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-4751 Compact-fixed-locus definitions and pole obstructions for noncompact elliptic genera
- Math-4752 A normal-symbol criterion for lower-dimensional modular reduction
- Math-4753 Coefficientwise indices and a level-two Calabi--Yau/CFT test
- Math-4754 Paramodular consistency tests for Calabi-Yau counting series
- Math-4755 Normalization-aware leading quintic amplitudes at the Gepner point
- Math-4756 Hurwitz class numbers, CM enumeration, and local conductor layers
- Math-4757 Formal, Jacobi, and wave-function transformations of the string coupling
- Math-4758 Mirror-quintic periods, modular-type structures, and a conifold obstruction
- Math-4759 Functional equations and an Euler-product obstruction for mixed mock L-series
- Math-4760 Hauptmodul differential equations for an even-weight mixed-mock class
- Math-4761 Mock modularity, geometric invariants, and finite pole tomography
- Math-4762 A two-vertex counterexample to color-number monotonicity
- Math-4763 Equatorial symmetry and a Jacobian-jet test for local Kerr caustic cusps
- Math-4764 An invariant certificate for caustic-forming Kerr rays
- Math-4765 Melrose's answer, compact Sobolev embedding, and escape of mass
- Math-4766 Why gravitational instantons arise from monopoles
- Math-4767 A synchronized heat-kernel construction on eight-dimensional hyperkähler products
- Math-4768 Audible primitive two-torus areas on a flat three-torus
- Math-4769 Centered asymptotics for a Gibbons--Hawking subfamily
- Math-4770 A quantified Gibbons-Hawking N-body cluster model
- Math-4771 The L2-signature of toric hyperkahler quotients
- Math-4772 A smoothness criterion for projective conic compactifications of ALF twistor models
- Math-4773 Topology and character sectors in monopole L2-cohomology
- Math-4774 The signed Hill threshold for binary exchange
- Math-4775 A gauge-invariant action-gap certificate for barbell transit orbits
- Math-4776 The four-body super-eight and the rotating-square obstruction
- Math-4777 Fixed winding numbers: exact pair bounds, graph coercivity, and collision loss
- Math-4778 Homology-only escape and a strict zero-winding choreography gap
- Math-4779 Coercivity and collision boundaries for the Broucke-Henon class (1,0,1)
- Math-4780 Coercivity, collision support, and the identity braid for the class (1,0,-1)
- Math-4781 Syzygy-word parity and the angular-momentum holonomy obstruction
- Math-4782 When constrained minimizers gain symmetry
- Math-4783 Quantitative simplex and dimension bounds for minimum-potential equal-mass configurations
- Math-4784 Circulant mass compatibility and a six-body temporal Fourier obstruction
- Math-4785 Fourier obstructions to unequally phased single-trace motions
- Math-4786 Effective full-isotropy constraints for time-space-label symmetries
- Math-4787 Matrix virial decomposition and a collision-free tensor stress test
- Math-4788 An affine-defect test for Newtonian motions
- Math-4789 The syzygy-free three-body solution and quantitative crossing certificates
- Math-4790 Closure-area limit sets and geometric phase on the shape sphere
- Math-4791 Constant normalized area in the three-body problem
- Math-4792 A logarithmic-volume identity and zero-angular-momentum obstruction
- Math-4793 Zero-total-mass reduction and obstruction to the Euler integral
- Math-4794 Level-orbit potentials: quantifier audit, speed criterion, and transnormal rigidity
- Math-4795 A Jacobi-Maupertuis and McGehee scale-shape dictionary
- Math-4796 Limits of action minimization: collisions, constraints, stability, and fixed energy
- Math-4797 Quantitative collinear finiteness and maximal-dimensional simplex rigidity
- Math-4798 Normal Hessian blocks, an exact four-body index jump, and stability obstructions
- Math-4799 Compatibility and reversible shooting for connections between relative equilibria
- Math-4800 Exact reversible shooting criterion for halo-orbit bifurcation