Over the past decade, Professor L. Mahadevan's Soft Math Lab at the Harvard John A. Paulson School of Engineering and Applied Sciences (SEAS) has helped establish how the ancient Japanese paper arts ...

Automorphic forms lie at the heart of modern number theory and arithmetic geometry, linking analysis on symmetric spaces with deep algebraic structures. Broadly speaking, an automorphic form is a ...

Combinatorial structures encompass an array of discrete objects—permutations, set partitions, matchings, trees and lattice paths—whose enumeration and intrinsic properties are often captured by ...

In addition to ascertaining that the internal vitality of the mathematical sciences is excellent, as illustrated in Chapter 2, the current study found a striking expansion in the impact of the ...

This year has seen some amazing advancements in fundamental mathematics. Researchers have made breakthroughs in geometry, topology, chaos theory, and more. And a startling three of our top 10 ...

Computers are extremely good with numbers, but they haven’t gotten many human mathematicians fired. Until recently, they could barely hold their own in high school-level math competitions. But now ...

For the past several years, America has been using its young people as lab rats in a sweeping, if not exactly thought-out, education experiment. Schools across the country have been lowering standards ...

The “Discrete Mathematics” quest in The Outer Worlds 2 comes with a hefty stack of obstacles, starting with its pickup point. You’ll have to avoid explosives, defeat invisible enemies, and solve a ...

Fifty years ago, “fractal” was born. In a 1975 book, the Polish-French-American mathematician Benoit B. Mandelbrot coined the term to describe a family of rough, fragmented shapes that fall outside ...

Researchers at New York University have devised a mathematical approach to predict the structures of crystals—a critical step in developing many medicines and electronic devices—in a matter of hours ...