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Algebra Number Theory

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Algebra Number Theory

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Research Frontiers in Arithmetic Algebraic Geometry

Study of algebraic varieties over number fields combining algebraic geometry with arithmetic methods and height theory.

Arithmetic Heights and Rational Point Distribution
Étale Cohomology Beyond Classical Bounds
Motives and L-Function Arithmetic
Diophantine Geometry at Singular Loci
Galois Deformations in Higher Dimensions
Neron-Tate Theory and Transcendental Geometry
Effective Bounds on Integral Points
Arithmetic Intersection Theory on Stacks
p-Adic Hodge Theory and Period Rings
Arakelov Geometry and Height Inequalities

All Algebra & Number Theory PhD categories