Spencer Bloch

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Spencer Bloch
Spencer Bloch.jpg
Bloch at Oberwolfach in 2004
Born (1944-05-22) May 22, 1944 (age 80)
New York City
Alma mater Harvard College
Columbia University
Known for Bloch–Kato conjectures
Scientific career
FieldsMathematics
Institutions University of Chicago
Doctoral advisor Steven Kleiman
Doctoral students

Spencer Janney Bloch (born May 22, 1944; New York City [1] ) is an American mathematician known for his contributions to algebraic geometry and algebraic K-theory. Bloch is a R. M. Hutchins Distinguished Service Professor Emeritus in the Department of Mathematics of the University of Chicago.

Contents

Research

Bloch introduced the Bloch group in 1978. [2] He introduced Bloch's higher Chow group, a generalization of Chow groups, in 1986. [3] He also introduced Bloch's formula in Algebraic K-theory. [4]

Bloch and Kazuya Kato formulated the motivic Bloch–Kato conjecture relating Milnor K-theory and Galois cohomology in 1986 [5] and the Bloch–Kato conjectures for special values of L-functions in 1990. [6]

Awards and honors

Bloch is a member of the U.S. National Academy of Sciences [7] and a Fellow of the American Academy of Arts and Sciences [8] [9] and of the American Mathematical Society. [10]

He received a Humboldt Prize in 1996. [11] He also received a 2021 Leroy P. Steele Prize for Lifetime Achievement. [12]

At the International Congress of Mathematicians, he gave an invited lecture in 1978 [13] and a plenary lecture in 1990. [9] [14] He was a visiting scholar at the Institute for Advanced Study in 1981–82. [15]

References

  1. ↑ Spencer Bloch CV, Department of Mathematics, University of Chicago. Accessed January 12, 2010
  2. ↑ Bloch, S. (1978). "Applications of the dilogarithm function in algebraic K-theory and algebraic geometry". In Nagata, M (ed.). Proc. Int. Symp. on Alg. Geometry. Tokyo: Kinokuniya. pp. 103–114.
  3. ↑ Bloch, Spencer (September 1986). "Algebraic cycles and higher K-theory". Advances in Mathematics . 61 (3): 267–304. doi: 10.1016/0001-8708(86)90081-2 .
  4. ↑ Daniel Quillen: Higher algebraic K-theory: I. In: H. Bass (ed.): Higher K-Theories. Lecture Notes in Mathematics, vol. 341. Springer-Verlag, Berlin 1973. ISBN   3-540-06434-6
  5. ↑ Bloch, Spencer; Kato, Kazuya (1986). "p-adic etale cohomology". Publications Mathématiques de l'IHÉS. 63: 107–152. doi:10.1007/bf02831624.
  6. ↑ Kings, Guido (2003), "The Bloch–Kato conjecture on special values of L-functions. A survey of known results", Journal de théorie des nombres de Bordeaux, 15 (1): 179–198, doi: 10.5802/jtnb.396 , ISSN   1246-7405, MR   2019010
  7. ↑ Bloch, Spencer J. U.S. National Academy of Sciences. Accessed January 12, 2010. Election Citation: "Bloch has done pioneering work in the application of higher algebraic K-theory to algebraic geometry, particularly in problems related to algebraic cycles, and is regarded as the world's leader in this field. His work has firmly established higher K-theory as a fundamental tool in algebraic geometry."
  8. ↑ American Academy of Arts & Sciences, NEWLY ELECTED MEMBERS, APRIL 2009 Archived August 8, 2013, at the Wayback Machine , American Academy of Arts and Sciences. Accessed January 12, 2010
  9. 1 2 Scholars, visiting faculty, leaders represent Chicago as AAAS fellows, The University of Chicago Chronicle, April 30, 2009, Vol. 28 No. 15. Accessed January 12, 2010
  10. ↑ List of Fellows of the American Mathematical Society, retrieved November 10, 2012.
  11. ↑ Annual Report of the Provost, 1995–96, University of Chicago. Accessed January 12, 2010.
  12. ↑ American Mathematical Society Announcement, November 19, 2020. Accessed November 25, 2020.
  13. ↑ Bloch, S. (1978). "Algebraic K-theory and zeta functions of elliptic curves". In: Proceedings of the International Congress of Mathematicians (Helsinki, 1978). pp. 511–515.
  14. ↑ Bloch, S. (1991). "Algebraic K-theory, motives, and algebraic cycles". In: Proceedings of the International Congress of Mathematicians, August 21–29, 1990, Kyoto, Japan. Mathematical Society of Japan. pp. 43–54.
  15. ↑ Institute for Advanced Study: A Community of Scholars
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