Cambridge University Reporter


Mathematical Tripos, Part III, 2008: Notices

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.