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Algebra Number Theory

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Algebra Number Theory

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Research Frontiers in Diophantine Equations and Integer Solutions

Analysis of solvability and solution sets for polynomial equations over integers using algebraic and analytic techniques.

Rational Points on Higher-Genus Curves
Effective Bounds in Linear Recurrence Sequences
Elliptic Curves and Torsion Point Arithmetic
Diophantine Approximation in Dynamical Systems
Integer Solutions to Exponential Polynomial Equations
Mordell-Weil Groups and Descent Obstructions
Heights, Inequalities, and Integral Point Distribution
Thue Equations and Primitive Divisor Problems
p-Adic Methods in Solving Generalized Pell Equations
Abelian Varieties and the Shafarevich-Tate Group

All Algebra & Number Theory PhD categories