Number of Distances Separating Points Has a New Bound
Quanta Magazine » Mathematics
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2d ago
Mathematicians have struggled to prove Falconer’s Conjecture, a simple, but far-reaching, hypothesis about the distances between points. They’re finally getting close ..read more
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Geometers Engineer New Tools to Wrangle Spacecraft Orbits
Quanta Magazine » Mathematics
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2d ago
Mathematicians think abstract tools from a field called symplectic geometry might help with planning missions to far-off moons and planets ..read more
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Michel Talagrand Wins Abel Prize for Work Wrangling Randomness
Quanta Magazine » Mathematics
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2w ago
The French mathematician spent decades developing a set of tools now widely used for taming random processes ..read more
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Quanta Relaunches Hyperjumps Math Game
Quanta Magazine » Mathematics
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1M ago
Explore a universe of numbers and arithmetic in our new and improved interactive math game, Hyperjumps ..read more
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‘The Rest of the World Disappears’: Claire Voisin on Mathematical Creativity
Quanta Magazine » Mathematics
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1M ago
The recipient of the 2024 Crafoord Prize in Mathematics discusses math as art, math as language, and math as abstract thought ..read more
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A New Agenda for Low-Dimensional Topology
Quanta Magazine » Mathematics
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2M ago
This past October, dozens of mathematicians gathered in Pasadena to create the third version of “Kirby’s list” — a compendium of the most important unsolved problems in the field ..read more
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Complex Structures Like ‘Entropy Bagels’ Emerge From Simple Rules
Quanta Magazine » Mathematics
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2M ago
Simple rules in simple settings continue to puzzle mathematicians, even as they devise intricate tools to analyze them ..read more
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Never-Repeating Tiles Can Safeguard Quantum Information
Quanta Magazine » Mathematics
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2M ago
Two researchers have proved that Penrose tilings, famous patterns that never repeat, are mathematically equivalent to a kind of quantum error correction ..read more
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Elliptic Curve ‘Murmurations’ Found With AI Take Flight
Quanta Magazine » Mathematics
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2M ago
Mathematicians are working to fully explain unusual behaviors uncovered using artificial intelligence ..read more
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Maze Proof Establishes a ‘Backbone’ for Statistical Mechanics
Quanta Magazine » Mathematics
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2M ago
Four mathematicians have estimated the chances that there’s a clear path through a random maze ..read more
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