About
I am an Assistant Professor in the Department of Mathematics at the New York Institute of Technology.
Previously, I was a Hale Visiting Assistant Professor at the Georgia Institute of Technology. My mentors were Yingjie Liu and Luca Dieci.
I received my PhD in Applied Mathematics from Columbia University under the supervision of Qiang Du.
Research Interests
Numerical/applied analysis, scientific computing, nonlocal models, partial differential equations, mathematics of machine learning, optimal transport
Publications / Preprints
A modified static PDE-based approach for multidimensional extrapolation
H. Lee
Preprint (2026) | [arXiv]
A level-set based finite difference method for the ground state Bose-Einstein condensates in smooth bounded domains
H. Lee, Y. Liu
Preprint (2025) | [arXiv]
A PNP ion channel deep learning solver with local neural network and finite element input data
H. Lee, Z. Chao, H. Cobb, Y. Liu, D. Xie
Machine Learning: Science and Technology 5 045001 (2024) | [doi][arXiv]
A ghost-point based second order accurate finite difference method on uniform orthogonal grids for electromagnetic scattering around curved perfect electric conductors with corners
H. Lee, Y. Liu
Journal of Computational Physics 490 112314 (2023) | [doi]
Solving Maxwell’s Equation in 2D with Neural Networks with Local Converging Inputs
H. Cobb, H. Lee, Y. Liu
Preprint (2023) | [arXiv]
Second-order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems
H. Lee, Q. Du
Communications in Mathematical Sciences 20 (7) 1815-1837 (2022) | [doi][arXiv]
Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications
H. Lee, Q. Du
ESAIM: Mathematical Modelling and Numerical Analysis 54 (1) 105-128 (2020) | [doi]
Asymptotically compatible SPH-like particle discretizations of one dimensional linear advection models
H. Lee, Q. Du
SIAM Journal on Numerical Analysis 57 (1) 127-147 (2019) | [doi]
Teaching
New York Tech
- Fall 2026: Calculus II (MATH 180)
- Spring 2026: Calculus III (MATH 260)
- Fall 2025: Calculus I (MATH 170), Linear Algebra (MATH 310)
- Spring 2025: Calculus II (MATH 180)
- Fall 2024: Calculus III (MATH 260), Differential Equations (MATH 320)
Georgia Tech
- Fall 2021 – Spring 2024 (every semester): Calculus II (MATH 1552)
Columbia University (Teaching Assistant)
- Fall 2019 – Spring 2020: Multivariable Calculus for Engineers (APMA E2000)