Department of Applied Mathematics and Theoretical Physics (DAMTP)
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Carries out research of worldclass 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 50year tradition of carrying out research of worldclass 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.
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Results in Extremal Graph Theory, Ramsey Theory and Additive Combinatorics
This dissertation contains results from various areas of Combinatorics. In Chapter 2, we consider a central problem in Extremal Graph Theory. The extremal number (or Turán number) ex(n,H) of a graph H is the maximum number ... 
Entropic Continuity Bounds & Eventually EntanglementBreaking Channels
This thesis combines two parallel research directions: an exploration into the continuity properties of certain entropic quantities, and an investigation into a simple class of physical systems whose time evolution is given ... 
Energetics and mixing in stratified turbulent flows
(20201128)Turbulent mixing has an important influence on many physical processes in the ocean. For example, the upwelling of water through the stably stratified ocean interior, needed to close the global circulation, is only possible ... 
The effect of double diffusion on the dynamics of turbulent plumes and jets
(20201008)This thesis presents the experimental investigation of the effect of double diffusion on the dynamics of turbulent plumes and jets. Although it consists of seven distinct chapters, the work presented here can be broadly ...