CV

Education

University of California, Santa BarbaraSeptember 2026 –

Johns Hopkins University, Baltimore, MDAugust 2022 – May 2026

Reconstructing Trajectories for Interacting Particle Systems from Unlabeled DataAdvisor: Fei Lu

Senior thesis (defended Spring 2026): recover particle trajectories when observations are unlabeled empirical measures at discrete times.
Connected IPS / SDE dynamics to Wasserstein geometry and optimal transport; learned interaction potentials via a trajectory-free self-test objective from energy increments, dissipation, and diffusion functionals.
Reconstructed labels across snapshots with prediction-informed assignment costs, Hungarian matching, and Sinkhorn (entropic OT); compared alternating match–estimate loops against oracle baselines.

Bounds on Hausdorff Measure of Cartesian Products of Cantor SetsAdvisor: Taylor Jones

Preprint: arXiv:2510.09701; revised after review and preparing resubmission to Involve.
Studied Hausdorff measure and dimension for null sets with symmetric / self-similar structure; investigated bounds for (C^d) where (C) is the middle-thirds Cantor set, deriving tighter upper and lower bounds for low (d).
Combined measure-theoretic estimates on basic sets with computer-assisted calculations to refine bounds.
Poster and talk: Mid-Atlantic Research Exchange (MATRX) 2026.

Adaptive Kernel Learning in Interacting Particle SystemsAdvisor: Xiong Wang

Modeled Lennard-Jones-type simulations via IPS governed by SDEs with unknown radial interaction kernels.
Projected kernels onto orthogonal bases; estimated coefficients by least squares, then adaptively pruned and refined to emphasize influential terms.
Applied IPS-inspired modeling to sentiment dynamics learned by trained RNNs.
Poster: Southern Regional Council on Statistics (SRCOS) 2025.

Improving Precision of QR Factorization: A Fractional ImplementationAdvisor: Mario Micheli

Analyzed numerical instability of classical Gram–Schmidt under floating-point roundoff and catastrophic cancellation.
Proposed a Q-based fractional model to reduce roundoff; explored design alternatives and precision trade-offs.
Showed that fractional QR can attain arbitrarily high numerical precision in target applications.
Poster and talk: Mid-Atlantic Research Exchange (MATRX) 2025.

Johns Hopkins University, Baltimore, MDJanuary 2023 – May 2026

Teaching Assistant, AS.110.302 Differential Equations SP26
Head PILOT Leader, AS.110.302 Differential Equations SU24 · FA24 · SP25 · SU25 · FA25 · SP26
Teaching Assistant, AS.250.205 Introduction to Computing SP23 · FA23 · SP24 · FA24 · SP25 · FA25 · SP26
Course Assistant, AS.110.109 Calculus II FA25
PILOT Leader, AS.110.302 Differential Equations FA23 · SP24

Johns Hopkins Math Tournament (JHMT)September 2024 – April 2025

Proposed and reviewed contest problems for regional high school and middle school students.
Helped organize the in-person contest and gave an enrichment talk on competition day.

International Students at Hopkins (ISAH)October 2022 – May 2024

Organized community events (movie nights, tea parties, care packages, formals) to build an inclusive international community.
Volunteered at Baltimore Lunar Night (ticket stand and help desk).

Maryland Science OlympiadOctober 2022 – April 2024

Wrote event questions in physics and engineering for middle school competitors; proctored and scored at state tournaments.
Supervised Sound of Music B (2023), Bridges C (2024), and Optics B&C (2024).

Programming: Python, MATLAB, Java, C, C++, JavaScript/TypeScript, assembly, bash
Tools: LaTeX, Git, Microsoft Office
Languages: English (fluent), Mandarin Chinese (fluent), Spanish (elementary)