Cambridge University Reporter


Mathematical Tripos, Part III, 2005: Notice

The Faculty Board of Mathematics give notice that, in accordance with Regulations 16 and 17 for the Mathematical Tripos (Statutes and Ordinances, pp. 321-22), there will be set in 2005 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. Topics in group theory(3 hours)
2. Lie algebras and representation theory(3 hours)
3. Representation theory of symmetric groups(3 hours)
4. Groups of lie type(3 hours)
5. Some inequalities(3 hours)
6. An introduction to functional analysis(3 hours)
7. Banach algebras(3 hours)
8. Calculus of variations(3 hours)
9. Ordinary differential equations in the complex domain(3 hours)
10. Extremal combinatorics(2 hours)
11. Graphs and hypergraphs(2 hours)
12. Probabilistic combinatorics(3 hours)
13. Algebraic topology(3 hours)
14. Algebraic geometry(3 hours)
15. Differential geometry(3 hours)
16. Dynamical systems(3 hours)
17. Topics in algebraic geometry(3 hours)
18. Fibre bundles(3 hours)
19. Geometrization of 3-manifolds(3 hours)
20. Spectral geometry(3 hours)
21. K3 surfaces(3 hours)
22. Stable homotopy theory(3 hours)
23. Deformation theory(3 hours)
24. Rational homotopy theory(3 hours)
25. Morse theory(2 hours)
26. Category theory(3 hours)
27. Set theory(3 hours)
28. Prime numbers(3 hours)
29. Diophantine analysis and transcendence theory(2 hours)
30. Cyclotomic fields(3 hours)
31. Class field theory(3 hours)
32. Elliptic curves(3 hours)
33. Information and coding(2 hours)
34. Advanced probability(3 hours)
35. Advanced financial models(3 hours)
36. Large deviations and queues(2 hours)
37. Quantum information theory(3 hours)
38. Stochastic calculus and applications(3 hours)
39. Poisson processes(2 hours)
40. Mathematics of operational research(3 hours)
41. Applied statistics(3 hours)
42. Statistical theory(3 hours)
43. Actuarial statistics(2 hours)
44. Biostatistics(2 hours)
45. Statistical and populations genetics(2 hours)
46. Applied multivariate analysis(2 hours)
47. Time series and Monte Carlo inference(3 hours)
48. Mathematical models in financial management(2 hours)
49. Quantum field theory(3 hours)
50. Symmetry and particle physics(3 hours)
51. Statistical field theory(2 hours)
52. Advanced quantum field theory(3 hours)
53. The standard model(3 hours)
54. String theory(3 hours)
55. Supersymmetry and extra dimensions(3 hours)
56. Solitons and instantons(2 hours)
57. Branes(2 hours)
58. Introduction to quantum computation(2 hours)
59. Quantum information science(2 hours)
60. General relativity(3 hours)
61. Cosmology(2 hours)
62. Black holes(3 hours)
63. Applications of differential geometry to physics(3 hours)
64. Advanced cosmology(3 hours)
65. Bifurcations and instabilities in dissipative systems(3 hours)
66. Computer-aided geometric design(2 hours)
67. Fourier transforms, their generalizations, and the imaging of the brain(2 hours)
68. Approximation theory(3 hours)
69. Numerical solution of differential equations(3 hours)
70. Structure and evolution of stars(3 hours)
71. Astrophysical fluid dynamics(3 hours)
72. Galaxies and dark matter(3 hours)
73. Accretion discs(2 hours)
74. Physical cosmology(3 hours)
75. Magnetohydrodynamics and turbulence(3 hours)
76. Dynamo theory(2 hours)
77. Slow viscous flow(3 hours)
78. Nonlinear continuum mechanics(3 hours)
79. Asymptotic methods in fluid mechanics(3 hours)
80. Fundamentals of atmosphere-ocean dynamics(3 hours)
81. Physiological fluid dynamics(2 hours)
82. Seismic waves(2 hours)
83. Superfluid vortices(2 hours)
84. Buoyancy effects in fluids(2 hours)
85. Noetherian algebras(3 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 4 November 2004.