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Without a Proof, Mathematicians Wonder How Much Evidence Is Enough
A new statistical model appears to undermine long-held assumptions in number theory. How much should it be trusted when all that really matters is proof?
Titans of Mathematics Clash Over Epic Proof of ABC Conjecture
Two mathematicians have found what they say is a hole at the heart of a proof that has convulsed the mathematics community for nearly six years.
Why Mathematicians Can’t Find the Hay in a Haystack
In math, sometimes the most common things are the hardest to find.
Tinkertoy Models Produce New Geometric Insights
An upstart field that simplifies complex shapes is letting mathematicians understand how those shapes depend on the space in which you visualize them.
An Innovator Who Brings Order to an Infinitude of Equations
The mathematician Caucher Birkar was born on a subsistence farm and raised in the middle of the brutal war between Iran and Iraq. After fleeing to England, he has gone on to impose order on a wild landscape of mathematical equations.
Visionary Mathematician Vladimir Voevodsky Dies at 51
Voevodsky’s friends remember him as constitutionally unable to compromise on the truth — a quality that led him to produce some of the most important mathematics of the 20th century.
A Path Less Taken to the Peak of the Math World
June Huh thought he had no talent for math until a chance meeting with a legendary mind. A decade later, his unorthodox approach to mathematical thinking has led to major breakthroughs.
Strange Numbers Found in Particle Collisions
An unexpected connection has emerged between the results of physics experiments and an important, seemingly unrelated set of numbers in pure mathematics.
Hope Rekindled for Perplexing Proof
Three years ago, a solitary mathematician released an impenetrable proof of the famous abc conjecture. At a recent conference dedicated to the work, optimism mixed with bafflement.