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Joshua Erde

Joshua Erde

Assistant Professor

School of Mathematics
University of Birmingham
Edgbaston
Birmingham, B15 2TT

Office: 314, Watson Building

E-Mail: j [dot] erde [at] bham [dot] ac [dot] uk

ORCID ID: 0000-0003-1129-4270


News

I am looking to hire a PhD student in Autumn 2026. Further details can be found here. Please get in touch if you are interested.

Short Bio

  • Assistant Professor at University of Birmingham (2025 - present)
  • Assistant Professor (non-tenured) at Graz University of Technology (2019 - 2025)
  • Postdoctoral Researcher at University of Hamburg (2014 - 2019)
    • Supported for 2 years as a Research Fellow of the Alexander von Humboldt Foundation
    • Habilitated in 2020
  • Student at University of Cambridge (2006 - 2014)
    • PhD Supervisor - Imre Leader
    • Recepient of Junior, Senior and Research Scholarship

Selected Publications

  • (With M. Anastos, S. Diskin, L. Lichev, M. Kang and M. Krivelevich) Nearly spanning cycle in the percolated hypercube, submitted (arXiv).
  • (With M. Anastos, M. Kang and V. Pfenninger) The law of the circumference of sparse binomial random graphs, submitted (arXiv).
  • (With S. Diskin, M. Kang and M. Krivelevich) Isoperimetric inequalities and supercritical percolation on high-dimensional product graphs, Combinatorica, Volume 44, 2024.
  • (With B. Barber, P. Keevash and A. Roberts) Isoperimetric stability in lattices, Proceedings of the American Mathematical Society, Volume 151, 2023.
  • (With M. Kang and M. Krivelevich) Expansion in supercritical random subgraphs of the hypercube and its consequences, Annals of Probability, Volume 51, Issue 1, 2023.
  • (With N. Bowler, C. Elbracht, J. P. Gollin, K. Heuer, M. Pitz and M. Teegen) Topological ubiquity of trees, Journal of Combinatorial Theory, Series B, Volume 157, 2022.
  • (With J. P. Gollin, A. Joó, P. Knappe and M. Pitz) Base partition for finitary-cofinitary matroid families, Combinatorica, Volume 41, 2021 .
  • (With B. Barber) Isoperimetry in integer lattices, Discrete Analysis, Volume 7, 2018.
  • A unified treatment of linked and lean tree-decompositions, Journal of Combinatorial Theory, Series B, Volume 130, 2018.
  • (With N. Bowler, P. Heinig, F. Lehner and M. Pitz) A counterexample to the reconstruction conjecture for locally finite trees, The Bulletin of the London Mathematical Society, Volume 49, Issue 4, 2017.

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