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A Triplet Tree Forms One of the Most Beautiful Structures in Math
The Markov numbers reveal the secrets of irrational numbers and the patterns of the Fibonacci sequence. But there’s one question about them that has resisted proof for over a century.
Extra-Long Blasts Challenge Our Theories of Cosmic Cataclysms
Astronomers thought they had solved the mystery of gamma-ray bursts. A few recent events suggest otherwise.
She Studies How Addiction Hijacks Learning in the Brain
Erin Calipari works to understand how drugs like opioids and cocaine alter learning circuits and neurochemistry in one of the country's epicenters of substance use disorder and addiction.
‘A-Team’ of Math Proves a Critical Link Between Addition and Sets
A team of four prominent mathematicians, including two Fields medalists, proved a conjecture described as a “holy grail of additive combinatorics.”
The (Often) Overlooked Experiment That Revealed the Quantum World
A century ago, the Stern-Gerlach experiment established the truth of quantum mechanics. Now it’s being used to probe the clash of quantum theory and gravity.
An Easy-Sounding Problem Yields Numbers Too Big for Our Universe
Researchers prove that navigating certain systems of vectors is among the most complex computational problems.
A Century Later, New Math Smooths Out General Relativity
Mathematicians prove a theorem that illuminates the geometry of universes with tiny amounts of mass.
The New Quest to Control Evolution
Modern scientists aren’t content with predicting how life evolves. They want to shape it.
Evolving Bacteria Can Evade Barriers to ‘Peak’ Fitness
Paradoxically, natural selection can sometimes seem to block organisms from evolving useful adaptations. But a new study of “fitness landscapes” and antibiotic resistance in bacteria shows that life still finds a way.