Research

Mathematics

  • Unbounded Topology of Nodal Sets of Harmonic Functions, arXiv version, 7 pages
  • Sharp Gaussian Isoperimetry along a Ricci Flow, arXiv version, 25 pages
  • Nested nodal loops of biharmonic functions, (with Javier Gómez-Serrano and Alexander Logunov), arXiv version, 4 pages
  • Nested nodal loops for sums of Laplace eigenfunctions, arXiv version, 9 pages
  • Equidistribution of Eigenfunctions of Quantum Cat Maps, arXiv version, 16 pages
  • On a Problem of M. Kac on Laplace Distributions, arXiv version, 12 pages
  • Structure Theory of Parabolic Nodal and Singular Sets, (with Max Hallgren and Zilu Ma), arXiv version, 116 pages, slides
  • Bounds on Eigenfunctions of Quantum Cat Maps, (with Elena Kim), Physica Scripta, 98(2023), 115123, arXiv version, 16 pages