Quanta Magazine

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Related: Topology · Mathematics · Number Theory · Differential Geometry · Dynamical Systems · Chaos Theory · Combinatorics · Steven Strogatz

Notes

• A Powerful New 'QR Code' Untangles Math's Knottiest Knots | Quanta Magazine — New computable knot invariant both strong and fast visualized as hexagonal QR code
• A Triplet Tree Forms One of the Most Beautiful Structures in Math | Quanta Magazine — Markov numbers, their triplet tree structure, and the uniqueness conjecture
• First Shape Found That Can't Pass Through Itself | Quanta Magazine — First proven convex polyhedron that cannot pass through a copy of itself
• Flow Proof Helps Mathematicians Find Stability in Chaos | Quanta Magazine — New proof classifies Anosov flows using only periodic trajectory data
• How Is Flocking Like Computing? | Quanta Magazine — Animal flocking as distributed biological computation and emergence
• How Quantum Physics Describes Earth's Weather Patterns | Quanta Magazine — Earth modeled as topological insulator explaining equatorial Kelvin waves
• In Mysterious Pattern, Math and Nature Converge | Quanta Magazine — Random matrix universality pattern appears across unrelated complex systems
• New Math Shows When Solar Systems Become Unstable | Quanta Magazine — First mathematical proof of inevitable orbital instability in n-body planetary systems
• New Proofs Probe Soap-Film Singularities | Quanta Magazine — Generic regularity of minimizing surfaces proved through dimension 11
• Pierre de Fermat's Link to a High School Student's Prime Math Proof | Quanta Magazine — Carmichael numbers as pseudoprime counterexamples to Fermat's little theorem
• Risky Giant Steps Can Solve Optimization Problems Faster | Quanta Magazine — Oversized gradient descent steps with cyclical patterns converge nearly 3x faster
• Science and Math News | Quanta Magazine — Quanta Magazine homepage for rigorous public science and math journalism
• Srinivasa Ramanujan Was a Genius. Math Is Still Catching Up. | Quanta Magazine — Rogers-Ramanujan partition identities resurface across modern mathematics branches
• The 4-Page Paper That Broke Mathematics | Quanta Magazine — Georg Cantor's 1874 paper proving some infinities are larger than others
• The Lawlessness of Large Numbers — Finite Ramsey theory computation far harder than asymptotic bounds
• The New Math of Wrinkling Patterns | Quanta Magazine — Mathematical theory predicting wrinkling patterns in elastic thin sheets
• The Surprisingly Simple Math Behind Puzzling Matchups | Quanta Magazine — Intransitive dice show winning relationships can cycle non-transitively
• Topology 101: The Hole Truth — Introduction to how topologists formally count holes via homology and Betti numbers
• Two Students Unravel a Widely Believed Math Conjecture | Quanta Magazine — Grad students disprove Apollonian circle packing local-global conjecture computationally
• What Are Lie Groups? | Quanta Magazine — Lie groups as continuous-symmetry manifolds bridging algebra, geometry, and physics
• What Is a Manifold? | Quanta Magazine — Explainer on mathematical manifolds, their definition, and broad applications
• Why I'm Hosting The Joy of x Podcast — Steven Strogatz introduces Quanta Magazine conversational science-math podcast
• Why Mathematical Proof Is a Social Compact | Quanta Magazine — Mathematical proof as community social compact, not pure objective truth