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, Gamma-convergence for phase fields and homogenization, shape optimization.
Since September 2024, I have been a maître de conférences (associate professor) at the Nîmes Université, working in the Laboratoire mathématiques, informatique, physique et applications (MIPA).
Previously, I was a postdoctoral researcher at the Institut de recherche en mathématique et physique (IRMP), UC Louvain, under the supervision of Heiner Olbermann.
I defended my Ph.D. in July 2023, supervised by Pierre Bousquet at the Institut de Mathématiques de Toulouse.
I am the organizer of the MIPA seminar.
This website gathers information and documents about my research, teaching activities and academic background.
Research
Current research
- Uniqueness for the solutions of minimization problems with linear growth (in preparation).
- C1 Regularity for Lipschitz solutions of degenerate elliptic PDEs (in preparation).
- Gamma-convergence of currents for phase fields (in preparation).
- Homogenization of multiparameter integrals (in preparation).
- Cheeger constant for quadrilaterals (in preparation).
Preprints
- Uniqueness of continuous solutions to a minimization problem in BV (2026).
- Homogenization of multiparameter integrals in the space of functions of bounded variation, with Jean-Philippe Mandallena (2026).
Publications and accepted papers
- Discarding Lavrentiev's Gap in Non-automonous and Non-Convex Variational Problems, with Michał Borowski, Pierre Bousquet, Iwona Chlebicka & Błażej Miasojedow, accepted in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (2026).
- Study of minimizers of problems with linear growth under bounded slope condition, accepted in Advances in Calculus of Variations (2026).
- Continuity and Uniqueness for BV minimisers, with Pierre Bousquet, Annali della'universita di Ferrara (2025).
- Interacting phase fields yielding phase separation on surfaces, with Roberta Marziani & Heiner Olbermann, SIAM Journal on Mathematical Analysis (2025).
- A uniqueness result for a two-dimensional variational problem, Annales de l'Institut Fourier (2025).
- Regularity of the stress field for degenerate and/or singular elliptic problems, Annales Mathématiques Blaise Pascal (2024).
- A uniqueness result for a non-strictly convex problem in the calculus of variations, ESAIM: COCV (2023).
- A uniqueness result for a translation invariant problem in the calculus of variations, Journal of Convex Analysis (2024).
Ph.D. thesis
Seminars and conferences
- 2026Shape optimization, PDE, and Nonlinear Analysis, IMATH , Toulon, France, 7-9 October 2026.
- 2026Calculus of Variations in Materials Science, Institute of Mathematics of the Polish Academy of Sciences, Będlewo, Poland, 7–12 June 2026.
- 2025Oberseminar Angewandte Analysis, TU Dortmund (Angewandte Analysis), 25 June 2025.
- 2025Journées annuelles de la fédération OcciMath, Nîmes Université (MIPA), 23 May 2025.
- 2025AMAC seminar, Université Grenoble Alpes (LJK), 15 May 2025.
- 2025Analysis and PDEs seminar, Université Toulouse 3 (IMT), 17 February 2025.
- 2024GT Top, Marseille (FRUMAM), 12 December 2024.
- 2024Conference in Calculus of Variations in Lille, Lille, 24–28 June 2024.
- 2024Gdr CalVa seminar, Paris-Saclay (LMO), 4 March 2024.
- 2023Analysis and PDEs seminar, UC Louvain (IRMP), 17 October 2023.
- 2023Analysis and PDEs seminar, University of Warsaw, 25 May 2023.
- 2022Analysis and PDEs seminar, Université Toulouse 3 (IMT), 19 September 2022.
- 2021Workshop in calculus of variations, Université de Lorraine, Nancy, 10 December 2021.
Organization of events
- 2026Journées nîmoises d'optimisation de forme, MIPA, Nîmes, France, 15–16 June 2026.
- Since 2024Mathematical seminar, MIPA, Nîmes, France.
Teaching
2026–2027 · Nîmes Université
- Linear algebra lectures and tutorials, first year of BSc.
- Differential calculus tutorials, second year of BSc.
- Mathematics for teaching, third of BSc.
- PDEs and numerical analysis lectures and tutorials, first year of Ms.
2025–2026 · Nîmes Université
- Linear algebra lectures and tutorials, first year of BSc.
- Complementary courses in mathematics, second year of BSc.
- Differential calculus, second year of BSc.
- Supervisor of G. Cortes, internship in third year of BSc.
2024–2025 · Nîmes Université
- Linear algebra lectures and tutorials, first year of BSc.
- Complementary courses in mathematics, second year of BSc.
2022–2023 · Université Paul Sabatier
- 8 hours of practical work (Python), linear algebra, first year of BSc.
- 30 hours of tutorials, mathematics, first year of BSc.
- 28 hours of tutorials, sets and logic, first year of BSc.
2021–2022 · Université Paul Sabatier
- 66 hours of tutorials, mathematics, first year of BSc.
2020–2021 · Université Paul Sabatier
- 60 hours of tutorials, mathematics, first year of BSc.
Curriculum Vitae
For a detailed version of my CV, download the PDF below.
↓ Download my CV (PDF)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 an MSc in mathematics (2018).
- BSc in mathematics (2014–2017).
Awards and scholarships
- 2019: Agrégation externe de mathématiques.
Internships
- 2020 (March–June): Four-month 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 the Institut de Mathématiques de Toulouse, France, with Prof. Grégory Faye. Study of ODEs.
Contact
Professional email
benjamin.lledos@unimes.fr