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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.
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.
The three brothers' sister Celia M. Witten earned a Ph.D. in mathematics from Stanford University [10] and then an M.D. from the University of Miami. [11] Edward Witten is the son of Lorraine (born Wollach) Witten [ 12 ] and Louis Witten , a theoretical physicist specializing in gravitation and general relativity .
Clark Edward Barwick (born January 9, 1980) is an American mathematician and professor of pure mathematics at the University of Edinburgh. His research is centered around homotopy theory , algebraic K -theory , higher category theory , and related areas.
In mathematics, topology is a branch of geometry concerned with the study of topological spaces. ... Condensed mathematics; Cone (topology) Configuration space ...
In mathematics, the Cauchy condensation test, named after Augustin-Louis Cauchy, is a standard convergence test for infinite series.For a non-increasing sequence of non-negative real numbers, the series = converges if and only if the "condensed" series = converges.
In mathematics, especially in topology, a pyknotic set is a sheaf of sets on the site of compact Hausdorff spaces (with some fixed Grothendieck universes). The notion was introduced by Barwick and Haine to provide a convenient setting for homological algebra. [1] The term pyknotic comes from the Greek πυκνός, meaning dense, compact or ...