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Langlands program
Langlands program
New Shape Opens ‘Wormhole’ Between Numbers and Geometry
Laurent Fargues and Peter Scholze have found a new, more powerful way of connecting number theory and geometry as part of the sweeping Langlands program.
2020 in Review
The Year in Math and Computer Science
Even as mathematicians and computer scientists proved big results in computational complexity, number theory and geometry, computers proved themselves increasingly indispensable in mathematics.
Abstractions blog
An Infinite Universe of Number Systems
The p-adics form an infinite collection of number systems based on prime numbers. They’re at the heart of modern number theory.
Abstractions blog
The ‘Useless’ Perspective That Transformed Mathematics
Representation theory was initially dismissed. Today, it’s central to much of mathematics.
Langlands program
‘Amazing’ Math Bridge Extended Beyond Fermat’s Last Theorem
Mathematicians have figured out how to expand the reach of a mysterious bridge connecting two distant continents in the mathematical world.
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.”
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
Robert Langlands, Mathematical Visionary, Wins the Abel Prize
Generations of researchers have pursued his “Langlands program,” which seeks to create a grand unified theory of mathematics.
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.