Papers

• (with R. Killip, M. Visan) Bounded solutions of KdV: uniqueness and the loss of almost periodicity.
• (with N. Kishimoto) Invariance of the Gibbs measures for the periodic generalized KdV equations, to appear in Trans. Amer. Math. Soc.
• 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) 2023 Spring AMS Central Sectional Meeting , Special Session "Advances in Dispersive Partial Differential Equations", University of Cincinnati, Cincinnati, OH, US (Apr. 2023).
• Workshop "Probabilistic Aspects of Nonlinear Dispersive Equations", School of Mathematics, University of Birmingham, Birmingham, UK (7 Jul. 2022).
• Conference "Harmonic Analysis, Stochastics and PDEs" in Honor of the 80th Birthday of Nicolai Krylov, ICMS, Edinburgh, UK (20-24 Jun. 2022).
• Hamiltonian Methods and Asymptotic Dynamics, Hamiltonian Methods in Dispersive and Wave Evolution Equations, ICERM, Brown University, Providence, RI, USA (Dec. 2021).
• (Online) 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

• Nonlinear Waves and Dispersive Equations, Oberwolfach, Germany (26 Jun.-2 Jul. 2022).
• Workshop on Nonlinear Dispersive Equations, Peking University, China (Aug. 2022)
• Thematic session: Geometric analysis and PDEs, Barcelona Mathematical Days 2020 (Congrés la Societat Catalana de Matemàtiques 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

• 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)

ORMC, UCLA.

• Deputy Director of the ORMC (Olga Radko Endowed Math Circle), UCLA (2022-Present).
• Academic and Instructional Supervisor of the ORMC (Olga Radko Endowed Math Circle), UCLA (2021-2022).

Mathematics Outreach Team, University of Edinburgh.

• 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.