Gerd Faltings proved a conjecture that had been unsolved for six decades, using connections between numbers and geometry.
Several of the Earth’s systems are changing faster than predicted as global temperatures rise, scientists say.
At least 20 young adults are believed to be infected, and two have died, in an outbreak of meningococcal disease in the county of Kent, in southeast England.
In India, China and several other nations, Novo Nordisk is on the verge of losing patent protection for its blockbuster weight loss drug, opening the door for cheaper competing versions.
A judge ruled in December that the agency could not cancel a program that had helped states invest billions of dollars in disaster readiness.
In a stroke of luck, astronomers saw the comet C/2025 K1 (ATLAS) break into four or five fragments in November after it passed close to the sun.
An environmental engineer, he invented a biological method to remove nitrogen and phosphorous from wastewater, an advance that transformed the industry worldwide.
At least 20 young adults are believed to be infected, and two have died, in an outbreak of meningococcal disease in the county of Kent, in southeast England.