[2] Zheng was an undergraduate mathematics student at Tsinghua University, graduating in 2008.
[3] She completed a Ph.D. in 2013 at Cornell University, with the dissertation Random Walks On Some Classes Of Solvable Groups advised by Laurent Saloff-Coste.
[3][4] She became a postdoctoral Szegő Assistant Professor at Stanford University from 2013 to 2016 before obtaining a regular-rank faculty position as assistant professor at the University of California, San Diego in 2016.
[1] She was an invited speaker in mathematical analysis at the 2022 (virtual) International Congress of Mathematicians.
[5] In 2024, she was a recipient of the Rollo Davidson Prize, given "for her deep results and resolution of long-standing conjectures on random walks on groups".