Born in 1987 in Dresden, Germany, Peter Scholze defended his doctoral thesis on "Perfectoid Spaces" in 2012 at the University of Bonn, under the supervision of Professor Rapoport. Since July 2011, he has been Clay Research Fellow at the Clay Mathematics Institute, and since October 2012, Professor at the University of Bonn.
Much of Peter Scholze's research focuses on p-adic geometry, where p denotes a prime number. P-adic geometry is analogous to usual geometry, but the notion of distance is different, as it is related to divisibility by p. As a result, p-adic geometry is strongly linked to number-theoretic phenomena. Nevertheless, many theorems in usual geometry have equivalents in p-adic geometry. The proofs of these theorems, however, are very different, and require new ideas. Peter Scholze's theory of "Perfectoid Spaces" is a tool for proving difficult theorems in p-adic geometry. The point is that perfectoid spaces can link p-adic geometry, which is very arithmetical by the nature of p-adic numbers, to a much more geometric theory.
Peter Scholze is winner of the Peccot lecture and prize for 2012-2013, and Fields Medal winner in 2018.
Professor at the University of Bonn (Germany), he has been invited by the Assembly of Professors to give a series of lessons on "A p-adic Analogue of Riemann's Classification of Complex Abelian Varieties", on Mondays March 4, 11 and 18 and Friday March 22, 2013.