[2] Mann was a Morrey Visiting Assistant Professor and National Science Foundation funded postdoctoral researcher at the University of California, Berkeley from 2014 to 2016, postdoctoral researcher at the Mathematical Sciences Research Institute in 2015, a visiting professor at Pierre and Marie Curie University in 2016, and Manning Assistant Professor of Mathematics at Brown University from 2017 to 2019.

[S][4] In 2016, Mann won the Mary Ellen Rudin Award for "her deep and extensive work on homeomorphism groups of manifolds".

[5] The Association for Women in Mathematics gave Mann their 2019 Joan & Joseph Birman Research Prize in Topology and Geometry, for "major breakthroughs in the theory of dynamics of group actions on manifolds".

[6] Also in 2019, the Wrocław Mathematicians Foundation gave Mann the Kamil Duszenko Award.

[7] Mann has also been funded by a National Science Foundation CAREER Award[1] and by a Sloan Research Fellowship.