I am a math Ph.D. student at University of California, Berkeley. My advisor is Sung-Jin Oh. I advanced to Ph.D. candidacy in November 2021.
I am interested in long-time dynamics of wave equations with geometric backgrounds, especially those come from general relativity, and also constructions of relativistic initial data.
Yuchen Mao and Zhongkai Tao, Localized initial data for Einstein equations, arXiv preprint arXiv:2210.09437 (2022)
Yuchen Mao, Sung-Jin Oh, and Zhongkai Tao, Initial data gluing in the asymptotically flat regime via solution operators with prescribed support properties, arXiv preprint arXiv:2308.13031 (2023).
Philip Isett, Yuchen Mao, Sung-Jin Oh, and Zhongkai Tao, Integral formulas for under/overdetermined differential operators via recovery on curves and the finite-dimensional cokernel condition i: General theory, arXiv preprint arXiv:2509.04617 (2025).
Yuchen Mao, Late-time tails of the Einstein vacuum equation near Minkowski spacetime in wave gauges, in preparation (2025).
Philip Isett, Yuchen Mao, Sung-Jin Oh, and Zhongkai Tao, Integral formulas for under/overdetermined differential operators via recovery on curves II: Sharp solvability, in preparation.
Yuchen Mao, Sung-Jin Oh, and Zhongkai Tao, Flexibility of general relativistic initial data sets via recovery on curves, in preparation
I am not teaching this semester (Fall 2025).
Spring 2025: Graduate Student Instructor for Math 53
Fall 2024: Graduate Student Instructor for Math 53
Fall 2023: Graduate Student Instructor for Math 53
Spring 2023: Graduate Student Instructor for Math 1B
Fall 2022: Graduate Student Instructor for Math 54
Spring 2022: Graduate Student Instructor for Math 54
Fall 2021: Graduate Student Instructor for Math 53
Spring 2021: Graduate Student Instructor for Math 53 (online)
Fall 2020: Graduate Student Instructor for Math 1B (online)
1020 Evans Hall
UC Berkeley
Berkeley, CA 94720
United States
Email: yuchen_mao AT berkeley DOT edu