Prof. Oliver Riordan

Status

Academic Faculty

Professor of Discrete Mathematics

Contact form

+44 1865 615302

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 and sharp thresholds for F-factors

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

A note on Linnik’s theorem on quadratic non-residues

Balister, P Bollobás, B Lee, J Morris, R Riordan, O Archiv der Mathematik volume 112 issue 4 371-375 (11 Jan 2019)

Sesqui-type branching processes

Janson, S Riordan, O Warnke, L Stochastic Processes and their Applications volume 128 issue 11 3628-3655 (01 Nov 2018)

Topological Phase Transitions in Spatial Networks

Balister, P Song, C Riordan, O Bollobas, B Barabasi, A (26 Jun 2018) http://arxiv.org/abs/1806.10114v1

Counting dense connected hypergraphs via the probabilistic method

Bollobás, B Riordan, O Random Structures & Algorithms volume 53 issue 2 185-220 (13 Feb 2018)

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