Papers

Recent

(Recent research is partially supported by an NSF Grant DMS-0600801)

•
Motivic complexes and special values of zeta functions (with J.
Milne). [PDF]

•
The p-cohomology of algebraic varieties and special values of zeta functions (with J.
Milne). [PDF]

• Motivic complexes over finite fields and the ring of correspondences

at the generic point (with J.
Milne). [PDF]

Pure and Applied Mathematics Quarterly (Tate issue), 5 (2009), 1197-1228

• Values
of zeta functions at s= ½. [PDF]

IMRN
(International
Mathematics Research Notices) 25 (2005), 1519-1541.

•

Selecta Mathematica 11 (2005) no. 3-4, 325-347.

•

Operator Algebras: The Abel Symposium 2004, 15-60 The Abel Symposium 2004

• The de Rham-Witt and Z_p cohomologies of an algebraic
variety. (with J.
Milne) [PDF]

Advances in Mathematics, 198 (2005), 36-42 (volume in honour of Mike Artin).

• Integral motives and special values
of zeta functions
(with J. Milne).

Journal of the AMS 17 (2004), 499-555. [PDF]

• One-motives and a conjecture of Deligne,

Journal of Algebraic Geometry, 13 no.1 (2004), 29-80. [DVI]

• Extensions of abelian
varieties defined over a number field, (with M. Papanikolas),

• Motivic complexes and special values of zeta functions (with J. Milne).

• Variations on a theme of Euler (aka higher Euler characteristics)

• Duality of Albanese and Picard
one-motives, K-Theory. [DVI]

• A Weil-Barsotti formula
for Drinfeld modules, Journal of Number Theory (with Papanikolas).
[DVI]

• A note on Arithmetic Topology, CRAS (Canada). [DVI]

• From Jacobians to
one-motives: exposition of a conjecture of Deligne,

The Arithmetic and Geometry of Algebraic Cycles (