About

I am an Assistant Professor in the Department of Mathematics at the Courant Institute of Mathematical Sciences, New York University. My research focuses on fast algorithms for computational tasks in physics by applying techniques from modern applied mathematics. These techniques revolve around numerical methods for integral equations and analysis-based fast algorithms.

Previously, I was a Gibbs Assistant Professor in the Department of Applied and Computational Mathematics at Yale University. I completed my PhD in Applied Physics at Yale, where my advisor was Owen Miller. I received a BS in Physics and a BE in Material Science with the highest distinction from the National University of Singapore.

Recent Publications

• Fast evaluation of the azimuthal Fourier modes of the 3D Helmholtz Green's function and their derivatives
  Preprint, 2026 arXiv, Tables
• Constructing globally optimal Wannier functions for isolated composite bands in one dimension: Analysis
  Yale CS Technical Report, 2025 Report Link
• A highly accurate procedure for computing globally optimal Wannier functions in one-dimensional crystalline insulators
  with A. Gopal.
  Advances in Computational Mathematics, 2025
  arXiv, Journal
• Constructing optimal Wannier functions via potential theory: isolated single band for matrix models
  Preprint, 2024 arXiv
• Finding roots of complex analytic functions via generalized colleague matrices
  with V. Rokhlin.
  Advances in Computational Mathematics, 2024
  arXiv, Journal , Code
• Fullwave design of cm-scale cylindrical metasurfaces via fast direct solvers
  with W. Xue, A. Gopal, V. Rokhlin, O. Miller.
  Preprint, 2023 arXiv

A complete list is available on Google Scholar.

Teaching

• MATH-UA 262 – Ordinary Differential Equations (New York University)
  
• MATH 325 – Functional Analysis (Yale University)
  
• MATH 246 – Ordinary Differential Equations (Yale University)
  
• MATH 222 – Linear Algebra (Yale University)
  

Curriculum Vitae

The CV contains a complete list of publications, teaching, talks, and professional activities.

Contact

Email: hz4796@nyu.edu

Code and related materials: GitHub