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Riemann hypothesis
number theory
Mathematicians Clear Hurdle in Quest to Decode Primes
Paul Nelson has solved the subconvexity problem, bringing mathematicians one step closer to understanding the Riemann hypothesis and the distribution of prime numbers.
number theory
How I Learned to Love and Fear the Riemann Hypothesis
A number theorist recalls his first encounter with the Riemann hypothesis and breaks down the math in a new Quanta video.
Abstractions blog
In Mathematics, It Often Takes a Good Map to Find Answers
Mathematicians try to figure out when problems can be solved using current knowledge — and when they have to chart a new path instead.
Quantized Columns
Remembering the Unstoppable Freeman Dyson
Freeman Dyson — physicist, mathematician, writer and idea factory — died on February 28, but his vitality lives on.
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.
number theory
In the Universe of Equations, Virtually All Are Prime
Equations, like numbers, cannot always be split into simpler elements.
In Theory
The Universal Pattern Popping Up in Math, Physics and Biology
Quanta’s In Theory video series returns with an exploration of a mysterious mathematical pattern found throughout nature.
2018 Fields Medal and Nevanlinna Prize
A Number Theorist Who Bridges Math and Time
Akshay Venkatesh, a former prodigy who struggled with the genius stereotype, has won a Fields Medal for his “profound contributions to an exceptionally broad range of subjects in mathematics.”