster Journal of Mathematics 12 (2019), 1-29.
    DOI: 10.17879/85169767804

  • The Cox ring of a complexity-one horospherical variety (joint work with Kevin Langlois)
    Archiv der Mathematik (Basel) 108 (2017), no. 1, 17–27.
    DOI: 10.1007/s00013-016-0979-y

  • On the geometry of normal horospherical G-varieties of complexity one (joint work with Kevin Langlois)
    Journal of Lie Theory 26:no. 1, 049-078, 2016.

• About symplectic desingularizations and polar representations

  • Towards a symplectic version of the Chevalley restriction theorem (joint work with Michael Bulois, Christian Lehn , and Manfred Lehn)
    Compositio Mathematica 153 (2017), 647-666.
    DOI: 10.1112/S0010437X16008277

• About invariant Hilbert schemes, moduli spaces of (G,h)-constellations, and invariant deformation theory

  • Stability conditions and related filtrations for (G,h)-constellations (joint work with Alfonso Zamora)
    International Journal of Mathematics 28 (2017), no. 14, 34 p.
    DOI: 10.1142/S0129167X17500987

  • Moduli spaces of (G,h)-constellations (joint work with Tanja Becker)
    Transformation Groups 20:no. 2, 335-366, 2015.
    DOI: 10.1007/s00031-015-9311-3

  • Invariant deformation theory of affine schemes with reductive group action
    (joint work with Christian Lehn , the corresponding MACAULAY2 files are available here)
    Journal of Pure and Applied Algebra 219:no. 9, 4168-4202, 2015.
    DOI: 10.1016/j.jpaa.2015.02.013

  • Invariant Hilbert schemes and desingularizations of symplectic reductions for classical groups
    Mathematische Zeitschrift 277, 339–359, 2014.
    DOI: 10.1007/s00209-013-1259-1

  • Invariant Hilbert schemes and desingularizations of quotients by classical groups
    Transformation Groups 19:no. 1, 247-281, 2014.
    DOI: 10.1007/s00031-014-9253-1

  • Proceedings Invariant Hilbert schemes and resolutions of categorical quotients
    Oberwolfach reports (17/2013), workshop Algebraic Groups.
    DOI: 10.4171/OWR/2013/17

  
  

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  Miscellaneous

  • An overview of the classification of spherical and complexity-one varieties

    Mini-course of 3h given for the workshop "Arc schemes and algebraic group actions" (Paris, 2nd-4th December, 2019).

  • HDR thesis (10/2021) Study of certain families of algebraic varieties endowed with an algebraic group action

  • PhD thesis (11/2012) Schémas de Hilbert invariants et théorie classique des invariants

    
    

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  Teaching / Enseignements (2023-2024)

  • J'étais en charge d'un CM d'algèbre linéaire et bilinéaire (en L3 maths) entre 2019 et 2022.

    Le polycopié de mon cours est disponible ici.
    
    

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  Some useful links

  • arXiv

  • HAL

  • MathSciNet

  • Zentralblatt MATH

  • MathOverflow

  • The Stacks Project

  • Macaulay2

  • LiE

  • Upcoming conferences in algebraic geometry

  • Géométrie Algébrique et Géométrie Complexe (GDR GAGC)

  • Théorie de Lie Algébrique et Géométrique (GDR TLAG)

  • Singularités et Applications (GDR)

  • Detexify

  • Text Compare!

  • CultureMath

  • Images des mathématiques