Michael Artin

Source: Wikipedia, the free encyclopedia.
Michael Artin
Noncommutative algebra
InstitutionsMIT
Thesis On Enriques' Surfaces  (1960)
Doctoral advisorOscar Zariski
Doctoral studentsEric Friedlander
David Harbater
Zinovy Reichstein
Amnon Yekutieli

Michael Artin (German:

Massachusetts Institute of Technology Mathematics Department, known for his contributions to algebraic geometry.[1][2]

Life and career

Artin was born in

Jewish.[3] His elder sister is Karin Tate, who was married to mathematician John Tate
until the late 1980s.

Artin did his undergraduate studies at

Enriques surfaces.[1][4]

In the early 1960s, Artin spent time at the

compact manifolds
.

His work on the problem of characterising the

moduli theory
.

He also has made important contributions to the

deformation theory of algebraic varieties, serving as the basis for all future work in this area of algebraic geometry. With Peter Swinnerton-Dyer, he provided a resolution of the Shafarevich-Tate conjecture for elliptic K3 surfaces
and the pencil of elliptic curves over finite fields.

He contributed to the theory of surface singularities which are both fundamental and seminal. The rational singularity and fundamental cycles, which are used in matroid theory, are such examples of his sheer originality and thinking.

He began to turn his interest from

noncommutative algebra (noncommutative ring theory), especially geometric aspects, after a talk by Shimshon Amitsur and an encounter in University of Chicago with Claudio Procesi and Lance W. Small, "which prompted [his] first foray into ring theory".[5]

Today, he is a recognized world authority in noncommutative algebraic geometry and his impact can be felt across many related areas.

Awards

In 2002, Artin won the

Steele Prize
for Lifetime Achievement.

In 2005, he was awarded the Harvard Centennial Medal.

In 2013, he won the Wolf Prize in Mathematics, and in 2015 was awarded the National Medal of Science from the President Barack Obama.

He is also a member of the

National Academy of Sciences and a Fellow of the American Academy of Arts and Sciences (1969),[6] the American Association for the Advancement of Science, the Society for Industrial and Applied Mathematics,[1] and the American Mathematical Society.[7]

He is a Foreign Member of the

USSR
.

Books

As author

As editor

  • with David Mumford: Contributions to algebraic geometry in honor of Oscar Zariski. Baltimore: Johns Hopkins University Press. 1979.
  • with John Tate: Arithmetic and geometry : papers dedicated to I.R. Shafarevich on the occasion of his sixtieth birthday. Boston: Birkhäuser. 1983.
  • with Hanspeter Kraft & Reinhold Remmert: Duration and change : fifty years at Oberwolfach. Berlin; New York: Springer-Verlag. 1994.

See also

References

  1. ^ a b c Faculty profile Archived 2013-04-08 at the Wayback Machine, MIT mathematics department, retrieved 2011-01-03
  2. ^ Date information sourced from Library of Congress Authorities data, via corresponding WorldCat Identities linked authority file (LAF).
  3. ^ O'Connor, John J.; Robertson, Edmund F., "Michael Artin", MacTutor History of Mathematics Archive, University of St Andrews
  4. ^ Michael Artin at the Mathematics Genealogy Project
  5. ^ From the MacTutor biography: "His main research area changed from algebraic geometry to noncommutative ring theory".
  6. ^ "Book of Members, 1780-2010: Chapter A" (PDF). American Academy of Arts and Sciences. Retrieved 25 April 2011.
  7. ^ List of Fellows of the American Mathematical Society, retrieved 2012-11-03.
  8. ^ Karaali, Gizem (24 March 2011). "Review of Algebra by Michael Artin". MAA Reviews, Mathematical Association of America.

External links

Wikimedia Commons has media related to Michael Artin.
Retrieved from "https://en.wikipedia.org/w/index.php?title=Michael_Artin&oldid=1204190787"