Herbert Gangl

Department of Mathematical Sciences
South Road
Durham, DH1 3LE
United Kingdom

Office: CM108

Phone: +44 191 334 3096

Email: herbert.gangl (Please add "".)

Teaching Information

  • Epiphany term 2014: Algebra II
  • Epiphany term 2014: Modular Forms (MAGIC course)
  • Easter term 2014: A mini-workshop on 3D printing
  • Summer Projects 2014: 3D models for hyperbolic tessellation (Josh Inoue)

    Previous teaching

  • Research Information

    My work is concentrated around polylogarithms and variants thereof, in connection with algebraic K-theory, algebraic number theory and arithmetic algebraic geometry. The questions that I am interested in lead to a variety of rather disparate topics, comprising for instance the homology of the general linear group, configuration and moduli spaces, combinatorial Hopf algebras, multiple zeta values or (quasi-)modular forms and in recent years particle physics. A good chunk of my research has a computer-experimental flavour, using mostly the GP/PARI scripting language to try to detect patterns in piles of data, to find hitherto unknown objects or to formulate conjectures.

    Selected Publications and Preprints


  • "Functional equations and ladders for polylogarithms" (to appear in Communications in Number Theory and Physics).

  • "On the cohomology of linear groups over imaginary quadratic fields" (with M. Dutour Sikiri\v c, P. Gunnells, J. Hanke, A. Schuermann, D. Yasaki).

  • On the Broadhurst-Kreimer generating series for multiple zeta values (with S. Carr, L. Schneps).

    Recent 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.

    Further publications


  • Arithmetic Study Group

    Upcoming Activities

    Groups in Galway (Workshop), May 2014
    Université de Fribourg (Colloquium)
    Workshop on "Multiple Zeta Values, Modular Forms and Elliptic Motives II", December 2014, ICMAT Madrid.
    Workshop on "Cohomological Realizations of Motives", December 2014, Banff International Research Station.

    Previous activities