Prof. Oliver Riordan

Status

Academic Faculty

Professor of Discrete Mathematics

+44 1865 615302

Contact form

ORCID iD

https://orcid.org/0000-0002-2934-8065

Research groups

Combinatorics

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent books

Percolation. Bollobás, B Riordan, O (2006)

Recent publications

Random cliques in random graphs revisited

Morris, R Riordan, O (01 Apr 2025) http://arxiv.org/abs/2504.00964v1

Thresholds, Expectation Thresholds and Cloning

Przybyłowski, T Riordan, O The Electronic Journal of Combinatorics volume 31 issue 4 (27 Dec 2024)

How does the chromatic number of a random graph vary?

Heckel, A Riordan, O Journal of the London Mathematical Society (10 Aug 2023)

Random cliques in random graphs and sharp thresholds for F-factors

RIORDAN, O Random Structures and Algorithms (22 Jul 2022)

Essential properties of the Tutte polynomial

Bollobás, B Riordan, O Handbook of the Tutte Polynomial and Related Topics 27-43 (11 May 2022)

Research interests

Random graphs, especially inhomogenous random graphs and their phase transitions; percolation, in particular percolation in random environments.

Highlighted publications

Explosive percolation is continuous.

Riordan, O Warnke, L Science volume 333 issue 6040 322-324 (15 Jul 2011) https://www.ncbi.nlm.nih.gov/pubmed/21764743

Percolation on self-dual polygon configurations

Bollobas, B Riordan, O An irregular mind - Szemeredi is 70 volume 21 131-217 (2010) http://arxiv.org/abs/1001.4674v2

The diameter of sparse random graphs

Riordan, O Wormald, N Combinatorics, Probability and Computing 19 (2010), 835--926 (29 Aug 2008) http://arxiv.org/abs/0808.4067v3

Sparse random graphs with clustering

Bollobas, B Janson, S Riordan, O Random Structures and Algorithms 38 (2011), 269--323 (13 Jul 2008) http://arxiv.org/abs/0807.2040v2

Percolation on dense graph sequences

Bollobás, B Borgs, C Chayes, J Riordan, O Annals of Probability volume 38 issue 1 150-183 (12 Jan 2007) http://arxiv.org/abs/math/0701346v3

Prizes, awards, and scholarships

London Mathematical Society Whitehead Prize, 2007