CURRICULUM VITAE
Spencer J. Bloch
Born: May 22, 1944; New York, N.Y.
Nationality: American
Education:
BA. Harvard, 1966
Ph.D. Columbia, 1971
Employment:
Princeton University: Instructor 1971-1972
Lecturer 1972-1973
Assistant Professor 1973-1974
University of Michigan: Associate Professor 1974-1976
University of Chicago: Associate Professor 1976-1979
Professor 1979- 1994
R. M. Hutchins Distinguished Service Professor 1994-
Editorial positions:
American Journal of Mathematics 1982-1988
Compositio Mathematica 1982-1988
Bulletin of the American Math. Soc. 1982-1988
Communications in Algebra 1982-1988
Editor: AMS Bowdoin conference in Algebraic Geometry 1985
K-Theory 1987 -
Journal of Algebraic Geometry 1990 - 1995
Mathematical Research Letters 1994 -
Professional Honors:
Sloan fellowship
Nato fellowship
CNRS fellowship
ICM speaker; Helsinki, Finland 1978
ICM hour speaker; Kyoto, Japan 1990
Takagi Lecturer; Kyoto, Japan 2006
Visiting professorships: Paris, Bonn, Tokyo, Cologne, Cambridge
Sloan Foundation Mathematics Fellowship Committee 1990-1996
Member: National Academy of Sciences 1994-
Member: National Academy of Arts and Sciences 2009-
Humboldt Prize 1996
Visiting Committees: Iowa, Minnesota, Notre Dame, Brown
Publications:
Positivity of chern classes of ample vector bundles (with D. Gieseker),
Inv. Math. 12 (1971).
Semi-regularity and de Rham cohomology, Inv. Math. 17 (1972).
K2 and algebraic cycles, Ann. Math 99 (1974).
Algebraic K-theory and algebraic geometry, Proc. K-theory conf. SLN
341.
On the Tate and Dieudonne modules associated to a formal group
(unpublished).
Gersten's conjecture and the homology of schemes (with A. Ogus)
Ann. Ec. Norm. Sup. t. 7 fasc. 2, (1974).
K2, Brauer groups, and torsion algebraic cycles B.A.M.S. Sept. 1974.
Algebraic K-theory and crystalline cohomology I.H.E.S. Journal No. 47.
Dieudonne crystals associated to p-divisible formal groups
(unpublished).
Some examples in the theory of 0-cycles on an algebraic surface
(with D. Lieberman and A. Kas) Compositio Math. 1977.
On the K-theory of commutative group schemes, J. Algebra 53
(1978).
Applications of the dilogarithm function in algebraic K-theory and
algebraic geometry, Proc. of Kyoto conf. in algebraic geometry.
Torsion algebraic cycles and a theorem of Roitman, Compositio Math.
39 (1979).
On the Chow groups of Fano 3-folds (with J. Murre) Comp. Math. 39
(1979).
Some elementary theorems about algebraic cycles on abelian
varieties, Inv. Math. (1977).
An example in the theory of algebrtaic cycles, Proc. conf. in alg. K-
theory at Northwestern, Springer Lecture Notes.
On the tangent space to Quillen K-theory, Algebraic K-theory I, SLN
341 (1979).
Higher regulators, algebraic K-theory, and zeta functions of elliptic
curves (unpublished).
Torsion algebraic cycles and galois cohomology of function fields
(unpublished).
On the Chow groups of certain rational surfaces, Ann. Ec. Norm Sup.
(1981).
Algebraic K-theory and class field theory for arithmetic surfaces,
Ann. Math. 114 (1981).
On an argument of Mumford in the theory of algebraic cycles, Proc. of
algebraic geometry conf. in Angers.
A note on height pairings, tamagawa numbers, and the Birch and
Swinnerton-Dyer conjecture, Inv. Math. 58, (1980).
Lectures on algebraic cycles, Duke University mathematics series no.
IV, (1980).
P-adic etale cohomology, in Arithmetic and Geometry, Papers
dedicated to I.R. Shafarevich, Birkhauser, (1983).
Algebraic cycles and values of L-functions, Crelle 350 (1984).
The dilogarithm and extensions of lie algebras, in Proc. of a conf. in
algebraic K-theory (Evanston) SLN.
Height pairings for algebraic cycles, Journal of pure and applied
algebra 34 (1984).
Correspondences and algebraic cycles (with V. Srinivas), American
Journal of Math. (1984).
Algebraic cycles and values of L-functions II, Duke Journal 52
(1985).
K2 and L-functions of elliptic curves; computer calculations (with D.
Grayson) proc. AMS conference on K-theory.
Algebraic cycles and higher K-theory, Adv. Math. (1986).
Algebraic cycles and the Beilinson conjectures, Proc. of Lefschetz
conf. in Mexico City, AMS Contemporary Math. no. 58.
Euler characteristics and Swan conductors, Adv. Studies in Pure
Math. 10, Alg. Geo. Sendai 1985 (1987).
De Rham cohomology and conductors of curves, Duke journal in
honor of Y. Manin (1987).
Cycles on arithmetic schemes and Euler characteristics of curves,
Bowdoin conf. on alg. geo. AMS (1987).
Cycles and biextensions, Alg. K-theory conf. in Hawaii, AMS contemp.
math.
L-functions and Tamagawa numbers of motives (with K. Kato) ( in
The Grothendieck Festschrift, Vol. 1, Progress in Mathematics vol. 86,
Birkhauser, Boston (1990)).
Generators and relations for K-groups of regular rings (preprint).
Algebraic K-theory, Motives, and Algebraic Cycles, Proc. ICM, Kyoto
(1990).
Function Theory of Polylogarithms (AMS book on polylogarithms
edited by Lewin.)
Algebraic cycles and the Lie algebra of mixed Tate motives, Journal
of the AMS, Vol. 4, no. 4, (1991).
Non-archimedean Arakelov Theory (with C. Soule and H. Gillet),
Journ. of Alg. Geo. 4, (1995)
Mixed Tate Motives (with I. Kriz) Ann. Math. 140 (1994).
An elementary presentation for K-groups and motivic cohomology,
Proc. Symp. Pure Math., Vol. 55 (1994).
The moving lemma for higher Chow groups, Journ. of Alg. Geometry
3, (1994).
A spectral sequence for motivic cohomology, (joint with S.
Lichtenbaum), to appear in Inventiones Math.
Zeta values and Differential Operators on the Circle, J. of Algebra J. of
Algebra 182 (1996)
The Coniveau Filtration and Non-divisibility for Algebraic Cycles
(with H. Esnault), Math. Ann. 304 (1996), 303-314
Characteristic Classes for Bundles with Connection (with H. Esnault)
(American Journ. of Math. 119, (1997), 903-952
Algebraic Cycles on Degenerate Fibres (with H. Gillet and C. Soule)
To appear in Proc. of a conf. on Hodge Theory
Lectures on Motives, to appear in Proc. Symp Pure Math.
Remarks on Elliptic Motives, to appear in Proc. of a conf. on
regulators in Israel
The Character of the Infinite Wedge Representation (with A. Okounkov)
preprint (to appear in Advances in Math)
A Riemann-Roch theorem for flat bundles, with values in the algebraic
Chern-Simons theory, (with H. Esnault) to appear in Annals of Math
Gauss-Manin determinants for rank 1 irregular connections on curves,
(with H. Esnault) to appear Math. Annalen
Relative Algebraic Differential Characters (with H. Esnault)
(preprint)
Gauss-Manin Determinant Connections and Periods for Irregular
Connections (with H. Esnault) (Israel Conference Mathematics 2000)
A Formula for Gauss-Manin Determinants (with H. Esnault)(preprint)
Homology for Irregular Connections (with H. Esnault) (to appear in
Proc. of Luminy conference on conductors)
Enriched Hodge Structures (with V. Srinivas) (to appear in Tata
conference in algebra proceedings)
Crystals and de Rham-Witt Connections (Journ. Inst. Math. Jussieu
(2004 3(3), 315-326)
An Additive Version of Higher Chow Groups (with H. Esnault) (preprint)
The Additive Dilogarithm (with H. Esnault) (preprint)
Epsilon Factors for Gauss-Manin Determinants (with A. Beilinson and
H. Esnault) (Moscow math. Journal Vol. 2, No. 3 (2003), 477-532)
The Formal Fourier Transform (with H. Esnault) (to appear in Asean
Journal of Math., volume in honor of A. Borel)
Kunneth Projectors for Open Varieties (with H. Esnault), in
Algebraic cycles and motives. Vol. 2, 54--72, London
Math. Soc. Lecture Note Ser., 344, Cambridge Univ. Press, Cambridge,
2007.
On Witt Vector Cohomology for Singular Varieties (with P. Berthelot
and H. Esnault) Comp. Math 143 no. 2 363-392 (2007)
On motives associated to graph polynomials (with H. Esnault and
D. Kreimer) Comm. Math. Physics vol. 267 (2006) 181-225
Report on additive chow groups, Lecture Oberwolfach, July, 2006
Motives Associated to Graphs, Takagi Lectures, Kyoto, November, 2006
publishe in Japanese Journal of Math. vol 2, (2007) 165-196
Mixed Hodge Structures and Renormalization in Physics (with
D. Kreimer) arXiv:0804.4399
Motives Associated to Graph Sums arXiv:0810.1313