## Gnarly, Centuries-Old Mathematical Quandaries Get New Solutions

A set of puzzles called Diophantine problems are often simple to state but hard to solve—though progress could have big implications for the future of mathematics

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Mathematics

A set of puzzles called Diophantine problems are often simple to state but hard to solve—though progress could have big implications for the future of mathematics

October 14, 2021 — Rachel Crowell

Mathematics

A new model could help model disease transmission and urban planning

October 7, 2021 — Viviane Callier

Mathematics

Mathematicians have expanded category theory into infinite dimensions, revealing new connections among mathematical concepts

September 14, 2021 — Emily Riehl

Mathematics

The size of certain infinite sets has been a mystery. Now, it turns out, each one is different than the next, and they can all be ordered by size

August 16, 2021 — Martin Goldstern and Jakob Kellner

Mathematics

Mathematicians want to think their field is a meritocracy, but bias, harassment and exclusion persist

August 12, 2021 — Rachel Crowell

Quantum Physics

The story of a macroscopic quantum system and a mathematical odyssey

August 11, 2020 — Spyridon Michalakis

Quantum Physics

Stemming from the “F-theory” branch of string theory, each solution replicates key features of the standard model of particle physics

March 28, 2019 — Anil Ananthaswamy

Mathematics

So what are they, anyway?

January 22, 2019 — Susan D'Agostino

Food

Books and recommendations from *Scientific American*

May 29, 2015 — Clara Moskowitz