Kathryn Mann

Kathryn Mann is a mathematician who has won the Rudin Award, Birman Prize, Duszenko Award, and Sloan Fellowship for her research in geometric topology and geometric group theory. She is an associate professor of mathematics at Cornell University.

Kathryn Mann
EducationUniversity of Toronto (B.MathPhil)
University of Chicago (Ph.D. in Mathematics)
Occupationmathematician
AwardsRudin Award
Birman Prize
Duszenko Award
Sloan Fellowship

Education and career

Mann graduated from the University of Toronto in 2008, with a bachelor's degree in mathematics and philosophy.[1] She completed her Ph.D. in mathematics at the University of Chicago in 2014. Her dissertation, Components of Representation Spaces, was supervised by Benson Farb.[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. She moved to Cornell University as an assistant professor in 2019.[1]

Research

Mann's research involves the symmetries of manifolds.

She has made significant progress on a problem posed by Étienne Ghys: when the symmetries of one manifold act nontrivially on a second manifold, must the first manifold have smaller or equal dimension to the second one?[H][3]

She has also studied the rigidity of groups of symmetries of surfaces.[S][4]

Recognition

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.[8]

Selected publications
H.
Mann, Kathryn (2015), "Homomorphisms between diffeomorphism groups", Ergodic Theory and Dynamical Systems, 35 (1): 192–214, arXiv:1206.1196, doi:10.1017/etds.2013.31, MR 3294298, S2CID 14855914
S.
Mann, Kathryn (2015), "Spaces of surface group representations", Inventiones Mathematicae, 201 (2): 669–710, Bibcode:2015InMat.201..669M, doi:10.1007/s00222-014-0558-4, MR 3370623, S2CID 253745587

References
  1. Curriculum vitae (PDF), retrieved 2019-09-09
  2. Kathryn Mann at the Mathematics Genealogy Project
  3. Matsumoto, Shigenori (2014), "New proofs of theorems of Kathryn Mann", Kodai Mathematical Journal, 37 (2): 427–433, arXiv:1308.5381, doi:10.2996/kmj/1404393896, MR 3229085, S2CID 119154717
  4. Matsumoto, Shigenori (2016), "Basic partitions and combinations of group actions on the circle: a new approach to a theorem of Kathryn Mann", L'Enseignement Mathématique, 62 (1–2): 15–47, arXiv:1412.0397, doi:10.4171/LEM/62-1/2-4, MR 3605808, S2CID 119724208
  5. "Winner of 2016 Mary Ellen Rudin Award announced", News, Topology and Its Applications, retrieved 2019-09-09
  6. "Kathryn Mann Wins Birman Research Prize", Newsletter of the Association for Women in Mathematics, 48 (4): 3, July–August 2018
  7. Kamil Duszenko Award Winners, Wrocław Mathematicians Foundation, retrieved 2019-09-09
  8. Bai, Corrine (February 28, 2019), "Four University professors receive Sloan Foundation fellowship", The Brown Daily Herald
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