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Tao was born to Chinese immigrant parents and raised in Adelaide. Tao won the Fields Medal in 2006 and won the Royal Medal and Breakthrough Prize in Mathematics in 2014, and is a 2006 MacArthur Fellow. Tao has been the author or co-author of over three hundred research papers, and is widely regarded as one of the greatest living mathematicians.
Terence Tao Australia: 1986 Bronze 10 years, 363 days Raúl Chávez Sarmiento Peru: 2009 Bronze 11 years, 271 days Terence Tao Australia: 1987 Silver 11 years, 364 days Alex Chui Hong Kong: 2020 Silver 12 years, 156 days Akshay Venkatesh Australia: 1994 Bronze 12 years, 241 days Yeoh Zi Song Malaysia: 2014 Bronze 12 years, 245 days
Terence Tao in 2016 published a finite time blowup result for an averaged version of the 3-dimensional Navier–Stokes equation. He writes that the result formalizes a "supercriticality barrier" for the global regularity problem for the true Navier–Stokes equations, and claims that the method of proof hints at a possible route to establishing ...
Terence Tao (Australia) participated in IMO 1986, 1987 and 1988, winning bronze, silver and gold medals respectively. He won a gold medal when he just turned thirteen in IMO 1988, becoming the youngest person [ 94 ] to receive a gold medal (Zhuo Qun Song of Canada also won a gold medal at age 13, in 2011, though he was older than Tao).
Terence Tao, 2006 Fields Medal recipient [27] Elissa Hallem, 2012 MacArthur Fellows Program (Genius Grant) for neurobiology [28] Jacob Lurie, 2014 MacArthur Fellows Program (Genius Grant) for mathematics [29] Dave Aitel, computer security professional [30] Ronan Farrow, journalist, lawyer, and former government advisor [31]
This approach departs from the classical logic used in conventional mathematics by denying the law of the excluded middle, e.g., NOT (a ≠ b) does not imply a = b.In particular, in a theory of smooth infinitesimal analysis one can prove for all infinitesimals ε, NOT (ε ≠ 0); yet it is provably false that all infinitesimals are equal to zero. [2]
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In number theory, the Green–Tao theorem, proved by Ben Green and Terence Tao in 2004, states that the sequence of prime numbers contains arbitrarily long arithmetic progressions. In other words, for every natural number k {\displaystyle k} , there exist arithmetic progressions of primes with k {\displaystyle k} terms.