Further to their Notice of 24 October 2007 (p. 101), the Faculty Board of Mathematics give notice that there will be set in 2008 if candidates desire to present themselves therein, an additional paper as follows. The duration of the paper is shown beside it.
89. The polar oceans and climate change (reading course) (3 hours)
In accordance with Regulations 18 and 19 for the Mathematical Tripos (Statutes and Ordinances, p. 337), the Examiners give notice that a candidate may submit an essay on any one of the following topics:
1. Displacement energy
2. Crumpled hypersurfaces
3. Green rings and burnside rings
4. Buildings
5. Polynomial invariants of finite groups
6. Zoll surfaces
7. Floer homology of cotangent bundles
8. Groups of polynomial growth
9. Vinogradov's three-primes theorem
10. Fibrations
11. Shannon Whittaker reconstruction from irregular sampling
12. Convolution squares
13. Stable differential forms
14. K3 surfaces
15. Harmonic forms
16. Curves and Jacobians
17. The McKay correspondence
18. Etale cohomology
19. D-modules, representation theory, Hodge theory
20. Non-Abelian Hodge theory
21. Spectra, the Steenrod algebra, and the Sullivan conjecture
22. Wellquasiorders and betterquasiorders
23. Algebraic geometry and Hodge theory
24. Locally presentable and accessible categories
25. Categories of relations
26. Extremal hypergraph theory
27. Szemerédi's lemma
28. Proof theory
29. Operads
30. Growth in non-Abelian groups
31. Ramification theory
32. Spaces of valuations
33. A-infinity algebras and modules
34. Symplectic reflection algebras
35. Bieri-Strebel invariants and Bergman fans
36. Constructing elliptic curves of large rank
37. Markets with bubbles
38. Analysis of a large and complex data set
39. Convergence of Markov processes
40. Homogenization of diffusion processes
41. Stochastic flows
42. Unconventional optimal portfolio selection
43. Optimal contracting
44. The transportation polytope
45. Mechanism design
46. Large p, small n problems
47. Measurement error in classification problems
48. Topics in copula models
49. Treed models and Gaussian processes for classification
50. Advances in message-passing inference
51. Control schemes for wireless networks
52. Non-Riemannian geometry
53. Hunting the Higgs
54. Algebraic classification of the Weyl tensor
55. Relativistic fluid dynamics: physics for many different scales
56. Vortices
57. The large-N limit in quantum field theory?
58. Classical string motion on AdS5 × S5
59. Chiral symmetry, lattice fermions, and the Nielson-Ninomiya theorem
60. Conformal and superconformal symmetry in quantum field theory
61. Unitary fermi gas and the e-expansion
62. The thermal properties of topological quantum memories
63. Probability in the Everett interpretation
64. Does gravity imply a bound on information?
65. Accretion discs and planet formation
66. Low-frequency oscillations of rotating stars and giant planets
67. Rayleigh - Bénard convection
68. Localized pattern formation
69. Symplectic methods
70. Modern theory of orthogonal polynomials
71. The fluid dynamics and computation of Richtmyer-Meshkov instabilities
72. PH-splines
73. The semantics of densely triangulated surfaces
74. Estimating a simple conformal map from polygonal mesh
75. Turbulent magnetic fields
76. The self-sharpening of jets in planetary atmospheres and oceans
77. Mixing efficiency in stratified fluids
78. Natural ventilation
79. Modelling processes in geothermal power generation
80. Asymptotic expansions and the renormalization group
81. Skipping stones
82. Solidification of the inner core of the Earth
83. Carbon capture and storage
84. Elasticity and dynamics of vesicles
85. Microrheology
86. Modelling biological signalling pathways
87. Ribet's converse to Herbrand
88. Risk models with dividends
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 2008.
A candidate who proposes to submit an essay should inform the Chairman of Examiners, through his or her Director of Studies, on a form which will be provided, by 2 May 2008. Candidates should submit their essays, through their Directors of Studies, so as to reach the Chairman of Examiners not later than 2 May 2008.