Professor of Applied Mathematics, of the Massachusetts Massachusetts Institute of Technology, Cambridge, USA.
Non-commutative algebraic geometry.
Michael Artin is one of the leading algebraists and algebraic geometers
2002 Leroy P. Steele Prize for Lifetime Achievement (by the American Mathematical Society) for his lifelong contributions to commutative and non-commutative algebra and ring theory as well as to modern algebraic geometry, including his Approximation Theorem, his work with Swinnerton-Dyer resolving the Shafarevich-Tate conjecture, and his creation of the concept of \"algebraic space\" generalizing \"schemes.\"
Algebra, March 1991.
Arithmetic, by Michael Artin (Editor), John Tate (Editor), May 1983
Arithmetic Geometry, by Michael Artin (Editor), Gary Cornell (Editor), Joseph H. Silverman (Editor), July 1986.
Contributions to Algebraic Geometry in Honor of Oscar Zariski, by Michael Artin (Editor), David Mumford (Editor), June 1979
Duration and Change : Fifty Years at Oberwolfach, by Michael Artin (Editor), Hanspeter Kraft (Editor), Reinhold Remmert (Editor), February 1994.
by Michael Artin, Barry Mazur
Geometry : Papers Dedicated to I. R. Shafarevich on the Occasion of His Sixtieth Birthday, by Michael Artin (Editor), John Tate (Editor), September 1991.