Simon A. King′s Publications


Articles in refereed journals, book chapters

  1. With Holger Kaden:
    Aspects of TQFT and Computational Algebra
    In: Advances in Two-Dimensional Homotopy and Combinatorial Group Theory
    Wolfgang Metzler, Stephan Rosebrock (ed.). London Mathematical Society Lecture Note Series 446 (2018).
  2. With Sergei Matveev, Vladimir Tarkaev, Vladimir Turaev:
    Dijkgraaf-Witten Z2-invariants for Seifert manifolds.
    J. Knot Th. Ramif. 26 (2017).
    DOI 10.1142/S0218216517500067.
  3. With Bettina Eick:
    The isomorphism problem for graded algebras and its application to mod-p cohomology rings of small p-groups.
    J. of Algebra 452 (2016), pp. 487–501.
    Available online 01 Feb 2016.
    DOI 10.1016/j.jalgebra.2015.10.019.
  4. A non-commutative F5 algorithm with an application to the computation of Loewy layers.
    J. of Symbolic Computation 65 (2014), pp. 111–129.
    Available online 31 January 2014.
    DOI 10.1016/j.jsc.2014.01.006.
  5. Comparing completeness criteria for modular cohomology rings of finite groups.
    J. of Algebra 374 (2013), pp. 247–256.
    Available online 16 Nov 2012.
    DOI 10.1016/j.jalgebra.2012.11.003.
  6. Minimal generating sets of non-modular invariant rings of finite groups.
    J. Symbolic Computation 48 (2013), pp. 101–109.
    Available online 15 May 2012.
    DOI 10.1016/j.jsc.2012.05.002.
  7. With David Green, Graham Ellis:
    MR2782542 (2012b:20128)
    The Mod-2 Cohomology Ring of the Third Conway Group is Cohen-Macaulay
    Algebraic & Geometric Topology 11 (2011), pp. 719–734.
    DOI 10.2140/agt.2011.11.719.
  8. With Graham Ellis:
    MR2818950 (2012f:20155)
    Persistent homology of groups.
    J. of Group Theory 14 (2011), pp. 575–587.
  9. With David Green:
    MR2745544 (2011m:20123)
    The computation of the cohomology rings of all groups of order 128.
    J. of Algebra 325 (2011), pp. 352–363.
    DOI 10.1016/j.jalgebra.2010.08.016.
  10. MR2298630 (2008d:57015)
    Ideal Turaev-Viro invariants.
    Topology and Its Applications 154 (2007), pp. 1141–1156.
  11. MR2172792 (2007a:57015)
    Ideal Turaev-Viro invariants.
    Sib. Elektron. Mat. Izv. 3 (2006), pp. 62–66.
  12. With Jürgen Bokowski, Susanne Mock and Ileana Streinu:
    MR2132295 (2006b:52022)
    The Topological Representation of Oriented Matroids.
    Discr. and Comput. Geom. 33 (2005), pp. 645–668.
  13. MR2067132 (2005c:57027)
    How to make a triangulation of S3 polytopal.
    Trans. AMS. 356 (2004), pp. 4519–4542.
  14. With Friedrich Beck and Ulrich Lüttge:
    The Mystery of the Golden Angle in Phyllotaxis.
    Plant, Cell & Environment 27 (2004), pp. 685–695.
  15. MR1992475 (2004h:57032)
    Complexity of triangulations of the projective space.
    Topology Appl. 132 (2003), pp. 261–270.
  16. MR1983086 (2004c:57014)
    Crossing number of links formed by edges of a triangulation
    J. Knot Th. Ramif. 12 (2003), pp. 281–286.
  17. MR1953325 (2003m:57048)
    Regular flip equivalence of surface triangulations.
    Topology Appl. 127 (2002), pp. 169–173.
  18. MR1825667 (2002j:57015)
    The size of triangulations supporting a given link.
    Geometry & Topology 5 (2001), pp. 369–398.

As editor

L. Kauffman, S. King, J. Przytycki, V. Manturov (ed.)
Proceedings of the Workshop on "Invariants in Low–Dimensional Topology" (held at MFO Oberwolfach, Mai 4.–10. 2008).
J. Knot Th. Ramif., Vol. 18:6, 18:10, 19:2 (2009/2010).

Theses

Further publications





Simon King
Department of Mathematics and Computer Science
Friedrich-Schiller-Universität Jena
07737 Jena
GERMANY
E-mail: simon dot king at uni hyphen jena dot de
Tel: +49 (0)3641 9-46161
Fax: +49 (0)3641 9-46162
Office: Zi. 3529, Ernst-Abbe-Platz 2



Last change: 09/27/2008