CV

Summer Intern

International Computer Science Institute

Developed efficient algorithms for computing 2-parameter absolute persistence homology and apply to graph classification tasks

• C++, Python, Pybind11, CMake, Graph Classification

Summer Intern

NSF-Mathematical Sciences Graduate Internship

Developed faster topological optimization heuristics in Pytorch

• C++, Python, Pybind11, Pytorch

PhD

University of California, Davis

Applied Mathematics

M.S.

University of Chicago

Computational and Applied Mathematics

B.S.

University of Liverpool

Applied Mathematics

Accelerating iterated persistent homology computations with warm starts

Yuan Luo and Bradley J. Nelson

Developed algorithms to accelerate persistent homology computations based on updating associated matrix factorizations

Topology-Preserving Dimensionality Reduction via Interleaving Optimization

Bradley J. Nelson and Yuan Luo

Developed a topological type-I/II error to identify the correspondence between original and projected datasets