Carl Phillip Bürger

Fachbereich Mathematik Bereich DM Bundesstraße 55 (Geomatikum) 20146 Hamburg

Lehre

SoSe 2020

• Übung: Mathematik II für Informatiker von PD Dr. Stefan Geschke und Prof. Dr. Nathan Bowler.

WiSe 2019/20:

• Übung: Mathematik I für Informatiker von PD Dr. Stefan Geschke und Prof. Dr. Nathan Bowler.

SoSe 2019:

• Übung: Graphentheorie I von Dr. Max Pitz.

WiSe 2018/19:

• Übung: Mathematik I für Informatiker von PD Dr. Stefan Geschke und Dr. Christian Reiher.

SoSe 2018:

• Übung: Diskrete Mathematik von Dr. Konstantinos Stavropoulos.

WiSe 2017/18:

• Übung: Mathematik I für Physiker von PD Dr. Ralf Holtkamp.

Publications and Preprints

End Space Theory and Connectedness

• (with J. Kurkofka) Duality theorems for stars and combs I: Arbitrary stars and combs. (arXiv, submitted)
• (with J. Kurkofka) Duality theorems for stars and combs II: Dominating stars and dominated combs. (arXiv, submitted)
• (with J. Kurkofka) Duality theorems for stars and combs III: Undominated combs. (arXiv, submitted)
• (with J. Kurkofka) Duality theorems for stars and combs IV: Undominating stars. (arXiv, submitted)
• (with J. Kurkofka) End-faithful spanning trees in graphs without normal spanning trees. (arXiv, submitted)
• (with R. Melcher) Ends of digraphs I: basic theory. (arXiv, submitted)
• (with R. Melcher) Ends of digraphs II: the topological point of view. (arXiv, submitted)
• (with R. Melcher) Ends of digraphs III: normal arborescences. (arXiv, submitted)

Edge-Colourings

• (with M. Pitz) Partitioning edge-coloured infinite complete bipartite graphs into monochromatic paths, to appear in Israel J. Math. (arXiv)
• (with L. DeBiasio, H. Guggiari, M. Pitz) Partitioning edge-coloured complete symmetric digraphs into monochromatic complete subgraphs, Discrete Math. 341(11) (2018), 3134-3140. (Journal/arXiv)
• (with M. Pitz) Decomposing edge-coloured complete symmetric digraphs into monochromatic paths, manuscript. (arXiv)