Department of Applied Mathematics and Theoretical Physics (DAMTP)
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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.
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Inherent Instabilities and Discontinuities: The Kuramoto-Sivashinsky Equation and a Suspension Flow as Exemplars
In this thesis, we will be studying two problems with significant small-time asymptotic structures with inherent instabilities and discontinuities. First, we consider the concentration of particles in suspension in a shear ... -
On the Foundations of Computation and Sampling for Reconstruction and Approximation
These days we use numerical methods in a large variety of applications. Many of them are security sensitive, like image reconstruction and classification in health care or scene detection for self-driving cars. In these ... -
Biological Physics of Collective Motion: Circular Milling in Symsagittifera roscoffensis and Related Questions of Self-Organisation
Collective motion, a phenomenon resulting from the interactions of many individuals, occurs across the natural world across all length scales, from the flocking of birds to the swirling of Bacillus subtilis bacteria. ... -
Fully Automated Segmentation of High Grade Serous Ovarian Cancer on Computed Tomography Images using Deep Learning
In this thesis, we investigate how deep neural networks can be used for the fully automated segmentation of high grade serous ovarian cancer. The recent rise of deep learning has pushed the limits of what algorithms can ...
