Publications

  • "Perfect forms, K-theory and the cohomology of modular groups" (with Ph. Elbaz-Vincent and C. Soulé), Adv. in Math. 245 (2013), 587-624.

  • "Tame kernels and second regulators of number fields and their subfields" (with J. Browkin), Journal of K-Theory 12 (2013), 137-165.

  • "From polygons and symbols to polylogarithmic functions" (with C. Duhr and J. Rhodes), JHEP 10 (2012), 075.

  • "On special elements in higher algebraic K-theory and the Lichtenbaum-Gross Conjecture" (with D. Burns and R. de Jeu), Adv. in Math. 23 (2012), 1502-1529.

  • "Regulators via iterated integrals (numerical computations)", in The geometry of algebraic cycles, Clay Mathematical Proceedings, Cambridge, MA (Joshua, Akhtar, Brosnan, eds.) (2010), 99-117.

  • "Multiple polylogarithms, polygons, trees and algebraic cycles" (with A.B. Goncharov and A. Levin), Proc. Symp. Pure Math 80, part 2 (2009), 547-594.

  • "Multiple logarithms, trees and algebraic cycles" (with A.B. Goncharov and A. Levin), Frontiers in Number Theory, Physics, and Geometry II (eds. Cartier, Julia, Moussa, Vanhove), Springer (2007), 759-776.

  • "Double zeta values and modular forms" (with M. Kaneko and D. Zagier), in Automorphic forms and zeta functions, Proceedings of the conference in memory of Tsuneo Arakawa, World Scientific, 2006, 71-106.

  • "Generators and relations for K2(OF)" (with K. Belabas) K-theory, 31 (2004), pages 195-231.

  • "Functional equations of higher logarithms" Selecta Mathematica, 9 (2003), pages 361-379.

  • "Quelques calculs de la cohomologie de GLN(Z) et de la K-théorie de Z" (with Ph. Elbaz-Vincent and C. Soulé) Comptes Rendus Mathématiques, Académie des Sciences, Paris, 335 (2002), pages 321-324.

  • "On poly(ana)logs I" (with Ph. Elbaz-Vincent) Compositio Mathematica, 130 (2002), pages 161-210.

  • "Classical and elliptic polylogarithms and special values of L-series" (with D. Zagier), in The arithmetic and geometry of algebraic cycles Banff, AB, 1998, NATO Science Series C, Mathematical and Physical Sciences, vol 548, 561-615; Kluwer Academic Publishers, Dordrecht, 2000.

  • "Polylogarithmic identities in cubical higher Chow groups" (with S. Müller-Stach) Proceedings of Symposia in Pure Mathematics, vol 67, pages, 25-40; AMS, Providence, 1999 (table 1, with graphical proof of 5-term relation).

  • Text and Table of "Table of tame and wild kernels of quadratic imaginary fields of discriminants > -5000 (conjectural values)" (with J. Browkin) Mathematics of Computation, 68 (1999), pages 291-305.

  • "Some Computations in weight 4 motivic cohomology" , in Regulators in analysis, geometry and number theory, Progress in Mathematics, vol. 171, pages 117-125; Birkhäuser, Boston, 2000.

  • "Werte von Dedekindschen Zetafunktionen, Dilogarithmuswerte und Pflasterungen des hyperbolischen Raumes" (Diploma thesis)

  • Here is a short introduction to polygonal combinatorics for algebraic cycles.