Hi, I am Yiran Hu, a sixth-year Ph.D. candidate at the University of Texas at Austin. My research is rooted in Theoretical and Numerical Analysis of Partial Differential Equations. Specifically, I have developed an interest in the 3D Quasi-geostrophic system and the Surface Quasi-Geostrophic Equation. I work under the mentorship of Professor Alexis Vasseur. For a comprehensive overview of my academic journey, please see my curriculum vitae. Before I came here, I graduated from Nanjing University.

Research Interests

I investigate the intricate discipline of Partial Differential Equations, both in theory and numerical analysis. Currently, my primary research is concentrated on the 3D Quasi-Geostrophic System and Surface Quasi-Geostrophic Equation, with problems with strong physical emphases. Additionally, I’m interested in elliptic theories, particularly those involving spectrum analysis. Presently, I explore a singular or degenerated family of the 3D Quasi-Geostrophic System and the Surface Quasi-Geostrophic Equation. For details of my contributions to academic conferences and publications, please see my curriculum vitae.

In addition to my scholarly pursuits, I’m an enthusiastic learner of programming. My dedication to academic rigor and the pursuit of knowledge extends to my practical experience, as I completed a meaningful internship at World Quant LLC during the summer of 2023. I engaged in financial research projects that encompassed auto-encoder, time series analysis, optimization methodologies, data analysis and C++ programming. Please see my resume here.