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The Mathematical Structure of Particle Collisions Comes Into View
Physicists have identified an algebraic structure underlying the messy mathematics of particle collisions. Some hope it will lead to a more elegant theory of the natural world.
Computer Search Settles 90-Year-Old Math Problem
By translating Keller’s conjecture into a computer-friendly search for a type of graph, researchers have finally resolved a problem about covering spaces with tiles.
Math of the Penguins
Emperor penguins display rigorously geometric spacing and mathematical efficiency when they huddle together for warmth, which may reveal secrets to their overall health.
Landmark Math Proof Clears Hurdle in Top Erdős Conjecture
Two mathematicians have proved the first leg of Paul Erdős’ all-time favorite problem about number patterns.
How Physics Found a Geometric Structure for Math to Play With
Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about.
Mathematicians Will Never Stop Proving the Prime Number Theorem
Why do mathematicians enjoy proving the same results in different ways?
How Gödel’s Proof Works
His incompleteness theorems destroyed the search for a mathematical theory of everything. Nearly a century later, we’re still coming to grips with the consequences.
The Math of Social Distancing Is a Lesson in Geometry
How to safely reopen offices, schools and other public spaces while keeping people six feet apart comes down to a question mathematicians have been studying for centuries.
How and Why Computers Roll Loaded Dice
Researchers are one step closer to injecting probability into deterministic machines.