Laura tao

Quick Info Born 17 July Adelaide, South Australia, Australia Summary Terence Tao is an Australian-American mathematician who won a Fields Medal in laura tao his contributions to partial differential equations, combinatorics, harmonic analysis and additive number theory. He has continued to prove remarkable results on an exceptionally wide range of topics. View ten larger pictures, laura tao.

There's a scene in the Oscar-winning film A Beautiful Mind in which Russell Crowe as mathematician John Nash asks his beautiful wife-to-be to gaze into the evening sky and name any shape—an umbrella, for instance—and then says he will find the shape in a constellation. He does it, and she is utterly charmed, saying, "Do it again. Prime numbers, those that can be divided only by themselves and 1 that is, 2, 3, 5, 7, 11, and so on , can be visualized as points on a line. But it is more illuminating to think of them as stars in the sky, scattered more or less at random over a vast canvas. Tao, together with Cambridge University mathematician Ben Green, proved that this canvas contains patterns of every conceivable shape. Somewhere there's a prime number constellation with the same shape as Nash's umbrella. Green and Tao's discovery was the mathematical sensation of

Laura tao

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For numerous breakthrough contributions to harmonic analysis, combinatorics, partial differential equations, and analytic number theory. Terence Tao has made important contributions to a very wide range of mathematical fields, but has perhaps made the most impact in number theory. Number theory is the study of integers, and prime numbers play a particularly central role: in the universe of numbers, primes are the atoms. Alone and with collaborators, Tao has solved several longstanding problems related to prime numbers. For example, he proved that every odd integer above 1 can be built from adding together five prime numbers or less; and that there are equally spaced progressions of primes such as 3, 7, 11 , of any desired length, to be found within the infinite series of integers. Mathematics nowadays is increasingly a collaborative and interdisciplinary activity. A large fraction of the work I have done in mathematics could not have been accomplished without the crucial input of my many co-authors, colleagues, mentors, students, and even commenters on my blog.

Laura tao

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An epsilon of room, I: real analysis. Tao, together with Cambridge University mathematician Ben Green, proved that this canvas contains patterns of every conceivable shape. Colliander, J. Knutson says that Tao has shown him how to chip away at a large problem a little bit at a time. Another area in which Tao has worked is solving special cases of the equations of general relativity describing gravity. Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion. In mathematical terms, most of their results identify settings in which a convex optimisation problem correctly computes the solution of an optimisation problem which seems to lack a computationally tractable structure. Terence was small, even for a seven-year-old. Bourgain, J. By comparison, Chan says, most pure mathematicians would be happy with three papers a year.

There's a scene in the Oscar-winning film A Beautiful Mind in which Russell Crowe as mathematician John Nash asks his beautiful wife-to-be to gaze into the evening sky and name any shape—an umbrella, for instance—and then says he will find the shape in a constellation. He does it, and she is utterly charmed, saying, "Do it again.

At 17, he came to America to study mathematics as a graduate student at Princeton. He was awarded his doctorate in June for his thesis Three regularity results in harmonic analysis. White House. Those conjectures were proved in later work of Green, Tao, and Tamar Ziegler. In , Tao, together with Jean Bourgain and Nets Katz , studied the additive and multiplicative structure of subsets of finite fields of prime order. He began to undertake research at Princeton University advised by Elias Stein. By the time Terry reached the age of eleven, he was dividing his time between his studies at Blackwood High School, which he attended from to , and taking classes at Flinders University in Adelaide where he was taught by Garth Gaudry - It is of major interest to identify exponents such that this operation is continuous relative to L p spaces. In his free time, Tao joined the Film Club and played table football, online bridge, and computer games. Colliander, M. He was brilliant at subjects with precise rules, like mathematics and Latin, but when his English teachers asked the class to write an essay about "home", he was totally stumped. Fields Medalists. View all. Authority control databases.