Search results
Results from the WOW.Com Content Network
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.
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.
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 .
The Mathematics Genealogy Project (MGP) is a web-based database for the academic genealogy of mathematicians. [ 2 ] [ 3 ] [ 4 ] As of 1 December 2023, [update] it contained information on 300,152 mathematical scientists who contributed to research-level mathematics.
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]
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.
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 ...
For the 2013–2014 year, Maynard was a CRM-ISM postdoctoral researcher at the University of Montreal. [7]In November 2013, Maynard gave a different proof of Yitang Zhang's theorem [8] that there are bounded gaps between primes, and resolved a longstanding conjecture by showing that for any there are infinitely many intervals of bounded length containing prime numbers. [9]