Hengrong Du's website

I am currently a Visiting Assistant Professor at the Department of Mathematics at University of California, Irvine. During Sep. 2021 to June 2024, I was a Postdoc at the Department of Mathematics at Vanderbilt University, under the mentorship of Prof. Gieri Simonett. My Ph.D. journey took place at the Department of Mathematics at Purdue University, under the guidance of Prof. Changyou Wang.

My research interests center on the analysis of partial differential equations (PDEs) with a particular focus on their applications in artificial intelligence, including the design and optimization of machine learning algorithms through PDE analysis. I also explore related areas such as the hydrodynamics of complex fluids, calculus of variations, geometric flows, and stochastic analysis.