Rhys J. Evans

G’day! I am a Magma research fellow working in the Comptutational 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.

Selected publications

JCD

Tightness of the weight-distribution bound for strongly regular polar graphs

Rhys J. Evans, Sergey Goryainov, and Leonid Shalaginov

Journal of Combinatorial Designs, 2025

DOI arXiv Bib HTML

@article{EGS_2025,
  author = {Evans, Rhys J. and Goryainov, Sergey and Shalaginov, Leonid},
  title = {Tightness of the weight-distribution bound for strongly regular polar graphs},
  journal = {Journal of Combinatorial Designs},
  volume = {33},
  number = {12},
  pages = {435--445},
  doi = {https://doi.org/10.1002/jcd.22001},
  url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/jcd.22001},
  eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/jcd.22001},
  year = {2025}
}

arXiv

A census of Cayley graphs

Rhys J. Evans and Primož Potočnik

2025

DOI arXiv Bib

@unpublished{EP_2025,
  title = {A census of Cayley graphs},
  author = {Evans, Rhys J. and Potočnik, Primož},
  year = {2025},
  eprint = {2512.05406},
  archiveprefix = {arXiv},
  primaryclass = {math.CO},
  url = {https://arxiv.org/abs/2512.05406},
  doi = {10.48550/arXiv.2206.15341}
}

Zenodo

Minimal Cayley graphs on 2 to 511 vertices (excluding 384)

Rhys J. Evans, Kolja Knauer, and Primož Potočnik

2025

DOI Bib HTML

@data{EKP_2025_dataA,
  author = {Evans, Rhys J. and Knauer, Kolja and Potočnik, Primož},
  title = {Minimal Cayley graphs on 2 to 511 vertices (excluding 384)},
  year = {2025},
  publisher = {Zenodo},
  version = {0.1},
  doi = {10.5281/zenodo.15704803},
  url = {https://doi.org/10.5281/zenodo.15704803},
}