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1 | Commutative Algebra | |
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2 | Lie Algebras and their Representations | |

3 | Representation Theory and Quivers | |

4 | Topics in Infinite Groups | |

5 | Analysis of Partial Differential Equations | |

6 | Functional Analysis | |

7 | Topics in Kinetic Theory | |

8 | Analysis on Polish Spaces | |

9 | Ramsey Theory | |

10 | Algebraic Methods in Incidence Theory | |

11 | Extremal and Probabilistic Combinatorics | |

12 | Algebraic Topology | |

13 | Algebraic Geometry | |

14 | 3-Manifolds | |

15 | Differential Geometry | |

16 | Symplectic Topology | |

17 | Complex Manifolds | |

18 | Category Theory | |

19 | Topics in Set Theory | |

20 | Topos Theory | |

21 | Computability and Logic | |

22 | Elliptic Curves | |

23 | Modular Forms | |

24 | Algebraic Number Theory | |

25 | The Riemann Zeta Function | |

26 | Advanced Probability | |

27 | Stochastic Calculus and Applications | |

28 | Percolation and Related Topics | |

29 | Schramm-Loewner Evolutions | |

30 | Statistical Theory | |

31 | Actuarial Statistics | |

32 | Biostatistics | |

33 | Applied Statistics | |

34 | Nonparametric Statistical Theory | |

35 | Applied Bayesian Statistics | |

36 | Time Series and Monte Carlo Inference | |

37 | Mathematics of Operational Research | |

38 | Advanced Financial Models | |

39 | Designing Online Contests | |

40 | Quantum Field Theory | |

41 | Symmetries, Fields and Particles | |

42 | Statistical Field Theory | |

43 | Supersymmetry | |

44 | Advanced Quantum Field Theory | |

45 | The Standard Model | |

46 | String Theory | |

47 | Classical and Quantum Solitons | |

48 | Advanced String Theory | |

49 | Cosmology | |

50 | General Relativity | |

51 | Applications of Differential Geometry to Physics | |

52 | Black Holes | |

53 | Advanced Cosmology | |

54 | Astrophysical Fluid Dynamics | |

55 | Structure and Evolution of Stars | |

56 | The Origin and Evolution of Galaxies | |

57 | Dynamics of Astrophysical Discs | |

58 | Galactic Astronomy and Dynamics | |

59 | Planetary System Dynamics | |

60 | Quantum Information Theory | |

61 | Quantum Computation | |

62 | Quantum Foundations | |

63 | Advanced Quantum Information Theory | |

64 | Measure and Image | |

65 | Convex Optimisation with Applications in Image Processing | |

66 | Numerical Solutions of Differential Equations | |

67 | Distribution Theory and Applications | |

68 | Image Processing - Variational and PDE Methods | |

69 | The Unified Method for Partial Differential Equations and Medical Imaging | |

70 | Fluid Dynamics of the Environment | |

71 | Biological Physics | |

72 | Direct and Inverse Scattering of Waves | |

73 | Slow Viscous Flow | |

74 | Perturbation and Stability Methods | |

75 | Sound Generation and Propagation | |

76 | Convection | |

77 | Complex and Biological Fluids | |

78 | Fluid Dynamics of Energy Systems | |

79 | Additive Combinatorics | |

81 | Quantum Condensed Matter Field Theory |