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

103 | Representation Theory | |

104 | Infinite Groups and Decision Problems | |

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 | |

111 | Techniques in Non-Abelian Additive Combinatorics | |

112 | Probabilistic Combinatorics and its Applications | |

113 | Algebraic Geometry | |

114 | Algebraic Topology | |

115 | Differential Geometry | |

116 | Morse Theory | |

117 | Spectral Geometry | |

118 | Complex Manifolds | |

119 | Introduction to Category Theory | |

120 | Computability and Logic | |

121 | Topics in Set Theory | |

122 | Topics in Category Theory | |

123 | Algebraic Number Theory | |

124 | Probabilistic Number Theory | |

125 | Elliptic Curves | |

126 | Modular Forms | |

127 | Homotopy Theory | |

201 | Advanced Probability | |

202 | Stochastic Calculus | |

203 | Schramm-Loewner Evolutions | |

204 | Percolation and Related Topics | |

205 | Modern Statistical Methods | |

206 | Applied Statistics | |

207 | Biostatistics | |

208 | Time Series and Monte Carlo Inference | |

209 | Statistics for Stochastic Processes | |

210 | Topics in Statistical Theory | |

211 | Advanced Financial Models | |

212 | Mathematics of Operational Research | |

213 | Stochastic Networks | |

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 and Extra Dimensions | |

308 | Classical and Quantum Solitons | |

309 | General Relativity | |

310 | Cosmology | |

311 | Black Holes | |

312 | Advanced Cosmology | |

313 | Applications of Differential Geometry to Physics | |

314 | Astrophysical Fluid Dynamics | |

315 | Extrasolar Planets: Atmospheres and Interiors | |

316 | Planetary System Dynamics | |

317 | Structure and Evolution of Stars | |

318 | Magnetohydrodynamics | |

320 | Galactic Astronomy and Dynamics | |

321 | Dynamics of Astrophysical Discs | |

322 | Binary Stars | |

323 | Quantum Information Theory | |

324 | Quantum Computation | |

325 | Set-Valued Analysis and Optimisation | |

326 | Inverse Problems | |

327 | Distribution Theory and Applications | |

328 | Boundary Value Problems for Linear PDEs | |

329 | Slow Viscous Flow | |

330 | Fluid Dynamics of the Environment | |

331 | Hydrodynamic Stability | |

332 | Fluid Dynamics of the Solid Earth | |

333 | Fluid Dynamics of Climate | |

334 | Active Biological Fluids | |

335 | Direct and Inverse Scattering of Waves | |

336 | Perturbation Methods |