[1] Wei earned a doctorate in mathematics from the State University of New York at Stony Brook in 1989, under the supervision of Detlef Gromoll.
[2] Her dissertation[3][4] produced fundamental new examples of manifolds with positive Ricci curvature and was published in the Bulletin of the American Mathematical Society.
Starting in 2000 Wei began working with Christina Sormani on limits of manifolds with lower Ricci curvature bounds using techniques of Jeff Cheeger and Tobias Colding, particularly Kenji Fukaya's metric measure convergence.
Dr. Wei has completed research with her student, Will Wylie, on smooth metric measure spaces and the Bakry–Emery Ricci tensor.
In 2013 she became a fellow of the American Mathematical Society, for "contributions to global Riemannian geometry and its relation with Ricci curvature".