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 (Fall 2024)
Recent Conferences and Outreach Activities
- October 21 - 25, 2024: Dr. Alexey Miroshnikov and I are co-organizing 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).
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Recent Research Highlights
- 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
- S. Chattopadhyay, H. Ji, Thermocapillary thin film flows on a slippery substrate with odd viscosity effects, Physica D: Nonlinear Phenomena, Volume 455, December 2023, 133883
- H. Ji, P. Sanaei, Mathematical model for wetting and drying in filter membranes, Physical Review Fluids 8, 064302 (2023).
- D. Ko, H. Ji, Y. S. Ju, Prediction of 3D velocity field of reticulated foams using deep learning for transport analysis, Transport in Porous Media, 148, 577–604 (2023).