Amie Wilkinson

Amie Wilkinson (born 1968) is an American mathematician working in ergodic theory and smooth dynamical systems. She is a professor at the University of Chicago.

Biography

She received a bachelor of arts degree from Harvard University in 1989 and a PhD from the University of California, Berkeley in 1995 under the direction of Charles C. Pugh.[1] She is currently a professor of mathematics at the University of Chicago. She is married to Benson Farb, who is also a professor in the same department.[2]

Work

Wilkinson's work focuses on the geometric and statistical properties of diffeomorphisms and flows with a particular emphasis on stable ergodicity and partial hyperbolicity. In a series of papers with Christian Bonatti and Sylvain Crovisier, Wilkinson studied centralizers of diffeomorphisms[3][4] settling the C1 case of the twelfth problem on Stephen Smale's list of mathematical problems for the 21st Century.[5]

Awards

Wilkinson was the recipient of the 2011 Satter Prize in Mathematics,[1] in part for her work with Keith Burns on stable ergodicity of partially hyperbolic systems.[6]

She gave an invited talk, "Dynamical Systems and Ordinary Differential Equations", in the International Congress of Mathematicians 2010 in Hyderabad, India.[7]

In 2013 she became a fellow of the American Mathematical Society, for "contributions to dynamical systems".[8] In 2019 she was elected to the Academia Europaea.[9]

References
  1. "2011 Satter Prize" (pdf). Notices of the AMS. Vol. 58 no. 4. AMS. April 2011. pp. 601–602. Retrieved 2016-03-21.
  2. "Amie Wilkinson, Benson S. Farb".
  3. Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie (2008). "C1-generic conservative diffeomorphisms have trivial centralizers". Journal of Modern Dynamics. 2: 359–373. doi:10.3934/jmd.2008.2.359.
  4. Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie (2009). "The C1-generic diffeomorphism has trivial centralizer". Publications Mathématiques de l'IHÉS. 109: 185–244. arXiv:0804.1416. doi:10.1007/s10240-009-0021-z.
  5. Smale, Steve (1998). "Mathematical Problems for the Next Century". Mathematical Intelligencer. 20 (2): 7–15. CiteSeerX 10.1.1.35.4101. doi:10.1007/bf03025291.
  6. Burns, Keith; Wilkinson, Amie (2010). "On the ergodicity of partially hyperbolic systems". Annals of Mathematics. 171 (1): 451–489. doi:10.4007/annals.2010.171.451.
  7. "ICM Plenary and Invited Speakers since 1897". International Congress of Mathematicians.
  8. "2014 Class of the Fellows of the AMS" (pdf). Notices of the AMS. Vol. 61 no. 4. AMS. April 2014. pp. 420–421. Retrieved 2016-03-21.
  9. "Amie Wilkinson", Elected members 2019, Academia Europaea, retrieved 2019-09-05

Further reading
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