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Terence Tao

Terence Tao is an Australian-American mathematician and UCLA professor of mathematics whose research spans harmonic analysis, partial differential equations, combinatorics, and analytic number theory; a winner of the Fields Medal and the Breakthrough Prize in Mathematics, he has in recent years promoted AI-assisted mathematical research and formal proofs in Lean.

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Key facts

Born in Adelaide

Terence Tao was born on July 17, 1975, in Adelaide, Australia.⁠[1]

His father, Billy Tao, is a Chinese-born pediatrician and his mother, Grace, was born in Hong Kong; they met at the University of Hong Kong and emigrated to Australia in 1972. He is the eldest of three sons, with younger brothers Trevor and Nigel.⁠[2]

Visits the Institute for Advanced Study with His Father

Competes Three Times at the International Mathematical Olympiad

He competed in the International Mathematical Olympiad at ages 10, 11, and 12, winning bronze, silver, and gold medals respectively, and remains the youngest gold medalist in the competition’s history.⁠[4]

Earns Bachelor’s and Master’s Degrees at Flinders University

Under Garth Gaudry, he received a B.Sc. (Hons) in mathematics from Flinders University in December 1991 and an M.Sc. in August 1992, and held a Fulbright postgraduate scholarship from 1992 to 1995.⁠[1]

Flinders University says he was among its youngest-ever students and earned a master’s degree at 16.⁠[5]

Receives PhD from Princeton University

He studied under Elias Stein at Princeton University, received his PhD in mathematics in June 1996, and joined UCLA that year as a Hedrick Assistant Professor.⁠[1]

Becomes a Full Professor at UCLA at 24

In 2000 he was promoted to full professor of mathematics at UCLA at 24, the youngest in the university’s history.⁠[5]

Marries Laura

Posts the Primes Progressions Theorem with Ben Green

On April 8, 2004, he and Ben Green posted the paper “The primes contain arbitrarily long arithmetic progressions” on arXiv, proving that the primes contain arithmetic progressions of any length.⁠[6]

The paper was later published in Annals of Mathematics, Volume 167 (2008), Issue 2, pages 481–547.⁠[7]

Posts a Founding Paper on Compressed Sensing

On September 10, 2004, he, Emmanuel Candès, and Justin Romberg posted “Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information” on arXiv, on exactly reconstructing signals from highly incomplete frequency information.⁠[8]

Awarded the Fields Medal

In August 2006, during the International Congress of Mathematicians in Madrid, he received the Fields Medal at 31, becoming the first UCLA professor to win it.⁠[9]

Named a MacArthur Fellow

He was named to the MacArthur Foundation’s Class of 2006 Fellows at 31; the foundation highlighted his work with Allen Knutson reducing Horn’s conjecture to a geometric combinatorial configuration known as a “honeycomb.”⁠[10]

Receives the Crafoord Prize

The Royal Swedish Academy of Sciences awarded the 2012 Crafoord Prize in Mathematics, worth SEK 4 million, to him and Jean Bourgain, with the ceremony held in Lund on May 15, 2012; the announcement listed him as an Australian and American citizen.⁠[11]

Wins the Inaugural Breakthrough Prize in Mathematics

On June 23, 2014, the Breakthrough Prize in Mathematics, launched by Mark Zuckerberg and Yuri Milner, named its five inaugural laureates, including him, each receiving $3 million.⁠[12]

The citation honored his breakthroughs in harmonic analysis, combinatorics, partial differential equations, and analytic number theory; the prize page also notes his proof that every odd integer above 1 is a sum of at most five primes.⁠[13]

Awarded the Royal Medal

The Royal Society awarded him the 2014 Royal Medal for his “many deep and varied contributions to mathematics,” with the medals presented on December 1 that year.⁠[14]

Solves the Erdős Discrepancy Problem

On September 17, 2015, he posted a preprint resolving the discrepancy problem that Paul Erdős had posed around 1932; the work built in part on a 2010 Polymath online collaboration launched by Timothy Gowers.⁠[15]

Named a Carnegie “Great Immigrant”

The Carnegie Corporation of New York named him one of its 2019 “Great Immigrants” honorees, noting that he came to the United States at 16 for his PhD.⁠[16]

Posts a Major Result on the Collatz Conjecture

On September 8, 2019, he posted a proof showing that the Collatz conjecture is “almost” true for “almost all” numbers; he said he had not expected to solve the problem completely.⁠[17]

Receives the Princess of Asturias Award

The 2020 Princess of Asturias Award for Technical and Scientific Research went to him, Yves Meyer, Ingrid Daubechies, and Emmanuel Candès for their contributions to mathematical theories and techniques for data processing.⁠[18]

Appointed to PCAST

On September 22, 2021, President Joe Biden named 27 members of the President’s Council of Advisors on Science and Technology (PCAST), including him as a UCLA mathematics professor.⁠[19]

He served on PCAST until 2024 and has sat on prize committees including those for the Abel Prize and the Fields Medal.⁠[4]

Launches a MasterClass Series and Is Named Global Australian of the Year

In January 2022 he launched MasterClass’s first series on mathematical thinking, and that September he received the Global Australian of the Year award from Advance Global Australia.⁠[20]

November–December 2023: Proves Marton’s Conjecture and Formalizes It in Lean

On November 9, 2023, he, Timothy Gowers, and colleagues posted a paper proving a version of Marton’s conjecture (the polynomial Freiman–Ruzsa conjecture); he then led an effort to formalize the proof in Lean and announced its completion on December 5.⁠[21]

Launches the Equational Theories Project

From 2024 he launched or joined several online collaborations, including the Equational Theories project mapping implications between equational theories of magmas, the Lean formalization project PNT+, and, in 2025, an Erdős problems database tracking the status of problems on erdosproblems.com.⁠[22]

Becomes an Adviser to the AI for Math Fund

On December 5, 2024, Renaissance Philanthropy and XTX Markets announced the $9.2 million AI for Math Fund with him as an adviser; he said the next generation of AI tools could enable collaboration among mathematicians that was previously impossible.⁠[23]

Appears on the Lex Fridman Podcast

July–August 2025: Speaks Out Against Federal Research Funding Cuts

In July 2025 the federal government suspended about $584 million in grants to UCLA, affecting his own research grant and IPAM’s; he called the cuts “indiscriminate” and an “existential threat” to academic science. White House spokesman Kush Desai responded that federal research funding is “not a constitutional right.” On August 12 a federal judge ordered UCLA’s NSF grants restored.⁠[25]

Receives Princeton’s James Madison Medal

On February 21, 2026, Princeton University presented him with the James Madison Medal, which honors distinguished graduate alumni.⁠[3]

Appointed a Companion of the Order of Australia

In the 2026 King’s Birthday Honours he was appointed a Companion of the Order of Australia (AC), Australia’s highest civilian honor.⁠[5]

July–September 2026: Gives a Public Lecture on AI and Mathematics and Signs a Declaration

On July 24, 2026, he gave the ICM 2026 public lecture “Mathematics in the age of AI,” and on September 11 he was one of 25 initial Fields Medalist signatories of the declaration “A Severe Misalignment of AI in Mathematics.”⁠[26]

Publishes Six Math Essentials

His popular book Six Math Essentials was published by Quanta Books on October 27, 2026, introducing six core concepts: numbers, algebra, geometry, probability, analysis, and dynamics; a UK edition appeared the same day from Pelican.⁠[27]

As of October 2026: UCLA Distinguished Professor and SAIR Co-Founder

As of October 2026 he was a Distinguished Professor and the James and Carol Collins Chair in UCLA’s mathematics department, Director of Special Projects at the Institute for Pure and Applied Mathematics, and a co-founder of the Foundation for Science and AI Research (SAIR).⁠[28]

Related Organizations, Websites, and Public Accounts

Institute for Pure and Applied Mathematics: Official website: https://www.ipam.ucla.edu/ (opens in a new window)⁠[28]

Foundation for Science and AI Research: Official website: https://sair.foundation/ (opens in a new window)⁠[29]

Sources

  1. Vitae and Bibliography for Terence Tao (opens in a new window)
  2. Terence Tao (1975 - ) - Biography - MacTutor History of Mathematics (opens in a new window)
  3. Math maestro Terence Tao *96 is solving the world’s puzzles (opens in a new window)
  4. Terence Tao — Biography (opens in a new window)
  5. King’s Birthday Honour for the ‘Mozart of Math’ – News (opens in a new window)
  6. [math/0404188] The primes contain arbitrarily long arithmetic progressions (opens in a new window)
  7. The primes contain arbitrarily long arithmetic progressions | Annals of Mathematics (opens in a new window)
  8. [math/0409186] Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information (opens in a new window)
  9. Young professor wins prestigious math award - Daily Bruin (opens in a new window)
  10. Terence Tao - MacArthur Foundation (opens in a new window)
  11. The Crafoord Prize in Mathematics 2012 and The Crafoord Prize in Astronomy 2012 - Kungl. Vetenskapsakademien (opens in a new window)
  12. Five Winners Receive Inaugural Breakthrough Prize In Mathematics | Breakthrough Prize (opens in a new window)
  13. Terence Tao – 2015 Breakthrough Prize in Mathematics (opens in a new window)
  14. Royal Medal Awarded to Terence Tao - IPAM (opens in a new window)
  15. A Magical Answer to an 80-Year-Old Puzzle | Quanta Magazine (opens in a new window)
  16. Terence Tao | Carnegie (opens in a new window)
  17. Mathematician Proves Huge Result on ‘Dangerous’ Problem | Quanta Magazine (opens in a new window)
  18. IPAM’s Science Advisory Board Members Receive the 2020 Princess of Asturias - IPAM (opens in a new window)
  19. Biden Names President’s Council of Advisors on Science and Technology - AIP.ORG (opens in a new window)
  20. AMSI Congratulates Professor Terence Tao on Global Australian of the Year Award - AMSI I Championing Mathematical Sciences for Australia’s Advancement (opens in a new window)
  21. ‘A-Team’ of Math Proves a Critical Link Between Addition and Sets | Quanta Magazine (opens in a new window)
  22. Terence Tao — collaborative projects (opens in a new window)
  23. Renaissance Philanthropy and XTX Markets Launch New $9 million AI for Math Fund — Renaissance Philanthropy – A brighter future for all through science, technology, and innovation (opens in a new window)
  24. #472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI | Lex Fridman Podcast (opens in a new window)
  25. The 'Mozart of Math' rarely speaks about politics. The wide-ranging cuts to science funding made him change that. (opens in a new window)
  26. Terence Tao on AI — a living summary — Terence Tao (opens in a new window)
  27. Six Math Essentials (opens in a new window)
  28. Terence Tao — papers, books, and interactive tools (opens in a new window)
  29. The Foundation for Science and AI Research (SAIR) (opens in a new window)