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Some Specific Topics for Research Degrees

There are lots of possibilities for postgraduate research projects in mathematics at Heriot-Watt. Here we give a small, but representative sample of some projects that are on offer by our enthusiastic team of leading mathematicians. Feel free to contact a member of staff to find out more details.

Jump to: Applied Anal., Computational Applied Maths and Modelling, Math Biology and Medicine, Algebra and Topology, Math Physics, Solitons and Nonlinear Waves, CALM

Applied Analysis
Spectral Theory, Pseudospectra	(Lyonell Boulton)
Nonlocal heat equations	(Prof A A Lacey)
Bifurcations and nonlinear boundary value problems / Jumping nonlinearities	(Dr B. Rynne)

Computational Applied Mathematics and Modelling
Wave propagation and scattering / Reservoir simulation / Convolution integral nerve axon equations	(Dr D B Duncan)
Buckling of cylinders / Numerics for stochastic differential equations	(Dr G J Lord)
Initiation of flames / Welding / Food motion and cooking / Homelessness and housing allocation/ Fire spread	(Prof A A Lacey)

Mathematical Biology and Medicine
Disease dynamics in ecology / Evolution of ecological systems	(Dr A R White)
Cancer Growth / Cell movement in development	(Dr K Painter)
Modelling of neurons	(Dr G J Lord)

Algebra and Topology
Homotopy quantum field theories and surface categories	(Dr P R Turner)
Knot surgery and 1-relator products of groups	(Prof J Howie)
Constructions for semigroups from category theory/ Plus construction for group presentations	(Dr N D Gilbert)

Mathematical Physics
Observables in 2+1 dimensional quantum gravity / Supersymmetric monopole dynamics and duality	(Dr B Schroers)
Solvable lattice models and integrable quantum field theories	(Dr R A Weston)
String theory and K-theory	(Dr R Szabo and Dr P R Turner)

Solitons and Nonlinear waves
Hyperelliptic functions and exact solutions to nonlinear wave equations/ Exact energy-levels of quantum lattice problems / Dynamics of quantum particles on classical nonlinear lattices	(Prof J C Eilbeck)

CALM
Computer-aided assessment of mathematics	(Prof C E Beevers)