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Amie Wilkinson

From Wikipedia, the free encyclopedia

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.

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Transcription

Contents

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. ^ a b "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. 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

External links


This page was last edited on 5 October 2019, at 14:34
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