# Michael Artin

#1,073

Most Influential Person Now

American mathematician

## Michael Artin's AcademicInfluence.com Rankings

Michael Artinmathematics Degrees

Mathematics

#47

World Rank

#141

Historical Rank

#15

USA Rank

Algebraic Geometry

#7

World Rank

#8

Historical Rank

#1

USA Rank

Algebra

#16

World Rank

#30

Historical Rank

#7

USA Rank

Measure Theory

#1178

World Rank

#1502

Historical Rank

#426

USA Rank

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Mathematics

## Why Is Michael Artin Influential?

(Suggest an Edit or Addition)According to Wikipedia, Michael Artin is a German-American mathematician and a professor emeritus in the Massachusetts Institute of Technology Mathematics Department, known for his contributions to algebraic geometry. Life and career Michael Artin or Artinian of Armenian origin was born in Hamburg, Germany, and brought up in Indiana. His parents were Natalia Naumovna Jasny 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 , who was married to mathematician John Tate until the late 1980s.

## Michael Artin's Published Works

### Published Works

- ON ISOLATED RATIONAL SINGULARITIES OF SURFACES. (1966) (717)
- Algebraic approximation of structures over complete local rings (1969) (701)
- Graded algebras of global dimension 3 (1987) (573)
- Noncommutative Projective Schemes (1994) (519)
- On the solutions of analytic equations (1968) (495)
- SOME NUMERICAL CRITERIA FOR CONTRACTABILITY OF CURVES ON ALGEBRAIC SURFACES. (1962) (436)
- Versal deformations and algebraic stacks (1974) (404)
- On Periodic Points (1965) (393)
- Some Elementary Examples of Unirational Varieties Which are Not Rational (1972) (393)
- Modules over regular algebras of dimension 3 (1991) (364)
- Some Algebras Associated to Automorphisms of Elliptic Curves (2007) (331)
- Supersingular $K3$ surfaces (1974) (265)
- On Enriques' surfaces (1960) (255)
- On azumaya algebras and finite dimensional representations of rings (1969) (247)
- Algebraization of Formal Moduli: II. Existence of Modifications (1970) (246)
- Twisted homogeneous coordinate rings (1990) (194)
- Algebraization of formal moduli: I (2015) (168)
- Quantum deformations of GLn (1991) (157)
- Formal groups arising from algebraic varieties (1977) (146)
- Algebraic construction of Brieskorn's resolutions (1974) (145)
- North-Holland Mathematical Library (2005) (130)
- European Mathematical Society (1994) (128)
- Brauer-Severi varieties (1982) (126)
- The Shafarevich-Tate conjecture for pencils of elliptic curves onK3 surfaces (1973) (111)
- On the joins of hensel rings (1971) (111)
- Generic Flatness for Strongly Noetherian Algebras (1999) (107)
- Degenerate fibres and stable reduction of curves (1971) (102)
- Lectures on deformations of singularities (1976) (92)
- Arithmetic and Geometry (1983) (88)
- Complex Analysis and Algebraic Geometry: Coverings of the Rational Double Points in Characteristic p (1977) (86)
- Residual intersections in Cohen-Macauley rings (1972) (85)
- Lipman’s Proof of Resolution of Singularities for Surfaces (1986) (72)
- Abstract Hilbert Schemes (2001) (71)
- Connectedness of the Hilbert scheme (2017) (62)
- Geometry of quantum planes (1992) (58)
- Reflexive modules over rational double points (1985) (52)
- Representation Theory and Algebraic Geometry: Some Problems On Three-Dimensional Graded Domains (1997) (50)
- On the Jacobians of plane cubics (2005) (41)
- On the van Kampen theorem (1966) (35)
- Left ideals in maximal orders (1982) (34)
- Maximal orders of global dimension and Krull dimension two (1986) (33)
- Integral ring homomorphisms (1981) (32)
- Duality in the flat cohomology of curves (1976) (30)
- A Structure Theorem for Power Series Rings (1988) (28)
- Two-dimensional orders of finite representation type (1987) (23)
- Semiprime Graded Algebras of Dimension Two (2000) (22)
- Arithmetic and Geometry: Papers Dedicated to I.R. Shafarevich on the Occasion of His Sixtieth Birthday Volume I Arithmetic (1983) (21)
- Etale Coverings of Schemes Over Hensel Rings (1966) (17)
- Smoothing of a Ring Homomorphism Along a Section (1983) (16)
- Local structure of maximal orders on surfaces (1982) (15)
- The Centers of 3-Dimensional Sklyanin Algebras (1994) (14)
- Topology of curves and surfaces, and special topics in the theory of algebraic varieties (1978) (13)
- A Version of Zariski's Main Theorem for Polynomial Identity Rings (1979) (8)
- Cases in Precision Medicine: When Patients Present With Direct-to-Consumer Genetic Test Results (2019) (6)
- Duration and Change: Fifty Years at Oberwolfach (1994) (6)
- Homotopy of Varieties in the Etale Topology (1967) (6)
- Immunogenetics of gastrointestinal cancers: A systematic review and retrospective survey of inborn errors of immunity in humans (2022) (3)
- Alexandre Grothendieck, 1928-2014, Part 1 (2016) (3)
- Duration and Change (1994) (3)
- Alexandre Grothendieck, 1928–2014, Part 2 (2016) (2)
- STUDY ON THE THYROID FUNCTION OF THOROUGHBRED HORSES BY MEANS OF "IN VITRO" 125I-T3 MODIFIED AND 125I-T4 TESTS (1975) (2)
- Variation on Artin's Vanishing Theorem (2004) (1)
- On two-sided modules which are left projective (1981) (1)
- Correction to: Maximal orders of global dimension and Krull dimension two (1987) (1)
- Autoduality of the Jacobian : advanced science seminar in algebraic geometry, sponsored by the National Science Foundation, Bowdoin College, Summer 1967 (1967) (1)
- Deformations and Algebraic Stacks (2005) (1)
- Algebraic Geometry (2022) (0)
- Interactions between noncommutative algebra and algebraic geometry (2010) (0)
- Homotopy groups of completions (1969) (0)
- 18.701 Algebra I, Fall 2007 (2003) (0)
- The fundamental group (1969) (0)
- Interview at CIRM: Michael Artin (2015) (0)
- Zariski's Topological and Other Early Papers (1991) (0)
- New Trends in Noncommutative Algebra and Algebraic Geometry (2012) (0)
- Pro-objects in the homotopy category (1969) (0)
- Bridges Between Noncommutative Algebra and Algebraic Geometry: 16w5088 (2017) (0)
- Quantitative Assessments of the Physical and Mathematical Sciences: A Summary of the Lessons Learned: Mathematical Sciences Assessment Panel, Commission on Physical Sciences, Mathematics, and Applications, National Research Council (1994) (0)
- Completions and fibrations (1969) (0)
- The Verdier functor (1969) (0)
- Contributions to Algebraic Geometry in Honor of Oscar Zariski (1979) (0)
- Allocution du professeur Henri Cartan (Paris) (1994) (0)
- Algebra (2nd Edition) (Featured Titles For Abstract Algebra) By Michael Artin (2019) (0)
- Cohomological criteria for ♮-isomorphism (1969) (0)
- Zariski's Papers on Holomorphic Functions (1991) (0)
- Amateur Public Choice and Regime Uncertainty in Post-Katrina New Orleans A DAM (2007) (0)
- 18.702 Algebra II, Spring 2003 (2003) (0)
- A glossary of the categories in which we shall work, and fibre resolutions (1969) (0)
- Holomorphic functions and linear systems (1973) (0)
- A profiniteness theorem (1969) (0)

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## Other Resources About Michael Artin

## What Schools Are Affiliated With Michael Artin?

Michael Artin is affiliated with the following schools: