2018 Fields Medal (1)
Reason for Award
For the proof of the boundedness ofFano varietiesand for contributions to theminimal model program.
Laureates
Caucher Birkar,
United Kingdom of Great Britain and Northern Ireland
Other works in the same year
- For contributions to the theory ofoptimal transportand its applications inpartial differential equations,metric geometryandprobability.
- For transformingarithmetic algebraic geometryoverp-adic fieldsthrough his introduction ofperfectoid spaces, with application toGalois representations, and for the development of newcohomology theories.
- For his synthesis ofanalytic number theory, homogeneous dynamics,topology, andrepresentation theory, which has resolved long-standing problems in areas such as the equidistribution of arithmetic objects.