Benoit Nieto

Lecturer and researcher in Applied Mathematics - ESILV, Paris, France

Portrait of Benoit Nieto

Biography

Since October 1, 2025, I have been a Lecturer-Researcher in Applied Mathematics with a focus on Finance at ESILV – De Vinci Research Center (DVRC), Paris, France.

My main research topics are centered around stochastic analysis and statistics of diffusion processes:

  • Stochastic Analysis — Hitting times density, local time, SDEs with singular coefficients, strong existence and uniqueness.
  • Statistics of diffusion process — Likelihood, Quasi-Likelihood, CLT, Mixing, Test.
  • Analysis — Spectral decomposition, Parabolic cylinder function.

Curriculum Vitae

  CV - français

Education

  • 2025-Present — Lecturer and Researcher | Finance and Applied Mathematics.

    DVRC / ESILV

  • 2024-2025 — Postdoctoral researcher | Applied Mathematics, Decentralized Finance and Blockchain: Modeling and Analysis in the Context of Uniswap V2, under the supervision of Emmanuel Gobet.

    CMAP / École Polytechnique

  • 2021-2024 — PhD | Applied Mathematics, Ornstein-Uhlenbeck processes with constant piecewise coefficients, under the supervision of Christophette Blanchet-Scalliet and Diana Dorobantu.

    Institut Camille Jordan / École Centrale Lyon

  • 2020-2021 — Master 2 | Maths en action, option: Mathematics for Biology and Medicine.

    Université Claude Bernard Lyon 1

  • 2019-2020 — Master 1 | Applied mathematics and statistics.

    Université Claude Bernard Lyon 1

  • 2016-2019 — Bachelor's degree | General Mathematics and Applications.

    Université Claude Bernard Lyon 1

Academic projects

  • 2021 — Master thesis: Estimation of the drift and volatility of an oscillating Ornstein-Uhlenbeck process.

    Supervised by Christophette Blanchet-Scalliet, Diana Dorobantu.

  • 2020-2021 — Second year Master Project: Sensitivity analysis for optimization with variable selection.

    Supervised by Christophette Blanchet-Scalliet, Céline Helbert.

  • 2019-2020 — First year Master Project: Morphogenesis and regeneration of organisms — creation of patterns with Turing theory and the use of a hysteresis loop.

    Supervised by Thomas Lepoutre.

Teaching

  • 2025–Present Advanced Probability (M1).

    ESILV – Pôle Léonard de Vinci

  • 2025–Present Stochastic Calculus (M1).

    ESILV – Pôle Léonard de Vinci

  • 2025–Present Simulation Methods (M1).

    ESILV – Pôle Léonard de Vinci

  • 2025–Present Machine Learning and Asset Management (M1).

    ESILV – Pôle Léonard de Vinci

  • 2025–Present Extreme Value Theory, Dependence Modeling and Game Theory (M1).

    ESILV – Pôle Léonard de Vinci

  • 2025–Present Statistics (L3).

    ESILV – Pôle Léonard de Vinci

  • 2025–Present Numerical Probability (L3).

    ESILV – Pôle Léonard de Vinci

  • 2025–Present Supervision of 4 Actuarial Master's Theses.

    ISUP – Sorbonne University

  • 2024–2025 Introduction to Stochastic Calculus (M2).

    ENSTA

  • 2022–2024 Tutorials in Advanced Mathematics (M1).

    École Centrale de Lyon

  • 2021–2024 Tutorials in Numerical Analysis (L3).

    École Centrale de Lyon

  • 2021–2024 Tutorials in Applied Analysis (L3).

    École Centrale de Lyon

  • 2018–2019 Bachelor Tutoring (L1–L2).

    Université Claude Bernard Lyon 1

Talks and Contributions

  • 2025 — Séminaire Probabilités et Statistiques, In Nancy. Slides

  • 2024 — Séminaire Probabilités-Statistiques-Contrôle, In Palaiseau. Slides

  • 2024 — Séminaire de Probabilités, In Evry. Slides

  • 2024 — Stochastic Analysis Seminar, In Jena, Germany. Slides

  • 2024 — Séminaire de Statistique et Optimisation, In Toulouse. Slides

  • 2023 — Colloque Jeunes Probabilistes et Statisticiens, In Ile-d'Oléron. Slides

  • 2023 — INFORMS Applied Probability Society conference, In Nancy. Slides

  • 2023 — Les journées de probabilités, In Anger. Slides

  • 2022 — Seminar Team Inria PASTA, In Nancy. Slides

  • 2022 — Seminars Lyon-Lausanne ISFA, In Lyon. Slides

  • 2022 — Workshop on Singular diffusions: theoretical and numerical aspects, In Nancy. Slides

Research Funding

2026 – SMAI BOUM Project (700€)

With Maxime Estavoyer

Project: Exploring Waddington's Landscape through Stochastic Modeling and scRNA-seq

Interdisciplinary project on mathematical modeling of cellular dynamics using single-cell transcriptomics data, combining stochastic analysis, dynamical systems, and developmental biology.

Publications and Preprints

[5] S. Mazzonetto, B. Nieto, Existence and uniqueness for singular stochastic differential equations with piecewise well-behaved coefficients, Submitted, 2026.

Link PDF

[4] C. Blanchet-Scalliet, D. Dorobantu, B. Nieto, On the distribution of the first exit time from an interval of a threshold Ornstein-Uhlenbeck process, Submitted, 2025.

Link PDF

[3] S. Mazzonetto, B. Nieto, Parameters estimation of a Threshold CKLS process from continuous and discrete observations, in "Scandinavian Journal of Statistics", 2024.

Link PDF

[2] C. Blanchet-Scalliet, D. Dorobantu, B. Nieto, A pseudo-likelihood estimator of the Ornstein-Uhlenbeck parameters from suprema observations, in "Statistical Inference for Stochastic Processes", 2023.

Link PDF

[1] C. Blanchet-Scalliet, D. Dorobantu, B. Nieto, Some properties for ν-zeros of Parabolic Cylinder functions, in "Le Matematiche", 2023.

Link PDF

PhD thesis

Multi-Mean Reverting Processes: Analytical and Statistical Approaches. PDF Slides

Jury: Stefan Ankirchner, Christophette Blanchet-Scalliet (supervisor), Diana Dorobantu (supervisor), Ahmed Kebaier (reviewer), Adeline Leclerc Samson, Antoine Lejay (reviewer), Paolo Pigato, Anthony Réveillac (president).

Contact

Location:

ESILV – Pôle Léonard de Vinci
12 Avenue Léonard de Vinci
92916 Paris La Défense, France