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Peter Scholze (German pronunciation: [ˈpeːtɐ ˈʃɔltsə] ⓘ; born 11 December 1987 [2]) is a German mathematician known for his work in arithmetic geometry. He has been a professor at the University of Bonn since 2012 and director at the Max Planck Institute for Mathematics since 2018.
Dustin Clausen is an American-Canadian [1] mathematician known for his contributions to algebraic K-theory and the development of condensed mathematics, in collaboration with Peter Scholze. His research interests include the intersections of number theory and homotopy theory .
Condensed mathematics is a theory developed by Dustin Clausen and Peter Scholze which replaces a topological space by a certain sheaf of sets, in order to solve some technical problems of doing homological algebra on topological groups.
A simpler proof was suggested almost at the same time by Guy Henniart, [12] and ten years later by Peter Scholze. Taylor, together with Christophe Breuil , Brian Conrad and Fred Diamond , completed the proof of the Taniyama–Shimura conjecture , by performing quite heavy technical computations in the case of additive reduction.
Perfectoid spaces may be used to (and were invented in order to) compare mixed characteristic situations with purely finite characteristic ones. Technical tools for making this precise are the tilting equivalence and the almost purity theorem. The notions were introduced in 2012 by Peter Scholze. [1]
The following IMO participants have either received a Fields Medal, an Abel Prize, a Wolf Prize or a Clay Research Award, awards which recognise groundbreaking research in mathematics; a European Mathematical Society Prize, an award which recognizes young researchers; or one of the American Mathematical Society's awards (a Blumenthal Award in ...
These works were (in part) the subject of a Séminaire Bourbaki exposé in 2018 by Matthew Morrow [4] and an Arbeitsgemeinschaft meeting at Oberwolfach in 2016. [5] His work with Peter Scholze on the stack of vector bundles on the Fargues–Fontaine curve is expected to have implications for the construction of a local Langlands correspondence ...
Venkatesh then held a Clay Research Fellowship from the Clay Mathematics Institute from 2004 to 2006, [2] and was an associate professor at the Courant Institute of Mathematical Sciences at New York University. [17] [18] He was a member of the School of Mathematics at the Institute for Advanced Study (IAS) from 2005 to 2006.