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| 101 | Commutative Algebra | |
| 102 | Lie Algebras and Their Representations | |
| 105 | Analysis of Partial Differential Equations | |
| 106 | Functional Analysis | |
| 107 | Elliptic Partial Differential Equations | |
| 109 | Combinatorics | |
| 113 | Algebraic Geometry | |
| 114 | Algebraic Topology | |
| 115 | Differential Geometry | |
| 116 | Large Cardinals | |
| 118 | Complex Manifolds | |
| 119 | Category Theory | |
| 120 | Logic and Computability | |
| 122 | Extremal and Probabalistic Combinatorics | |
| 123 | Algebraic Number Theory | |
| 124 | Introduction to Computational Complexity | |
| 125 | Elliptic Curves | |
| 126 | Abelian Varieties | |
| 130 | Ramsey Theory | |
| 133 | Geometric Group Theory | |
| 136 | Local Fields | |
| 137 | Modular Forms | |
| 142 | Characteristic Classes and K-Theory | |
| 144 | Model Theory | |
| 151 | Group Cohomology | |
| 154 | Introduction to Non-Linear Analysis | |
| 160 | Representation Theory of Symmetric Groups | |
| 201 | Advanced Probability | |
| 202 | Stochastic Calculus and Applications | |
| 203 | Schramm-Loewner Evolutions | |
| 205 | Modern Statistical Methods | |
| 207 | Statistics in Medicine | |
| 208 | Concentration Inequalities | |
| 209 | Lattice Models | |
| 210 | Topics in Statistical Theory | |
| 211 | Advanced Financial Models | |
| 216 | Bayesian Modelling and Computation | |
| 218 | Statistical Learning in Practice | |
| 221 | Causal Inference | |
| 224 | Information Theory | |
| 225 | Functional Data Analysis | |
| 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 Duality | |
| 309 | General Relativity | |
| 310 | Cosmology | |
| 311 | Black Holes | |
| 312 | Field Theory in Cosmology | |
| 313 | Solitons, Instantons and Geometry | |
| 314 | Astrophysical Fluid Dynamics | |
| 315 | Extrasolar Planets: Atmospheres and Interiors | |
| 317 | Structure and Evolution of Stars | |
| 319 | Unbounded Operators and Semigroups | |
| 320 | Modern Stellar Dynamics | |
| 321 | Dynamics of Astrophysical Discs | |
| 324 | Quantum Computation | |
| 329 | Slow Viscous Flow | |
| 331 | Hydrodynamic Stability | |
| 333 | Fluid Dynamics of Climate | |
| 335 | Direct and Inverse Scattering of Waves | |
| 336 | Perturbation Methods | |
| 337 | Applications of Quantum Field Theory | |
| 339 | Topics in Convex Optimisation | |
| 341 | Numerical Solution of Differential Equations | |
| 342 | Topological Quantum Matter | |
| 344 | Theoretical Physics of Soft Condensed Matter | |
| 347 | Astrophysical Black Holes | |
| 349 | The Life and Death of Galaxies | |
| 352 | Non-Newtonian Fluid Mechanics | |
| 354 | Gauge/Gravity Duality | |
| 355 | Biological Physics and Fluid Dynamics | |
| 356 | Stochastic Processes in Biology |