Department of Pure Mathematics and Mathematical Statistics

Department of Pure Mathematics and Mathematical Statistics
Name	Department of Pure Mathematics and Mathematical Statistics
Established	1964
Parent	University of Cambridge
Head	Peter Varju
Location	Centre for Mathematical Sciences, Cambridge
Website	https://www.dpmms.cam.ac.uk/

Department of Pure Mathematics and Mathematical Statistics. It is a constituent department of the University of Cambridge, dedicated to fundamental research and teaching in its titular fields. The department is housed within the distinctive Centre for Mathematical Sciences site on Wilberforce Road. Its work spans from abstract algebra to probabilistic modeling, maintaining a global reputation for groundbreaking contributions.

History

The department was formally established in 1964, consolidating mathematical disciplines previously scattered across the university. Key early figures included the algebraist Philip Hall and the statistician David Cox, who shaped its initial direction. For much of its history, it was based in the Mill Lane lecture rooms before a major relocation in the early 21st century. The move to the purpose-built Centre for Mathematical Sciences, spearheaded by architects Edward Cullinan and Rafael Viñoly, provided a unified, state-of-the-art home. This period coincided with significant growth in areas like geometric group theory and stochastic analysis.

Research

Research is organized into broad groups, including Algebra, Number Theory, Geometry and Topology, Analysis, and Probability. The Statistical Laboratory, an integral part, focuses on theoretical statistics, applied probability, and bioinformatics. Major collaborative projects are often supported by grants from the Engineering and Physical Sciences Research Council and the European Research Council. The department hosts several prestigious research fellows, such as those from the Royal Society and the Leverhulme Trust. Seminal work has emerged here, including contributions to the Langlands program, random matrix theory, and the mathematics of quantum field theory.

Academic programmes

The department contributes heavily to the undergraduate Mathematical Tripos, providing lectures and supervision across pure mathematics and statistics. It runs the renowned Part III of the Mathematical Tripos, a demanding one-year Master of Advanced Study course attracting elite international students. Doctoral training is offered through the Cambridge Centre for Analysis and the StatMath program, often in partnership with the Isaac Newton Institute. Key modules cover advanced topics like algebraic geometry, functional analysis, ergodic theory, and Bayesian statistics. Many graduates proceed to positions at institutions like the Institute for Advanced Study or Microsoft Research.

Notable faculty

The department has been home to many distinguished mathematicians. Past members include Fields Medalist Timothy Gowers, known for combinatorics and the Polymath Project, and statistician Sir David Spiegelhalter. Current leading figures include Peter Varju (head of department and analyst), number theorist Jack Thorne (a Fields Medalist), and probabilist James Norris. Other eminent researchers are Imre Leader in combinatorics, Catharina Stroppel in representation theory, and Richard Samworth in statistical theory. Several faculty hold fellowships at Trinity, St John's, and Churchill.

Associated institutes

The department has deep ties with the Isaac Newton Institute for Mathematical Sciences, an international research institute located on the same site that hosts thematic programmes. It collaborates closely with the Cambridge Mathematics initiative, which oversees strategic teaching. Many faculty are also involved with the Alan Turing Institute, the UK's national institute for data science and artificial intelligence. Links exist with the nearby Medical Research Council Biostatistics Unit. The department also interacts with the Institute of Mathematical Statistics and the London Mathematical Society.

Facilities and resources

The primary facility is the Centre for Mathematical Sciences, a complex featuring the iconic Pavilion D and the Betty and Gordon Moore Library. This library holds extensive collections in mathematics and statistics, including the papers of G. H. Hardy. The department maintains high-performance computing clusters for research in computational statistics and number theory. Seminar rooms and common areas are designed to foster collaboration among researchers, students, and visitors from the Newton Institute. The site also includes the MR2 lecture theatre, a key venue for major conferences and lecture series.

Category:University of Cambridge Category:Mathematics departments