Members of the Algebra Group at Royal Holloway are interested in various aspects of Group Theory and its relations to other subject areas. Our main research areas include: Asymptotic Group Theory, Lie Groups and Lie Algebras, Combinatorial Aspects of Groups, Profinite Groups, Representation Theory and Application of Algebra to Cryptography. We work in collaboration with other research groups within the department such as the Information Security and Cryptography Group, the Number Theory Group and the Discrete Mathematics and its Applications Group. More details about the specific research interests of individual members of the Algebra Group can be found on the corresponding personal web pages.

The Algebra Group maintains a lively research atmosphere, fostered by internationally renowned visitors. The weekly research seminars in Pure Mathematics and in Information Security, which regularly feature talks in Algebra, are supplemented by informal Reading Seminars or Advanced Classes. Members of the Algebra Group at Royal Holloway also participate in the inter-collegial London Algebra Colloquium. With their colleagues in Cambridge, London and Southampton they organise the South England Profinite Groups Meetings, which are supported by the London Mathematical Society.

Applicants for postgraduate studies are very welcome. Please contact any member of the group for further details, and see the departmental web page on Ph.D. Research for formal arrangements and scholarship opportunities. Current research students in the Algebra Group benefit from a range of high level courses in various subjects, taught at the LTCC.