• Thumbnail for Melvin Hochster
    Melvin Hochster (born August 2, 1943) is an American mathematician working in commutative algebra. He is currently the Jack E. McLaughlin Distinguished...
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  • and art historian Melvin Hochster (born 1943), American mathematician Melvin Konner (born 1946), Professor of Anthropology Melvin Schwartz (1932–2006), American...
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  • In algebra, the Hochster–Roberts theorem, introduced by Melvin Hochster and Joel L. Roberts in 1974, states that rings of invariants of linearly reductive...
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  • commutative algebra. Its properties were investigated by Richard Stanley, Melvin Hochster, and Gerald Reisner in the early 1970s. Given an abstract simplicial...
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  • particularly its Krull dimension and depth. The following list given by Melvin Hochster is considered definitive for this area. In the sequel, A , R {\displaystyle...
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  • (Harvard) 1959 Jon H. Folkman (UC Berkeley) 1960 Louis Jaeckel (UCLA) 1960 Melvin Hochster (Harvard) 1960 William R. Emerson (Caltech) 1960 Barry Wolk (Manitoba)...
    51 KB (1,248 words) - 18:36, 30 October 2024
  • Conjecture for simplicial spheres, which was based on earlier work of Melvin Hochster and Gerald Reisner. While the problem can be formulated purely in geometric...
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  • homeomorphic to Spec(R) for some commutative ring R. This is a theorem of Melvin Hochster. More generally, the underlying topological space of any scheme is...
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  • commutative algebra, a field of mathematics, the monomial conjecture of Melvin Hochster says the following: Let A be a Noetherian local ring of Krull dimension...
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  • career Fields Mathematics Institutions Princeton University Doctoral students Don Blasius Bill Casselman Melvin Hochster Robert Rumely Alice Silverberg...
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  • Thumbnail for Craig Huneke
    been Marvin Rosenblum professor at the University of Virginia. With Melvin Hochster and others, he developed the theory of tight closure, a device in ring...
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  • defined on ideals in positive characteristic. It was introduced by Melvin Hochster and Craig Huneke (1988, 1990). Let R {\displaystyle R} be a commutative...
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  • Berlin, New York: Springer-Verlag The Stacks Project, section 0601 Melvin Hochster, Math 711: Lecture of October 3, 2007 (especially the very last part)...
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  • Swanson 2006, Theorem 4.3.4 Matsumura 1970, Ch 12 Chapter 4 of Reid. Melvin Hochster, Math 711: Lecture of September 7, 2007 Atiyah, Michael Francis; Macdonald...
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  • Thumbnail for List of people by Erdős number
    Hinton Morris Hirsch Friedrich Hirzebruch Tony Hoare Gerhard Hochschild Melvin Hochster Maria Hoffmann-Ostenhof Guido Hoheisel Helge Holden Christopher Hooley...
    60 KB (5,797 words) - 08:03, 21 November 2024
  • "A characterization of Chevalley groups over fields of odd order" Melvin Hochster for his paper "Topics in the homological theory of commutative rings"...
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  • probability and statistics, co-editor of The Bridge World (Pace University) Melvin Hochster (1960) – commutative algebra, algebraic geometry, invariant theory;...
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  • on smooth varieties. Inventiones mathematicae, 144(2):241–252, 2001 Melvin Hochster and Craig Huneke. Comparison of symbolic and ordinary powers of ideals...
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  • Gerhard Hochschild (1915–2010), mathematician; Steele Prize (1980) Melvin Hochster (born 1943), commutative algebra; Cole Prize (1980) Douglas Hofstadter...
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  • closure of parameter ideals and f-rationality under the supervision of Melvin Hochster. In the academic year 1993–1994 she was a postdoc at Purdue University...
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  • “Asymptotic Behavior of Annihilator Lengths in Certain Quotient Rings” under Melvin Hochster at the University of Michigan (1998). Combining her interests in mathematics...
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  • practice in architecture William Herbert Hobbs, professor of Geology Melvin Hochster, commutative algebraist Andrew Hoffman, an expert in environmental...
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  • Kenneth Harper Juris Hartmanis Wayne A. Hendrickson W. Daniel Hillis Melvin Hochster Stephen Taylor Holmes Sarah Blaffer Hrdy Tony Hunter Rudolf Jaenisch...
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  • Wolfgang Haken Leo Harrington Allen Edward Hatcher Michael Robert Herman Melvin Hochster Ju. S. Ilyashenko Victor Ivrii Henryk Iwaniec S. V. Jablonskii Arthur...
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  • contributor to numerical analysis Jayanta Kumar Ghosh – statistician Melvin Hochster – commutative algebraist Otto F. Hunziker – early head of Dairy department...
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  • Institute of Technology 1985 Richard S. Hamilton Columbia University 1999 Melvin Hochster University of Michigan 1992 Helmut Hofer Institute for Advanced Study...
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  • dissertation, Local cohomology and group actions, was supervised by Melvin Hochster. After working as a Dunham Jackson Assistant Professor at the University...
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  • Eliot Smith Professor of History, Washington University in St. Louis Melvin Hochster, R.L. Wilder Professor of Mathematics, University of Michigan Cecelia...
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  • Thumbnail for Yves André
    In 2016, André used Scholze's method of perfectoid spaces to prove Melvin Hochster's direct summand conjecture that any finite extension of a regular commutative...
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  • Berlin, New York: Springer-Verlag, ISBN 978-0-387-94268-1, MR 1322960 Hochster, Melvin (2007), "Homological conjectures, old and new", Illinois J. Math.,...
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