Math
In a Single Measure, Invariants Capture the Essence of Math Objects
To distinguish between fundamentally different objects, mathematicians turn to invariants that encode the objects’ essential features.
In Mathematics, It Often Takes a Good Map to Find Answers
Mathematicians try to figure out when problems can be solved using current knowledge—and when they have to chart a new path instead.
Out-of-Sync ‘Loners’ May Secretly Protect Orderly Swarms
Studies of collective behavior usually focus on how crowds of organisms coordinate their actions. But what if the individuals that don’t participate have just as much to tell us?
Why COVID-19 Flare-Ups Will Keep Happening
Like earthquakes and forest fires, outbreaks have a “heavy tail” of large events.
Math After COVID-19
Modern mathematics relies on collaboration and travel. COVID-19 is making it increasingly difficult.
John Conway Solved Mathematical Problems With His Bare Hands
The legendary mathematician, who died on April 11, 2020 was curious, colorful and one of the greatest problem-solvers of his generation.
Graced With Knowledge, Mathematicians Seek to Understand
A landmark proof in computer science has also solved an important problem called the Connes embedding conjecture. Mathematicians are working to understand it.
‘Rainbows’ Are a Mathematician’s Best Friend
“Rainbow colorings” recently led to a new proof. It’s not the first time they’ve come in handy.
To Beat COVID-19, Think Like a Fighter Pilot
How an aerial-combat theory can help fight the outbreak.
Color-Changing Material Unites the Math and Physics of Knots
Mathematicians have studied knots for centuries, but a new material is showing why some knots are better than others.
Mapping Gay-Friendly Cities Through History
A data analyst uncovers a timeless message about correlation.