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Severine
BIARD

  • Bâtiment Abel de Pujol 2
    Bureau B-05
  • +33 3 27 51 1918
My research is in complex Analysis of one or Several complex variables; in CR geometry and in complex geometry. In particular, I am working on (weighted) L^2 estimates for the dbar operator and its applications to pluripotential theory, CR geometry and theory of foliations.
Personal Webpage: https://sites.google.com/view/severine-biard/home

Fonctions actuelles

    In research group

  • Associate professor

    • In laboratory

  • Associate professor

    • In university

  • September 2021 :

    Teaching manager of the 3rd year undergraduates

  • Since September 2022 :

    In charge of internships for second and third year undergraduates in Maths

  • Since 2020 :

    Member of the Council of the Fédération Mathématique des Hauts-de-France

    • National

  • January 2020 :

    Member of the council of the Federation of Mathematics in Hauts-de-France

    • International

  • September 2019 :

    Reviewer for Mathematical reviews

    • Other

  • https://sites.google.com/view/severine-biard/home

Diplômes universitaires

  • 2013 :
    Ph.D in Mathematics, under the direction of A. Iordan, at UPMC, Paris VI, France.
    Title: L^2 estimates for d-bar operator and nonexistence of Levi-flat hypersurface in Kähler manifolds.

Expériences professionnelles

  • 2010-2013 :
    Ph.D student and teaching assistant at UPMC, Paris VI, France
  • 2013-2014 :
    Teaching assistant at UPMC
  • 2014-2016 :
    Visiting Assistant Professor at Texas A&M University, College Station, Texas U.S.A
  • 2016-2019 :
    Postdoctoral Fellow at the University of Iceland, Reykjavik, Iceland.

Organization of conferences, exhibitions ...

  • October 1st, 2021 :

    conference for Ph.D in Mathematics in Hauts-de-France, taken place in Valenciennes.

  • June 2022 :

    Internship “Faire des Mathématiques Autrement” for high school students, organized with F. Goichot

  • September, 9th, 2022 :

    conference for Ph.D in Mathematics in Hauts-de-France, taken place in Valenciennes.

  • September 11th, 2020 :
    Ph.D students' day in Mathematics in Hauts-de-France, organized in Calais with support of la fédération Mathématique des Hauts-de-France.
  • March, 26-29, 2019 :
    Workshop on holomorphic maps, pluripotentials and complex geometry, Shizuoka, Japan. Organized with M. Adachi.


  • March, 31st 2021 :
    Conference in honor of Andrei Jordan and Junyan Can
  • October, 25-27, 2023 :

    Workshop on “Pluripotential Theory and Holomorphic Foliations”, Valenciennes  (ANR Workshop from the ANR-DFG Project “QuaSiDy”)

  • June, 12--16, 2023 :

    Internship in Maths for high-school students 

  • September, 15th, 2023 :

    Ph.D Students' day from Federation Mathématiques des Hauts-de-France, Compiègne.

Current teaching

  • Remediation 2
    linear algebra, functions of several variables

Educational responsability

  • Teaching manager of the 3rd-year undergraduates in mathematics

Current teaching

  • Remediation 2

Educational responsability

  • In Charge of internships for second and third undergraduate students in Mathematics.

Current teaching

  • Remédiation 2 (1 groupe)

    Analyse 3B (1 groupe de TD)

    Analyse 5 (1 groupe de TD)

    Analyse Appliquée (Analyse de Fourier) (1 groupe)

Current teaching

  • Analyse 4B (CM + TD : 2 groupes)

    Maths 4 (CM)

     

Current teaching

  • in charge of 1 group for exercise session in Topology (Third year undergraduates in Maths)

On L2 estimates for d-bar operator on pseudoconvex domains in complete Kähler manifolds with positive holomorphic bisectional curvature, Comptes Rendus de l’Académie des Sciences Mathématiques, vol. 350, fascicule 11-12, juin 2012. 

 

On L2 estimates for d-bar operator on pseudoconvex domains in complete Kähler manifolds with positive holomorphic bisectional curvature, The Journal of Geometric Analysis, Vol.24, Issue 3 (2014), p. 1583-1612.

 

 With Emil Straube, L2–Sobolev Theory for the complex Green operartor, International Journal of Mathematics, Vol. 28 (2017), no. 9. 

 

With Emil Straube, Estimates for the complex Green opearator: Symmetry, percolation, and interpola- tion. Transactions of AMS, Vol. 371 (2019), no. 3.
 

 Symmetry and Interpolation of the estimates for the complex Green operator, Proceedings of RIMS, Kyoto, Japan.

 

With J.E Fornaess and J. Wu, Weighted-L2 polynomial approximation in C. Transactions of AMS, 373 (2), (2020), 919-938. 

With A. Iordan, Nonexistence of Levi flat hypersurfaces with positive normal bundle in compact Kahler manifolds of dimension ≥3, International Journal of Mathematics, Vol. 31, no.01.DOI: 10.1142/S0129167X20500044

With J.E. Fornaess and J. Wu, Weighted-L^2 version of Mergelyan and Carleman approximation. J. of Geometric Analysis (2020).
 

S. Biard, Symmetry and Interpolation of the estimates for the complex Green operator, Proceedings of RIMS, Kyoto, Japan (2021).

With M. Adachi, On Levi-flat hypersurfaces with transversely affine foliation, Mathematische Zeitschrift, 301 (2022), n°1. 

With M. Adachi and J. Brinkschulte, A Residue Formula for Meromorphic Connections and Applications to Stable Sets of Foliations, J. of Geometric Analysis, 338 (2023).