Welcome!

I am an assistant professor in the Department of Mathematics at the University of Pennsylvania. I am interested in a variety of problems related to Harmonic Analysis, which is a field of pure mathematics concerned with representing functions in terms of simpler components and using information about this decomposition to infer properties about the original function.

I received my B.S. in Mathematics from the School of Mathematical Sciences at Peking University and Ph.D. from the Department of Mathematics at Brown University under the supervision of Prof. Jill Pipher.

I grew up in Xi’an, a beautiful historic city in the northwest of China, and moved to Beijing with my family during middle school. My name in Chinese characters is 欧雨濛.

*RRGA (Reading and Research Groups in Analysis)*! There will be a two-week workshop held at Penn at the beginning of August 2025, where participants will have the opportunity to study important papers on harmonic analysis, geometric measure theory, and dynamics in depth, and/or work on research problems in these areas. The organization of the reading workshop and the research workshop are separate but you are welcome to apply to both!

*Harmonic analysis online platform*! We recently launched HAPPY (Harmonic analysis people’s presentations on YouTube), which is a YouTube channel dedicated to recent research in harmonic analysis and adjacent fields. Check out the program website to get to know several pilot video series and leave your comments or suggestions. Everyone is welcome to join!

*AIM Research Community on Fourier restriction*! We recently created a Research Community on Fourier restriction conjecture and related problems, sponsored by the American Institute of Mathematics (AIM). I have stepped down from the organization team but the activities and fun continue. Feel free to check out the program website and fill out the application form if you are interested in joining.