Ubiquity in graphs III: Ubiquity of locally finite graphs with extensive tree-decompositions (with N. Bowler, C. Elbracht, J. Erde, P. Gollin, K. Heuer and M. Teegen), submitted. (ArXiv).

Ubiquity in graphs II: Ubiquity of graphs with nowhere non-linear end structure (with N. Bowler, C. Elbracht, J. Erde, P. Gollin, K. Heuer and M. Teegen), submitted. (ArXiv).

Orientations of infinite graphs (with M. Koloschin), submitted. (ArXiv). *Update 1 Dec 2020: We have found a gap in our proof, reducing our bound to 4k. We are currently chasing a number of ideas getting us back to the original 2k and will upload an update as soon as possible.*

Halin's end degree conjecture (with S. Geschke, J. Kurkofka and R. Melcher), submitted. (ArXiv).

Quickly proving Diestel's normal spanning tree criterion, submitted. (ArXiv).

A note on minor antichains of uncountable graphs, submitted. (ArXiv).

Proof of Halin's normal spanning tree conjecture, to appear in *Israel J. Math.* (ArXiv).

A new obstruction for normal spanning trees, submitted. (ArXiv).

Approximating infinite graphs by normal trees (with J. Kurkofka and R. Melcher), *J. Combin. Theory (Series B)* **148** (2021), 173-183. (Journal/ArXiv).

A unified existence theorem for normal spanning trees, *J. Combin. Theory (Series B)* **145** (2020), 466-469. (Journal/ArXiv).

Bounding the cop number of a graph by its genus (with N. Bowler, J. Erde and F. Lehner), submitted. (ArXiv).

Base partition for finitary-cofinatary matroid families (with J. Erde, P. Gollin, A. Joo, P. Knappe), published electronically in *Combinatorica* on 30 November 2020. (Journal/ArXiv).

A Cantor-Bernstein-type theorem for spanning trees in infinite graphs (with J. Erde, P. Gollin, A. Joo, P. Knappe), to appear in *J. Combin. Theory (Series B)*. (ArXiv).

Eulerian spaces (with P. Gartside), submitted. (ArXiv).

Circuits through prescribed edges (with P. Knappe), *J. Graph Theory* **93**(4) (2020) 470-482. (Journal/ArXiv).

Ubiquity in graphs I: Topological ubiquity of trees (with N. Bowler, C. Elbracht, J. Erde, P. Gollin, K. Heuer and M. Teegen), submitted. (ArXiv).

Hamilton decompositions of one-ended Cayley graphs (with J. Erde and F. Lehner), *J. Combin. Theory (Series B)* **140** (2020) 171-191. (Journal/ArXiv).

N-arc and n-circle connected graph-like spaces (with P. Gartside), *Topology Appl.* **256** (2019) 7-25. (Journal/ArXiv).

N-arc connected graphs (with P. Gartside and A. Mamatelashvili), submitted. (ArXiv).

Tangles and the Stone-Cech compactification of infinite graphs (with J. Kurkofka), *J. Combin. Theory (Series B)* **146** (2021), 34-60. (Journal/ArXiv).

Ends, tangles and critical vertex sets (with J. Kurkofka), *Math. Nachrichten* **292**(9) (2019) 2072-2091. (Journal/ArXiv).

Partitioning edge-coloured infinite complete bipartite graphs into monochromatic paths (with C. Bürger), *Israel J. Math.* **238** (2020), 479-500. (Journal/ArXiv).

Partitioning edge-coloured complete symmetric digraphs into monochromatic complete subgraphs (with C. Bürger, L. DeBiasio and H. Guggiari), * Discrete Math.* **341**(11) (2018), 3134-3140. (Journal/ArXiv).

Hamilton cycles in infinite cubic graphs, *Electron. J. Comb.* **25**(3) (2018), #P3.3. (Journal/ArXiv).

Graph-like compacta: characterizations and Eulerian loops (with B. Espinoza and P. Gartside), *J. Graph Theory* **95**(2) (2020), 209-239. (Journal/ArXiv).

Minimal obstructions for normal spanning trees (with N. Bowler and S. Geschke), *Fund. Math.* **241** (2018), 245-263. (Journal/ArXiv).

Non-reconstructible locally finite graphs (with N. Bowler, J. Erde, P. Heinig and F. Lehner), *J. Combin. Theory (Series B)* **133** (2018), 122-152. (Journal/ArXiv).

A counterexample to the reconstruction conjecture for locally finite trees (with N. Bowler, J. Erde, P. Heinig and F. Lehner), *Bull. London Math. Soc.* **49** (2017), 630-648. (Journal/ArXiv).

A counterexample to Montgomery's conjecture on dynamic colourings of regular graphs (with N. Bowler, J. Erde, F. Lehner, M. Merker and K. Stavropoulos), *Discrete Appl. Math.* **229** (2017), 151-153. (Journal/ArXiv).

Reconstructing compact metrizable spaces (with P. Gartside and R. Suabedissen), *Proc. Amer. Math. Soc.* **145** (2017), 429-443. (Journal/ArXiv).

Reconstructing topological graphs and continua (with P. Gartside and R. Suabedissen), *Colloquium Math.* **148** (2017), 107-122. (Journal/ArXiv).

A topological variation of the reconstruction conjecture (with R. Suabedissen), *Glasg. Math. J.* **59** (2017), 221-235. (Journal/ArXiv).

Self-maps under the compact-open topology (with R. Lupton), *Topology Appl.* **212** (2016) 122-141. (Journal/ArXiv).

Compactifications of ω*\{x} and S_{κ}\{x} (with R. Suabedissen), *Topology Proc.* **45** (2015) 151-173. (Journal/ArXiv).