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.

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

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) "Analysis Seminar, University of Coimbra, Coimbra, Portugal, (5 Jul. 2024).
• (Scheduled) Workshop "Harmonic and Stochastic Analysis of Dispersive PDEs", Universität Bielefeld, Bielefeld, Germany, (3-7 Jun. 2024).
• (Scheduled) Mathematical Finance and Stochastic Analysis Seminar, University of York, York, UK, (6 May 2024).
• (Scheduled) 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

• (Scheduled) 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).

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• Nonlinear Waves and Dispersive Equations, Mathematisches Forschungsinstitut Oberwolfach, Germany (26 Jun.-2 Jul. 2022).
• (Online) Workshop on Nonlinear Dispersive Equations, Peking University, Beijing, China (Aug. 2022)
• (Online) 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, Bonn, Germany (Sep. 2019).
• Workshop "Recent trends in Stochastic Analysis and Partial Differential Equations", University of Chester, Chester, UK (Sep. 2019).
• Conference "Dispersive Waves and Related Topics", University of Bergen, Bergen, Norway (Jun. 2019).
• EMS/LMS sponsored network on hyperbolic equations and related topics, ICMS, Edinburgh, UK (May 2019).
• MIGSAA 4th Annual Colloquium, ICMS, Edinburgh, UK (Sep. 2018).
• British Mathematical Colloquium, University of St. Andrews, St. Andrews, UK (Jun. 2018).
• MIGSAA mini-course on Regularity structures by A. Chandra (Imperial), University of Edinburgh, Edinburgh, UK (Apr.-May 2018).
• EMS/LMS sponsored network on hyperbolic equations and related topics, ICMS, Edinburgh, UK (Apr. 2018).
• Joint CDT Conference: Analysis and PDEs, University of Oxford, Oxford, UK (Apr. 2018).
• MIGSAA 3rd Annual Colloquium, ICMS, Edinburgh, UK (Sep. 2017).

• 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)

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.

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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.