This year's recipients of the Fields Medal are Peter Scholze with the University of Bonn in Germany, Caucher Birkar of the University of Cambridge in the U.K., Akshay Venkatesh of Princeton and Stanford universities, and Alessio Figalli with the Swiss Federal Institute of Technology in Zurich.
Scholze was honored for his work with fractal structures called perfectoid spaces.
Birkar, who specializes in algebraic geometry, or links between numbers and shapes, focuses on "minimal models," where the solutions to equations can be substituted by a simpler set that embodies the key qualities but are more comprehensible.
Venkatesh, whose work covers a broad range of math disciplines, was described as “truly a universal mathematician” by University of Wisconsin mathematician Jordan Ellenberg.
Figalli concentrates on "optimal transport," a problem which he says has applications in economics and meteorology.
From The New York Times
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