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Number Theory

Properties of integers, prime numbers, Diophantine equations.

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Combinatorics

Counting problems, graph theory, discrete structures.

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Graph Theory

Problems involving graphs, networks, and their properties.

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Algebra

Group theory, ring theory, field theory, and algebraic structures.

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Algebraic Geometry

Geometric objects defined by polynomial equations.

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Geometry

Euclidean and non-Euclidean geometry, geometric structures.

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Topology

Properties preserved under continuous deformations.

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Analysis

Limits, continuity, calculus, and function theory.

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Partial Differential Equations

PDEs and their applications in physics and geometry.

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Set Theory

Foundations of mathematics, infinite sets, and cardinality.

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Computer Science

Computational complexity, algorithms, and theoretical CS.

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Mathematical Physics

Problems at the intersection of mathematics and physics.

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UnsolvedMath

A curated repository of open mathematics problems from elementary to Millennium Prize level.

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  • A curated collection of unsolved mathematics problems

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