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Raphael W. Jacobs

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Fachbereich Mathematik Bereich DM Bundesstraße 55 (Geomatikum) 20146 Hamburg

Raum 232 Tel.: +49 40 42838-5159 E-Mail: raphael.jacobs (at) uni-hamburg.de Office hours: by appointment

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About me

I am a 4th year PhD student working in structural graph theory under the supervision of Reinhard Diestel. My main research interests include tangles, decompositions of graphs, graph minors, connectivity and applications in cluster analysis.

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Research

• (with Sandra Albrechtsen, Reinhard Diestel, Ann-Kathrin Elm, Eva Fluck, Paul Knappe and Paul Wollan) A structural duality for path-decompositions into parts of small radius, 2023, submitted. (arXiv)
• (with Nathan Bowler, Ebrahim Ghorbani, Florian Gut and Florian Reich) Menger's Theorem in bidirected graphs, 2023, submitted. (arXiv)
• (with Sandra Albrechtsen, Tony Huynh, Paul Knappe and Paul Wollan) The induced two paths problem, 2023, submitted. (arXiv)
• (with Paul Knappe) Efficiently distinguishing all tangles in locally finite graphs, 2023, submitted. (arXiv)
• (with Reinhard Diestel, Paul Knappe and Paul Wollan) A grid theorem for strong immersions of walls, 2023, submitted. (arXiv)
• (with Reinhard Diestel, Paul Knappe and Jan Kurkofka) Canonical graph decompositions via coverings, 2022, submitted. (arXiv)
• (with Attila Joó, Paul Knappe, Jan Kurkofka and Ruben Melcher) The Lovász-Cherkassky theorem for locally finite graphs with ends, Discrete Mathematics, Volume 346, Issue 12, 2023, 113586. (Journal, arXiv)
• (with Reinhard Diestel and Christian Elbracht) Point sets and functions inducing tangles of set separations, to appear in Journal of Combinatorics. (arXiv)

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Theses

• How to build a tree of tangles by local refinements, 2020, MSc dissertation. (PDF)

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Teaching

• Summer semester 2023: Exercise class to Graph Theory I by Nathan Bowler.
• Winter semester 2020/21: Exercise class to Mathematics I for Computer Scientists by Stefan Geschke.

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