2014 Fields Medal (3)
Reason for Award
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.
Laureates
Manjul Bhargava,
Canada
Other works in the same year
- for her outstanding contributions to the dynamics and geometry ofRiemann surfacesand theirmoduli spaces.
- for his profound contributions todynamical systemstheory have changed the face of the field, using the powerful idea of renormalization as a unifying principle.
- 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.