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Andreia Chapouto
Postdoctoral Research Associate

School of Mathematics, The University of Edinburgh

Email: a (dot) chapouto (at) ed.ac.uk

Address:
School of Mathematics, University of Edinburgh
James Clerk Maxwell Building
The King's Buildings
Peter Guthrie Tait Road Edinburgh
EH9 3FD, United Kingdom

Office: 5620




Hello!

I am currently a Postdoctoral Research Associate in the School of Mathematics at the University of Edinburgh.

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


Employment

  • Postdoctoral Research Associate at the University of Edinburgh (2023 - 2026)
  • Hedrick Assistant Adjunct Professor at UCLA (2021 - 2023)

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 G. Li, T. Oh, G. Zheng) Deep-water and shallow-water limits of statistical equilibria for the intermediate long wave equation.
  3. (with G. Li, R. Liu) Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus.
  4. (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.
  5. (with Li, T. Oh, D. Pilod) Deep-water limit of the intermediate long wave equation in L2.
  6. (with J. Forlano) Invariant measures for the periodic KdV and mKdV equations using complete integrability.
  7. (with R. Killip, M. Visan) Bounded solutions of KdV: uniqueness and the loss of almost periodicity, to appear in Duke Math. J..
  8. (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
  9. A refined well-posedness result for the modified KdV equation in the Fourier-Lebesgue spaces (arXiv link), J. Dyn. Diff. Equat. (2023).
  10. 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

2024
  • (Scheduled) 6th Workshop on Nonlinear Dispersive Equations (in memory of Rafael José Iório Junior), Institute of Mathematics and Statistics, São Paulo, Brazil (4-8 Nov. 2024).
  • (Scheduled) Workshop "Harmonic and Stochastic Analysis of Dispersive PDEs", Universität Bielefeld, Bielefeld, Germany, (3-7 Jun. 2024).
  • (Scheduled) Analysis Seminar, Princeton University, Princeton, USA (1 Apr. 2024).
  • (Scheduled) Séminaire Analyse Numérique et EDP, Université Paris-Saclay, Orsay, France (14 Mar. 2024).
  • (Scheduled) 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).

Conferences and workshops attended



Teaching

  • 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

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.


Member of the Mathematics Outreach Team, the University of Edinburgh
2020 - 2021, 2023 - Present
  • Virtual Maths Circle - Workshop aimed at children aged 7-14 and their families where they enjoyed learning mathematics with a range of fun problems and other hands-on mathematical activities (Nov. 2020, Jan. 2021).
  • Teacher Development Workshops - Workshop aimed at giving teachers and educators an introduction to running a Maths Circle (Dec. 2020, Feb. 2021).
  • Scottish Mathematical Challenge - Marker for the competition designed for the most talented school students in Scotland.
  • Scottish Mathematics Masterclass 2021 - Helper for the event. Extra-curricular classes led by academics.
  • Edinburgh International Science Festival - Helped designing and selecting activities for the 2021 edition.