Top Open Problems
Provisional editorial order for Top Open Problems: Millennium Prize Problems first, followed by assessed difficulty tiers; the unassessed remainder keeps its previous catalogue order. About rankings
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- Math-5151 The resolved four-ruling-lines degeneration and an explicit liaison audit
- Math-5152 An exact ACM certificate for reverse-lexicographic gins of locally Cohen-Macaulay space curves
- Math-5153 The generic very-compressed point for Hilbert function (1,4,10,a)
- Math-5154 A detachment obstruction and three-generator threshold for generic embedded points
- Math-5155 What aggregate V1 suppression cannot identify
- Math-5156 A space-time exclusion certificate for visual-cortical route attribution
- Math-5157 A rate-delay abstraction certificate for filtered spiking circuits
- Math-5158 V1 saliency context and a delay margin for symmetry breaking
- Math-5159 When agreement is a complement, and when extra modalities help
- Math-5160 A clock-risk audit of the square-root distributed-synchrony code
- Math-5161 Generic views, Bayesian flexibility, and a falsifiable invariance test
- Math-5162 Auditing timing and measurement claims in a border-ownership workshop Q&A
- Math-5163 Peak-window bias and circuit nonidentifiability in push-pull response analysis
- Math-5164 A robust target-offset test for late 3D pop-out signals
- Math-5165 A model-discrimination and reporting certificate for Breakout Session I
- Math-5166 Shared-input model discrimination and recording-overlap identifiability
- Math-5167 Provenance-safe multidisciplinary priority setting
- Math-5168 Majority topology and the 0.66-or-1 branch-length question
- Math-5169 Exact counting with prescribed phylogenetic splits
- Math-5170 Exact split-residual certificates in BHV tree space
- Math-5171 The hypergraph size-Ramsey equality is false, with critical-edge structure for minimal witnesses
- Math-5172 Local trees of triangles force quadratic order
- Math-5173 A downgrade criterion for clique-order monotonicity
- Math-5174 Order-robust ordered Ramsey numbers of regular graphs
- Math-5175 Off-diagonal convex geometric Ramsey bounds
- Math-5176 Fourier completion of a roots-of-unity hypergraph Laplacian
- Math-5177 A quotient-root formula for every parking/toppling Betti number
- Math-5178 A fixed Laplacian quotient and hereditary firing staircases
- Math-5179 Complexity and an exact two-vertex formula for divisor rank
- Math-5180 Semisimple character partitions and a rational cycle obstruction
- Math-5181 Abelian hard-object growth and a greedy obstruction
- Math-5182 A residual-diamond model for abelian dynamics with shared memory
- Math-5183 The DFS-burning solution and a chordwise Hamilton-path refinement
- Math-5184 Finite certificates and a small-area obstruction for symmetric hexagonal polyomino tilings
- Math-5185 An orientation-double-cover sandpile across all cell dimensions
- Math-5186 A dissipative ridge-routing sandpile from a fitting orientation
- Math-5187 Exact cellular sandpile dynamics on simplex-boundary spheres
- Math-5188 Explorer aggregation on oriented codimension-one faces
- Math-5189 A planar analytic certificate for metric chip-firing
- Math-5190 Tate defects and character splitting for critical groups of abelian graph covers
- Math-5191 The full Tutte polynomial from chip-firing data
- Math-5192 A diagonal-lattice reduction for the tropical Picard group of a product of graphs
- Math-5193 Rotor antiparticles and inverse topplings: a common quotient but different full dynamics
- Math-5194 An arrival-gated interpolation from IDLA to the abelian sandpile
- Math-5195 Cartwright local matrices as link walks with potential
- Math-5196 Scaled intertwining, time change, and lumpability for harmonic Markov maps
- Math-5197 Fixed-graph recognition and a rotation certificate for maximal harmonic actions
- Math-5198 Cone-stack moduli and stabilizer criteria for harmonic metric-graph quotients
- Math-5199 What the critical group sees of a harmonic action
- Math-5200 The pentagon lift and a periodic obstruction on general graphs