Terence Tao
Terence Tao (陶哲轩, pinyin: Tao Zhéxuān; born July 17, 1975 in Adelaide ) is an Australian mathematician.
Life
Tao was known as a mathematical prodigy. He reached the age of eight, a SAT test result in the mathematical part, which corresponds to an above-average students (760 points). At the age of twelve years he was the youngest participant at the time and the youngest gold medalist at the Mathematical Olympiad.
He studied from 1992 to 1996 at the Princeton University ( Ph.D. in 1996 at Elias Stone Three Regularity Results in Harmonic Analysis) and is now a professor at UCLA.
Services
Special attention in the mathematical community found his proof that there exist arbitrarily long arithmetic progressions of prime numbers, which he aufstellte 2004 along with Ben Green ( Green- Tao theorem). The longest (2010) well-known arithmetic progression of prime numbers has length 26
With Nets Katz, he showed that the Minkowski dimension of Besicovich quantities ( in which lines of unit length are in any orientation ) in n- dimensional Euclidean spaces (after the Kakeya conjecture n ) is at least. So you improved a previously proven lower bound of Thomas Wolff. With Kat and Izabella Laba he found the previous best lower bound previously in the three-dimensional case.
Honors
Tao received the Salem Prize in 2000, 2002 Bôcher Memorial Prize and the 2003 Clay Research Award. Along with Allen Knutson, he received the Levi L. Conant - Prize of the American Mathematical Society, of which he is a Fellow in 2005. The Ostrowski Prize was awarded to him in 2005 along with Ben Green. In 2006 he received the Fields Medal, considered the highest distinction in the field of mathematics, as well as the SASTRA Ramanujan Prize. In 2006 he gave a plenary lecture at the International Congress of Mathematicians in Madrid (The Dichotomy in between structure and randomness, arithmetic progressions and the primes ). Also in 2006, he was MacArthur Fellow. In January 2010 he was awarded, together with Enrico Bombieri with the King Faisal International Prize. In addition, it 2010, the Nemmers Prize for mathematics was awarded. In 2012 he was awarded the Crafoord Prize in 2010 and the George Pólya Prize.
Writings
- Solving Mathematical Problem: A personal perspective. Deakin University Press, Geelong, Vic. 1992, ISBN 0-7300-1365-0
- Later greatly expanded edition: Solving Mathematical problem. Oxford University Press 2006, ISBN 0199205604
- Analysis I. Hindustan Books 2006, ISBN 81-85931-62-3
- Analysis II Hindustan Books 2006, ISBN 81-85931-62-3
- Van Vi: Additive Combinatorics, Cambridge University Press 2006
- Structure and randomness: Pages from Year One of a Mathematical Blog, AMS 2008
- Poincaré 's Legacies: Pages from Year Two of a Mathematical Blog, American Mathematical Society (AMS ), 2009
- An Epsilon of Room: Pages from Year blog, I. AMS 2010, ISBN 978-0-8218-5278-1 (Online Edition)
- An Epsilon of Room: Pages from Year blog, II AMS 2011, ISBN 978-0-8218-5280-4 (Online Edition)
- An Introduction to Measure Theory. AMS 2011, ISBN 978-0-8218-6919-2 (Online Edition)
- Topics in Random Matrix Theory. AMS 2012, ISBN 978-0-8218-7430-1 (Online Edition)
- Higher Order Fourier Analysis. AMS 2012, ISBN 978-0-8218-8986-2, ( online edition )
- Compactness and Contradiction. AMS, 2013, ISBN 978-0-8218-9492-7 (Online Edition)
Journal Papers & Publications
- Knutson, Tao " Honeycombs and the sums of hermitean matrices, Notices AMS 2001, Issue 2, pdf file, Conant won the Price
- Tao "From rotating needles to stability of waves: emerging connections in between combinatorics, analysis and PDE ", Notices AMS 2001, Issue 3, pdf file
- Green, Tao Primes arbitrary long arithmetic progressions containment, in 2004, evidence of the existence of arbitrarily long arithmetic progressions of prime numbers (English, PDF file, 665 kB)