Ring theory
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Algebraic number theory
Geometry of numbers
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Group cohomology
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Abelian variety
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John Tate (mathematician)
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Commutative algebra
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Emil Artin
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Outline of academic disciplines
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Class field theory
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Peter Gustav Lejeune Dirichlet
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Jean-Pierre Serre
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Teiji Takagi
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Modularity theorem
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Langlands program
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University of Tokyo
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Ideal class group
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Local field
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Dedekind domain
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Homological algebra
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Dirichlet's theorem on arithmetic progressions
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Algebraic integer
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Magma (computer algebra system)
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Factorization
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Galois theory
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Gaussian integer
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Ring (mathematics)
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Group theory
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Vector space
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Ideal (ring theory)
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Quadratic reciprocity
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Prime ideal
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Prime number
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Number theory
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Mathematics
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Legendre symbol
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Integer factorization
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Integer
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Grothendieck topology
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Field extension
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Fundamental theorem of arithmetic
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Fields Medal
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Field (mathematics)
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David Hilbert
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Conjecture
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Complex number
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Arithmetic
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Algebraic extension
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Alexander Grothendieck
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Algebraic geometry
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