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 2024)

### Recent Conferences and Outreach Activities

- August 20 - 25, 2023: Pejman Sanaei and I co-organized a minisymposium “On mathematical modeling and simulation of droplets” at ICIAM in Tokyo.
- Summer 2023: I mentored REU project on “Mathematical modeling of liquid metal dynamics” as part of the 2023 DRUMS REU program.
- Summer 2023: I served as a faculty mentor for the SECU Rural Works! Internship program organized by NCSU Career Development Center.
- June 7 - 10, 2023: I served as a faculty mentor in the Graduate Student Mathematical Modeling Camp (GSMMC).

*See more details*

### Recent Research Highlights

- 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). -
**H. Ji**, T. P. Witelski,*Coarsening of thin films with weak condensation*, SIAM Journal on Applied Mathematics 84.2 (2024): 362-386. - 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).