Benjamin Lledos

Post-Doctoral researcher

UC Louvain


Presentation

Welcome to my webpage. My research areas are the calculus of variations, elliptic PDEs and geometric measure theory. I am interested in the uniqueness, regularity, and qualitative properties of solutions to minimization problems in the calculus of variations or elliptic PDEs.

I work in the Institut de recherche en mathématique et physique (IRMP) of the UC Louvain as a Postdoctoral researcher under the supervision of Heiner Olbermann.

My Ph.D. was defended in July 2023 and supervised by Pierre Bousquet at the Institut de Mathématiques de Toulouse.

This webpage gathers information and documents about my research and teaching activities as well as my educational background.

Research

Current research:

  • Gamma convergence of currents, Lavrentiev phenomenon, Regularity of the solutions of degenerate elliptic PDEs.
  • Interacting phase fields yielding phase separation on surfaces, with Roberta Marziani & Heiner Olbermann.
  • Absence of Lavrentiev's phenomenon for multidimensional non-autonomous functionals, with Michał Borowski, Pierre Bousquet, Iwona Chlebicka & Błażej Miasojedow.

    • Pre-print:

  • A uniqueness result for two-dimensional variational problem, Accepted in the Annales de l'institut Fourier (2023).
  • Regularity of the stress field for degenerate and/or singular elliptic problems, Submitted (2023).

    • Publications:

    Ph.D. thesis:

    Conferences and Seminars

    • Gdr CalVa seminar , Paris-Saclay (LMO), 4th March 2024.
    • Analysis and PDEs seminar, UC Louvain (IRMP), 17th October 2023.
    • Analysis and PDEs seminar, University of Warsaw , 25th May 2023.
    • Analysis and PDEs seminar, Université Toulouse 3 (IMT) , 19th September 2022.
    • Workshop in calculus of variations, Université de Loraine, Nancy, 10th December 2021.

    Teaching

    • 2022-2023 : Université Paul Sabatier.
      • 8h of pratictal works (Python), linear algebra, first year of BSc.
      • 30h of tutorials, mathematics, first year of BSc.
      • 28h of tutorials, Sets and logic, first year of BSc.
    • 2021-2022 : Université Paul Sabatier.
      • 66h of tutorials, mathematics, first year of BSc.
    • 2020-2021 : Université Paul Sabatier.
      • 60h of tutorials,mathematics, first year of BSc.

    Resume

  • You can download a detailed CV here.

    Education :

    • 2020-2023 : Ph.D. in mathematics, Institut de mathématiques de Toulouse.
    • 2014-2020 : Université de Toulouse III - Paul Sabatier.
      • MSc in mathematics, with high honours (2020).
      • Preparation year for the agrégation externe de mathématiques (2019).
      • First year of a MSc in mathematics (2018).
      • BSc in mathematics (2014-2017).

    Awards and scholarships :

    • 2019 : Agrégation externe de mathématiques.

    Internships :

    • 2020 (March to June) : Four months MSc internship at the Institut de mathématiques de Toulouse, France, with Prof. Pierre Bousquet. Introduction to the calculus of variations.
    • 2018 : Internship at the Institut de mathématiques de Toulouse, France, with Prof. Jean-Pierre Otal. On the Beltrami equation.
    • 2017 : Internship at Institut de mathématiques de Toulouse, France, with Prof. Grégory Faye. Study of ODEs.

    • Contact me

    benjamin.lledos@uclouvain.be