Cambridge University Reporter


Mathematical Tripos, Part III, 2006: Notice

The Faculty Board of Mathematics give notice that, in accordance with Regulations 16 and 17 for the Mathematical Tripos (Statutes and Ordinances, p. 329), there will be set in 2006 if candidates desire to present themselves therein, a paper in each of the subjects in the following list. The duration of the paper is shown beside it.

1.Lie algebras and representation theory(3 hours)
2.Noetherian algebras(3 hours)
3.Topics in infinite groups(2 hours)
4.Representation theory of symmetric groups(3 hours)
5.The geometric Langlands programme(3 hours)
6.Introduction to Banach spaces and algebras(3 hours)
7.Topics in Fourier analysis(3 hours)
8.Semigroups of operators(3 hours)
9.Complex dynamics(3 hours)
10.Advanced complex variable(3 hours)
11.Topics in Banach spaces(3 hours)
12.Combinatorics(2 hours)
13.Quasirandomness(2 hours)
14.Probabilistic combinatorics(3 hours)
15.Differential geometry(3 hours)
16.Algebraic topology(3 hours)
17.Algebraic geometry(3 hours)
18.Curves and Jacobians(3 hours)
19.Representations of compact lie groups(3 hours)
20.Sympletic topology(3 hours)
21.Cobordism(3 hours)
22.Smooth four-manifolds(2 hours)
23.Spectral geometry(3 hours)
24.Category theory(3 hours)
25.Set theory(3 hours)
26.Cyclotomic fields(3 hours)
27. Topics in number theory(2 hours)
28.Analytic number theory(2 hours)
29.Elliptic curves(3 hours)
30.Information and coding(2 hours)
31.Rough path theory and applications(2 hours)
32. Advanced probability(3 hours)
33.Quantum information theory(3 hours)
34.Stochastic networks(2 hours)
35.Stochastic calculus and applications(3 hours)
36.Spread of epidemics and rumours(3 hours)
37.Interacting particle systems(3 hours)
38.Mathematics of operational research(3 hours)
39.Advanced financial models(3 hours)
40.Optimal investment(2 hours)
41.Applied statistics(3 hours)
42.Statistical theory(3 hours)
43.Actuarial statistics(2 hours)
44.Biostatistics(2 hours)
45.Statistical and population genetics (2 hours)
46.Applied multivariate analysis(2 hours)
47.Time series and Monte Carlo inference(3 hours)
48.Quantum field theory(3 hours)
49.Advanced quantum field theory(3 hours)
50.Symmetry and particle physics(3 hours)
51.Statistical field theory(2 hours)
52.The standard model(3 hours)
53. String theory(3 hours)
54.Supersymmetry and extra dimensions(3 hours)
55.Advanced cosmology(2 hours)
56.Solitons and instantons(2 hours)
57.Branes(2 hours)
58.Introduction to quantum computation(2 hours)
59.Quantum information, entanglement, and nonlocality(2 hours)
60.Control of quantum systems(2 hours)
61.General relativity(3 hours)
62.Cosmology(3 hours)
63.Black holes(3 hours)
64.Applications of differential geometry to physics(3 hours)
65.Quantum cosmology(2 hours)
66.Computer-aided geometric design(2 hours)
67.Approximation theory(3 hours)
68.Numerical solution of differential equations(3 hours)
69.Magnetohydrodynamics and turbulence(3 hours)
70.Astrophysical fluid dynamics(3 hours)
71.Structure and evolution of stars(3 hours)
72.Physical cosmology(3 hours)
73.Galaxies and dark matter(3 hours)
74.Stellar and planetary magnetic fields(3 hours)
75.Solidification of fluids(3 hours)
76.Nonlinear continuum mechanics(3 hours)
77.Fundamentals of atmosphere-ocean dynamics(3 hours)
78.Slow viscous flow(3 hours)
79.Hydrodynamic turbulence(2 hours)
80.Macroscopic behaviour of microscopic structures in fluid and solid media(2 hours)
81.Superfluid vortices(2 hours)
82.Acoustics(2 hours)
83.Geological fluid mechanics(3 hours)
84.Computational neuroscience(2 hours)
85.Bifurcations and instabilities in dissipative systems(3 hours)
86.Fourier transforms, their generalizations, and the imaging of the brain(2 hours)

The Faculty Board remind candidates and Tutors that requests for papers to be set on additional subjects should be sent to the Secretary of the Faculty Board at the Mathematics Faculty Office, Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, Wilberforce Road, not later than 3 November.