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-5401 Decidability of Symmetric Polynomial Nonnegativity
- Math-5402 Generic Point Identification from Polynomial Measurements
- Math-5403 Inverse-Polynomial Influence Thresholds on the Boolean Cube
- Math-5404 Dimension-Free Sum-of-Squares Certificates for Two Quadratic Constraints
- Math-5405 Duplicate Dimension-Free Separation-Exponent Problem
- Math-5406 Quotients and Presentations of L-Convex Objects
- Math-5407 Improvements to the Signed Heat Method
- Math-5408 Ensemble Necessity in Data Assimilation
- Math-5409 Joint Design of Bridging Schedules and Transport Maps
- Math-5410 Efficient Optimization of Neural-Network Weights
- Math-5411 Reported Quantum Search for Binary Fusion Data
- Math-5412 Griesmer Bounds and Solomon–Stiffler Constructions in Other Metrics
- Math-5413 Iterative Quantum LDPC Constructions from Weaker Seeds
- Math-5414 Formal Verification of AI-Generated Mathematical Proofs
- Math-5415 Generative Sphere Packing across Dimensions and Periodic Geometries
- Math-5416 Agentic and Neuro-Symbolic AI for Mathematical Research
- Math-5417 Scaling Paradigms for Lean Autoformalization
- Math-5418 Causal-Attention Retrieval Motivation
- Math-5419 Convergence of Accelerated Sampling on Probability Spaces
- Math-5420 Complexity and Generalization in Overparameterized Learning
- Math-5421 Unified Mathematical Theory of Modern Learning
- Math-5422 Curricula for Algorithmic Reasoning in Sequence Models
- Math-5423 Inference and Training Effects of the Softmax Bottleneck
- Math-5424 Extremal Top-$m$ Representability of Output Projection Matrices
- Math-5425 Human Alignment of Artificial Intelligence Systems
- Math-5426 Duplicate Human-Alignment Question
- Math-5427 New Theoretical Principles for Foundation Models
- Math-5428 Duplicate Unified-Theory Question
- Math-5429 Erdős Problem #2
- Math-5430 Erdős Problem #3
- Math-5431 Erdős Problem #4
- Math-5432 Erdős Problem #5
- Math-5433 Erdős Problem #6
- Math-5434 Erdős Problem #7
- Math-5435 Erdős Problem #8
- Math-5436 Erdős Problem #10
- Math-5437 Erdős Problem #11
- Math-5438 Erdős Problem #13
- Math-5439 Erdős Problem #16
- Math-5440 Erdős Problem #19
- Math-5441 Erdős Problem #20
- Math-5442 Erdős Problem #21
- Math-5443 Erdős Problem #22
- Math-5444 Erdős Problem #23
- Math-5445 Erdős Problem #24
- Math-5446 Erdős Problem #26
- Math-5447 Erdős Problem #27
- Math-5448 Erdős Problem #29
- Math-5449 Erdős Problem #31
- Math-5450 Erdős Problem #33