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Unfolding the Mysteries of Polygonal Billiards
...foremost mathematicians to bring in ideas from disparate fields including dynamical systems, topology and differential geometry. As with any great mathematics problem, work on these problems has created new mathematics...
Elliptic Curve ‘Murmurations’ Found With AI Take Flight
Mathematicians are working to fully explain unusual behaviors uncovered using artificial intelligence. Elliptic curves are among the more beguiling objects in modern mathematics. They don’t seem complicated, but they form...
What Can Tiling Patterns Teach Us?
...might reveal about the natural world. Natalie is a professor of mathematics and statistics at Vassar College. Her research is primarily on two-dimensional hierarchical tilings, which are mathematical models for...
Grad Students Find Inevitable Patterns in Big Sets of Numbers
...the Massachusetts Institute of Technology. Since then, the pair have written a mind-boggling 57 math proofs together, many of them profound advances in various fields. In February, Sah and Sawhney...
New Elliptic Curve Breaks 18-Year-Old Record
Two mathematicians have renewed a debate about the fundamental nature of some of math’s most important equations. In August, a pair of mathematicians discovered an exotic, record-breaking curve. In doing...
The Jagged, Monstrous Function That Broke Calculus
...everything from math and physics to penmanship and gymnastics. Weierstrass didn’t begin his career as a professional mathematician until he was nearly 40. But he would go on to transform...
How Did Multicellular Life Evolve?
...bringing it up, not just to tell my own story, but because I get the feeling you’re some kind of math, physics, computer-ish kind of person. Is this true? RATCLIFF:...
What Is the True Promise of Quantum Computing?
...big part of computer science, called the Recommendation Problem. How did you get introduced to the Recommendation Problem? You’re a very young researcher. You’re interested in higher math, and you...
When ChatGPT Broke an Entire Field: An Oral History
...they are. This winter, Ian Agol, a mathematician at the University of California, Berkeley, posted a six-page paper that proved Gordon’s conjecture, giving mathematicians a new way to order knots...