1. (with J. Li, T. Oh) Fourier restriction norm method adapted to controlled paths: stochastic wave equations.
2. (with S. Correia, J.P. Ramos) Gauge transform for the Korteweg-de Vries equation and well-posedness below the H^(−1)-scale.
3. (with G. Li, T. Oh, T. Zhao) Shallow-water convergence of the intermediate long wave equation in L^2.
4. (with J. Forlano, T. Laurens) On the well-posedness of the intermediate nonlinear Schrodinger equation on the line.
5. (with G. Li, T. Oh) Deep-water and shallow-water limits of statistical equilibria for the intermediate long wave equation.
6. (with G. Li, R. Liu) Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus (arXiv link), Proc. Roy. Soc. Edinburgh Sect. A. Published online 2024:1-39.
7. (with J. Forlano, G. Li, T. Oh, D. Pilod) Intermediate long wave equation in negative Sobolev spaces (arXiv link), Proc. Amer. Math. Soc. Ser. B, B 11 (2024), 452-468.
8. (with G. Li, T. Oh, D. Pilod) Deep-water limit of the intermediate long wave equation in L² (arXiv link), Math. Res. Lett 31 (2024), no. 6, 1655-1692.
9. (with J. Forlano) A continuum of invariant measures for the periodic KdV and mKdV equations (arXiv link), Trans. Amer. Math. Soc 378 (2025), 7247-7286.
10. (with R. Killip, M. Visan) Bounded solutions of KdV: uniqueness and the loss of almost periodicity (arXiv link), Duke Math. J. 173 (2024), no. 7, 1227-1267.
• (with R. Killip, M. Visan) Disproving the Deift conjecture: the loss of almost periodicity, Séminaire Laurent Schwartz - EDP et applications (2024-2025), Exposé no. 2, 12 p.
11. (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
12. 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.
13. 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.

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• Two-dimensional statistical hydrodynamics (Course by Tadahiro Oh) - Handwritten notes
• Fourier Restriction Norm Method - MIGSAA Extended Project report (2018)

2026

• (Upcoming) Programme "Dispersive integrable equations: Pathfinders in Hamiltonian PDE", Institut Henri-Poincaré, Paris, France (15 Jun.-3 Jul. 2026).
• (Upcoming, online) Workshop “New Trends in Rough Analysis: Open Challenges and Applications", Institute for Advanced Study in Mathematics (IASM-Hangzhou) & BIRS, (21-26 Jun. 2026).
• (Upcoming) Workshop “Geometry, Dynamics, and Analysis", University of Melbourne, Melbourne, Australia (4-6 May 2026).
• (Upcoming) Conference “Nonlinear Waves and Dispersive Equations", Oberwolfach, Germany (1-6 March 2026).
• Conference "Asia-Pacific International Conference on Dispersive Equations (APICDE)", Sydney, Australia (1-7 Feb. 2026).

2025

• Analysis, Stochastics, and Dispersive Equations, Osaka, Japan (Dec. 2025).
• Analysis, Stochastics, and Dispersive Equations, Hiroshima University, Japan (Dec. 2025).
• Seminar, Waseda University, Tokyo, Japan (10 Dec. 2025).
• Seminário sobre Análise Complexa e Hipercomplexa, Universidade de Aveiro, Portugal (19 Nov. 2025).
• 2nd Atlantic Conference in Nonlinear Partial Differential Equations, Lisbon, Portugal (3-7 Nov. 2025).
• Séminaire d'analyse, Laboratoire de Mathématiques et Modélisation d'Évry, Évry, France (25 Sep. 2025).
• Analysis Seminar, University of Melbourne, Melbourne, Australia (21 Aug. 2025).
• Analysis, PDE and Geometry Seminar, Monash University, Melbourne, Australia (18 Aug. 2025).
• Conference "Nonlinear PDEs in Guimarães", Guimarães, Portugal (21-25 Jul. 2025).
• Journées EDP 2025, Aussois, France (2-4 Jun. 2025).
• Nonlinear Dispersive Equations: Advances and Perspectives, CIRM, Marseille, France (28 Apr.-2 May).
• Conference "GEOEDP 2025", University of Pisa, Italy (7-11 Apr.).
• Journées EDP de l’IECL 2025, Metz, France (2-4 Apr. 2025).
• (mini-course) YMCN Spring School: Recent Advances in SPDEs, Universität Münster, Münster, Germany (24-28 Mar. 2025).
• Probability seminar, Warwick University, UK (12 Mar. 2025).
• Workshop "Nonlinear Waves and Hamiltonian PDE's", Courmayeur, Italy (16-22 Feb. 2025).
• 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

• Applied PDEs Seminar, Imperial College London, London, UK (30 Nov. 2023).
• Atlantic Conference in Nonlinear PDEs, Dispersive and Elliptic Equations and Systems, Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal (30 Oct.- 3 Nov. 2023).
• Partial Differential Equations seminar, University of Cambridge, Cambridge, UK (16 Oct. 2023).
• Mathematics Seminar, University of Dundee, Dundee, UK (9 Oct. 2023).
• Analysis Seminar, University of Edinburgh, Edinburgh, UK (18 Sep. 2023).
• Conference "Water Waves and Integrable Systems", Order and Randomness in Partial Differential Equations, Institut Mittag-Leffler, Stockholm, Sweden (11-15 Sep. 2023).
• Workshop "Random dispersive PDEs 2023", University of Birmingham, Birmingham, UK (Jul. 2023).
• 2023 Spring AMS Central Sectional Meeting, Special Session "Advances in Dispersive Partial Differential Equations", University of Cincinnati, Cincinnati, OH, USA (Apr. 2023).
• (Online) AMS Spring Eastern Virtual 2023 Sectional Meeting, Special Session "Recent Advances in Infinite-Dimensional Stochastic Analysis" (Apr. 2023).
• Caltech-UCLA-USC joint Analysis and PDE Seminar, California Institute of Technology, Pasadena, CA, USA, (Mar. 2023).
• (Online) Lisbon Webinar in Analysis in Differential Equations , University of Lisbon, Lisbon, Portugal (Jan. 2023).

2022

• 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).

2021

• (Online) 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, New Orleans, LA, USA (3 Dec. 2021).
• (Online) LMS Harmonic Analysis and PDEs Meeting (18 Mar. 2021).
• (Online) Analysis and PDE Seminar, UCLA, Los Angeles, USA (Jan. 2021).

2020

• (Online) Cambridge joint CDT student conference, University of Cambridge, Cambridge, UK (Dec. 2020).
• (Online) Oberseminar Analysis, Bielefeld University, Bielefeld, Germany (Jun. 2020).
• (Postponed) Conference "Harmonic Analysis, Stochastics and PDEs", ICMS, Edinburgh, UK (Jun. 2020).
• (Online) Virtual Maxwell Analysis Seminar, University of Edinburgh, Edinburgh, UK (May 2020).
• (Cancelled) First Edinburgh-Vienna Workshop on Advances in PDEs, Vienna, Austria (Apr.-May 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).

• 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 at the Université de Versailles Saint-Quentin

2024 - 2025

• Filles, maths et informatique : une équation lumineuse (12 May 2025) - General audience talk "Des équations à la modélisation des vagues" aimed at students of 1re, 2e (aged 15-17).

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Member of the Mathematics Outreach Team, the University of Edinburgh

2020 - 2021, 2023 - 2024

• Scottish Mathematics Masterclass 2024 - Helper for the event. Extra-curricular classes led by academics.
• Virtual and in-person 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, Feb. 2024).
• 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.

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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.

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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.