Researchers have uncovered deep connections among different types of random objects, illuminating hidden geometric structures.
A satellite spotted a burst of light just as gravitational waves rolled in from the collision of two black holes. Was the flash a cosmic coincidence, or do astrophysicists need to rethink what black holes can do?
The physicist Subir Sachdev borrows tools from string theory to understand the puzzling behavior of high-temperature superconductors.
Three years ago, a solitary mathematician released an impenetrable proof of the famous abc conjecture. At a recent conference dedicated to the work, optimism mixed with bafflement.
A new breakthrough that bridges number theory and geometry is just the latest triumph for a close-knit group of mathematicians.
The polymath Christoph Adami is investigating life’s origins by reimagining life as self-perpetuating information strings.
A recent cryptographic breakthrough has proven difficult to put into practice. But new advances show how near-perfect computer security might be surprisingly close at hand.
A new technique for finding and characterizing microbes has boosted the number of known bacteria by almost 50 percent, revealing a hidden world all around us.
The Fields medalist Vladimir Voevodsky has died at 51. This 2015 article describes his computer-aided quest to eliminate human error and rewrite the century-old rules underlying all of mathematics.
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