2018 Fields Medal and Nevanlinna Prize
A Poet of Computation Who Uncovers Distant Truths
The theoretical computer scientist Constantinos Daskalakis has won the Rolf Nevanlinna Prize for explicating core questions in game theory and machine learning.
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.”
computational complexity
First Big Steps Toward Proving the Unique Games Conjecture
The latest in a new series of proofs brings theoretical computer scientists within striking distance of one of the great conjectures of their discipline.
Abstractions blog
The Infinite Primes and Museum Guard Proofs, Explained
A simple, step-by-step breakdown of two “perfect” math proofs.
Q&A
In Search of God’s Perfect Proofs
The mathematicians Günter Ziegler and Martin Aigner have spent the past 20 years collecting some of the most beautiful proofs in mathematics.
network science
Scant Evidence of Power Laws Found in Real-World Networks
A new study challenges one of the most celebrated and controversial ideas in network science.
Q&A
A Mathematician Who Dances to the Joys and Sorrows of Discovery
Federico Ardila opens up about his journey as a mathematician, teacher, Colombian transplant, DJ and creator of mathematical spaces.
number theory
Mathematicians Find Moonshine Link for Pariah Symmetries
A type of symmetry so unusual that it was called a “pariah” turns out to have deep connections to number theory.
game theory
In Game Theory, No Clear Path to Equilibrium
John Nash’s notion of equilibrium is ubiquitous in economic theory, but a new study shows that it is often impossible to reach efficiently.