Skip to main content

Discrete Mathematics

Discrete Mathematics

The discrete mathematics group undertakes fundamental research in areas including combinatorics, algorithms and probabilistic graph theory, as well as its applications in areas such as cryptography, communications theory and information security.

Members of the discrete mathematics group are part of the research centres Algorithms and Applications, Mathematical and Theoretical Economics, Combinatorial Methods in Algebra, Number Theory and Applications, and the Information Security Group. Our collaborators live and work all over the world and we regularly welcome visitors at Royal Holloway.

Professor Simon Blackburn:

My research interests are in combinatorics and its applications, especially to cryptography and communication theory, and in group theory.


Professor Stefanie Gerke: 

My main interests are in the area of graph theory in general, and in random graph theory and algorithms in particular.


Professor Iain Moffatt:

I work in algebraic combinatorics, matroid theory, topological graph theory, and knot theory. My research centres on the interface of combinatorics and topology. I am particularly interested in the ways in which combinatorial and topological structures can be encoded in one another, and in exploiting such connections to solve hard problems in combinatorics and topology.


Dr Siaw-Lynn Ng:

My main research is in the fields of finite geometry, combinatorics and security protocols. My research focuses on the interaction between discrete mathematics and information security.  Recent research areas are combinatorial problems in cryptography and communications, and the balancing of privacy and accountability in anonymous networks.

Most publications of the group can be found here.


All members of the algebra group are experienced PhD supervisors and accept new PhD students in most years. Please contact the members of staff you are interested in working with and apply to our PhD programme.

Explore Royal Holloway

Get help paying for your studies at Royal Holloway through a range of scholarships and bursaries.

There are lots of exciting ways to get involved at Royal Holloway. Discover new interests and enjoy existing ones

Heading to university is exciting. Finding the right place to live will get you off to a good start

Whether you need support with your health or practical advice on budgeting or finding part-time work, we can help

Discover more about our 21 departments and schools

Find out why Royal Holloway is in the top 25% of UK universities for research rated ‘world-leading’ or ‘internationally excellent’

Royal Holloway is a research intensive university and our academics collaborate across disciplines to achieve excellence.

Discover world-class research at Royal Holloway

Discover more about who we are today, and our vision for the future

Royal Holloway began as two pioneering colleges for the education of women in the 19th century, and their spirit lives on today

We’ve played a role in thousands of careers, some of them particularly remarkable

Find about our decision-making processes and the people who lead and manage Royal Holloway today