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20 Best Brains Under 40

Young innovators are changing everything from theoretical mathematics to cancer therapy.

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Terence Tao  Mathematician, University of California Los Angeles

Many of the great mathematicians of our era probably scored a perfect 800 on the math section of their SATs. Terence Tao squeaked by with a 760—when he was 8 years old.

A quarter century later, Tao, now 33, is one of the most prolific and esteemed mathematicians in the nation. In 1999 he became UCLA’s youngest professor at age 24 and later won the 2006 Fields Medal, considered the Nobel Prize of math. In a discipline where one can spend a lifetime working on a single problem, Tao has made major contributions in a number of categories ranging from nonlinear equations to number theory—which explains why colleagues continually seek his guidance.

“In every generation of mathematicians, there are a few at the very top,” says Charles Fefferman of Princeton University, a mathematical giant in his own right. “He belongs in that group.”

Tao’s best-known research involves patterns of prime numbers (numbers divisible only by one and themselves). While he mainly sticks to the theoretical, his breakthrough work in compressed sensing is allowing engineers to develop sharper, more efficient imaging technology for MRIs, astronomical instruments, and digital cameras.

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