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Erdös number

Theorem: Matthias' Erdös number is 4.
Proof: Görner - Garoufalidis - Rubinstein - Wormald - Erdös.

[1] Garoufalidis, S., Goerner, M., Zickert, C.K.: Gluing equations for PGL(n,C)-representations of 3-manifolds; Algebr. Geom. Topol. 15 (2015) 565-622
[2] Garoufalidis, S., Hodgson, C.D., Rubinstein, J.H., Segerman, H.: 1-efficient triangulations and the index of a cusped hyperbolic 3-manifold; Geom. Topol. 19 (2015) 2619-2689
[3] Brazil, M., Rubinstein, J.H., Thomas, D.A., Weng, J.F., Wormald, N.C.: Full minimal Steiner trees on lattice sets; J. Comb. Theory Series A. 78 (1997), 51–91
[4] de Caen, D., Erdös, P., Pullman, N.J., Wormald, N.C.: Extremal clique coverings of complementary graphs; Combinatorica, 6, 309–314, 1986.

Videos or Slides of Talks

  • Ptolemy: PGL(n,C)-representations of 3-manifolds (Video)
    Topology, Geometry and Group Theory, Informed by Experiment, ICERM, Brown University, 2013 (Conference Webpage)
  • Principial Congruence Links (Slides)
    UC Berkeley, 2011

Thesis