The Faculty Board of Mathematics give notice that, in accordance with Regulations 16 and 17 for the Mathematical Tripos (Statutes and Ordinances, p. 327), there will be set in 2007 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. Smooth representation theory of p-adic groups | (3 hours) |
| 2. Reading course on quantum groups | (3 hours) |
| 3. Modular representations of finite groups | (3 hours) |
| 4. Finite dimensional Lie algebras and their representations | (3 hours) |
| 5. Pro-p groups | (3 hours) |
| 6. Noetherian algebras | (3 hours) |
| 7. Topics in group theory | (3 hours) |
| 8. Introduction to functional analysis | (3 hours) |
| 9. Isoperimetry and concentration of measure | (3 hours) |
| 10. Analysis of operators | (3 hours) |
| 11. Riemann surfaces and discrete groups | (3 hours) |
| 12. Combinatorics | (2 hours) |
| 13. Combinatorial probability | (2 hours) |
| 14. Ramsey theory | (2 hours) |
| 15. Differential geometry | (3 hours) |
| 16. Algebraic topology | (3 hours) |
| 17. Toric geometry | (3 hours) |
| 18. Geometry of surfaces | (3 hours) |
| 19. Cobordism | (3 hours) |
| 20. Spectral geometry | (3 hours) |
| 21. Birational geometry | (3 hours) |
| 22. Complex manifolds | (3 hours) |
| 23. Algebraic curves | (3 hours) |
| 24. Three-manifolds | (2 hours) |
| 25. Category theory | (3 hours) |
| 26. Set theory and logic | (3 hours) |
| 27. Elliptic curves | (3 hours) |
| 28. Local fields | (2 hours) |
| 29. Modular forms | (3 hours) |
| 30. Additive number theory | (3 hours) |
| 31. Information and coding | (2 hours) |
| 32. Rough path theory and applications | (2 hours) |
| 33. Advanced probability | (3 hours) |
| 34. Quantum information theory | (3 hours) |
| 35. Stochastic networks | (3 hours) |
| 36. Stochastic calculus and applications | (3 hours) |
| 37. Spread of epidemics and rumours | (2 hours) |
| 38. Interacting particle systems | (3 hours) |
| 39. Stochastic Loewner evolutions | (2 hours) |
| 40. Mathematics of operational research | (3 hours) |
| 41. Advanced financial models | (3 hours) |
| 42. Optimal investment | (2 hours) |
| 43. Applied statistics | (3 hours) |
| 44. Statistical theory | (2 hours) |
| 45. Actuarial statistics | (2 hours) |
| 46. Biostatistics | (2 hours) |
| 47. Applied multivariate analysis | (2 hours) |
| 48. Time series and Monte Carlo inference | (3 hours) |
| 49. Nonparametric statistical theory | (2 hours) |
| 50. Quantum field theory | (3 hours) |
| 51. Advanced quantum field theory | (3 hours) |
| 52. Symmetry and particle physics | (3 hours) |
| 53. Standard model | (3 hours) |
| 54. String theory | (3 hours) |
| 55. Supersymmetry and extra dimensions | (3 hours) |
| 56. Solitons and instantons | (2 hours) |
| 57. Supergravity | (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. Advanced cosmology | (2 hours) |
| 65. Astrophysical fluid dynamics | (3 hours) |
| 66. Structure and evolution of stars | (3 hours) |
| 67. Physical cosmology | (3 hours) |
| 68. Stellar and planetary magnetic fields | (3 hours) |
| 69. Astrophysical dynamics | (3 hours) |
| 70. Accretion discs | (2 hours) |
| 71. Numerical solution of differential equations | (3 hours) |
| 72. Computer-aided geometric design | (2 hours) |
| 73. Computational neuroscience | (2 hours) |
| 74. Systems biology | (2 hours) |
| 75. Magnetohydrodynamics and turbulence | (2 hours) |
| 76. Nonlinear continuum mechanics | (3 hours) |
| 77. Fundamentals of atmosphere-ocean dynamics | (3 hours) |
| 78. Slow viscous flow | (3 hours) |
| 79. Perturbation and stability methods | (3 hours) |
| 80. Classical wave scattering | (2 hours) |
| 81. The fluid dynamics of swimming organisms | (2 hours) |
| 82. Polar oceanography | (2 hours) |
| 83. Environmental fluid dynamics | (2 hours) |
| 84. Quantum fluids | (2 hours) |
| 85. Symmetric dynamical systems | (3 hours) |
| 86. Imaging, boundary value problems, and integrability | (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 2 November 2006.