Curriculum Vitæ

Publications

Mathematics:

Cohomology

Jena:

Faculty

David Green

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

• With David Green:
  The Ext algebra of the principal 2-block of the Mathieu group M₁₁.
• Fast Computation of Secondary Invariants
• Dunwoodys Beweisankündigung der Poincaré-Vermutung.
  Mitt. Dtsch. Math.-Ver. Heft 2/2002, pp. 5–7.