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What's up in
arithmetic geometry
Multimedia
The Map of Mathematics
Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.
Quantized Columns
The Subtle Art of the Mathematical Conjecture
It’s an educated guess, not a proof. But a good conjecture will guide math forward, pointing the way into the mathematical unknown.
2018 Fields Medal and Nevanlinna Prize
A Master of Numbers and Shapes Who Is Rewriting Arithmetic
The 30-year-old math sensation Peter Scholze is now one of the youngest Fields medalists for “the revolution that he launched in arithmetic geometry.”
Abstractions blog
Handicapping the 2018 Fields Medal
Peter Scholze is a favorite to win one of the highest honors in mathematics for his contributions in number theory and geometry.
profiles
The Oracle of Arithmetic
At 28, Peter Scholze is uncovering deep connections between number theory and geometry.