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Andreia Chapouto
CNRS researcher
(chargée de recherche)

CNRS, LMV @ UVSQ

Email: andreia (dot) chapouto (at) uvsq.fr

Address:
Laboratoire de Mathématiques de Versailles (LMV)
Bâtiment Sophie Germain
UVSQ, Université Paris-Saclay, CNRS
45 Avenue des États-Unis,
78035 Versailles Cedex, France

Office: 212




Hello!

I am a CNRS researcher at Laboratoire de Mathématiques de Versailles (LMV), Université de Versailles Saint-Quentin (Versailles, France).

I am interested in analysis of dispersive PDEs, using tools from harmonic analysis, probability theory, and complete integrability.


Employment


Education


Prizes and Awards



Publications

  1. (with T. Oh, G. Zheng) Pathwise well-posedness of the stochastic nonlinear Schrödinger equations with multiplicative noises.
  2. (with J. Li, T. Oh) Fourier restriction norm method adapted to controlled paths.
  3. (with G. Li, T. Oh) Deep-water and shallow-water limits of statistical equilibria for the intermediate long wave equation.
  4. (with G. Li, R. Liu) Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus, to appear in Proc. Roy. Soc. Edinburgh Sect. A.
  5. (with J. Forlano, G. Li, T. Oh, D. Pilod) Intermediate long wave equation in negative Sobolev spaces, to appear in Proc. Amer. Math. Soc. Ser. B, B 11 (2024), 452-468
  6. (with Li, T. Oh, D. Pilod) Deep-water limit of the intermediate long wave equation in L2, to appear in Math. Res. Lett.
  7. (with J. Forlano) Invariant measures for the periodic KdV and mKdV equations using complete integrability.
  8. (with R. Killip, M. Visan) Bounded solutions of KdV: uniqueness and the loss of almost periodicity, Duke Math. J. 173 (2024), no. 7, 1227-1267.
  9. (with N. Kishimoto) Invariance of the Gibbs measures for the periodic generalized KdV equations, (arXiv link), Trans. Amer. Math. Soc. 375 (2022), no. 12, 8483-8528
  10. A refined well-posedness result for the modified KdV equation in the Fourier-Lebesgue spaces (arXiv link), J. Dynam. Differential Equations, 35 (2023), no. 3, 2537-2578.
  11. A remark on the well-posedness of the modified KdV equation in the Fourier-Lebesgue spaces (arXiv link), Discrete Contin. Dyn. Syst. A, 41 (2021), no. 8, 3915-3950.

Notes



Talks

2025
  • (Scheduled) Conference "Nonlinear PDEs in Guimarães", Guimarães, Portugal (21-25 Jul. 2025).
  • (Scheduled) Journées EDP de l’IECL 2025, Metz, France (2-4 Apr. 2025).
  • (Scheduled - mini-course) YMCN Spring School: Recent Advances in SPDEs, Universität Münster, Münster, Germany (24-28 Mar. 2025).
  • (Scheduled) Workshop "Nonlinear Waves and Hamiltonian PDE's", Courmayeur, Italy (16-22 Feb. 2025).
  • (Scheduled) Séminaires d'Equations aux Dérivées Partielles, Laboratoire de Mathématiques de Versailles, Versailles, France (16 Jan. 2025).
2024
  • Workshop "Harmonic and Microlocal Analysis in PDE", MATRIX Mathematical Research Institute, Australia (16-20 Dec. 2024).
  • Séminaire Laurent Schwartz, IHES et l'École polytechnique, Paris, France (1 Oct. 2024).
  • Workshop “Singularity formation for nonlinear PDE”, University of Cambridge, Cambridge, UK (9-12 Sep. 2024).
  • Lisbon Webinar in Analysis in Differential Equations, University of Lisbon, Lisbon, Portugal (10 Jul. 2024).
  • "Analysis Seminar, University of Coimbra, Coimbra, Portugal (5 Jul. 2024).
  • Workshop "Harmonic and Stochastic Analysis of Dispersive PDEs", Universität Bielefeld, Bielefeld, Germany, (3-7 Jun. 2024).
  • Mathematical Finance and Stochastic Analysis Seminar, University of York, York, UK, (6 May 2024).
  • Workshop “Bergen-Lund-Trondheim 2024 workshop on dispersive and water waves equation”, University of Bergen, Bergen, Norway, (27-28 Apr. 2024).
  • Analysis Seminar, Princeton University, Princeton, USA (1 Apr. 2024).
  • Séminaire Analyse Numérique et EDP, Université Paris-Saclay, Orsay, France (14 Mar. 2024).
  • Analysis Seminar, University of Birmingham, Birmingham, UK (26 Feb. 2024).
2023
2022
2021
2020
2019
  • Nonlinear and stochastic partial differential equations, Research Institute for Mathematical Sciences, Kyoto, Japan (Nov. 2019).
  • (poster) Summer School "New Frontiers in Singular SPDEs and Scaling Limits", Hausdorff Center for Mathematics, Bonn, Germany (Sep. 2019).
  • (poster) Workshop "Recent trends in Stochastic Analysis and Partial Differential Equations", University of Chester, Chester, UK (Sep. 2019).


Teaching

  • Spring 2024:
    • (UoE) Instructor for Functional Analysis
    • (UoE) TA for Honours Complex Variables (HCoV, MATH10067)
  • Spring 2023:
    • (UCLA) Instructor for Math 131A (Real Analysis)
  • Winter 2023:
    • (UCLA) Instructor for Math 131A (Real Analysis)
  • Spring 2022:
    • (UCLA) Instructor for 2 sections of Math 131A (Real Analysis)
  • Winter 2022:
    • (UCLA) Instructor for Math 131A (Real Analysis)
  • Fall 2021:
    • (UCLA) Instructor for Math 31A (Differential and Integral Calculus)
  • Spring 2021:
    • (UoE) Workshops for Honours Complex Variables - Skills (HCoV, MATH10067)
    • (UoE) Workshops for Honours Analysis (HAna, MATH10068)
  • Fall 2020:
    • (UoE) Workshops for Introduction to Linear Algebra (ILA, MATH08057)
    • (UoE) MathsBase (online drop-in help centre)
  • Spring 2020:
    • (UoE) Workshops for Honours Complex Variables - Skills (HCoV, MATH10067)
    • (UoE) Workshops for Fundamentals of Pure Mathematics (FPM, MATH08064)
  • Fall 2019:
    • (UoE) Workshops for Accelerated Algebra and Calculus (AAC, MATH08062)
    • (UoE) Workshops for Honours Analysis (HAna, MATH10068)
  • Spring 2019:
    • (UoE) Workshops for Calculus and its Applications (CAP, MATH08508)
    • (UoE) Workshops for Proofs and Problem Solving (PPS, MATH08059)
  • Fall 2018:
    • (UoE) Workshops for Introduction to Linear Algebra (ILA, MATH08057)

Outreach

Member of the Mathematics Outreach Team, the University of Edinburgh
2020 - 2021, 2023 - 2024

Deputy Director of the ORMC (Olga Radko Endowed Math Circle), UCLA
2022 - 2023

ORMC is a free enrichment program with the goal of teaching advanced mathematics to K-12 students in a fun and approachable way. We had around 400 students and 75 instructors. My responsibilities included administrative duties, development of advanced curriculum, and supervising and training our instructors.


Academic and Instructional Supervisor of the ORMC (Olga Radko Endowed Math Circle), UCLA
2021 - 2022

I was responsible for training instructors and developing curriculum for the Math Circle’s groups, with a focus on introducing advanced mathematics to talented K-12 students.