Rhys J. Evans

G’day! I am a Magma research fellow working in the Computational algebra group at the University of Sydney, School of Mathematics and Statistics

My research interests include algebraic graph theory, combinatorics, finite geometry, and related computational aspects.

For a few more specific topics I am currently investigating, please see the Research page.

Previously…: … I was based in the Inštitut za matematiko, fiziko in mehaniko in Ljubljana, Slovenia, where I worked on creating and curating datasets of highly symmetrical discrete objects with Primož Potočnik. I have also worked at the Sobolev Institute of Mathematics, in the Applied Abstract Algebra group led by Alexander Mednykh. I received my PhD in Mathematics at Queen Mary University of London in 2020, under the supervision of Professor Leonard H. Soicher.

News

Mar 18, 2026	I am now working in the Magma group in Sydney.
Mar 18, 2026	The Magma issue tracker is now on github!
Mar 18, 2026	Magma has a new logo!

Selected publications

arXiv

On Neumaier Cayley graphs

Rhys J. Evans, Sergey Goryainov, Grigory Ryabov, and Da Zhao

2026

DOI arXiv Bib

@unpublished{EGRZ_2026,
  title = {On Neumaier Cayley graphs},
  author = {Evans, Rhys J. and Goryainov, Sergey and Ryabov, Grigory and Zhao, Da},
  year = {2026},
  aeprint = {2602.05412},
  archiveprefix = {arXiv},
  primaryclass = {math.CO},
  url = {https://arxiv.org/abs/2602.05412},
  doi = {10.48550/arXiv.2602.05412}
}

JSC

A census of Cayley graphs

Rhys J. Evans and Primož Potočnik

Journal of Symbolic Computation, 2026

DOI arXiv Bib HTML

@article{EP_2026,
  title = {A census of Cayley graphs},
  author = {Evans, Rhys J. and Potočnik, Primož},
  journal = {Journal of Symbolic Computation},
  volume = {137},
  pages = {102580},
  year = {2026},
  doi = {https://doi.org/10.1016/j.jsc.2026.102580},
  url = {https://www.sciencedirect.com/science/article/pii/S0747717126000283},
}

Zenodo

Cubic Cayley graphs on up to 5000 vertices

Primož Potočnik

2025

DOI Bib HTML

@data{EP_2025_dataA,
  author = {Potočnik, Primož},
  title = {Cubic Cayley graphs on up to 5000 vertices},
  year = {2025},
  publisher = {Zenodo},
  version = {1},
  doi = {10.5281/zenodo.15775470},
  url = {https://doi.org/10.5281/zenodo.15775470},
}

Zenodo

Quartic Cayley graphs on up to 1025 vertices

Rhys J. Evans and Primož Potočnik

2025

DOI Bib HTML

@data{EP_2025_dataB,
  author = {Evans, Rhys J. and Potočnik, Primož},
  title = {Quartic Cayley graphs on up to 1025 vertices},
  year = {2025},
  publisher = {Zenodo},
  version = {1},
  doi = {10.5281/zenodo.15775678},
  url = {https://doi.org/10.5281/zenodo.15775678},
}