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August 12, 2014


There are four winners for Fields Medal in 2014. They are:


Artur Avila
CNRS, France & IMPA, Brazil 
for his profound contributions to dynamical systems theory have changed the face of the field, using the powerful idea of renormalization as a unifying principle.

     - Renormalization [Encyclopedia of Mathematics]



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Manjul Bhargava
Princeton University, USA 
for developing powerful new methods in the geometry of numbers and applied them to count rings of small rank and to bound the average rank of elliptic curves.

     - Geometry of numbers [Encyclopedia of Mathematics]



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Martin Hairer
University of Warwick, UK 
for his outstanding contributions to the theory of stochastic partial differential equations, and in particular created a theory of regularity structures for such equations.


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Maryam Mirzakhani
Stanford University, USA
for her outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces.

     - Riemann surfaces [Encyclopedia of Mathematics]





Check ICM2014 for more descriptions about their researches. 

image source: www.icm2014.org

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