The Faculty Board of Mathematics give notice that, in accordance with Regulations 16 and 17 for the Mathematical Tripos (Statutes and Ordinances, p. 337), there will be set in 2008 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. | Von Neumann algebra | (3 hours) |
| 2. | Decision problems in group theory | (3 hours) |
| 3. | Lie algebras and representation theory | (3 hours) |
| 4. | Modular representations of finite groups | (3 hours) |
| 5. | Calculus and algebra | (3 hours) |
| 6. | Representations of finite groups of lie type | (3 hours) |
| 7. | Commutative algebra | (3 hours) |
| 8. | Non-commutative algebras | (3 hours) |
| 9. | Topological groups | (3 hours) |
| 10. | Topics in infinite groups | (2 hours) |
| 11. | Introduction for functional analysis | (3 hours) |
| 12. | Complex differential equations | (3 hours) |
| 13. | Elliptic partial differential equations | (3 hours) |
| 14. | Combinatorics | (2 hours) |
| 15. | Combinatorial probability | (2 hours) |
| 16. | Arithmetic combinatorics | (2 hours) |
| 17. | The x-ray transform in geometry and dynamics | (3 hours) |
| 18. | Algebraic topology | (3 hours) |
| 19. | Differential geometry | (3 hours) |
| 20. | Spectral geometry | (3 hours) |
| 21. | Algebraic geometry | (3 hours) |
| 22. | Complex manifolds | (3 hours) |
| 23. | Algebraic groups | (3 hours) |
| 24. | Fibre bundles | (2 hours) |
| 25. | Algebraic cycles | (3 hours) |
| 26. | Category theory | (3 hours) |
| 27. | Set theory and logic | (3 hours) |
| 28. | Elliptic curves | (3 hours) |
| 29. | Local fields | (2 hours) |
| 30. | Ergodic theory | (3 hours) |
| 31. | The Iwasawa theory of elliptic curves with complex multiplication | (3 hours) |
| 32. | Algebraic number theory | (2 hours) |
| 33. | Modular forms and automorphic forms | (3 hours) |
| 34. | Advanced probability | (3 hours) |
| 35. | Stochastic networks | (3 hours) |
| 36. | Stochastic Loewner evolutions | (2 hours) |
| 37. | Stochastic calculus and applications | (3 hours) |
| 38. | Mathematics of operational research | (3 hours) |
| 39. | Advanced financial models | (3 hours) |
| 40. | Optimal investment | (2 hours) |
| 41. | Applied statistics | (3 hours) |
| 42. | Statistical theory | (3 hours) |
| 43. | Actuarial statistics | (2 hours) |
| 44. | Applied Bayesian statistics | (2 hours) |
| 45. | Introduction to data mining | (2 hours) |
| 46. | Biostatistics | (2 hours) |
| 47. | Time series and Monte Carlo inference | (3 hours) |
| 48. | Quantum field theory | (3 hours) |
| 49. | Symmetry and particle physics | (3 hours) |
| 50. | Statistical field theory and applications | (3 hours) |
| 51. | Advanced quantum field theory | (3 hours) |
| 52. | String theory | (3 hours) |
| 53. | Supersymmetry and extra dimensions | (3 hours) |
| 54. | Standard model | (3 hours) |
| 55. | Solitons and instantons | (2 hours) |
| 56. | Supergravity | (2 hours) |
| 57. | Introduction to quantum computation | (2 hours) |
| 58. | Quantum information, entanglement, and nonlocality | (2 hours) |
| 59. | Philosophy of classical and quantum mechanics | (3 hours) |
| 60. | Mathematical aspects of quantum information theory | (3 hours) |
| 61. | Quantum control | (2 hours) |
| 62. | Cosmology | (3 hours) |
| 63. | General relativity | (3 hours) |
| 64. | Advanced cosmology | (2 hours) |
| 65. | Applications of differential geometry to physics | (3 hours) |
| 66. | Black holes | (3 hours) |
| 67. | Quantum cosmology | (2 hours) |
| 68. | Introduction to twister theory | (2 hours) |
| 69. | Astrophysical fluid dynamics | (3 hours) |
| 70. | Structure and evolution of stars | (3 hours) |
| 71. | Accretion discs | (2 hours) |
| 72. | Galaxies | (3 hours) |
| 73. | Physical cosmology | (3 hours) |
| 74. | Stellar and planetary magnetic fields | (3 hours) |
| 75. | Approximation theory | (3 hours) |
| 76. | Brain imaging methods via electro- and magneto-encephalography | (2 hours) |
| 77. | Computer aided geometric design | (2 hours) |
| 78. | Symmetric dynamical systems | (3 hours) |
| 79. | Partial differential equations in modelling of semiconductors | (3 hours) |
| 80. | Numerical analysis of partial differential equations | (3 hours) |
| 81. | Fundamentals of atmosphere-ocean dynamics | (3 hours) |
| 82. | Perturbation and stability methods | (3 hours) |
| 83. | Soft matter | (3 hours) |
| 84. | The fluid dynamics of energy | (3 hours) |
| 85. | Macroscopic behaviour of microscopic structures in solid and fluid media | (2 hours) |
| 86. | Slow viscous flow | (2 hours) |
| 87. | Turbulence | (2 hours) |
| 88. | Waves in fluids | (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 9 November 2007.