Papers
Recent
• Values of zeta functions of arithmetic surfaces at s=1 (with S. Lichtenbaum). [arXiv:2101.06530]
To appear in Journal of the Institute of Mathematics of Jussieu
• The conjectures of Artin-Tate and Birch-Swinnerton-Dyer (with S. Lichtenbaum, Takashi Suzuki) [arXiv:2101.10222]
• Fibre integration of gerbes and Deligne line bundles (with E. Aldrovandi ). [arXiv:2101.00044]
To appear in Homology, Homotopy and Applications HHA
Older
• Cup products, the Heisenberg group, and codimension two algebraic cycles (with E. Aldrovandi ). [PDF]
Documenta Mathematica 21 (2016), 1313 --1344.
• A note on the Bloch-Tamagawa space and Selmer groups. [PDF]
Proceedings of the Japan Academy 91(2015), no. 5, 61-65.
• Higher Euler characteristics (Variations on a theme of Euler). [PDF]
Homology, Homotopy, and Applications 18 (2016) no. 1, 231-246.
• Exponentiable motivic measures (with G. Tabuada ). [PDF]
Journal of the Ramanujan Mathematical Society 30 (2015) no. 4, 349-360.
• Zeta functions, Grothendieck groups and the Witt ring. [PDF]
Bulletin des Sciences Mathematiques 139(2015), 599-627
• 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]
Journal Institute of Math Jussieu 14(2015), no. 4, 801-835. Journal article
• 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), 1219-1252
• 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]
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),
Journal of Number Theory 112 (2005), 386-400. [DVI]
• Various
• 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]