2014 Fields Medal (2)
Reason for Award
for his profound contributions todynamical systemstheory have changed the face of the field, using the powerful idea of renormalization as a unifying principle.
Laureates
Artur Avila,
Brazil
Other works in the same year
- for her outstanding contributions to the dynamics and geometry ofRiemann surfacesand theirmoduli spaces.
- for developing powerful new methods in the geometry of numbers, which he applied to count rings of small rank and to bound the average rank ofelliptic curves.
- for his outstanding contributions to the theory of stochastic partial differential equations, and in particular for the creation of a theory of regularity structures for such equations.