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101 | Commutative Algebra | |
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102 | Lie Algebras and their Representations | |

103 | Representation Theory | |

105 | Analysis of Partial Differential Equations | |

106 | Functional Analysis | |

107 | Elliptic Partial Differential Equations | |

108 | Topics in Ergodic Theory | |

109 | Combinatorics | |

110 | Extremal Graph Theory | |

113 | Algebraic Geometry | |

114 | Algebraic Topology | |

115 | Differential Geometry | |

118 | Complex Manifolds | |

119 | Category Theory | |

121 | Topics in Set Theory | |

123 | Algebraic Number Theory | |

130 | Ramsey Theory | |

135 | Logic | |

137 | Modular Forms and L-Functions | |

138 | Modular Representation Theory | |

139 | Positivity in Algebraic Geometry | |

140 | Symplectic Geometry | |

141 | 3-Manifolds | |

142 | Characteristic Classes and K-Theory | |

201 | Advanced Probability | |

202 | Stochastic Calculus and Applications | |

203 | Schramm-Loewner Evolutions | |

205 | Modern Statistical Methods | |

207 | Statistics in Medicine | |

210 | Topics in Statistical Theory | |

211 | Advanced Financial Models | |

213 | Stochastic Networks | |

214 | Percolation and Random Walks on Graphs | |

216 | Bayesian Modelling and Computation | |

218 | Statistical Learning in Practice | |

219 | Astrostatistics | |

301 | Quantum Field Theory | |

302 | Symmetries, Fields and Particles | |

303 | Statistical Field Theory | |

304 | Advanced Quantum Field Theory | |

305 | The Standard Model | |

306 | String Theory | |

307 | Supersymmetry | |

308 | Classical and Quantum Solitons | |

309 | General Relativity | |

310 | Cosmology | |

311 | Black Holes | |

312 | Advanced Cosmology | |

314 | Astrophysical Fluid Dynamics | |

315 | Extrasolar Planets: Atmospheres and Interiors | |

316 | Planetary System Dynamics | |

317 | Structure and Evolution of Stars | |

321 | Dynamics of Astrophysical Discs | |

323 | Quantum Information Theory | |

326 | Inverse Problems | |

327 | Distribution Theory and Applications | |

329 | Slow Viscous Flow | |

331 | Hydrodynamic Stability | |

332 | Fluid Dynamics of the Solid Earth | |

333 | Fluid Dynamics of Climate | |

335 | Direct and Inverse Scattering of Waves | |

336 | Perturbation Methods | |

338 | Optical and Infrared Astronomical Telescopes and Instruments | |

339 | Topics in Convex Optimisation | |

340 | Topics in Mathematics of Information | |

341 | Numerical Solution of Differential Equations | |

344 | Theoretical Physics of Soft Condensed Matter | |

345 | Environmental Fluid Dynamics |