Mathematics catalogue
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-9101 Conjecture 0.1 — Is there an infinite expander?
- Math-9102 Nonamenable subgraphs of transitive graphs with exponential growth
- Math-9103 Nonamenable subgraphs under uniform exponential growth
- Math-9104 Cheeger constants of nets in transitive graphs
- Math-9105 Uniform expansion bounds for graph nets
- Math-9106 Grid-or-tree embeddings in superlinear Cayley graphs
- Math-9107 Roughly transitive graphs versus homogeneous spaces
- Math-9108 Minimum diameter realizing a prescribed local ball
- Math-9109 Isoperimetric dimension and nontrivial percolation threshold
- Math-9110 Self-avoiding loops on nonamenable transitive graphs
- Math-9111 Locality of connective constants
- Math-9112 Half-plane percolation for invariant FKG processes
- Math-9113 Binary trees in critical clusters of regular planar triangulations
- Math-9114 Invariant finite-energy percolation with internal threshold one
- Math-9115 Uniqueness of percolation on graphs roughly isometric to lattices
- Math-9116 Cheeger constant and the percolation nonuniqueness phase
- Math-9117 Rough-isometry invariance of percolation nonuniqueness
- Math-9118 Percolation nonuniqueness on products with the line
- Math-9119 Infinite-cluster intersections with vertical fibers
- Math-9120 From a large percolation component to a giant component on expanders
- Math-9121 Nonintersecting couplings of random walks in dimensions three and four
- Math-9122 Liouville property of infinite Ramanujan graphs
- Math-9123 Liouville property under rough isometry to nonamenable Cayley graphs
- Math-9124 Liouville extensions by an isometric integer action
- Math-9125 Limit shape in Poisson–Voronoi metrics over $\ell_p$ planes
- Math-9126 Near-critical percolation limit shapes
- Math-9127 Finite graphs whose every ball is an expander
- Math-9128 When is the uniqueness threshold below one?
- Math-9129 Uniqueness at the percolation uniqueness threshold
- Math-9130 Limit shape of first-passage percolation
- Math-9131 Sharp lower bounds for entropic subspace approximation
- Math-9132 Restricted Roth progressions and their local obstructions
- Math-9133 A root-system reduction for the spherical triangle form
- Math-9134 Popular square differences: a radix obstruction and a sharp characteristic-two no-wrap model
- Math-9135 Arithmetic removal in cyclic groups: corrected quantifiers, matching distances, and exact CRT-compatible lifts
- Math-9136 Popular-direction planarization for no-five-coplanar sumsets
- Math-9137 A variational energy core for stronger BSG
- Math-9138 Good Freiman models from polynomial coset covers
- Math-9139 Riemann-profile transference for discrete entropy monotonicity
- Math-9140 Exact structure inside a two-fold sumset
- Math-9141 Higher additive energy and quantitative stability of the Holder defect
- Math-9142 Reverse Banaszczyk minimization and the ellipsoidal regime
- Math-9143 A linear worst-case lower bound for Ramsey numbers of rectilinear knots
- Math-9144 Polynomial bounds for rectilinear knot Ramsey numbers
- Math-9145 Fixed-polynomial semi-algebraic Ramsey bounds and unbounded-degree universality
- Math-9146 Quantifier-resolved off-diagonal semi-algebraic graph Ramsey numbers
- Math-9147 A small Fano-good tight path and the connectedness convention
- Math-9148 A q-Eulerian last-site law for cycle IDLA
- Math-9149 Naturality as an affine automorphism action
- Math-9150 Periodic Laplacian certificates for robustness and explosion