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Mathematics
Problem 36.pdf
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#Geometry📐📏
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Terence Tao
Born:
17 July 1975
South Australia, Australia🇦🇺
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🔵🔵 His research topics include:

Harmonic analysis
Partial differential equations
Additive combinatorics
Number theory

🔴🔴 Awards

🏅Fields Medal (2006)
🏅Royal Society Fellow (2007)
🏅Clay Millennium Prize Problems – Navier-Stokes existence and smoothness  (2014)
🏅Breakthrough Prize in Mathematics (2015)

⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️

Terence Tao, often referred to as the "Mozart of Math," showed extraordinary talent from an early age.

🏅1986:
At the age of 10, he became the youngest participant to win a bronze medal at the International Mathematical Olympiad (IMO).

🏅1988:
He earned a silver medal at the IMO, followed by a gold medal in 1989, achieving a perfect score, all before the age of 15.

🏅1996:
Tao received his Ph.D. from Princeton University at the age of 20, under the supervision of Elias Stein.

🏅2006:
Awarded the Fields Medal for his contributions to partial differential equations, combinatorics, harmonic analysis, and additive number theory.

🏅2020:
Tao was awarded the Riemann Prize in recognition of his contributions to the field of mathematics.

Currently, Tao is a professor at UCLA, continuing his groundbreaking research. He is known for his collaborative approach, having co-authored over 300 research papers with more than 70 mathematicians. His work often bridges different areas of mathematics, making significant impacts across various fields.

🎓 Google scholar: https://scholar.google.com/citations?hl=en&user=TFx_gLQAAAAJ

ℹ️ More information: https://en.m.wikipedia.org/wiki/Terence_Tao
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Problem 37.pdf
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Mathematics
Problem 37.pdf
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Mathematics
Problem 37.pdf
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Mathematics
Problem 37.pdf
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Problem 38.pdf
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Mathematics
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Prime Gaps.pdf
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From a 70-Million Bound to Just 246: The Electrifying Story of Prime Gaps

For centuries, the twin prime conjecture seemed untouchable. Mathematicians couldn't even prove that any finite gap between primes occurs infinitely often.
Then, in 2013, a stunning breakthrough by Yitang Zhang proved the gap was less than 70,000,000. In less than a year, a global collaborative effort slashed that number to 246.

How did this happen? What new ideas unlocked a problem that was stuck for centuries? Dive into the full story, from the GPY sieve to the Maynard-Tao breakthrough, in the attached PDF.

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2025/09/18 22:32:02
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