I am an Assistant Professor in mathematics at North Carolina State University. Before coming to NC State, I was an Assistant Adjunct Professor for the Program in Computing at UCLA Department of Mathematics working with Dr. Andrea Bertozzi.
I completed my Ph.D. in Mathematics at Duke University under the guidance of Dr. Thomas P. Witelski.
My research interests lie in nonlinear partial differential equations, scientific computing, and data-driven mathematical modeling, with a focus on their applications in physics, engineering, and medicine.
My research is supported by NSF Award DMS 2309774 and the Simons Foundation MPS-TSM.
Here is my CV.
I am a co-organizer of the Computational and Applied Mathematics (CAM) Seminar
at NCSU. Here are some recorded seminar talks.
Current Teaching (Spring 2025)
- MA 501 Advanced Mathematics for Engineers and Scientists I
- MA 428 Introduction to Numerical Analysis II
Recent Conferences and Outreach Activities
- October 21 - 25, 2024: Dr. Alexey Miroshnikov and I co-organized a minisymposium “Mathematics of Explainable AI with Applications to Finance and Medicine” at the SIAM Conference on Mathematics of Data Science.
- Summer 2023, 2024: I served as a faculty mentor for the SECU Rural Works! Internship program organized by NCSU Career Development Center.
- Summer 2023: I mentored REU project on “Mathematical modeling of liquid metal dynamics” as part of the 2023 DRUMS REU program.
- June 7 - 10, 2023: I served as a faculty mentor in the Graduate Student Mathematical Modeling Camp (GSMMC).
See more details
Recent Research Highlights
- G. Fu, H. Ji, W. Pazner, W. Li, Mean field control of droplet dynamics with high order finite element computations, Journal of Fluid Mechanics. 2024;999:A76.
- H. Ji, T. P. Witelski, Coarsening of thin films with weak condensation, SIAM Journal on Applied Mathematics 84.2 (2024): 362-386.
- B. Kim, H. Ji, A. L. Bertozzi, A. Sadeghpour, Y. S. Ju, A positivity-preserving numerical method for a thin liquid film on a vertical cylindrical fiber, Journal of Computational Physics, 496, 112560 (2024).
- S. Biswal, H. Ji, K. Elamvazhuthi, A. L. Bertozzi, Optimal Boundary Control of a Model Thin-Film Equation. Physica D: Nonlinear Phenomena, Volume 457, January 2024, 133942