Carries out research of world-class excellence in a broad range of subjects across applied mathematics and theoretical physics

The Department of Applied Mathematics and Theoretical Physics (DAMTP) is one of two Mathematics Departments at the University of Cambridge, the other being the Department of Pure Mathematics and Mathematical Statistics (DPMMS). The two Departments together constitute the Faculty of Mathematics, and are responsible for the teaching of Mathematics and its applications within the Mathematical Tripos.

DAMTP has a 50-year tradition of carrying out research of world-class excellence in a broad range of subjects across applied mathematics and theoretical physics. Members of DAMTP have made seminal theoretical advances in the development of mathematical techniques and in the application of mathematics, combined with physical reasoning, to many different areas of science. A unique strength is the G K Batchelor Laboratory, in which fundamental experimental science is also performed. Research students have always played a crucial role in DAMTP research, working on demanding research problems under the supervision of leading mathematical scientists and, in many cases, moving on to become research leaders themselves. The current aims of DAMTP are to continue this tradition, in doing so broadening the range of subject areas studied and using new mathematical and computational techniques.

### Recent Submissions

• #### Worldline CPT and massless supermultiplets ﻿

(World Scientific Publishing, 2016-09-30)
The action for a massless particle in 4D Minkowski space–time has a worldline-time reversing symmetry corresponding to CPT invariance of the quantum theory. The analogous symmetry of the $\mathscr{N}$-extended superparticle ...
• #### Applications of Numerical Relativity Beyond Astrophysics ﻿

(Department of Applied Mathematics and Theoretical Physics, University of Cambridge, 2017)
Numerical relativity has proven to be a successful and robust tool for non-perturbative studies of gravitational phenomena in the highly dynamical and/or non-linear regime. Perhaps the most prominent achievement in the ...
• #### Long-range interactions, wobbles, and phase defects in chains of model cilia ﻿

(American Physical Soceity, 2016-12-13)
Eukaryotic cilia and flagella are chemo-mechanical oscillators capable of generating long-range coordinated motions known as metachronal waves. Pair synchronization is a fundamental requirement for these collective dynamics, ...
• #### Microscale flow dynamics of ribbons and sheets ﻿

(Royal Society of Chemistry, 2017-01-18)
Numerical study of the hydrodynamics of thin sheets and ribbons presents difficulties associated with resolving multiple length scales. To circumvent these difficulties, asymptotic methods have been developed to describe ...