Terence Tao

Terence Tao. A preeminent Australian-American mathematician, he is a professor at the University of California, Los Angeles and holds the James and Carol Collins Chair. Often described as a prodigy, he has made profound contributions across diverse fields including harmonic analysis, partial differential equations, combinatorics, and analytic number theory. His work on the Green–Tao theorem and the Navier–Stokes existence and smoothness problem has cemented his reputation as one of the most influential and prolific mathematicians of his generation.

Early life and education

Born in Adelaide to parents who had emigrated from Hong Kong, he demonstrated extraordinary mathematical aptitude from a very young age. By the age of nine, he was attending university-level mathematics courses at Flinders University, where he later earned his Bachelor of Science degree. He completed his doctorate at Princeton University under the supervision of renowned analyst Elias Stein, focusing on harmonic analysis. His early academic achievements were recognized with medals in the International Mathematical Olympiad, where he remains one of the most decorated participants in the competition's history.

Mathematical career and research

Appointed to the faculty of the University of California, Los Angeles in 1996, he quickly established himself as a leading figure in modern analysis. His research is characterized by solving long-standing open problems and forging deep connections between disparate areas of mathematics. A landmark achievement, proved with Ben Green, is the Green–Tao theorem, which states that the prime numbers contain arbitrarily long arithmetic progressions. He has made significant advances in the theory of partial differential equations, contributing to the understanding of the Navier–Stokes existence and smoothness problem, one of the Clay Institute's Millennium Prize Problems. His collaborative work spans compressed sensing, random matrix theory, and additive combinatorics, often with collaborators like Emmanuel Candès and Van Vu.

Awards and honors

His exceptional contributions have been recognized with the highest honors in mathematics and science. In 2006, he was awarded the Fields Medal, often considered the mathematician's equivalent of the Nobel Prize, and also received a MacArthur Fellowship that same year. Further accolades include the prestigious Breakthrough Prize in Mathematics, the Royal Medal from the Royal Society, and the Crafoord Prize in mathematics from the Royal Swedish Academy of Sciences. He is a fellow of numerous academies, including the Royal Society, the National Academy of Sciences, and the American Academy of Arts and Sciences.

Publications and influence

He is the author of several highly regarded graduate textbooks and monographs, such as *Solving Mathematical Problems* and *Analysis I & II*, which are used in universities worldwide. His collaborative research papers are extensively cited, and he maintains a widely read mathematical blog that discusses current research and problem-solving. Through his mentorship of graduate students and postdoctoral researchers at University of California, Los Angeles, he has influenced a new generation of mathematicians. His expository writing and public lectures have played a significant role in communicating advanced mathematical ideas to broader audiences.

Personal life

He lives in Los Angeles with his wife, Laura Tao, an engineer at the Jet Propulsion Laboratory, and their children. An avid follower of science fiction and fantasy literature, he has also spoken about the challenges and experiences of being a child prodigy. He became a naturalized citizen of the United States while maintaining his Australian citizenship, and he frequently returns to Australia for conferences and collaborative work.

Category:Australian mathematicians Category:Living people Category:Fields Medal winners