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

3 | Representation Theory | |

4 | Homological and Homotopical Algebra | |

5 | Analysis of Partial Differential Equations | |

6 | Functional Analysis | |

7 | Semigroups of Operators | |

8 | Topics in Kinetic Theory | |

9 | Elliptic PDEs | |

10 | Introduction to Nonlinear Wave Equations | |

11 | Combinatorics | |

12 | Techniques in Combinatorics | |

13 | Probabilistic Combinatorics | |

14 | Topics in Ergodic Theory | |

15 | Algebraic Topology | |

16 | Algebraic Geometry | |

17 | Differential Geometry | |

18 | Complex Manifolds | |

19 | Homotopy Theory | |

20 | Topics in Algebraic Geometry | |

21 | Geometric Group Theory | |

22 | Category Theory | |

23 | Model Theory | |

24 | Topics in Set Theory | |

25 | Computability and Logic | |

26 | Local Fields | |

27 | Elementary Methods in Analytic Number Theory | |

28 | Algebraic Number Theory | |

29 | Advanced Probability | |

30 | Stochastic Calculus and Applications | |

31 | Percolation and Related Topics | |

32 | Modern Statistical Methods | |

33 | Applied Statistics | |

34 | Actuarial Statistics | |

35 | Biostatistics | |

36 | Topics in Statistical Theory | |

37 | Time Series and Monte Carlo Inference | |

38 | Mathematics of Operational Research | |

39 | Stochastic Networks | |

40 | Advanced Financial Models | |

41 | Optimal Investment | |

42 | Contest Theory | |

43 | Quantum Field Theory | |

44 | Symmetries, Fields and Particles | |

45 | Statistical Field Theory | |

46 | Advanced Quantum Field Theory | |

47 | The Standard Model | |

48 | Supersymmetry and Extra Dimensions | |

49 | String Theory | |

50 | Classical and Quantum Solitons | |

52 | General Relativity | |

53 | Cosmology | |

54 | Black Holes | |

55 | Advanced Cosmology | |

56 | Applications of Differential Geometry to Physics | |

57 | Astrophysical Fluid Dynamics | |

58 | Structure and Evolution of Stars | |

59 | Extrasolar Planets - Atmospheres and Interiors | |

60 | Magnetohydrodynamics | |

61 | The Origin and Evolution of Galaxies | |

62 | Galactic Astronomy and Dynamics | |

63 | Planetary System Dynamics | |

64 | Dynamics of Astrophysical Discs | |

65 | Binary Stars | |

66 | Quantum Information Theory | |

67 | Advanced Quantum Information Theory | |

68 | Numerical Solution of Differential Equations | |

69 | Approximation Theory | |

70 | Boundary Value Problems for Linear PDEs | |

71 | Distribution Theory and Applications | |

72 | Perturbation and Stability Methods | |

73 | Slow Viscous Flow | |

74 | Fluid Dynamics of the Environment | |

75 | Biological Physics | |

76 | Direct and Inverse Scattering of Waves | |

77 | Sound Generation and Propagation | |

78 | Fluid Dynamics of the Solid Earth | |

79 | Fluid Dynamics of Climate | |

80 | Complex and Biological Fluids | |

81 | Quantum Condensed Matter Field Theory |