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American mathematician From Wikipedia, the free encyclopedia
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.
Spencer Bloch | |
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![]() Bloch at Oberwolfach in 2004 | |
Born | New York City | May 22, 1944
Alma mater | Harvard College Columbia University |
Known for | Bloch–Kato conjectures |
Scientific career | |
Fields | Mathematics |
Institutions | University of Chicago |
Doctoral advisor | Steven Kleiman |
Doctoral students |
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]
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]