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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An empirical resistiveforce theory for slender biological filaments in shearthinning fluids
(American Physical Society, 20170623)Many cells exploit the bending or rotation of flagellar filaments in order to selfpropel in viscous fluids. While appropriate theoretical modeling is available to capture flagella locomotion in simple, Newtonian fluids, ... 
The inclusion of twoloop SUSYQCD corrections to gluino and squark pole masses in the minimal and nexttominimal supersymmetric standard model: SOFTSUSY3.7
(Elsevier, 201710)We describe an extension of the SOFTSUSY spectrum calculator to include twoloop supersymmetric QCD (SUSYQCD) corrections of order O(α s 2 ) to gluino and squark pole masses, either in the minimal supersymmetric standard ... 
Lieb's concavity theorem, matrix geometric means, and semidefinite optimization
(20170115)A famous result of Lieb establishes that the map (A,B)↦tr[K^* A^{1−t}KB^{t}] is jointly concave in the pair (A,B) of positive definite matrices, where K is a fixed matrix and t∈[0,1]. In this paper we show that Lieb's ...