# Laura tao

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## 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 Tao's specialty is analysis, the area of math that includes calculus and differential equations. Sylvain E. It was as unexpected as a violinist suddenly winning a major piano competition. For Tao, however, wandering across disciplinary boundaries is commonplace. For instance, one day in , Emmanuel Candes, an applied mathematician at Caltech, told Tao about a problem he was working on—how to reconstruct images with the least possible information. Present-day digital cameras go about this in a most inefficient way. They record several million pixels the basic elements of digital pictures , then use computer instructions called a compression algorithm to reduce the amount of data in the picture by 10 or 50 times.

Research articles. Parisno.

His research includes topics in harmonic analysis , partial differential equations , algebraic combinatorics , arithmetic combinatorics , geometric combinatorics , probability theory , compressed sensing and analytic number theory. Tao was born to Chinese immigrant parents and raised in Adelaide. He is also a MacArthur Fellow. Tao has been the author or co-author of over three hundred research papers. Tao's parents are first-generation immigrants from Hong Kong to Australia.

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. I am deeply indebted to all of them, but particularly to my early mentors Basil Rennie and Garth Gaudry, and my graduate advisor Elias Stein. And of course to my wife, Laura, for her constant support and understanding and also for giving me the perspective of an electrical engineer on mathematics!

### Laura tao

His research includes topics in harmonic analysis , partial differential equations , algebraic combinatorics , arithmetic combinatorics , geometric combinatorics , probability theory , compressed sensing and analytic number theory. Tao was born to Chinese immigrant parents and raised in Adelaide. He is also a MacArthur Fellow. Tao has been the author or co-author of over three hundred research papers. Tao's parents are first-generation immigrants from Hong Kong to Australia.

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On global existence and scattering for the wave maps equation. I'd say that's awesome, but we obviously can't publish that. Tao, T. London Math. The system can't perform the operation now. But it is more illuminating to think of them as stars in the sky, scattered more or less at random over a vast canvas. SIAM Rev. Bent Fuglede introduced the Fuglede conjecture in the s, positing a tile -based characterisation of those Euclidean domains for which a Fourier ensemble provides a basis of L 2. Australia United States [3]. Paris , no.

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Last year, the International Mathematical Union awarded him the Fields Medal, widely considered the mathematics equivalent of a Nobel Prize. Oxford: Oxford University Press. Archived from the original on 3 February Amongst other things, these meetings impressed upon me the value of mathematical experience, by being able to make more key progress on a problem in a handful of minutes than I was able to accomplish in a whole week. He won a bronze medal in , a silver medal in and a gold medal in , becoming the youngest ever gold medalist in the Mathematical Olympiad. Probability Theory and Related Fields. Tao was the youngest participant to date in the International Mathematical Olympiad , first competing at the age of ten; in , , and , he won a bronze, silver, and gold medal, respectively. Staffilani, and H. His induction ceremony is here. Olaf College Verified email at stolaf.

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