August Thinker: Terence Tao

Terence Tao, an Australian-American mathematician, is widely recognized for his extensive contributions to various fields within mathematics. His work has significantly impacted areas such as partial differential equations, combinatorics, harmonic analysis, and number theory. Known for his exceptional problem-solving skills and deep theoretical insights, Tao stands out as one of the most influential mathematicians of our time.

Early Life

Terence Tao was born on July 17, 1975, in Adelaide, Australia. From a young age, he exhibited extraordinary mathematical talent. By the age of two, Tao was able to perform basic arithmetic operations, and by nine, he had progressed to university-level mathematics. His prodigious abilities were nurtured by his supportive family and the academic community.

Tao's formal education began at the Flinders University, where he completed his bachelor's and master's degrees by the age of 16. His early academic achievements led him to Princeton University, where he earned his Ph.D. in mathematics at the age of 21. Under the supervision of Elias Stein, Tao developed a strong foundation in harmonic analysis, which would later become one of his primary areas of research.

Work and Contribution

Terence Tao's contributions to mathematics are diverse and impactful. His primary field is the theory of partial differential equations (PDEs), crucial in mathematical physics. Tao, with collaborators, established key existence theorems for the nonlinear Schrödinger equation, which models light transmission in fiber optics. His work on waves also extends to gravitational waves predicted by Einstein’s theory of general relativity.

In number theory, Tao, along with Ben Green, proved that the set of prime numbers contains arithmetic progressions of any length, a significant breakthrough. This result demonstrates that primes can be found in evenly spaced sequences, such as 5, 11, 17, 23, 29.

Photo by Roman Mager

Tao's research extends to combinatorics, harmonic analysis, and theoretical computer science, highlighting his versatility. His collaborative efforts have led to significant advancements across these fields. He has authored several influential books and papers, making complex concepts accessible to a broader audience.

Recognized for his wide-ranging research, Tao has received numerous awards, including the Fields Medal in 2006, the Crafoord Prize, the King Faisal International Prize, the Salem Prize (2000), and the American Mathematical Society Bocher Memorial Prize (2002).


Missed our July Thinker? Learn about Dr. Shirley Ann Jackson, a theoretical particle physicist and the first African-American woman to earn a Ph.D. from MIT.

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