# Oscar A. Zariski

## Affiliations: | Johns Hopkins University, Baltimore, MD |

##### Area:

Mathematics##### Website:

https://mathematics.jhu.edu/about/history-of-the-department/notable-mathematicians-associated-with-johns-hopkins/##### Google:

"Oscar Zariski"##### Bio:

(1899 - 1986)

https://www.nasonline.org/member-directory/deceased-members/48830.html

## Mean distance: 15.61 (cluster 3) | S | N | B | C | P |

##### Cross-listing: MathTree

#### Parents

Sign in to add mentorFederigo Enriques | grad student | Instituto Superiore di Sanita, Rome | |

Francesco Severi | grad student | Instituto Superiore di Sanita, Rome (MathTree) | |

Guido Castelnuovo | grad student | 1925 | Sapienza Università di Roma |

#### Children

Sign in to add traineeIrvin S. Cohen | grad student | 1942 | Johns Hopkins |

Shreeram Abhyankar | grad student | 1956 | Harvard (MathTree) |

Michael Artin | grad student | 1955-1960 | Harvard (MathTree) |

Peter Lawrence Falb | grad student | 1961 | Harvard (Computer Science Tree) |

David Mumford | grad student | 1961 | Harvard |

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#### Publications

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Zariski O. (1978) A New Proof of the Total Embedded Resolution Theorem for Algebraic Surfaces (Based on the Theory of Quasi-Ordinary Singularities) American Journal of Mathematics. 100: 411 |

Zariski O. (1975) General Theory of Saturation and of Saturated Local Rings. III. Saturation in Arbitrary Dimension and, in Particular, Saturation of Algebroid Hypersurfaces American Journal of Mathematics. 97: 415 |

Zariski O. (1971) General Theory of Saturation and of Saturated Local Rings II: Saturated Local Rings of Dimension 1 American Journal of Mathematics. 93: 872 |

Zariski O. (1971) General Theory of Saturation and of Saturated Local Rings I: Saturation of Complete Local Domains of Dimension One Having Arbitrary Coefficient Fields (of Characteristic Zero) American Journal of Mathematics. 93: 573 |

Zariski O. (1965) Studies in Equisingularity I Equivalent Singularities of Plane Algebroid Curves American Journal of Mathematics. 87: 507 |

Zariski O. (1962) The Theorem of Riemann-Roch for High Multiples of an Effective Divisor on an Algebraic Surface Annals of Mathematics. 76: 560 |

Zariski O, Falb P. (1961) On Differentials In Function Fields. American Journal of Mathematics. 83: 542 |

Atiyah MF, Zariski O. (1960) Introduction to the Problem of Minimal Models in the Theory of Algebraic Surfaces The Mathematical Gazette. 44: 78 |

Goldie AW, Zariski O, Samuel P. (1959) Commutative Algebra, Vol. I The Mathematical Gazette. 43: 238 |

Buchsbaum D, Zariski O, Samuel P. (1959) Commutative Algebra, Vol. II. American Mathematical Monthly. 66: 815 |