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Michael Artin (German: [ˈaʁtiːn]; born 28 June 1934) is an American mathematician and a professor emeritus in the Massachusetts Institute of Technology...

In mathematics, the Artin approximation theorem is a fundamental result of Michael Artin (1969) in deformation theory which implies that formal power series...

Emil Artin (German: [ˈaʁtiːn]; March 3, 1898 – December 20, 1962) was an Austrian mathematician of Armenian descent. Artin was one of the leading mathematicians...

In mathematics, the Artin–Mazur zeta function, named after Michael Artin and Barry Mazur, is a function that is used for studying the iterated functions...

and Pierre Deligne. Collaborators on the SGA projects also included Michael Artin (étale cohomology), Nick Katz (monodromy theory, and Lefschetz pencils)...

students included Shreeram Abhyankar, Heisuke Hironaka, David Mumford, Michael Artin and Steven Kleiman—thus spanning the main areas of advance in singularity...

general theory of stacks, the notion of algebraic stacks was defined by Michael Artin. One of the motivating examples of an algebraic stack is to consider...

include: Emil Artin (1898–1962), Austrian mathematician Michael Artin (born 1934), American mathematician, son of Emil Artin Murad Artin (born 1960), Swedish...

were soon after worked out by Grothendieck together with Michael Artin, and published as (Artin 1962) and SGA 4. Grothendieck used étale cohomology to prove...

real algebraic geometry. Nash's theorem itself was famously applied by Michael Artin and Barry Mazur to the study of dynamical systems, by combining Nash's...

Wendy Artin is an American painter. She primarily works in watercolor and charcoal. Her work is figurative and classical and explores the timeless interaction...

Artin–Verdier duality is a duality theorem for constructible abelian sheaves over the spectrum of a ring of algebraic numbers, introduced by Michael Artin...

étale cohomology, a new cohomology theory developed by Grothendieck and Michael Artin for attacking the Weil conjectures, as outlined in Grothendieck (1960)...

such a stack is called an algebraic stack (also called an Artin stack, after Michael Artin). An algebraic space is Deligne–Mumford. A key fact about a...

generalization of the schemes of algebraic geometry, introduced by Michael Artin for use in deformation theory. Intuitively, schemes are given by gluing...

founders of theoretical astrophysics Emil Artin, mathematician, one of the founders of modern algebra Michael Artin, mathematician, contributed to algebraic...

besides ringed spaces, are the étale topoi of Deligne–Mumford stacks. Michael Artin and Barry Mazur associated to the site underlying a topos a pro-simplicial...

org. Nobel Prize Outreach AB 2024. Sun. 25 Feb 2024. Eckert, Michael; Eckert, Michael; Artin, Tom (2013). Arnold Sommerfeld: science, life and turbulent...

noncommutative projective geometry by Michael Artin and J. J. Zhang, who add also some general ring-theoretic conditions (e.g. Artin–Schelter regularity). Many properties...

field of arithmetic topology (along with John Tate, David Mumford, Michael Artin, and Barry Mazur). He also formulated the Manin conjecture, which predicts...