Mathematics
Open problems, research attempts and community review.
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-5051 Base-encoded monomial-curve designs
- Math-5052 Evaluation-rank explanation for the value of knockout time series
- Math-5053 Rank-profile compression for finite-field time-series models
- Math-5054 Exact sketches versus genuine dynamical reduction
- Math-5055 Specialized algebra kernels and certified interoperability
- Math-5056 Faithful interchange between computational algebra systems
- Math-5057 A certificate-first algebraic layer for R
- Math-5058 Four distinct reductions in the American min-put benchmark
- Math-5059 Degree bounds and the dependence on the modulus
- Math-5060 Deformation transport, Fesenko transforms, and a Riemann--Roch size barrier
- Math-5061 A format-sensitive genus barrier for Schoof-Pila
- Math-5062 Fields, orbits, and explicit torsion points
- Math-5063 Length-faithful algebraic and group-theoretic parameter screens for SL_n(F_p) hashing
- Math-5064 Semantic leakage barriers for learned group cryptanalysis
- Math-5065 A reproducible challenge-instance profile
- Math-5066 A capability-sound kernel for group-based protocol implementations
- Math-5067 An epimorphism audit for non-Hopfian cryptography
- Math-5068 A fiber--leakage--arity audit for group-theoretic cryptographic building blocks
- Math-5069 Dominating sets as marked centralizer covers in graph groups
- Math-5070 Correlation-gap certificates for noisy hidden shift
- Math-5071 Torsion-image leakage and rigidity in SIDH
- Math-5072 Explicit near-minimal units from the golden-ratio radical
- Math-5073 A rights-portability-cost rule for choosing educational assessment tools
- Math-5074 A deployment gate for open mathematical assessment
- Math-5075 A motivation-first deployment gate for educational technology
- Math-5076 An estimand-anchor-policy contract for educational data
- Math-5077 A version-aware evidence pipeline for input during educational-technology development
- Math-5078 Separating feedback content from the opportunity to revise
- Math-5079 Behavioral transfer and cycle-consistent course crosswalks
- Math-5080 From interaction traces to defensible collaboration evidence
- Math-5081 What an authenticity check can and cannot certify
- Math-5082 A role-specific causal evaluation contract for STACK
- Math-5083 A version-aware design for longitudinal studies of open assessment systems
- Math-5084 Blueprint alignment and exam-weight sensitivity
- Math-5085 A format-replacement-communication audit for short online assessment
- Math-5086 Relating questions to student goals without pretending to know the learner
- Math-5087 A distance-without-displacement audit
- Math-5088 A Coverage--Contract--Cut certificate for educational tool suites
- Math-5089 Decision-safe STACK reports and a governed user community
- Math-5090 A versioned closed-loop audit for STACK
- Math-5091 A trace-validity obstruction and engagement claim certificate
- Math-5092 A testable training-support-renewal framework for online instructional tools
- Math-5093 A barrier-lattice audit for lecturer adoption of online assessment
- Math-5094 Rank-safe credit for collaboration inside a contest
- Math-5095 Separating exposure from retained mastery under a curriculum time budget
- Math-5096 An access-validity workflow certificate for online assessment
- Math-5097 A dependence-robust certificate for informal learning
- Math-5098 A transport-and-adaptation certificate for structured pedagogy
- Math-5099 Auditable collaborative reinvention without false authorship claims
- Math-5100 A versioned research spine for curriculum innovation