Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Melvin_Hochster> ?p ?o }
- Melvin_Hochster abstract "Melvin Hochster (born August 2, 1943) is an eminent American mathematician, regarded as one of the leading commutative algebraists active today. He is currently the Jack E. McLaughlin Distinguished University Professor of Mathematics at the University of Michigan.Hochster attended Stuyvesant High School, where he was captain of the Math Team, and received a B.A. from Harvard University. While at Harvard, he was a Putnam Fellow in 1960. He earned his Ph.D. in 1967 from Princeton University, where he wrote a dissertation under Goro Shimura characterizing the prime spectra of commutative rings. He held positions at the University of Minnesota and Purdue University before joining the faculty at Michigan in 1977. Hochster shared the 1980 Cole Prize with Michael Aschbacher, received a Guggenheim Fellowship in 1981, and has been a member of both the National Academy of Sciences and the American Academy of Arts and Sciences since 1992. In 2008, on the occasion of his 65th birthday, he was honored with a conference in Ann Arbor and with a special volume of the Michigan Mathematical Journal.Hochster's work is primarily in commutative algebra, especially the study of modules over local rings. He has established classic theorems concerning Cohen-Macaulay rings, invariant theory and homological algebra. For example, the Hochster-Roberts theorem states that the invariant ring of a linearly reductive group acting on a regular ring is Cohen-Macaulay. His best-known work is on the homological conjectures, many of which he established for local rings containing a field, thanks to his proof of the existence of big Cohen-Macaulay modules and his technique of reduction to prime characteristic. His most recent work on tight closure, introduced in 1986 with Craig Huneke, has found unexpected applications throughout commutative algebra and algebraic geometry.Hochster has been recognized for his efforts in mentoring and popularizing mathematics through lectures and articles. He has had more than 30 doctoral students, and the Association for Women in Mathematics has pointed out his outstanding role in mentoring women students pursuing a career in mathematics. He is currently (since 2009) serving as the chair of the department of Mathematics at the University of Michigan.Hochster's hobbies are cryptic crosswords and contract bridge.".
- Melvin_Hochster almaMater Harvard_University.
- Melvin_Hochster almaMater Princeton_University.
- Melvin_Hochster award Cole_Prize.
- Melvin_Hochster award Guggenheim_Fellowship.
- Melvin_Hochster award William_Lowell_Putnam_Mathematical_Competition.
- Melvin_Hochster birthDate "1943-08-02".
- Melvin_Hochster birthPlace Brooklyn.
- Melvin_Hochster doctoralAdvisor Goro_Shimura.
- Melvin_Hochster doctoralStudent Karen_Smith_(mathematician).
- Melvin_Hochster doctoralStudent Piotr_Blass.
- Melvin_Hochster doctoralStudent Sankar_Dutta.
- Melvin_Hochster field Mathematics.
- Melvin_Hochster nationality United_States.
- Melvin_Hochster thumbnail Melvin_Hochster.jpg?width=300.
- Melvin_Hochster wikiPageExternalLink Phantom_Homology.html?id=j0iQoDDKCYEC.
- Melvin_Hochster wikiPageExternalLink Topics_in_the_Homological_Theory_of_Modu.html?id=3QePqfuPSSgC.
- Melvin_Hochster wikiPageExternalLink men.html.
- Melvin_Hochster wikiPageExternalLink index.html.
- Melvin_Hochster wikiPageExternalLink ~hochster.
- Melvin_Hochster wikiPageExternalLink mse.html.
- Melvin_Hochster wikiPageExternalLink 01.shtml.
- Melvin_Hochster wikiPageExternalLink NAS-58N3JQ?opendocument&Start=1&Count=1000&ExpandView.
- Melvin_Hochster wikiPageID "3520779".
- Melvin_Hochster wikiPageLength "5794".
- Melvin_Hochster wikiPageOutDegree "68".
- Melvin_Hochster wikiPageRevisionID "706484578".
- Melvin_Hochster wikiPageWikiLink Algebraic_geometry.
- Melvin_Hochster wikiPageWikiLink American_Academy_of_Arts_and_Sciences.
- Melvin_Hochster wikiPageWikiLink Association_for_Women_in_Mathematics.
- Melvin_Hochster wikiPageWikiLink Bachelor_of_Arts.
- Melvin_Hochster wikiPageWikiLink Big_Cohen-Macaulay_modules.
- Melvin_Hochster wikiPageWikiLink Brooklyn.
- Melvin_Hochster wikiPageWikiLink Category:1943_births.
- Melvin_Hochster wikiPageWikiLink Category:20th-century_American_mathematicians.
- Melvin_Hochster wikiPageWikiLink Category:21st-century_American_mathematicians.
- Melvin_Hochster wikiPageWikiLink Category:Algebraists.
- Melvin_Hochster wikiPageWikiLink Category:Guggenheim_Fellows.
- Melvin_Hochster wikiPageWikiLink Category:Harvard_University_alumni.
- Melvin_Hochster wikiPageWikiLink Category:Living_people.
- Melvin_Hochster wikiPageWikiLink Category:Members_of_the_United_States_National_Academy_of_Sciences.
- Melvin_Hochster wikiPageWikiLink Category:Princeton_University_alumni.
- Melvin_Hochster wikiPageWikiLink Category:Purdue_University_faculty.
- Melvin_Hochster wikiPageWikiLink Category:Putnam_Fellows.
- Melvin_Hochster wikiPageWikiLink Category:Stuyvesant_High_School_alumni.
- Melvin_Hochster wikiPageWikiLink Category:University_of_Michigan_faculty.
- Melvin_Hochster wikiPageWikiLink Category:University_of_Minnesota_faculty.
- Melvin_Hochster wikiPageWikiLink Cohen–Macaulay_ring.
- Melvin_Hochster wikiPageWikiLink Cole_Prize.
- Melvin_Hochster wikiPageWikiLink Commutative_algebra.
- Melvin_Hochster wikiPageWikiLink Commutative_ring.
- Melvin_Hochster wikiPageWikiLink Contract_bridge.
- Melvin_Hochster wikiPageWikiLink Craig_Huneke.
- Melvin_Hochster wikiPageWikiLink Cryptic_crossword.
- Melvin_Hochster wikiPageWikiLink Doctor_of_Philosophy.
- Melvin_Hochster wikiPageWikiLink Goro_Shimura.
- Melvin_Hochster wikiPageWikiLink Guggenheim_Fellowship.
- Melvin_Hochster wikiPageWikiLink Harvard_University.
- Melvin_Hochster wikiPageWikiLink Homological_algebra.
- Melvin_Hochster wikiPageWikiLink Homological_conjectures_in_commutative_algebra.
- Melvin_Hochster wikiPageWikiLink Invariant_polynomial.
- Melvin_Hochster wikiPageWikiLink Invariant_theory.
- Melvin_Hochster wikiPageWikiLink Karen_Smith_(mathematician).
- Melvin_Hochster wikiPageWikiLink Local_ring.
- Melvin_Hochster wikiPageWikiLink Mathematician.
- Melvin_Hochster wikiPageWikiLink Mathematics.
- Melvin_Hochster wikiPageWikiLink Michael_Aschbacher.
- Melvin_Hochster wikiPageWikiLink Michigan_Mathematical_Journal.
- Melvin_Hochster wikiPageWikiLink Module_(mathematics).
- Melvin_Hochster wikiPageWikiLink Monomial_conjecture.
- Melvin_Hochster wikiPageWikiLink National_Academy_of_Sciences.
- Melvin_Hochster wikiPageWikiLink Piotr_Blass.
- Melvin_Hochster wikiPageWikiLink Princeton_University.
- Melvin_Hochster wikiPageWikiLink Purdue_University.
- Melvin_Hochster wikiPageWikiLink Reduction_to_prime_characteristic.
- Melvin_Hochster wikiPageWikiLink Reductive_group.
- Melvin_Hochster wikiPageWikiLink Regular_ring.
- Melvin_Hochster wikiPageWikiLink Ring_(mathematics).
- Melvin_Hochster wikiPageWikiLink Sankar_Dutta.
- Melvin_Hochster wikiPageWikiLink Spectrum_of_a_ring.
- Melvin_Hochster wikiPageWikiLink Stuyvesant_High_School.
- Melvin_Hochster wikiPageWikiLink Tight_closure.
- Melvin_Hochster wikiPageWikiLink United_States.
- Melvin_Hochster wikiPageWikiLink University_of_Michigan.
- Melvin_Hochster wikiPageWikiLink University_of_Minnesota.
- Melvin_Hochster wikiPageWikiLink William_Lowell_Putnam_Mathematical_Competition.
- Melvin_Hochster wikiPageWikiLinkText "Hochster".
- Melvin_Hochster wikiPageWikiLinkText "Hochster, Melvin".
- Melvin_Hochster wikiPageWikiLinkText "Melvin Hochster".
- Melvin_Hochster wikiPageWikiLinkText "Melvin_Hochster".
- Melvin_Hochster almaMater Harvard_University.
- Melvin_Hochster almaMater Princeton_University.
- Melvin_Hochster awards Cole_Prize.
- Melvin_Hochster awards Guggenheim_Fellowship.
- Melvin_Hochster awards William_Lowell_Putnam_Mathematical_Competition.
- Melvin_Hochster birthDate "1943-08-02".
- Melvin_Hochster birthPlace Brooklyn.
- Melvin_Hochster doctoralAdvisor Goro_Shimura.
- Melvin_Hochster doctoralStudents Karen_Smith_(mathematician).
- Melvin_Hochster doctoralStudents Piotr_Blass.