Membro da Sociedade Americana de Matemática (For contributions to algebraic topology, in particular equivariant stable homotopy theory., 2020, 2021)
Fellow of the Association for Women in Mathematics (For being a consistent and vocal ally for women and nonbinary researchers; for his commitment to inclusion as part of the founding board of Spectra (the association for LGBT mathematicians); for being a founding editor of La Matematica and for his ongoing service to the AWM Mentor Network, and for working to make mathematics a welcoming and joyful place for all of us., 2023, 2024)
Com Douglas Ravenel e Michael Jerome Hopkins resolveu o problema do invariante 1 de Kervaire em 2009.[2] O problema questiona sobre as possíveis dimensões das variedades com o invariante 1 de Kervaire (de acordo com Michel Kervaire) e era um problema aberto há muito tempo de topologia algébrica. Lidou com a teoria da homotopia e formas modulares em topologia.