Entry requirements

A Merit in a taught master’s degree in a relevant discipline.

Months of entry

January, September, May

Course content

This programme offers the chance to undertake a substantial piece of work that is worthy of publication and which makes an original contribution to the field of mathematics within our four broad disciplines – discrete mathematics and algorithms, financial mathematics and control theory, game theory, and operations research. You will begin on the MPhil, and will need to meet certain requirements to be upgraded to PhD status.

You have a plethora of topics to choose from including combinatorics, combinatorial optimisation, computational learning theory, control theory, financial mathematics, game theory, graph theory, integer programming, mechanism design, polyhedral combinatorics, probabilistic analysis, theory of computation and algorithms, and in the applications of mathematics in areas such as inspections, network optimisation, telecommunications, transportation, and economics.

You will benefit from becoming part of an internationally recognised department that is located within a world-class social science institution. We run weekly research seminars covering the Department's research interests, which are attended by many people from both inside and outside LSE. These include the Seminar on Combinatorics, Games, and Optimisation, the Joint Risk & Stochastics and Financial Mathematics Seminar and the co-hosted London Mathematical Finance Seminar.

In addition, there are a number of seminars which are organised largely by and for research students on mathematical subjects, which they are required to contribute to at regular intervals:

Over the course of the years, the Department organises a number of personal development workshops for PhD students, designed to provide tailored support for specific areas of interest, such as careers, impact, final year processes, etc. You will also have the opportunity to teach for the Department, subject to a successful interview and language requirements.

All research students in the Department are provided with some funding each year to encourage and support their research activities, such as conference attendance and purchasing books and technology. Additional research funds are also available, upon application.

Crucially, we have close ties with other departments at LSE, such as Statistics, Finance, Economics and Management, and we are an integral part of the mathematical community of the University of London.

Qualification and course duration


full time
24-48 months

Course contact details

Student Recruitment Office
+44 (0)20 7955 6613