Papers

 

Recent

 

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

•      Motivic complexes over finite fields and the ring of correspondences

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

(to appear in Pure and Applied Mathematics Quarterly -- special issue dedicated to John Tate)

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

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

•     KMS States and complex multiplication (with A. Connes, M. Marcolli). [PDF]

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

•      KMS States and complex multiplication, Part II (with A. Connes, M. Marcolli). [PDF]

         To appear in the proceedings of 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),

Journal of Number Theory 112 (2005), 386-400. [DVI]

 

 

In preparation

 

•      The t-category of integral motives over finite fields and values of zeta functions (with J. Milne).

•      On the Weil-¨¦tale cohomology of arithmetic schemes.

 

Older

 

•      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 (Banff 1998). [PDF]