Open Problems


TitleAuthor(s)Imp.¹sort iconRec.²Area » Topic » SubtopicPosted by
$C^r$ Stability ConjecturePalis; Smale✭✭✭✭0Analysism n
Burnside problemBurnside✭✭✭✭0Group Theorydlh12
Schanuel's ConjectureSchanuel✭✭✭✭0Number Theory » Analytic N.T.Charles
The Hodge ConjectureHodge✭✭✭✭0Geometry » Algebraic GeometryCharles
Inverse Galois ProblemHilbert✭✭✭✭0Group Theorytchow
Twin prime conjecture✭✭✭✭0Number Theorykaushiks.nitt
Smooth 4-dimensional Schoenflies problemAlexander✭✭✭✭0Topologyrybu
Smooth 4-dimensional Poincare conjecturePoincare; Smale; Stallings✭✭✭✭0Topologyrybu
Slice-ribbon problemFox✭✭✭✭0Topologyrybu
Which homology 3-spheres bound homology 4-balls?Ancient/folklore✭✭✭✭0Topologyrybu
What is the homotopy type of the group of diffeomorphisms of the 4-sphere?Smale✭✭✭✭0Topologyrybu
Finite Lattice Representation Problem✭✭✭✭0Algebrawilliamdemeo
Which lattices occur as intervals in subgroup lattices of finite groups?✭✭✭✭0Group Theorywilliamdemeo
Birch & Swinnerton-Dyer conjecture✭✭✭✭0Number Theoryeyoong
Caccetta-Häggkvist ConjectureCaccetta; Häggkvist✭✭✭✭0Graph Theory » Directed Graphsfhavet
Closing Lemma for Diffeomorphism (Dynamical Systems)Charles Pugh✭✭✭✭0TopologyJailton Viana
Jacob Palis Conjecture(Finitude of Attractors)(Dynamical Systems)✭✭✭✭0TopologyJailton Viana
One-way functions exist✭✭✭✭0Theoretical Comp. Sci. » Complexityporton
Are there infinite number of Mersenne Primes?✭✭✭✭0Number Theory » Analytic N.T.kurtulmehtap
Cores of Cayley graphsSamal✭✭✭✭✭0Graph Theory » Coloring » HomomorphismsRobert Samal
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