Fields Medal 2018: Winners

Recipients

1. Caucher Birkar

   Math

   For the proof of the boundedness of Fano varieties and for contributions to the minimal model program.

2. Alessio Figalli

   Math

   For contributions to the theory of optimal transport and its applications in partial differential equations, metric geometry and probability.

3. Peter Scholze

   Math

   For having transformed arithmetic algebraic geometry over p-adic fields.

4. Akshay Venkatesh

   Math

   For his synthesis of analytic number theory, homogeneous dynamics, topology, and representation theory, which has resolved long-standing problems in areas such as the equidistribution of arithmetic objects.