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1. Artur Avila, Nationality and , [Artur Avila is awarded a Fields Medal] 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.
2. Manjul Bhargava, Nationality ,
[Manjul Bhargava is awarded a Fields Medal]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.
3. Martin Hairer, Citizenship
[Martin Hairer is awarded a Fields Medal]
for his outstanding
contributions to the theory of stochastic partial differential
equations, and in particular created a theory of regularity structures
for such equations.
4. Maryam Mirzakhani, Nationality
[Maryam Mirzakhani is awarded
the Fields Medal]
for her outstanding
contributions to the dynamics and geometry of Riemann surfaces and their
moduli spaces. Mirzakhani became the first woman as well as the first Iranian to be awarded the .
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