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-13151 Modular extension and analogous lattice series
- Math-13152 A seventeenth-century proof of Fermat's Last Theorem
- Math-13153 Hermite's problem
- Math-13154 Gillies' conjecture
- Math-13155 Martingale for practical purposes
- Math-13156 Analytic toy model for a percolation-fragmentation congestion transition
- Math-13157 Mixing times for coagulation-fragmentation processes
- Math-13158 Low-density lineage limit of coalescing branching random walk
- Math-13159 Constrained Ising storage model on a time-varying graph
- Math-13160 Eulerian-circuit continuum limits and SLE
- Math-13161 Stability dichotomy for the associated city dynamical system
- Math-13162 A mathematically natural SIRSN
- Math-13163 A visually realistic SIRSN
- Math-13164 Topology and geometry of a self-similar random planar partition
- Math-13165 Finite groups in the property-T collapse window
- Math-13166 Vertex-transitive sub-scale-invariant graphs
- Math-13167 Unbounded descent through iterated graph nets
- Math-13168 Exponential intersection tails in three-dimensional slabs
- Math-13169 Rotation-, translation-, scale-, and Markov-invariant random tilings
- Math-13170 Foliations of Euclidean space by Brownian paths
- Math-13171 Noise sensitivity under the Schaeffer bijection
- Math-13172 Branched surfaces and triangulations — Question 7.9
- Math-13173 Foliated Teichmüller theory — Question 11.3
- Math-13174 Coarse foliations — Question 12.1
- Math-13175 Immersed objects — Question 14.4
- Math-13176 Problem 1.10 — (N.
- Math-13177 Problem 1.11 — Understand Khovanov’s categorification of the Jones polyno - mial.
- Math-13178 Problem 1.14 — (A.
- Math-13179 Conjecture 2.16 — (M.
- Math-13180 Problem 2.19 — (Y.
- Math-13181 Problem 2.20 — Let R be a commutative ring with 1, say, Z or Q.
- Math-13182 Problem 2.26 — (K.
- Math-13183 Problem 2.28 — (M.-J.
- Math-13184 Problem 3.6 — (J.
- Math-13185 Conjecture 3.8 — (D.
- Math-13186 Problem 3.11 — (M.
- Math-13187 Problem 3.15 — (J.
- Math-13188 Problem 3.16 — (R.
- Math-13189 Problem 3.18 — (A.
- Math-13190 Problem 3.19 — Find a topological construction of the polynomial P ′ K given above.
- Math-13191 Conjecture 3.22 — [357, 139] The map (29) is injective.
- Math-13192 Problem 3.25 — (T.
- Math-13193 Problem 3.26 — (T.
- Math-13194 Problem 4.6 — Calculate the skein homology based on the Kauffman bracket skein relation.
- Math-13195 Problem 4.11 — Calculate the higher skein modules based on the Kauffman skein relation W 3,∞ i (M ) and ˆW 3,∞(M ) (see below for the…
- Math-13196 Problem 4.12 — Construct invariants of 3-manifolds via a linear skein theo ry based on the Kauffman skein module.
- Math-13197 Problem 4.13 — Calculate HS q(M ) for each 3-manifold M.
- Math-13198 Problem 4.16 — (J.
- Math-13199 Problem 4.17 — Calculate Wk(M ) for each 3-manifold M.
- Math-13200 Problem 4.18 — Define a skein module of 3-manifolds, and calculate it.