Department of Applied Mathematics and Theoretical Physics

Department of Applied Mathematics and Theoretical Physics. It is a world-renowned department within the University of Cambridge, dedicated to fundamental research in mathematical physics, theoretical physics, and applied mathematics. Established in the mid-20th century, it has been a central hub for groundbreaking work in areas from quantum field theory to fluid dynamics. The department is housed in the distinctive Centre for Mathematical Sciences complex, often referred to as the "Maths Centre," on Wilberforce Road.

History

The department was formally founded in 1959, with its creation championed by figures like the physicist and Nobel laureate Nevill Mott. Its establishment aimed to consolidate and strengthen advanced research in theoretical physics and applied mathematics at Cambridge, fields that had been significantly advanced by earlier Cavendish Laboratory scientists such as Paul Dirac and James Clerk Maxwell. A pivotal moment in its history was the recruitment of Stephen Hawking in 1962, who later became the long-serving Lucasian Professor of Mathematics, a prestigious post also held by Isaac Newton and Dirac. Under the leadership of its first head, George Batchelor, a pioneer in fluid dynamics, the department quickly gained an international reputation. The department moved to its current, purpose-built home at the Centre for Mathematical Sciences in 2002, a project initiated during the tenure of Michael Green, a leading figure in string theory.

Research

Research is organized into several major groups, each focusing on deep theoretical problems. The General Relativity and Gravitation group, historically associated with Stephen Hawking and Roger Penrose, works on black hole thermodynamics, cosmology, and gravitational waves, with strong links to the LIGO collaboration. The High Energy Physics group explores quantum field theory, the Standard Model, and string theory, with notable contributions from figures like Michael Green of Green–Schwarz mechanism fame and David Tong. The Fluid Dynamics group, with roots in George Batchelor's work, studies turbulence, geophysical fluid dynamics, and biological fluid dynamics. Other key areas include Solar System science, astrophysics, numerical analysis, and quantum information theory, often involving collaborations with institutions like the CERN and the Institute for Advanced Study.

Academic programmes

The department does not typically admit undergraduate students directly but is integral to the Cambridge Mathematical Tripos, providing advanced courses and supervision for Part III of the Tripos, a renowned one-year Master of Advanced Study (MASt) programme. This programme attracts top mathematics and physics graduates globally to undertake a demanding course of lectures and a research project. The primary focus is on postgraduate research, leading to the degree of PhD (Doctor of Philosophy). PhD students are embedded within the research groups, working under the supervision of faculty members on cutting-edge topics in cosmology, string theory, soft matter physics, and applied analysis. The department also hosts numerous postdoctoral researchers through fellowships such as those from the Royal Society and the EPSRC.

Notable people

The department has been associated with an extraordinary concentration of influential scientists. Among its most famous members was Stephen Hawking, whose work on black hole radiation was conducted there. Other legendary figures include Paul Dirac, a founder of quantum mechanics; James Clerk Maxwell, who formulated the classical theory of electromagnetism; and John Herschel, though from an earlier era. Renowned living theorists include Michael Green, a co-discoverer of superstring theory; Roger Penrose, a Nobel laureate in Physics; and Michael Berry, known for the Berry phase. Former heads and professors include fluid dynamicist George Batchelor and mathematical physicist John M. Stewart. Many faculty are fellows of prestigious societies like the Royal Society and recipients of awards such as the Dirac Medal and the Fields Medal.

Facilities and centres

The department is housed in the modern Centre for Mathematical Sciences on the University of Cambridge's West Cambridge site. This complex features a distinctive pavilion layout around a central courtyard and houses the Isaac Newton Institute for Mathematical Sciences, an international research institute that hosts thematic programmes attracting visiting researchers from around the world. The department contains specialized research facilities, including high-performance computing clusters for computational fluid dynamics and cosmological simulations. It also maintains close ties with the Cavendish Laboratory (the Department of Physics), the Institute of Astronomy, and the British Antarctic Survey, facilitating interdisciplinary research in astrophysics and geophysical fluid dynamics.

Category:University of Cambridge Category:Mathematical physics Category:1959 establishments in England