In August, a team of mathematicians posted a paper claiming to solve a major problem in algebraic geometry — using entirely alien techniques. It instantly captivated the field, stoking excitement in ...

Julia Kagan is a financial/consumer journalist and former senior editor, personal finance, of Investopedia. Yarilet Perez is an experienced multimedia journalist and fact-checker with a Master of ...

Elizabeth Guevara is a personal finance reporter who explains the world of business and economics and how it impacts your finances. She joined Investopedia in 2024. zeljkosantrac / Getty Images The ...

It's rare these days for an artist to ask for fewer microphones, but after warming up in our space, Billy Strings did just that. Surrounded by his band, the bluegrass virtuoso brings back the spirit ...