[1] She is Dwight Parker Robinson Professor of Mathematics at Harvard University.

[1] She was the valedictorian of Palos Verdes Peninsula High School in 1996,[2] and while there participated in summer research at the Massachusetts Institute of Technology with Satomi Okazaki, a student of her eventual advisor, Richard P.

in mathematics,[2] and received her PhD in 2005 at the Massachusetts Institute of Technology under the supervision of Stanley.

[4] Along with colleagues O. Mandelshtam (her former student, now an assistant professor at University of Waterloo) and S. Corteel, in 2018 Williams developed a new characterization of both symmetric and nonsymmetric Macdonald polynomials using the combinatorial exclusion process.

[6] She is the 2016 winner of the Association for Women in Mathematics and Microsoft Research Prize in Algebra and Number Theory.