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Wikipedia

David Gieseker

August 18, 2023

David Arends Gieseker (born 23 November 1943 in Oakland, California)[1] is an American mathematician, specializing in algebraic geometry.

Gieseker received his bachelor's degree in 1965 from Reed College and his master's degree from Harvard University in 1967. In 1970 he received his Ph.D. under Robin Hartshorne with thesis Contributions to the Theory of Positive Embeddings in Algebraic Geometry.[2] Gieseker became a professor at the University of California, Los Angeles in 1975 and became professor emeritus in 2022.

The topics of his research include geometric invariant theory and moduli of vector bundles over algebraic curves.

Selected publications

Articles

  • with Spencer Bloch: Bloch, Spencer; Gieseker, David (1971). "The positivity of the Chern classes of an ample vector bundle". Inventiones Mathematicae. 12 (2): 112–117. doi:10.1007/BF01404655. S2CID 122235253.
  • Gieseker, D. (1977). "On the moduli of vector bundles on an algebraic surface". Ann. of Math. 106 (2): 45–60. doi:10.2307/1971157. JSTOR 1971157.
  • Gieseker, D. (1977). "Global moduli for surfaces of general type". Inventiones Mathematicae. 43 (3): 233–282. doi:10.1007/BF01390081. S2CID 120365783.
  • Gieseker, D. (1979). "On a theorem of Bogomolov on Chern classes of stable bundles". American Journal of Mathematics. 101 (1): 77–85. doi:10.2307/2373939. JSTOR 2373939.
  • Gieseker, D. (1982). "Stable curves and special divisors: Petri's conjecture". Inventiones Mathematicae. 66 (2): 251–275. doi:10.1007/BF01389394. S2CID 119765220.
  • with Jun Li: "Irreducibility of moduli of rank two vector bundles". J. Differential Geom. 40: 23–104. 1994. doi:10.4310/jdg/1214455287.
  • with Jun Li: Gieseker, David; Li, Jun (1996). "Moduli of high rank vector bundles over surfaces". J. Amer. Math. Soc. 9: 107–151. doi:10.1090/S0894-0347-96-00171-3.

Books

References

  1. ^ biographical information from American Men and Women of Science, Thomson Gale 2004
  2. ^ David Gieseker at the Mathematics Genealogy Project

External links

  • New Developments in Stability and Moduli, Conference in Honor of the 68th Birthday of David Gieseker, July 18–23, 2011, Hang-Zhou and Li Jiang, China

August 18, 2023
david, gieseker, david, arends, gieseker, born, november, 1943, oakland, california, american, mathematician, specializing, algebraic, geometry, gieseker, received, bachelor, degree, 1965, from, reed, college, master, degree, from, harvard, university, 1967, 1. David Arends Gieseker born 23 November 1943 in Oakland California 1 is an American mathematician specializing in algebraic geometry Gieseker received his bachelor s degree in 1965 from Reed College and his master s degree from Harvard University in 1967 In 1970 he received his Ph D under Robin Hartshorne with thesis Contributions to the Theory of Positive Embeddings in Algebraic Geometry 2 Gieseker became a professor at the University of California Los Angeles in 1975 and became professor emeritus in 2022 The topics of his research include geometric invariant theory and moduli of vector bundles over algebraic curves Contents 1 Selected publications 1 1 Articles 1 2 Books 2 References 3 External linksSelected publications EditArticles Edit with Spencer Bloch Bloch Spencer Gieseker David 1971 The positivity of the Chern classes of an ample vector bundle Inventiones Mathematicae 12 2 112 117 doi 10 1007 BF01404655 S2CID 122235253 Gieseker D 1977 On the moduli of vector bundles on an algebraic surface Ann of Math 106 2 45 60 doi 10 2307 1971157 JSTOR 1971157 Gieseker D 1977 Global moduli for surfaces of general type Inventiones Mathematicae 43 3 233 282 doi 10 1007 BF01390081 S2CID 120365783 Gieseker D 1979 On a theorem of Bogomolov on Chern classes of stable bundles American Journal of Mathematics 101 1 77 85 doi 10 2307 2373939 JSTOR 2373939 Gieseker D 1982 Stable curves and special divisors Petri s conjecture Inventiones Mathematicae 66 2 251 275 doi 10 1007 BF01389394 S2CID 119765220 with Jun Li Irreducibility of moduli of rank two vector bundles J Differential Geom 40 23 104 1994 doi 10 4310 jdg 1214455287 with Jun Li Gieseker David Li Jun 1996 Moduli of high rank vector bundles over surfaces J Amer Math Soc 9 107 151 doi 10 1090 S0894 0347 96 00171 3 Books Edit Lectures on moduli of curves Tata Institute of Fundamental Research Springer Verlag 1982 notes by D R Gokhale with Eugene Trubowitz and Horst Knorrer Geometry of algebraic Fermi curves Academic Press 1992References Edit biographical information from American Men and Women of Science Thomson Gale 2004 David Gieseker at the Mathematics Genealogy ProjectExternal links EditNew Developments in Stability and Moduli Conference in Honor of the 68th Birthday of David Gieseker July 18 23 2011 Hang Zhou and Li Jiang China Retrieved from https en wikipedia org w index php title David Gieseker amp oldid 1120614781, wikipedia, wiki, book, books, library,

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