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1 | Lie Algebras and their Representations | |
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3 | Representation Theory and Invariant Theory | |

4 | Commutative Algebra | |

5 | Introduction to Functional Analysis | |

6 | Elliptic Partial Differential Equations | |

7 | Mathematical Topics in Kinetic Theory | |

9 | Percolation on Graphs | |

10 | Ramsey Theory | |

11 | Combinatorics | |

12 | Spectral Geometry | |

13 | Algebraic Geometry | |

14 | Riemannian Geometry | |

15 | Symplectic Geometry | |

16 | Knots and 4-Manifolds | |

17 | Differential Geometry | |

18 | Abelian Varieties | |

19 | Algebraic Topology | |

20 | Hamiltonian Dynamical Systems | |

21 | Galois Cohomology | |

22 | Complex Manifolds | |

23 | Topos Theory | |

24 | Computable Function Theory | |

25 | Category Theory | |

26 | Introduction to Iwasawa Theory | |

27 | Elliptic Curves | |

28 | Local Fields | |

29 | Prime Numbers | |

30 | Percolation and Related Topics | |

31 | Random Matrices | |

32 | Stochastic Networks | |

33 | Advanced Probability | |

34 | Stochastic Calculus and Applications | |

35 | Topics on Conformal Invariance and Randomness | |

36 | Semiparametric Statistics | |

37 | Applied Statistics | |

38 | Time Series and Monte Carlo Inference | |

39 | Statistical Theory | |

40 | Actuarial Statistics | |

41 | Biostatistics | |

42 | Mathematics of Operational Research | |

43 | Advanced Financial Models | |

44 | Optimal Investment | |

45 | Supersymmetry | |

46 | Quantum Field Theory | |

47 | Solitons and Instantons | |

48 | Symmetries and Particles | |

49 | Statistical Field Theory | |

50 | Advanced Quantum Field Theory | |

51 | String Theory | |

52 | The Standard Model | |

53 | Cosmology | |

55 | Applications of Differential Geometry to Physics | |

56 | General Relativity | |

57 | Advanced Cosmology | |

58 | Black Holes | |

59 | Galactic Astronomy and Dynamics | |

60 | Origin and Evolution of Galaxies | |

61 | Dynamics of Astrophysical Discs | |

62 | Astrophysical Fluid Dynamics | |

63 | Structure and Evolution of Stars | |

64 | Planetary System Dynamics | |

65 | Quantum Information Theory | |

66 | Quantum Foundations | |

67 | Quantum Computation | |

68 | Distribution Theory and Applications | |

69 | Numerical Solution of Differential Equations | |

70 | Approximation Theory | |

72 | Fundamentals in Fluid Mechanics of Climate | |

73 | Turbulence | |

74 | Biological Physics | |

75 | Slow Viscous Flow | |

76 | Perturbation and Stability Methods | |

77 | Convection | |

78 | Wave Propagation and Scattering | |

79 | Advanced Topics in Fluid Mechanics of Climate | |

80 | The Physics of the Polar Oceans, Sea Ice and Climate Change | |

81 | Algebraic Number Theory | |

82 | Fourier Analysis | |

83 | Set Theory |