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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The Cauchy problem and the initial data problem in effective theories of gravity
(20210617)Lovelock and Horndeski theories of gravity are diffeomorphisminvariant theories with secondorder equations of motion. A subset of these theories can be motivated by effective field theory considerations and hence they ... 
Hypothesis testing and causal inference with heterogeneous medical data
(20210506)Learning from data which associations hold and are likely to hold in the future is a fundamental part of scientific discovery. With increasingly heterogeneous data collection practices, exemplified by passively collected ...