Caucher Birkar of the University of Cambridge proved the boundedness of Fano varieties and contributed to the minimal model program.
Alessio Figalli of ETH Zurich contributed to the theory of optimal transport, which has applications in partial differential equations, metric geometry and probability.
Peter Scholze of the University of Bonn receives the award for transforming arithmetic algebraic geometry over p-adic fields through his introduction of perfectoid spaces and for the development of new cohomology theories.
Akshay Venkatesh of Stanford University and the Institute for Advanced Study synthesized analytic number theory, homogeneous dynamics, topology and representation theory.
Despite police raids, threats of arrest and a shortage of resources, mathematician Ali Nesin has built an oasis for math education in rural Turkey. For his efforts, he wins the 2018 Leelavati Prize
The 2018 Chern medal is awarded to Masaki Kashiwara for his outstanding and foundational contributions to algebraic analysis and representation theory sustained over a period of almost 50 years.
David Donoho of Stanford University is award the 2018 Gauss Prize for his fundamental contributions to the mathematical, statistical and computational analysis of signal processing
Constantinos Daskalakis of M.I.T. transformed the understanding of computational complexity in markets, auctions and other economic structures. His work provides algorithms and defines limits on what can be performed efficiently in these domains.