Vertex Algebras
The Monster Group
j-Invariant Expansions
McKay-Thompson Series
Moonshine Module V♮
Other Sporadic Groups
Umbral Moonshine
Mock Modular Forms
Quantum Moonshine
Chiral Algebras
D-Modules
Geometric Langlands
Factorization Algebras
Modular Forms
L-Functions
Galois Representations
Arithmetic Geometry
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14. Rationality and Finiteness
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16. Computational Aspects