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Algebra Number Theory

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Algebra Number Theory

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Research Frontiers in Galois Theory and Field Extensions

Exploration of Galois groups, inverse Galois problems, and absolute Galois group structures in arithmetic geometry.

Absolute Galois Groups of Number Fields
Inverse Galois Problem in Arithmetic Topology
Galois Cohomology and Étale Fundamental Groups
Ramification and Wild Extensions in Characteristic p
Galois Deformations and Modular Forms
Geometric Galois Actions on Curves and Jacobians
Differential Galois Theory and Functional Equations
Galois Descent and Algebraic Cycles
Tame and Wild Inertia in Local Fields
Galois Orbits in Arithmetic Dynamics

All Algebra & Number Theory PhD categories