Mathematicians made major progress in 2022, solving a centuries-old geometry question called the interpolation problem, proving the best way to minimize the surface area of clusters of up to five bubbles, and proving a sweeping statement about how structure emerges in random sets and graphs.

Almost a century ago, Albert Einstein realized that the equations of general relativity could produce wormholes. But it would take a number of theoretical leaps and a “crazy” team of experimentalists to build one on Google's quantum computer.

In his senior year of high school, Daniel Larsen proved a key theorem about Carmichael numbers — strange entities that mimic the primes. “It would be a paper that any mathematician would be really proud to have written,” said one mathematician. Read more at Quanta Magazine: https://www.quantamagazine.org/teenager-solves-stubborn-riddle-about-prime-number-look-alikes-20221013

"Students haven't been taught that math is discovery," says Richard Rusczyk, founder of Art of Problem Solving. "Math is a creative discipline—you're creating castles in the sky." Rusczyk has a vision for bringing “joyous, beautiful math” — and problem-solving — to classrooms everywhere. Read more at Quanta Magazine: https://www.quantamagazine.org/richard-rusczyk-is-a-math-evangelist-who-preaches-problem-solving-20220913/

Condensed matter physics is the most active field of contemporary physics and has yielded some of the biggest breakthroughs of the past century. But as rapidly as technology has advanced, scientists have only scratched the surface. Now for the first time, Jie Shan and Fai Mak, a married couple of physicists at Cornell University, have figured out a way to create artificial atoms in the lab, opening the door to a new era in research.

As an evolutionary biochemist at University College London, Nick Lane explores the deep mystery of how life evolved on Earth. His hypothesis that life arose through primitive metabolic reactions in deep-sea hydrothermal vents illuminates the outsized role that energy may have played in shaping evolution.

In a 1967 letter to the number theorist André Weil, a 30-year-old mathematician named Robert Langlands outlined striking conjectures that predicted a correspondence between two objects from completely different fields of math. The Langlands program was born. Today, it's one of the most ambitious mathematical feats ever attempted. Its symmetries imply deep, powerful and beautiful connections between the most important branches of mathematics. Many mathematicians agree that it has the potential to solve some of math's most intractable problems, in time, becoming a kind of “grand unified theory of mathematics," as the mathematician Edward Frenkel has described it. In a new video explainer, Rutgers University mathematician Alex Kontorovich takes us on a journey through the continents of mathematics to learn about the awe-inspiring symmetries at the heart of the Langlands program, including how Andrew Wiles solved Fermat's Last Theorem.

More than three years after the release of the first-ever image of a black hole, scientists from the Event Horizon Telescope (EHT) shared an image of Sagittarius A* (pronounced A-star) — the supermassive specimen sitting at the center of our own Milky Way galaxy. In this video, EHT's astronomers, astrophysicists and data scientists explain the science behind the big discovery.