Cambridge University Reporter


NOTICES BY FACULTY BOARDS, ETC.

Mathematical Tripos, Part III, 2009: Notice

In accordance with Regulations 18 and 19 for the Mathematical Tripos (Statutes and Ordinances, p. 351), the Examiners give notice that a candidate may submit an essay on any one of the following topics:

1. Green rings and Burnside rings
2. Representations of quantum groups
3. Modular representations of finite groups of Lie type in the defining characteristic
4. The multiplication table
5. Digits of primes
6. The Tits alternative
7. Quantum cohomology
8. Small four-manifolds
9. Shannon Whittaker reconstruction from irregular sampling
10. Convolution squares
11. Calabi-Yau manifolds and mirror symmetry
12. Analytic methods in algebraic geometry
13. Twisted Alexander polynomials
14. Hecke algebras in topology
15. Canonical subgroups of elliptic curves
16. Interpolating sequences
17. Dirac operators
18. Atiyah-Singer index theorem
19. Yau's solution of the Calabi conjecture
20. Coherence
21. Presentations
22. Realizability toposes
23. Class field theory (cohomological approach)
24. Complex multiplication
25. p-adic uniformization
26. Lagrangians of hypergraphs
27. Hereditary properties
28. Derived category, t-structures, stability conditions
29. Cochains
30. Non-Abelian Hodge theory
31. Geometric invariant theory
32. Descent by 3-isogeny on an elliptic curve
33. Solving quadratic forms over the rationals
34. The black hole stability problem
35. Wavelet thresholding
36. Graphical identification of causal effects
37. Statistical analysis of a wave-forecasting system
38. Optimization and stochastic models for communication networks
39. BSDEs in financial mathematics
40. Derivative-free methods for constrained nonlinear stochastic optimization
41. Fractional Lévy processes, solar wind, and the magnetosphere
42. Internal diffusion limited aggregation
43. The time of ruin in risk theory
44. One step estimators in high-dimensional statistical models
45. Semiparametric statistical models
46. Semidefinite programming
47. Consensus and rendezvous problems
48. Jet noise
49. Global modes in shear flow
50. Black holes in anti-de Sitter spacetime
51. Highly oscillatory quadrature
52. Numerical methods for differential equations in Lie groups
53. The effect of gravitational-radiation recoil on the accretion disc in active galactic nuclei
54. Constraining cosmological inflation
55. Asymptotics beyond all orders
56. Finite-time singularities
57. Neutrino oscillations
58. Integrable models in classical mechanics
59. Instabilities of rotating stars
60. Accretion from a disc on to the surface of a compact star
61. Affine geometry in mirror symmetry
62. Group field theories in discrete quantum gravity
63. Greedy algorithms for the n-term approximation
64. Wave scattering from rough surfaces
65. The Backus-Gilbert method for the solution of inverse problems
66. Quantum communication
67. Black holes as fast scramblers
68. Non-locality beyond quantum theory
69. The influence of magnetic helicity conservation on equilibration of mean-field dynamos
70. Models of geomagnetic reversals
71. Synchronization
72. Supersymmetric quantum mechanics and integrability
73. Jets and turbulence in atmosphere and ocean
74. Fluid mechanics of mantle plumes
75. Viscous capillary pinch-off
76. BPS states in supersymmetric gauge theories

Candidates are reminded that they may request leave to submit an essay on a topic other than those given above provided that the request is made, through their Director of Studies, so as to reach the Secretary of the Faculty Board, Mathematics Faculty Office, Centre for Mathematical Sciences, Wilberforce Road, not later than 1 February 2009.

A candidate who proposes to submit an essay should inform the Chairman of Examiners, through her or his Director of Studies, on a form which will be provided, by 1 May 2009. Candidates should submit their essay, through their Director of Studies, so as to reach the Chairman of Examiners not later than 1 May 2009.