I am an Assistant Professor in the Department of Mathematics at North Carolina State University. I am also the Director of Industry and Community-based Research and Education at our Data Science and AI Academy . 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 2025)

• MA 326 Mathematical Foundations of Data Science I
  

Recent Conferences and Outreach Activities

• Summer 2023, 2024, 2025: I served as a faculty mentor for the SECU Rural Works! Internship program organized by NCSU Career Development Center.
  
• Summer 2025: I mentored an REU project on “Mathematical modeling of interfacial fluids” as part of the 2025 DRUMS REU program.
  
• June 4 - 7, 2025: I served as a faculty mentor in the Graduate Student Mathematical Modeling Camp (GSMMC).
  
• 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.
  

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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