Publications
Talks and posters
CV
Teaching

 

I am a Postdoc in the Biomathematics group at the University of Vienna working with Emmanuel Schertzer.

Before that, I was a PhD student at Inrae in Avignon and at Aix-Marseille Université, with Raphaël Forien, François Hamel and Lionel Roques. I worked on deterministic models based on the Fisher-KPP equation.

I defended my thesis on 11th June 2025. My dissertation can be found here.

I am a member of the ANR project ReaCH and of the Chaire MMB (Modélisation Mathématique et Biodiversité).

My research interests are:

• Reaction-diffusion equations
• Principal eigenvalue of elliptic operators
• Probabilistic point of view of PDEs
• Population dynamics
• Population genetics

 

Preprints

• “Time-resolved bottlenecks reveal concurrent pathogen entry and growth during bacterial infection dynamics” (2025), 
  S. Vicente, N.B., R. Forien, I. Mila, L. Roques and N. Peeters,
  bioRxiv,

 

Publications

• “Periodic KPP equations: new insights into persistence, spreading, and the role of advection”, 
  N.B., F. Hamel and L. Roques,
  Journal of Differential Equations 463, 114174, 2026
  Article, arXiv, HAL
• “Impact of diffusion mechanisms on persistence and spreading”, 
  N.B., Y.-J. Kim and L. Roques,
  Journal of Mathematical Biology 91, 63, 2025
  Article, arXiv
• “Qualitative properties of the spreading speed of a population structured in space and in phenotype”, 
  N.B.,
  Journal de Mathématiques Pures et Appliquées 204, 2025
  Article, arXiv, HAL
• “The principal eigenvalue problem for a strongly anisotropic second-order elliptic operator”, 
  N.B.,
  SIAM Journal on Mathematical Analysis 57.4, 2025
  Article, arXiv, HAL
• “Reaction-diffusion model for a population structured in phenotype and space. I: Criterion for persistence”,
  N.B. and L. Rossi,
  Nonlinearity 38, 2025
  Article, arXiv, HAL
• “Polymorphic population expansion velocity in a heterogeneous environment”,
  L. Roques, N.B., P. Zamberletti, J. Papaïx,
  Journal of Theoretical Biology 595, 2024
  Article, HAL
• “Large deviations and the emergence of a logarithmic delay in a nonlocal linearised Fisher-KPP equation”,
  N.B.,
  Nonlinear Analysis 240, 2024
  Article, arXiv, HAL

 

Talks and posters

Seminars

• 2026: Besançon (01/2026)
• 2025: Rome (03/2025), Vienna (BioMath group, 10/2025), IST Austria (Barton group, 10/2025), Le Havre (11/2025)
• 2024: Marseille (PhD Students, 01/2024), Avignon (INRAE, 02/2024), Marseille (working group Math-bio Sud-Est, 04/2024), Clermont-Ferrand (12/2024)

Invited talks

• 11/2025: ReaDiNet2025 : A ReaDiNet workshop on deterministic and stochastic PDEs, Obernai
• 06/2025: SMAI – 12th French Biennial of Applied and Industrial Mathematics (Mini-symposium), Carcans-Maubuisson
• 05/2024: Propagation and Stability in Evolution Equations, Banff / UBCO, Okanagan (online)
• 06/2023: Summer school of the Chaire MMB (Modélisation Mathématique et Biodiversité), Aussois

Contributed talks

• 04/2025: Meeting of the ANR project ReaCH, Paris
• 10/2024: CJC-MA – Congrès des Jeunes Chercheur.e.s en Mathématiques Appliquées, Lyon
• 02/2024: Launching meeting of the ANR project ReaCH, Paris
• 06/2023: Workshop Probability Meets Biology II, Bath

Posters

• 11/2024: Rencontres Normandes sur les aspects théoriques et numériques des EDP, Rouen
• 09/2024: Nonlocal Branching Processes, CIRM, Marseille
• 07/2024: MMEE 2024, Universität Wien, Vienna
• 05/2024: Stochastic Processes in Evolutionary Biology, CIRM, Marseille
• 12/2023: EverEvol – Population dynamics: from rare events to evolution, Grenoble
• 11/2023: GDR Branchement, Toulouse
• 01/2023: ReaDiNet 2023: International conference on parabolic and stochastic models in mathematical biology, Orsay

 

Short Vitae

• 2025 – … : Postdoc,
  University of Vienna
• 2022 – 2025 : PhD Student,
  I2M Aix-Marseille Université and BioSP, Inrae
• 2021 – 2022 : visiting student
  University of Rome – La Sapienza, with Luca Rossi
  University of Oxford, with Alison Etheridge
• 2020 – 2021: M.Sc. Master Mathematics for Life Science
  Université Paris-Saclay & École Polytechnique
  Mention très bien
• 2018 – 2022: Student at the École Normale Supérieure de Lyon

 

Teaching

2024-2025:

• (40h) Mathematics, Année de mise à niveau scientifique. Extra-year to catch up on university level, Aix-Marseille Université.
• (24h) Methodology. 1st year (mathematics-physics oriented) Aix-Marseille Université.

2023-2024:

• (30h) Mathematics. 1st year (physics-chemistry oriented), Aix-Marseille Université.
• (36h) Topology. 2nd year, Aix-Marseille Université.

2022-2023:

• Mathematics. 1st year (biology oriented), Aix-Marseille Université.
• Mathematics. 1st year (physics-chemistry oriented), Aix-Marseille Université.
• (36h) Topology. 2nd year, Aix-Marseille Université.