The Faculty Board of Mathematics give notice that, in accordance with Regulations 16 and 17 for the Mathematical Tripos (Statutes and Ordinances, p. 351), there will be set in 2009 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. | Decision problems in group theory | (3 hours) |
| 2. | Topics in group theory | (3 hours) |
| 3. | Commutative algebra | (3 hours) |
| 4. | Character theory of finite groups | (3 hours) |
| 5. | Pro-p groups | (3 hours) |
| 6. | Finite dimensional Lie algebras and their representations | (3 hours) |
| 7. | Topics in Fourier analysis | (3 hours) |
| 8. | Analysis of operators | (3 hours) |
| 9. | Methods in analysis | (3 hours) |
| 10. | Introduction to functional analysis | (3 hours) |
| 11. | Topics in complex analysis | (3 hours) |
| 12. | Elliptic partial differential equations | (3 hours) |
| 13. | Additive combinatorics | (3 hours) |
| 14. | Combinatorics | (2 hours) |
| 15. | Combinatorics and percolation | (2 hours) |
| 16. | Algebraic topology | (3 hours) |
| 17. | Differential geometry | (3 hours) |
| 18. | Curves and abelian varieties | (3 hours) |
| 19. | Complex manifolds | (3 hours) |
| 20. | Four-manifolds | (3 hours) |
| 21. | Algebraic geometry | (3 hours) |
| 22. | Spectral geometry | (3 hours) |
| 23. | Category theory | (3 hours) |
| 24. | Topos theory | (3 hours) |
| 25. | Set theory and logic | (3 hours) |
| 26. | Elliptic curves | (3 hours) |
| 27. | Modular forms | (3 hours) |
| 28. | Local fields | (3 hours) |
| 29. | Stochastic calculus and applications | (3 hours) |
| 30. | Stochastic networks | (3 hours) |
| 31. | Advanced probability | (3 hours) |
| 32. | Advanced financial models | (3 hours) |
| 33. | Nonparametric statistical theory | (2 hours) |
| 34. | Statistical theory | (2 hours) |
| 35. | Mathematics of operational research | (3 hours) |
| 36. | Applied Bayesian statistics | (2 hours) |
| 37. | Actuarial statistics | (2 hours) |
| 38. | Applied statistics | (3 hours) |
| 39. | Optimal investment | (2 hours) |
| 40. | Time series and Monte Carlo inference | (3 hours) |
| 41. | Biostatistics | (2 hours) |
| 42. | Introduction to supersymmetry | (2 hours) |
| 43. | Statistical field theory and applications | (3 hours) |
| 44. | Quantum field theory | (3 hours) |
| 45. | Symmetry and particles | (3 hours) |
| 46. | String theory | (3 hours) |
| 47. | Standard model | (3 hours) |
| 48. | Advanced quantum field theory | (3 hours) |
| 49. | Solitons and instantons | (2 hours) |
| 50. | Quantum information theory | (3 hours) |
| 51. | Quantum computation | (2 hours) |
| 52. | Control of quantum systems | (2 hours) |
| 53. | Quantum information, entanglement, and nonlocality | (2 hours) |
| 54. | General relativity | (3 hours) |
| 55. | Cosmology | (3 hours) |
| 56. | Black holes | (3 hours) |
| 57. | Advanced cosmology | (2 hours) |
| 58. | Applications of differential geometry to physics | (3 hours) |
| 59. | Introduction to twistor theory | (2 hours) |
| 60. | Supergravity | (2 hours) |
| 61. | Quantum cosmology | (2 hours) |
| 62. | Astrophysical dynamics | (3 hours) |
| 63. | Structure and evolution of stars | (3 hours) |
| 64. | Astrophysical fluid dynamics | (3 hours) |
| 65. | Galaxies | (3 hours) |
| 66. | Physical cosmology | (3 hours) |
| 67. | Stellar and planetary magnetic fields | (3 hours) |
| 68. | Accretion discs | (2 hours) |
| 69. | Approximation theory | (3 hours) |
| 70. | Nonlinear patterns | (2 hours) |
| 71. | A unified approach to boundary value problems | (2 hours) |
| 72. | Numerical solution of differential equations | (3 hours) |
| 73. | Fluid dynamics of energy | (3 hours) |
| 74. | Slow viscous flow | (3 hours) |
| 75. | Biological physics | (3 hours) |
| 76. | Perturbation and stability methods | (3 hours) |
| 77. | The polar oceans and climate change | (2 hours) |
| 78. | Waves in fluids | (3 hours) |
| 79. | Geophysical and environmental fluid dynamics | (3 hours) |
| 80. | Geological fluid mechanics | (3 hours) |
| 81. | The fluid dynamics of swimming organisms | (2 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 9 November 2008.