Cambridge University Reporter

Mathematical Tripos, Part III, 2005-06: Notice

In accordance with Regulation 18 for the Mathematical Tripos (Statutes and Ordinances, p. 330), the Examiners give notice that a candidate may submit an essay on any one of the following additional topics:

  1. Unique ergodicity of horocycle flows
  2. Ergodicity of geodesic flows on manifolds of negative curvature
  3. Knot theory
  4. Constructibility
  5. Large deviations and rough path theory
  6. Integration theory for rough paths
  7. Random walks on zero-automatic pairs
  8. Melt transport in the mantle
  9. Viscous capillary pinch-off
  10. Accretion discs and planet formation
  11. Spontaneous symmetry breaking and phase transitions in two dimensions
  12. Causal sets in quantum gravity
  13. Network coding for information multicasting
  14. The Blandford-Znajek mechanism and black hole electrodynamics
  15. Large groups and infinite virtual first Betti number
  16. Automorphic functions
  17. Non-standard analysis and Banach spaces
  18. The Weil descent attack on elliptic curve cryptography
  19. Quantum groups and their representation theory
  20. Coding Banach spaces, classification and the richness of the class of hereditarily indecomposable Banach spaces
  21. Adaptive learning techniques for the ultra-fast control of quantum dynamics using photonic reagents
  22. Topological K-Theory and applications
  23. Nonequilibrium work relations
  24. Characteristic classes and exotic spheres

Candidates are reminded that they are required to return their form giving choices of examination papers and essay (if any) to the Faculty Office, Room B1.29, Centre for Mathematical Sciences, Wilberforce Road, by Monday, 8 May 2006. PLEASE NOTE THAT THIS DEADLINE WILL BE STRICTLY ADHERED TO.