[1] Dai received her PhD in applied mathematics from the University of California, Santa Cruz in 2012.
[2] She is currently an associate professor for the Department of Mathematics, Statistics, and Computer Science at the University of Illinois Chicago.
Dai became an American Mathematical Society (AMS) Centennial Fellow in 2022.
[4] In 2021 Dai also became an Institute for Advanced Study (IAS) von Neuman Fellow in 2021.
[6] In 2018 Dai was awarded a National Science Foundation (NSF) grant for Mathematical Studies of Magnetohydrodynamic Flows with Hall Effect,[7] and another grant from the NSF for Mathematical Analysis of Magnetohydrodynamic Flows with Hall Effect in 2020.