Browse by Category
Explore unsolved problems organized by mathematical domain
Number Theory
Properties of integers, prime numbers, Diophantine equations.
Combinatorics
Counting problems, graph theory, discrete structures.
Graph Theory
Problems involving graphs, networks, and their properties.
Algebra
Group theory, ring theory, field theory, and algebraic structures.
Algebraic Geometry
Geometric objects defined by polynomial equations.
Geometry
Euclidean and non-Euclidean geometry, geometric structures.
Topology
Properties preserved under continuous deformations.
Analysis
Limits, continuity, calculus, and function theory.
Partial Differential Equations
PDEs and their applications in physics and geometry.
Set Theory
Foundations of mathematics, infinite sets, and cardinality.
Dynamical Systems
Problems about long-term behavior of deterministic systems, Hamiltonian dynamics, and periodic orbits.
Computer Science
Computational complexity, algorithms, and theoretical CS.
Mathematical Physics
Problems at the intersection of mathematics and physics.
Group Theory
Problems about groups, group actions, representations, and related algebraic structures.
Logic
Problems in mathematical logic, model theory, proof theory, and finite model theory.
Probability
Problems involving probability theory, stochastic processes, and random structures.
Miscellaneous
Problems whose source classification does not fit the main mathematical categories.