UnsolvedMath
ProblemsCategoriesSetsSearchActivity
powered by ulam.ai

Mathematics Problem Archive

Showing 1-2 of 2 problems

Status

All ProblemsOpenPartially SolvedSolved

Difficulty Level

All LevelsL1: TractableL2: IntermediateL3: AdvancedL4: ExpertL5: Millennium Prize

Category

All CategoriesNumber TheoryCombinatoricsGraph TheoryAlgebraAlgebraic GeometryGeometryTopologyAnalysisPartial Differential EquationsSet TheoryDynamical SystemsComputer ScienceMathematical PhysicsGroup TheoryLogicProbabilityMiscellaneous

Problem Set

All SetsMillennium Prize ProblemsHilbert's 23 ProblemsBen Green's 100 Open ProblemsDARPA's 23 Mathematical ChallengesSmale's ProblemsLandau's ProblemsHardy-Littlewood ConjecturesErdős ProblemsRichard Guy - A: Prime NumbersKourovka Notebook - New Problems, Issue 21Kirby's Problems in Low-Dimensional TopologyOpenGardenAMR Open Problem Lists
AMR-014-0015
Partially Solved

Algebraic Stories — Hilbert functions of fat points.

v1.3 research notes

Given a scheme of generic fat points $X \subset \mathbb{P}^{n_1-1}\times\ldots\times \mathbb{P}^{n_t-1}$, what is the multi-graded Hilbert function $\...

L4
Algebra
AMR-015-0011
Partially Solved

Green's conjecture

v1.3 research notes

For a non-hyperelliptic algebraic curve, is its Clifford index determined by the extent to which its canonical embedding has linear syzygies?...

L4
Algebra

UnsolvedMath

A curated archive of open, partially solved, and historically significant mathematics problems.

Dataset v1.3.0

Explore

  • All Problems
  • Categories
  • Millennium Prize

About

  • Research notes and status history remain available for solved problems

Resources

  • Clay Mathematics Institute
  • Wikipedia List
© 2026 UnsolvedMath. Built by ulam.aicommunity.