School of Mathematics (Cambridge)

School of Mathematics (Cambridge)
Name	School of Mathematics, University of Cambridge
Established	19th century (formalised 1960s)
Type	Academic department
Parent	University of Cambridge
City	Cambridge
Country	United Kingdom

Contents

School of Mathematics (Cambridge) is the central administrative unit coordinating mathematical teaching and research at the University of Cambridge. It brings together historic departments, including the Department of Pure Mathematics and Mathematical Statistics and the Department of Applied Mathematics and Theoretical Physics, and interfaces with colleges such as Trinity College, Cambridge, St John's College, Cambridge, and King's College, Cambridge. The School serves undergraduate courses like the Mathematical Tripos and postgraduate programmes such as the Part III of the Mathematical Tripos, while hosting research affiliated with institutes including the Isaac Newton Institute for Mathematical Sciences and the Leverhulme Trust.

History

Mathematical study at the University of Cambridge traces to medieval scholars at Peterhouse, Cambridge and formal instruction in mathematics expanded under figures associated with Isaac Newton and William Oughtred. The 18th and 19th centuries saw development through holders of the Lucasian Chair of Mathematics such as Joseph-Louis Lagrange (visitor), George Airy, and Arthur Cayley, while the 20th century featured luminaries in chairs including G. H. Hardy, J. E. Littlewood, and S. Ramanujan (visitor). Postwar restructuring integrated the Cavendish Laboratory interactions with mathematics, and mid-20th century administrative reforms led to the modern School coordinating the Department of Applied Mathematics and Theoretical Physics and the Department of Pure Mathematics and Mathematical Statistics, reflecting influences from the Wittgenstein Lectures, the Royal Society, and government-funded initiatives like the Engineering and Physical Sciences Research Council. The creation of interdisciplinary centres such as the Centre for Mathematical Sciences, Cambridge consolidated research and graduate education.

The School comprises major academic units including Department of Pure Mathematics and Mathematical Statistics (DPMMS) and Department of Applied Mathematics and Theoretical Physics (DAMTP), as well as associated research groups like the Statistical Laboratory, Cambridge and centres linked to the Isaac Newton Institute for Mathematical Sciences. Administrative governance aligns with the Faculty of Mathematics structures, reporting to central bodies such as the General Board of the Faculties and collaborating with colleges including Gonville and Caius College, Cambridge and Pembroke College, Cambridge. Committees coordinate appointments to professorships such as the Sadleirian Professor of Pure Mathematics and the Lowndean Professor of Astronomy and Geometry, and manage endowed lectureships associated with entities like the Royal Society and the British Academy.

Undergraduate instruction is dominated by the Mathematical Tripos, with initial years taught via college supervision at institutions such as Christ's College, Cambridge and Magdalene College, Cambridge, and later years incorporating lecture series by faculty holding chairs like the Lucasian Chair of Mathematics and the Rouse Ball Professorship of Mathematics. The School administers postgraduate offerings including Part III of the Mathematical Tripos and doctoral programmes leading to the PhD under supervision by fellows linked to research councils such as the Engineering and Physical Sciences Research Council and funders like the Clay Mathematics Institute. Teaching integrates problem classes, supervisions given by college tutors, and lecture courses referencing canonical works by mathematicians such as Bernhard Riemann, Évariste Galois, and Andrey Kolmogorov.

Research spans pure and applied domains, with active groups in topology, algebra, number theory, analysis, probability, fluid dynamics, mathematical physics, and computational mathematics paralleling traditions from scholars like Alan Turing, John von Neumann, and Roger Penrose. The School houses or affiliates with institutes and programmes including the Isaac Newton Institute for Mathematical Sciences, research clusters funded by the European Research Council, and collaborative centres with organisations such as the Cavendish Laboratory and the Wellcome Trust. Major research outputs connect to awards like the Fields Medal, the Abel Prize, and the Wolf Prize, and contribute to cross-disciplinary projects with partners including Microsoft Research Cambridge, Anglia Ruskin University collaborations, and initiatives under the Leverhulme Trust.

Faculty and alumni form a distinguished lineage: holders of the Lucasian Chair include Paul Dirac and Stephen Hawking (affiliate), while DPMMS and DAMTP alumni include G. H. Hardy, John Edensor Littlewood, Andrew Wiles, Roger Penrose, Freeman Dyson, Michael Atiyah, Timothy Gowers, Terence Tao (visitor), H. S. M. Coxeter (visitor), and Kurt Gödel (visitor). Other eminent figures connected through supervision or fellowship include Alan Turing, Subrahmanyan Chandrasekhar (affiliate), J. J. Sylvester (professor), Arthur Eddington, Hermann Bondi, Niels Henrik Abel (honorary recognition), Émile Borel (visitor), Mary Cartwright, Harold Davenport, L. J. Mordell, John Conway, Herbert Wilf, Paul Erdős (visitor), George Green (historical alumnus), and Srinivasa Ramanujan (patronage and recognition).

The primary site is the Centre for Mathematical Sciences, Cambridge, which includes departmental offices, lecture theatres, seminar rooms, and dedicated computing facilities with high-performance clusters supported by partnerships with Intel and local research infrastructure. Libraries and archives include holdings in the Cambridge University Library, special collections relating to figures such as Isaac Newton and G. H. Hardy, and access to journals via subscriptions to publishers like Oxford University Press and Cambridge University Press. Experimental and computational laboratories support work in numerical analysis and modelling, collaborating with units such as the Department of Computer Science and Technology and national facilities tied to the Science and Technology Facilities Council.

Public engagement is conducted through lecture series, public talks, and festivals involving partners like the Royal Institution, the British Science Association, and the Cambridge Science Festival, often featuring speakers who have received prizes such as the Fields Medal or the Copley Medal. Educational outreach includes summer programmes, teacher training with institutes such as the Faculty of Education, University of Cambridge, and initiatives with schools across Cambridgeshire and beyond, alongside media collaborations with broadcasters like the BBC and publications through the Cambridge University Press.