Research

Publications and Preprints

  • Spectral equivalence of nearby Lagrangians (draft available upon request)
    (joint with Johan Asplund and Yash Deshmukh)

  • Fundamental groups of rationally connected symplectic manifolds (submitted)
    [arXiv]

  • Sections and unirulings of families over P1
    Geometric and Functional Analysis, 2024.
    [arXiv, Journal Version]

  • On the topology of moduli spaces of real algebraic curves (submitted)
    [arXiv]

  • Supervised Learning of Labeled Pointcloud Differences via Cover-Tree Entropy Reduction (submitted)
    (joint work with Abraham Smith, Paul Bendich, John Harer, and Jay Hineman)
    [arXiv]

  • Persistent homology analysis of brain artery trees
    (joint work with Paul Bendich, J.S. Marron, Ezra Miller, and Sean Skwerer)
    Annals of Applied Statistics, 2016.
    [arXiv, Journal Version]