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Terence Tao

Terence Chi-Shen Tao is an Australian-American mathematician known for major contributions to partial differential equations, harmonic analysis, combinatorics, and additive number theory.

By Ethan Anderson| Reviewed by Olivia Bennett, Standards & Fact-Checking Lead| Updated July 26, 2026|2 min read| Fact-checked

Terence Chi-Shen Tao is an Australian-American mathematician known for his contributions to partial differential equations, harmonic analysis, combinatorics, and additive number theory. He was awarded the Fields Medal in 2006 and is a professor of mathematics at the University of California, Los Angeles (UCLA). Tao is also recognized for the Green–Tao theorem and for becoming a full professor at a young age. He is one of many influential mathematicians, including John Nash and Srinivasa Ramanujan, and is widely relevant to Canadian readers as a leading contemporary mathematician whose work influences research and teaching internationally.

Early life and education

Tao was born on 17 July 1975 in Adelaide, South Australia, and raised in Australia. He demonstrated advanced mathematical abilities at a young age and later earned a Ph.D. from Princeton University.

Academic career

Tao joined the mathematics faculty at the University of California, Los Angeles (UCLA) in 1999 and became a professor. He is noted as one of the youngest full professors in the department's history.

Research contributions

Tao's research covers partial differential equations, harmonic analysis, combinatorics, and additive number theory, areas that rely on fundamental concepts such as Arabic numerals and division (mathematics). He is best known for the Green–Tao theorem, co-proved with Ben Green, which demonstrates the existence of arbitrarily long arithmetic progressions of prime numbers.

Awards and honours

Tao was awarded the Fields Medal in 2006 for his contributions to partial differential equations, combinatorics, harmonic analysis, and additive number theory. He has also received the MacArthur Fellowship and the Breakthrough Prize in Mathematics.

Key facts

  • Born in Adelaide in 1975 and raised in Australia.
  • Won the Fields Medal in 2006 for work in partial differential equations, combinatorics, harmonic analysis, and additive number theory.
  • Has worked extensively in harmonic analysis, PDEs, combinatorics, and number theory.
  • Co-proved the Green–Tao theorem with Ben Green, showing there are arbitrarily long arithmetic progressions of primes.
  • Has been a professor of mathematics at UCLA since 1999.
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Canadian context

Terence Tao has no specific Canada-only connection in the provided sources, but he is widely relevant to Canadian readers as a leading contemporary mathematician whose work influences research and teaching internationally.

Frequently asked questions

Who is Terence Tao?
Terence Tao is an Australian-American mathematician known for major work in several areas of pure mathematics, including partial differential equations and number theory.
What is Terence Tao best known for?
He is best known for his broad research record and for co-proving the Green–Tao theorem, which shows there are arbitrarily long arithmetic progressions of prime numbers.
What award did Terence Tao win in 2006?
He won the Fields Medal in 2006 for contributions to partial differential equations, combinatorics, harmonic analysis, and additive number theory.
Where does Terence Tao work?
He is a professor of mathematics at the University of California, Los Angeles (UCLA).
When was Terence Tao born?
He was born on 17 July 1975.

References

  1. MacTutor History of Mathematicshttps://mathshistory.st-andrews.ac.uk/Biographies/Tao/
    Supports: Birth year; Australian-American mathematician; Fields Medal citation; research areas
  2. Encyclopaedia Britannicahttps://www.britannica.com/biography/Terence-Tao
    Supports: Birth date and place; Fields Medal; main research areas
  3. MacArthur Foundationhttps://www.macfound.org/fellows/class-of-2006/terence-tao
    Supports: Birthplace; education; research areas; MacArthur Fellowship
  4. UCLA Mathematicshttps://www.math.ucla.edu/~tao/preprints/cv.html
    Supports: UCLA faculty position; Ph.D. from Princeton; awards; research areas; biography
  5. Carnegie Corporation of New Yorkhttps://carnegie.org/great-immigrants/terence-tao/
    Supports: Birthplace; UCLA appointment; Fields Medal; Green–Tao theorem
  6. Wikipediahttps://en.wikipedia.org/wiki/Terence_Tao
    Supports: Green–Tao theorem; UCLA professorship; name and nationalities