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1 | Introduction to Lie Algebras and their Representations | |
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2 | Decision Problems in Group Theory | |
3 | Commutative Algebra | |
4 | Topics in Representation Theory | |
5 | Kac-Moody and Virasoro Algebras | |
6 | Semigroups of Operators | |
7 | Topics in Analysis | |
8 | Analytic Topics in Group Theory | |
9 | An Introduction to PDE's in Kinetic Theory | |
10 | Analysis of Boolean Functions | |
11 | Extremal Graph Theory | |
12 | Combinatorics | |
13 | Algebraic Topology | |
14 | Differential Geometry | |
15 | Morse Homology | |
16 | Hodge Theory | |
17 | Algebraic Geometry | |
18 | Spectral Geometry | |
19 | Galois Cohomology | |
20 | Category Theory | |
21 | Topos Theory | |
22 | Computable Function Theory | |
23 | Elliptic Curves | |
24 | Local Fields | |
25 | Algebraic Number Theory | |
26 | Modular Forms | |
27 | Stochastic Networks | |
28 | Advanced Probability | |
29 | Percolation and Related Topics | |
30 | Schramm-Loewner Evolutions | |
31 | Applied Statistics | |
32 | Statistical Theory | |
33 | Optimal Investment | |
34 | Time Series and Monte Carlo Inference | |
35 | Advanced Financial Models | |
36 | Applied Bayesian Statistics | |
37 | Biostatistics | |
38 | Stochastic Calculus and Applications | |
39 | Mathematics of Operational Research | |
40 | Supersymmetry | |
41 | Statistical Field Theory | |
42 | Quantum Field Theory | |
43 | Symmetries and Particles | |
44 | String Theory | |
45 | The Standard Model | |
46 | Advanced Quantum Field Theory | |
47 | Solitons and Instantons | |
48 | Quantum Information Theory | |
49 | Quantum Computation | |
50 | Control of Quantum Systems | |
51 | Quantum Foundations | |
52 | General Relativity | |
53 | Cosmology | |
54 | Advanced Cosmology | |
55 | Black Holes* | |
56 | Applications of Differential Geometry to Physics | |
57 | Stellar and Planetary Magnetic Fields | |
58 | Structure and Evolution of Stars | |
59 | Astrophysical Fluid Dynamics | |
60 | Galaxies | |
61 | Planetary System Dynamics | |
62 | Binary Stars | |
63 | Dynamics of Astrophysical Discs | |
64 | Physical Cosmology | |
65 | Numerical Solution of Differential Equations | |
66 | Reaction-Diffusion Equations | |
67 | Analytical Methods for Boundary Value Problems and Medical Imaging | |
68 | Free Boundary Problems and Applications | |
69 | Fluid Dynamics of Energy | |
70 | Slow Viscous Flow | |
71 | Perturbation and Stability Methods | |
72 | Geophysical and Environmental Fluid Dynamics | |
73 | Solidification of Fluids | |
74 | Soft Matter and Biological Physics | |
75 | Non-Newtonian Fluid Dynamics | |
76 | Set Theory |
* A late correction for Paper 55, question 1 can be found here (pdf file).