Mailing address:
Math Sciences Building
520 Portola Plaza
Los Angeles, CA 90095
Office: MS 6617C
E-mail: chapouto (at) math.ucla.edu
Hi! I am currently a Hedrick Assistant Adjunct Professor in the maths department at UCLA mentored by Monica Visan and Rowan Killip.
I obtained my PhD from the University of Edinburgh, as part of the MIGSAA CDT, under the supervision of Tadahiro Oh.
I am interested in analysis of dispersive PDEs, using tools from harmonic analysis and probability theory.
Education
- (Sep. 2017 - Jul. 2021) PhD, Maxwell Institute Graduate
School in Analysis and its Applications (MIGSAA), University of
Edinburgh, UK.
(Advisor: Tadahiro Oh)
- (2015-2017) MSc. in Mathematics (Applied Analysis and Computation),
University of Coimbra, Portugal.
(Advisor: Maria Paula Serra de Oliveira)
- (2012-2015) BSc. in Mathematics, University of Coimbra, Portugal.
Papers
- (with N. Kishimoto) Invariance of the Gibbs measures for the periodic generalized KdV equations.
- A refined well-posedness result for the modified KdV equation in the Fourier-Lebesgue spaces (arXiv link), J. Dyn. Diff. Equat. (2021).
- 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
- Two-dimensional statistical hydrodynamics (Course by Tadahiro Oh) - Handwritten notes
- Fourier Restriction Norm Method - MIGSAA Extended Project report (2018)
Talks
- (Upcoming) Hamiltonian Methods and Asymptotic Dynamics, Hamiltonian Methods in Dispersive and Wave Evolution Equations, ICERM, Brown University, Providence, RI, USA (Dec. 2021).
- (Online, upcoming) Research Seminars in Applied and Computational Mathematics, Tulane University, LA, USA (3 Dec. 2021).
- LMS Harmonic Analysis and PDEs Meeting (18 Mar. 2021).
- Analysis and PDE Seminar, UCLA, USA (Jan. 2021).
- Cambridge joint CDT student conference, University of Cambridge, UK (Dec. 2020).
- Oberseminar Analysis, Bielefeld University, Germany (Jun. 2020).
- (Postponed) Conference "Harmonic Analysis, Stochastics and PDEs", ICMS, Edinburgh, UK (Jun. 2020).
- Virtual Maxwell Analysis Seminar, University of Edinburgh, UK (May 2020).
- (Cancelled) First Edinburgh-Vienna Workshop on Advances in PDEs, Vienna, Austria (Apr.-May 2020).
- 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, Germany (Sep. 2019).
- (poster) Workshop "Recent trends in Stochastic Analysis and Partial Differential Equations", University of Chester, UK (Sep. 2019).
Conferences and workshops attended
- Thematic session: Geometric analysis and PDEs, Barcelona Mathematical Days 2020 (Congrés la Societat Catalana de Matemà tiques 2020), Institut d'Estudis Catalans, Barcelona, Spain (Apr. 2020).
- Summer School "New Frontiers in Singular SPDEs and Scaling Limits", Hausdorff Center for Mathematics, Germany (Sep. 2019).
- Workshop "Recent trends in Stochastic Analysis and Partial Differential Equations", University of Chester, UK (Sep. 2019).
- Conference "Dispersive Waves and Related Topics", University of Bergen, Norway (Jun. 2019).
- EMS/LMS sponsored network on hyperbolic equations and related topics, ICMS, UK (May 2019).
- MIGSAA 4th Annual Colloquium, ICMS, Edinburgh, UK (Sep. 2018).
- British Mathematical Colloquium, University of St. Andrews, UK (Jun. 2018).
- MIGSAA mini-course on Regularity structures by A. Chandra (Imperial), University of Edinburgh, UK (Apr.-May 2018).
- EMS/LMS sponsored network on hyperbolic equations and related topics, ICMS, UK (Apr. 2018).
- Joint CDT Conference: Analysis and PDEs, University of Oxford, UK (Apr. 2018).
- MIGSAA 3rd Annual Colloquium, ICMS, Edinburgh, UK (Sep. 2017).
Teaching
- 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 activities
- Member of the Mathematics Outreach Team at the University of Edinburgh (2020-2021).
- 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.