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Preprints
  • R. Kellerhals, Ideal uniform polyhedra in Hn and covolumes of higher dimensional modular groups, Preprint 2018.

Publications
  • V. Kac, R. Kellerhals, F. Knop, P. Littelmann, D. Panyushev, Special issue in honour of Ernest Borisovich Vinberg, J. Algebra 313 (2007), 1-3.
  • R. Kellerhals, On the structure of hyperbolic manifolds, Israel J. Math. 143 (2004), 361-379.
  • N. Johnson, R. Kellerhals, J. Ratcliffe, S. Tschantz, Commensurability classes of hyperbolic Coxeter simplex reflection groups, Linear Algebra Appl. 345 (2002), 119-147.
  • R. Kellerhals, Ball packings in spaces of constant curvature and the simplicial density function, J. reine angew. Math. 494 (1998), 189-203.
  • R. Kellerhals, Nichteuklidische Geometrie und Volumina hyperbolischer Polyeder, Math. Semesterber. 43 (1996), 155-168.
  • R. Kellerhals, Der Mathematiker Ludwig Schläfli (15.01.1814 - 20.03.1895), DMV-Mitteilungen 4 (1996), 35-43.
  • R. Kellerhals, Regular simplices and lower volume bounds for hyperbolic n-manifolds, Annals of Global Analysis and Geometry 13 (1995), 377-392.
  • R. Kellerhals, Shape and size through hyperbolic eyes, The Mathematical Intelligencer 17 (2) (1995), 21-30.
  • R. Kellerhals, Volumina von hyperbolischen Raumformen, Habilitationsschrift, Universität Bonn, April 1995, Preprint MPI 95-110, 100 pp.
  • R. Kellerhals, On volumes of non-Euclidean polytopes, in: "Polytopes: Abstract, Convex and Computational", 231-239, T. Bisztriczky et al. (eds.), Proceedings NATO ASI 440, Kluwer, Dordrecht, 1994.
  • R. Kellerhals, On the volumes of hyperbolic 5-orthoschemes and the Trilogarithm, Comm. Math. Helv. 67 (1992), 648-663.
  • R. Kellerhals, The dilogarithm and volumes of hyperbolic polytopes, in: "Structural properties of Polylogarithms", Leonard Lewin (ed.), AMS Mathematical Surveys and Monographs, vol. 37 (1991), 301-336.
  • R. Kellerhals, On Schläfli's reduction formula, Math. Z. 206 (1991), 193-210.
  • R. Kellerhals, On the volume of hyperbolic polyhedra, Math. Ann. 285 (1989), 541-569.
  • R. Kellerhals, Über den Inhalt hyperbolischer Polyeder in den Dimensionen drei und vier, Dissertation, Universität Basel 1988, 78 pp.


Theses and related publications of my former students
  • A. Kolpakov, Deformation of finite-volume hyperbolic Coxeter polyhedra, limiting growth rates and Pisot numbers, European J. Comb. 33 (2012), 1709-1724.
  • A. Kolpakov, On the optimality of the ideal right-angled 24-cell, Algebraic & Geometric Topology 12 (2012), 1941-1960.
  • T. Hild, The cusped hyperbolic orbifolds of minimal volume in dimensions less than ten, J. Algebra 313 (2007), 208-222.
  • T. Zehrt, The covolume of discrete subgroups of Iso(H^{2m}), Discrete Math. 309 (2009), 2284-2291.
  • T. Zehrt, Schläfli numbers and reduction formula, European J. Combin. 29 (2008), 601-616.
  • A. Felikson, P. Tumarkin, T. Zehrt, On hyperbolic Coxeter n-polytopes with n+2 facets, Adv. Geom. 7 (2007), 177-189.
  • T. Zehrt, Polytopal complexes in spaces of constant curvature, Ph.D. thesis, Universität Basel 2003.