*All papers are copyright by the University of Cambridge and may not be reproduced without permission.*

*The papers are stored as PDF files, which can be viewed and printed using the Adobe Acrobat viewer. This program is available free of charge from the Adobe web site.*

*Click on the links below to display the files:*

1 | Introduction to Lie Algebras and their Representations | |
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2 | Decision Problems in Group Theory | |

3 | Commutative Algebra | |

4 | Topics in Representation Theory | |

5 | Kac-Moody and Virasoro Algebras | |

6 | Semigroups of Operators | |

7 | Topics in Analysis | |

8 | Analytic Topics in Group Theory | |

9 | An Introduction to PDE's in Kinetic Theory | |

10 | Analysis of Boolean Functions | |

11 | Extremal Graph Theory | |

12 | Combinatorics | |

13 | Algebraic Topology | |

14 | Differential Geometry | |

15 | Morse Homology | |

16 | Hodge Theory | |

17 | Algebraic Geometry | |

18 | Spectral Geometry | |

19 | Galois Cohomology | |

20 | Category Theory | |

21 | Topos Theory | |

22 | Computable Function Theory | |

23 | Elliptic Curves | |

24 | Local Fields | |

25 | Algebraic Number Theory | |

26 | Modular Forms | |

27 | Stochastic Networks | |

28 | Advanced Probability | |

29 | Percolation and Related Topics | |

30 | Schramm-Loewner Evolutions | |

31 | Applied Statistics | |

32 | Statistical Theory | |

33 | Optimal Investment | |

34 | Time Series and Monte Carlo Inference | |

35 | Advanced Financial Models | |

36 | Applied Bayesian Statistics | |

37 | Biostatistics | |

38 | Stochastic Calculus and Applications | |

39 | Mathematics of Operational Research | |

40 | Supersymmetry | |

41 | Statistical Field Theory | |

42 | Quantum Field Theory | |

43 | Symmetries and Particles | |

44 | String Theory | |

45 | The Standard Model | |

46 | Advanced Quantum Field Theory | |

47 | Solitons and Instantons | |

48 | Quantum Information Theory | |

49 | Quantum Computation | |

50 | Control of Quantum Systems | |

51 | Quantum Foundations | |

52 | General Relativity | |

53 | Cosmology | |

54 | Advanced Cosmology | |

55 | Black Holes* | |

56 | Applications of Differential Geometry to Physics | |

57 | Stellar and Planetary Magnetic Fields | |

58 | Structure and Evolution of Stars | |

59 | Astrophysical Fluid Dynamics | |

60 | Galaxies | |

61 | Planetary System Dynamics | |

62 | Binary Stars | |

63 | Dynamics of Astrophysical Discs | |

64 | Physical Cosmology | |

65 | Numerical Solution of Differential Equations | |

66 | Reaction-Diffusion Equations | |

67 | Analytical Methods for Boundary Value Problems and Medical Imaging | |

68 | Free Boundary Problems and Applications | |

69 | Fluid Dynamics of Energy | |

70 | Slow Viscous Flow | |

71 | Perturbation and Stability Methods | |

72 | Geophysical and Environmental Fluid Dynamics | |

73 | Solidification of Fluids | |

74 | Soft Matter and Biological Physics | |

75 | Non-Newtonian Fluid Dynamics | |

76 | Set Theory |

* A late correction for Paper 55, question 1 can be found here (pdf file).