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| | birth_date = {{Birth date and age|df=y|1934|6|28}} | | birth_date = {{Birth date and age|df=y|1934|6|28}} | ||
| | birth_place = ], Germany | | birth_place = ], Germany | ||
| | death_date = | | death_date = | ||
| | death_place = | | death_place = | ||
| | nationality = German-American | | nationality = German-American | ||
| | fields = ]<br>]<br>] | | fields = ]<br>] | ||
| | workplaces = ] | | workplaces = ] | ||
| | alma_mater = ]<br>] | | alma_mater = ]<br>(])<br>] (]) | ||
| | doctoral_advisor = ] | | doctoral_advisor = ] | ||
| | doctoral_students = ]<br>]<br>]<br>] | | doctoral_students = ]<br>]<br>]<br>] | ||
| | thesis_title = On Enriques' Surfaces | | thesis_title = On Enriques' Surfaces | ||
| | thesis_year = 1960 | | thesis_year = 1960 | ||
| | known_for = | | known_for = ] | ||
| | awards = ] (2005)<br>] (2002)<br>] (2013) <br> ] (2013) | | awards = ] (2005)<br>] (2002)<br>] (2013) <br> ] (2013) | ||
| }} | }} | ||
| '''Michael Artin''' ({{IPA |
'''Michael Artin''' ({{IPA|de|ˈaʁtiːn|lang}}; born 28 June 1934) is an American ] and a professor emeritus in the ], known for his contributions to ].<ref name="profile"> {{Webarchive|url=https://web.archive.org/web/20130408101114/http://math.mit.edu/people/profile.php?pid=9 |date=2013-04-08 }}, MIT mathematics department, retrieved 2011-01-03</ref><ref>{{cite LAF|id=n 81053510}}</ref> | ||
| ==Life and career== | ==Life and career== | ||
| Artin was born in ], Germany, and brought up in ]. His parents were ] (Natascha) and ], preeminent algebraist of the 20th century of Armenian descent. Artin's parents left Germany in 1937, because his mother's father was ].<ref name="mactutor">{{MacTutor Biography|id=Artin_Michael}}</ref> His elder sister is Karin Tate, who was married to mathematician ] until the late 1980s. | Artin was born in ], Germany, and brought up in ]. His parents were ] (Natascha) and ], preeminent algebraist of the 20th century of ] descent. Artin's parents left Germany in 1937, because his mother's father was ].<ref name="mactutor">{{MacTutor Biography|id=Artin_Michael}}</ref> His elder sister is {{visible anchor|Karin Tate|Karin Artin}}, who was married to mathematician ] until the late 1980s. | ||
| Artin did his undergraduate studies at ], receiving an A.B. in 1955 |
Artin did his undergraduate studies at ], receiving an A.B. in 1955. He then moved to ], where he received a Ph.D. in 1960 under the supervision of ], defending a thesis about ].<ref name="profile"/><ref>{{MathGenealogy |id=22863}}</ref> | ||
| ⚫ | In the early 1960s, Artin spent time at the ] in France, contributing to the ] volumes of the ], on ] and ], jointly with ]. He also collaborated with ] to define ] which has become an important tool in algebraic geometry, and applied ideas from algebraic geometry (such as the ]) to the study of ]s of ]s. | ||
| His work on the problem of characterising the ]s in the ] has led to the ] in ] as well as the "Existence theorem". This work also gave rise to the ideas of an ] and ], and has proved very influential in ]. | |||
| He also has made important contributions to the ] of algebraic varieties, serving as the basis for all future work in this area of algebraic geometry. With ], he provided a resolution of the Shafarevich-Tate conjecture for elliptic ]s and the pencil of elliptic curves over finite fields. | |||
| He contributed to the theory of surface singularities which are both fundamental and seminal. The ] 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 ] to ] (] theory), especially geometric aspects, after a talk by ] and an encounter in ] with ] and Lance W. Small, "which prompted first foray into ring theory".<ref>From the MacTutor biography: "His main research area changed from algebraic geometry to noncommutative ring theory".</ref> | |||
| ⚫ | In the early 1960s, Artin spent time at the ] in France, contributing to the ] volumes of the ], on ] and ], jointly with ]. | ||
| He also collaborated with ] to define ] which has become an important tool in algebraic geometry, and applied ideas from algebraic geometry (such as the ]) to the study of ]s of ]s. His work on the problem of characterising the ]s in the ] has led to the ] in ] as well as the "Existence theorem". This work also gave rise to the ideas of an ] and ], and has proved very influential in ]. He also has made important contributions to the ] of algebraic varieties, serving as the basis for all future work in this area of algebraic geometry. With ], he provided a resolution of the Shafarevich-Tate conjecture for elliptic ]s and the pencil of elliptic curves over finite fields. He contributed to the theory of surface singularities which are both fundamental and seminal. The ] 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 ] to ] (] theory), especially geometric aspects, after a talk by ] and an encounter in ] with ] and Lance W. Small, "which prompted first foray into ring theory".<ref>From the MacTutor biography: "His main research area changed from algebraic geometry to noncommutative ring theory".</ref> | |||
| Today, he is a recognized world authority in ] and his impact can be felt across many related areas. | Today, he is a recognized world authority in ] and his impact can be felt across many related areas. | ||
| == Awards == | |||
| ⚫ | |||
| In 2002, Artin won the ]'s annual ] for Lifetime Achievement. | |||
| In 2005, he was awarded the ]. | |||
| In 2013, he won the ], and in 2015 was awarded the ] from the President ]. | |||
| ⚫ | He is also a member of the ] and a Fellow of the ] (1969),<ref name="AAAS">{{cite web|title=Book of Members, 1780-2010: Chapter A|url=http://www.amacad.org/publications/BookofMembers/ChapterA.pdf|publisher=American Academy of Arts and Sciences|access-date=25 April 2011}}</ref> the ], the ],<ref name="profile" /> and the ].<ref>, retrieved 2012-11-03.</ref> | ||
| He is a Foreign Member of the ] and Honorary Fellow of the ], and was awarded honorary doctorates from the universities of Hamburg and ], ]. He was invited to give a talk on the topic "The Étale Topology of Schemes" at the ] in 1966 in ], ]. | He is a Foreign Member of the ] and Honorary Fellow of the ], and was awarded honorary doctorates from the universities of Hamburg and ], ]. He was invited to give a talk on the topic "The Étale Topology of Schemes" at the ] in 1966 in ], ]. | ||
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| *in collaboration with Alexandru Lascu & Jean-François Boutot: {{cite book|title=Théorèmes de représentabilité pour les espaces algébriques|location=Montréal|publisher=Presses de l'Université de Montréal|year=1973}} | *in collaboration with Alexandru Lascu & Jean-François Boutot: {{cite book|title=Théorèmes de représentabilité pour les espaces algébriques|location=Montréal|publisher=Presses de l'Université de Montréal|year=1973}} | ||
| *with notes by C.S. Sephardi & Allen Tannenbaum: {{cite book|title=Lectures on deformations of singularities|location=Bombay|publisher=Tata Institute of Fundamental Research|year=1976}} | *with notes by C.S. Sephardi & Allen Tannenbaum: {{cite book|title=Lectures on deformations of singularities|location=Bombay|publisher=Tata Institute of Fundamental Research|year=1976}} | ||
| *{{cite book|title=Algebra|location=Englewood Cliffs, N.J.|publisher=Prentice Hall|year=1991}} {{cite book|title=2nd edition|location=Boston|publisher=Pearson Education|year=2011}}<ref>{{cite web|author=Karaali, Gizem|title=Review of ''Algebra'' by Michael Artin|date=24 March 2011|website=MAA Reviews, Mathematical Association of America|url=http:// |
*{{cite book|title=Algebra|location=Englewood Cliffs, N.J.|publisher=Prentice Hall|year=1991}} {{cite book|title=2nd edition|location=Boston|publisher=Pearson Education|year=2011}}<ref>{{cite web|author=Karaali, Gizem|title=Review of ''Algebra'' by Michael Artin|date=24 March 2011|website=MAA Reviews, Mathematical Association of America|url=http://old.maa.org/press/maa-reviews/algebra-0}}</ref> | ||
| *{{cite book |title=Algebraic Geometry: Notes on a Course |date=2022 |publisher=American Mathematical Society |url=https://bookstore.ams.org/view?ProductCode=GSM/222}} | |||
| ===As editor=== | ===As editor=== | ||
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| ==See also== | ==See also== | ||
| {{Portal|Biography|Mathematics}} | |||
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Latest revision as of 22:18, 23 September 2024
American mathematician| Michael Artin | |
|---|---|
 Michael Artin in 1999 | |
| Born | (1934-06-28) 28 June 1934 (age 90) Hamburg, Germany |
| Nationality | German-American |
| Alma mater | Princeton University (BA) Harvard University (PhD) |
| Known for | Artin approximation theorem |
| Awards | Harvard Centennial Medal (2005) Steele Prize (2002) Wolf Prize (2013) National Medal of Science (2013) |
| Scientific career | |
| Fields | Algebraic geometry Noncommutative algebra |
| Institutions | MIT |
| Thesis | On Enriques' Surfaces (1960) |
| Doctoral advisor | Oscar Zariski |
| Doctoral students | Eric Friedlander David Harbater Zinovy Reichstein Amnon Yekutieli |
Michael Artin (German: [ˈaʁtiːn]; born 28 June 1934) is an American mathematician and a professor emeritus in the Massachusetts Institute of Technology Mathematics Department, known for his contributions to algebraic geometry.
Life and career
Artin was born in Hamburg, Germany, and brought up in Indiana. His parents were Natalia Naumovna Jasny (Natascha) and Emil Artin, preeminent algebraist of the 20th century of Armenian descent. Artin's parents left Germany in 1937, because his mother's father was Jewish. His elder sister is Karin Tate, who was married to mathematician John Tate until the late 1980s.
Artin did his undergraduate studies at Princeton University, receiving an A.B. in 1955. He then moved to Harvard University, where he received a Ph.D. in 1960 under the supervision of Oscar Zariski, defending a thesis about Enriques surfaces.
In the early 1960s, Artin spent time at the IHÉS in France, contributing to the SGA4 volumes of the Séminaire de géométrie algébrique, on topos theory and étale cohomology, jointly with Alexander Grothendieck. He also collaborated with Barry Mazur to define étale homotopy theory which has become an important tool in algebraic geometry, and applied ideas from algebraic geometry (such as the Nash approximation) to the study of diffeomorphisms of compact manifolds.
His work on the problem of characterising the representable functors in the category of schemes has led to the Artin approximation theorem in local algebra as well as the "Existence theorem". This work also gave rise to the ideas of an algebraic space and algebraic stack, and has proved very influential in 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 algebraic geometry to 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 first foray into ring theory".
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 American Mathematical Society's annual 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), the American Association for the Advancement of Science, the Society for Industrial and Applied Mathematics, and the American Mathematical Society.
He is a Foreign Member of the Royal Netherlands Academy of Arts and Sciences and Honorary Fellow of the Moscow Mathematical Society, and was awarded honorary doctorates from the universities of Hamburg and Antwerp, Belgium. He was invited to give a talk on the topic "The Étale Topology of Schemes" at the International Congress of Mathematicians in 1966 in Moscow, USSR.
Books
As author
- with Barry Mazur: Etale homotopy. Berlin; Heidelberg; New York: Springer. 1969.
- Algebraic spaces. New Haven: Yale University Press. 1971.
- Théorie des topos et cohomologie étale des schémas. Berlin; New York: Springer-Verlag. 1972.
- in collaboration with Alexandru Lascu & Jean-François Boutot: Théorèmes de représentabilité pour les espaces algébriques. Montréal: Presses de l'Université de Montréal. 1973.
- with notes by C.S. Sephardi & Allen Tannenbaum: Lectures on deformations of singularities. Bombay: Tata Institute of Fundamental Research. 1976.
- Algebra. Englewood Cliffs, N.J.: Prentice Hall. 1991. 2nd edition. Boston: Pearson Education. 2011.
- Algebraic Geometry: Notes on a Course. American Mathematical Society. 2022.
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
- ^ Faculty profile Archived 2013-04-08 at the Wayback Machine, MIT mathematics department, retrieved 2011-01-03
- Date information sourced from Library of Congress Authorities data, via corresponding WorldCat Identities linked authority file (LAF).
- O'Connor, John J.; Robertson, Edmund F., "Michael Artin", MacTutor History of Mathematics Archive, University of St Andrews
- Michael Artin at the Mathematics Genealogy Project
- From the MacTutor biography: "His main research area changed from algebraic geometry to noncommutative ring theory".
- "Book of Members, 1780-2010: Chapter A" (PDF). American Academy of Arts and Sciences. Retrieved 25 April 2011.
- List of Fellows of the American Mathematical Society, retrieved 2012-11-03.
- Karaali, Gizem (24 March 2011). "Review of Algebra by Michael Artin". MAA Reviews, Mathematical Association of America.
External links
- Michael Artin at the Mathematics Genealogy Project
- Michael Artin at MIT Mathematics
- http://nationalmedals.org/laureates/michael-artin
- 1934 births
- Living people
- 20th-century American mathematicians
- 21st-century American mathematicians
- Algebraic geometers
- American algebraists
- Fellows of the American Academy of Arts and Sciences
- Fellows of the American Association for the Advancement of Science
- Fellows of the American Mathematical Society
- Fellows of the Society for Industrial and Applied Mathematics
- German people of Armenian descent
- Jewish emigrants from Nazi Germany to the United States
- German people of Austrian descent
- Harvard University alumni
- Massachusetts Institute of Technology School of Science faculty
- Members of the United States National Academy of Sciences
- Presidents of the American Mathematical Society
- Wolf Prize in Mathematics laureates