Spencer Janney Bloch (born May 22, 1944)Spencer Bloch CV, Department of Mathematics, University of Chicago. Accessed January 12, 2010 is an American mathematician known for his contributions to algebraic geometry and algebraic K-theory. Bloch is the R. M. Hutchins Distinguished Service Professor Emeritus in the Department of Mathematics of the University of Chicago.
Research Bloch introduced the Bloch group in 1978. He introduced Bloch's higher Chow group, a generalization of Chow groups, in 1986. He also introduced Bloch's formula in Algebraic K-theory.Daniel Quillen: Higher algebraic K-theory: I. In: H. Bass (ed.): Higher K-Theories. Lecture Notes in Mathematics, vol. 341. Springer-Verlag, Berlin 1973.
Bloch and Kazuya Kato formulated the motivic Bloch–Kato conjecture relating Milnor K-theory and Galois cohomology in 1986 and the Bloch–Kato conjectures for special values of L-functions in 1990.
Awards and honors Bloch is a member of the U.S. National Academy of SciencesBloch, 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." and a Fellow of the American Academy of Arts and Sciences American Academy of Arts & Sciences, NEWLY ELECTED MEMBERS, APRIL 2009 , American Academy of Arts and Sciences. Accessed January 12, 2010Scholars, visiting faculty, leaders represent Chicago as AAAS fellows, The University of Chicago Chronicle, April 30, 2009, Vol. 28 No. 15. Accessed January 12, 2010 and of the American Mathematical Society.List of Fellows of the American Mathematical Society, retrieved November 10, 2012.
He received a Humboldt Prize in 1996.Annual Report of the Provost, 1995–96, University of Chicago. Accessed January 12, 2010. He also received a 2021 Leroy P. Steele Prize for Lifetime Achievement.American Mathematical Society Announcement, November 19, 2020. Accessed November 25, 2020.
At the International Congress of Mathematicians, he gave an invited lecture in 1978 and a plenary lecture in 1990. He was a visiting scholar at the Institute for Advanced Study in 1981–82.Institute for Advanced Study: A Community of Scholars
References
James D. Lewis, and Rob de Jeu (Editors), Motives and Algebraic Cycles: A Celebration in Honour of Spencer J. Bloch. Fields Institute Communications series, 2009, American Mathematical Society.
External links Spencer Bloch personal webpage, Department of Mathematics, University of Chicago