The 2026 Fields Medal, one of the world’s most prestigious mathematics prizes, has just been awarded to four pioneering young researchers — including mathematician Hong Wang, the third woman ever to win the prize in the 90 years since the award was established.

The Fields Medal is an award presented every four years to mathematicians under the age of 40 for their outstanding discoveries. The International Mathematical Union announced Thursday (July 23) that Wang, a professor at New York University, is among the four recipients of the 2026 medal for her work on a decades-old conjecture about how needles move in 3D spaces. .

The 2026 Fields Medal winners also include Yu Deng of the University of Chicago, who was recognized for connecting microscopic and macroscopic descriptions of gases; John Pardon of Stony Brook University, whose work solved major problems in topology and geometry; and Jacob Tsimerman of the University of Toronto, who developed powerful new techniques in algebraic geometry that have advanced progress on longstanding mathematical puzzles.

Wang joins an exceptionally small group of women to receive the Fields Medal. Iranian mathematician Maryam Mirzakhani was the first, in 2014, followed by Ukrainian mathematician Maryna Viazovska in 2022. No woman received the award at all in the nearly 80 years before Mirzakhani's win.

Wang was recognized for her work on the Kakeya conjecture, a problem that asks how little space is needed to rotate a needle so that it points in every possible direction in three dimensions. Mathematicians had chased a solution for roughly 50 years.

Working with collaborator Joshua Zahl, Wang showed that if you track every direction the needle could point as a bundle of thin tubes, there's a precise trade-off between how thin those tubes are and how much total space they must occupy. Solving the puzzle required tools from harmonic analysis, a field that studies how complex shapes and signals can be broken down into simpler pieces.

The proof wasn't a triumphant moment for Wang, at least not right away. She and Zahl spent months checking their 127-page proof before making it public — and even then, Wang worried that their argument might be unclear. The paper nonetheless earned comparisons to a "once-in-a-century" result and set off a string of honors culminating in the Fields Medal, according to Quanta Magazine.

The 2026 Fields Medals were presented during the International Congress of Mathematicians in Philadelphia. The first Fields Medal was awarded in 1936. So far, 65 men have received the award.

Astronauts have grown a common crystal in space — but this extraterrestrial version is exhibiting a very uncommon behavior. Under a microscope, the crystal looks more like a tiny futuristic sculpture than something that formed naturally. The pyramid-like assembly curls in on itself in stair-stepped layers, seeming almost too orderly to be real. But according to scientists, the striking shape is what happens when gravity stops calling the shots.

The image, shared on July 18 by NASA astronaut Don Pettit, and accompanying video were captured aboard the International Space Station (ISS) and show potassium chloride crystals growing in microgravity — the near-weightless environment experienced in orbit.

Microgravity isn't quite zero gravity; astronauts experience a gravitational pull roughly a million times weaker than on Earth's surface, Anne Wilson, a professor of chemistry and biochemistry at Butler University, told Live Science. That reduction in gravity's tug has profound impacts on the human body, and, as the new image shows, completely changes how liquids and crystals behave as well.

"[Other] forces start to become far more pronounced than gravity forces," Wilson said, pointing to molecular attraction and polarity as two influences that suddenly take over once gravity fades into the background.

Those conditions enable potassium chloride — a common salt used as a sodium substitute in foods and sports drinks — to crystallize in ways that are nearly impossible to reproduce in a terrestrial lab.

On Earth, growing crystals eventually get heavy enough to sag, break or settle at the bottom of their container. But in microgravity, they keep growing outward from wherever they started.

Potassium chloride naturally forms cube-shaped crystals, Wilson said. In microgravity, those crystals grow mainly from their edges and corners instead of across their faces, leaving the center hollow and creating the striking pyramid-like structures seen in the image.

Scientists call this pattern hopper growth, and it isn't unique to potassium chloride (ordinary table salt forms the same way). As new corners emerge during growth, the crystal can change direction entirely, producing the elegant scrolling pattern visible in the new image.

While the crystal is visually stunning, the science behind it could prove just as valuable. Materials grown without gravity's interference often form with fewer defects, giving researchers a rare look at what a truly "ideal" structure looks like. This insight could help refine manufacturing processes for semiconductors and other advanced materials back on Earth.

For Wilson, images like this serve another purpose: inspiring curiosity.

"I love seeing videos of how things behave in space," she said. "Who would think that something as simple as potassium chloride could still be super cool?"

ISS astronauts spend a significant amount of their time conducting science experiments that would be near-impossible on Earth. Recently, astronauts used the space station’s newly upgraded Cold Atom Laboratory to create and study an elusive fifth state of matter called the Bose-Einstein condensate. And last year, researchers demonstrated how moss spores exposed to space for nine months on the outside of the ISS continued to grow after being returned to Earth.