Reader, Algebra

Ideal tessellations of hyperbolic 3-space arising from discrete groups produce interesting elements in algebraic K-groups of number rings; moreover, they create beautiful (3D-printable) polytopes. The associated volume function, the dilogarithm, belongs to a class of `higher logarithms’ — analytic functions with (characterising) algebraic fingerprint which allows to treat certain `motives’ explicitly.

Tel: 0191 33 43096

Email: herbert.gangl@durham.ac.uk

Website: http://maths.dur.ac.uk/~dma0hg/