Research

My research is broadly concerned with topics here. I am especially interested in …

Current directions (example)

Numerical linear algebra

I study algorithms for low-rank approximation, matrix compression, randomized linear algebra, and structured matrix computations. Typical questions include how to discover numerical rank adaptively, how to control approximation error, and how to design algorithms around matrix-vector products rather than explicit matrix entries.

Scientific computing

I am interested in computational methods arising from partial differential equations, inverse problems, and optimization. These applications motivate algorithms that are both mathematically principled and practical at scale.

Randomized algorithms

Random sampling and sketching can provide efficient surrogates for expensive deterministic computations. I am particularly interested in adaptive randomized methods that use accuracy information to determine how much sampling is actually needed.

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