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This article is a biography, and should focus more on Prof. Wei's career as a whole, and less on the specifics of the mathematical results that she obtained. For example, I suggest eliminating the sentence "These examples were later expanded upon by Burkard Wilking.", since it's putting the focus on a specific result, rather than on the subject.. Alternatively, this should be moved to the section about her contributions, and a citation should be provided of Wilking's work as it relates to Wei's work.
I think we should create a Career section, and expand upon her positions, as listed in her complete CV: https://web.math.ucsb.edu/~wei/vita.pdf. We can also use the CV to find list other awards and merits. I am lacking references for those at the moment (beyond the CV), it's a work in progress.
The article should also mention her service in editorial boards of prestigious journals, like Proc. of the AMS.
