Fachbereich Mathematik 
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Jan Kurkofka

Fachbereich Mathematik
Bereich DM
Bundesstraße 55 (Geomatikum)
20146 Hamburg
Raum 244
Tel.: +49 40 42838-7660
E-Mail: jan.kurkofka (at) uni-hamburg.de


WiSe 2019/20:

SoSe 2019:

WiSe 2018/19:

SoSe 2018:

WiSe 2017/18:

Research interest

I study the combinatorial and topological aspects of infinite graphs, with the overarching aim of better understanding the structure of infinite graphs.

Publications and preprints

  • (with Ruben Melcher) Tba.
  • Ubiquity and the Farey graph, 2020, submitted. (arXiv).
  • The Farey graph is uniquely determined by its connectivity, 2020, submitted. (arXiv)
  • (with Carl Bürger) End-faithful spanning trees in graphs without normal spanning trees, 2020, submitted. (arXiv).
  • Every infinitely edge-connected graph contains the Farey graph or $T_{\aleph_0}\!\ast t$ as a minor, 2020, submitted. (arXiv)
  • (with Carl Bürger) Duality theorems for stars and combs, 2020, submitted.
    1. Arbitrary stars and combs. (arXiv)
    2. Dominating stars and dominated combs. (arXiv)
    3. Undominated combs. (arXiv)
    4. Undominating stars. (arXiv)

  • (with Ann-Kathrin Elm) A tree-of-tangles theorem for infinite-order tangles, 2020, submitted. (arXiv).
  • (with Ruben Melcher and Max Pitz) Approximating infinite graphs by normal trees, 2020, submitted. (arXiv).
  • (with Max Pitz) Tangles and the Stone-Čech compactification of infinite graphs, J. Combin. Theory (Series B) 146 (2021), 34-60. ( Journal | arXiv).
  • (with Max Pitz) Ends, tangles and critical vertex sets, Math. Nachrichten 292(9) (2019), 2072-2091. ( Journal | arXiv ).

Master's thesis

  • On the tangle compactification of infinite graphs, 2017. (arXiv)

  Seitenanfang  Impress 2020-08-07, Jan Kurkofka