About me
Hello! I'm a junior at Princeton studying mathematics, with a particular interest in analysis. Previously, I worked with the Princeton Astrophysical Data Laboratory and NASA-JPL's Europa team to apply machine learning and numerical analysis to some pretty exciting problems.
What I've Done
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Abstract Mathematics
Theory coursework spanning machine learning, optimization, and probability.
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Computational Physics
Modern numerical techniques to advance fundamental research.
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Quantitative Finance
Tournaments Officer at Princeton Quantitative Traders.
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Global Affairs
Politics, economics, and society for the Princeton Debate Panel.
Where I've Been
What I've Learned
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Functional Analysis
MAT 520 — Fall 2025
The theory of linear operators on infinite-dimensional vector spaces. Topics included convexity, duality, Banach algebras, Hilbert spaces, holomorphic functional calculus, C-star algebras, and the spectral theorem for bounded and unbounded operators.
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Optimization Theory
ORF 522 — Fall 2024
Provable guarantees in modern optimization — ADMM, proximal operators, acceleration schemes, branch-and-bound, robust optimization, and data-driven optimization.
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Machine Learning Theory
ECE 435 — Fall 2024
A dense mathematical treatment of learning theory. Clustering metrics, dimensionality reduction, adaptive optimizers, neural network architectures, approximation theory, generalization theory, and reinforcement learning. Implemented in Tensorflow.
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Theory of Algorithms
COS 423 — Spring 2024
Rigorous analysis of algorithms with emphasis on Tarjan's work. Proved amortized bounds on modifications of classical and modern data structures. Paper topics included hollow heaps, zip trees, and rank-balanced trees.
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Algorithmic Game Theory
COS 445 — Spring 2025
Systematic approach to game-theoretic problems. Generalized matching, voting, auctions, scoring rules, anarchy, behavioral game theory, and time-inconsistent planning.
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Operating Systems
COS 417 — Spring 2025
The essentials of OS — processes, threads, synchronization primitives, lock-based concurrency, event-based concurrency, virtual memory, file systems, and distributed systems. Implemented in xv6 (ANSI C and RISC-V assembly).
