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A Master of the Traveling Salesperson Problem Finds His Own Path
Shayan Oveis Gharan has won the Abacus Medal for using tools from across mathematics to boost the power of algorithms.
Living Fully in the Math World Means Threading the Needle
Focus, commitment, and insight resulted in a “once in a century” proof. Hong Wang is now just the third woman to win a Fields Medal.
Sometimes Being First Means Seeing the End Before Anyone Else
Determination and effort propelled Jacob Tsimerman to the top of the math world. But now that he’s won a Fields Medal, he worries that the field is in jeopardy.
The Quietest Mathematician Has Always Been Worth Listening To
John Pardon sees connections between different areas of math that others don’t. For that vision, he’s now been awarded a Fields Medal.
Amid Life’s Chaos, a Meticulous Mathematician Finds Stability
Before he won a Fields Medal for his pioneering work balancing randomness and order, Yu Deng first had to achieve equilibrium in his own life.
After 80 Years, Mathematicians Give Famed ‘Erdős Method’ an Upgrade
Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his technique even more powerful.
What Is the Positive Grassmannian and Why Does It Show Up Everywhere?
Lauren Williams tells 'The Joy of Why' how studying a fundamental object in algebraic combinatorics led to a career full of surprises.
Seven Perfect Shuffles Randomize a Deck of Cards. But How Many Sloppy Ones?
A decades-old proof showed that seven shuffles are enough to mix up a deck of cards. But it requires you to cut the deck with the precision of a professional magician. A new proof gets around that obstacle.
How Terry Tao Became an Evangelist for AI in Math
With automated proof-checkers, a problem can be broken up into small chunks, solved bit-by-bit, then reassembled with confidence that every piece is correct. For some, this heralds a new area in mathematical research.