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When Computers Write Proofs, What’s the Point of Mathematicians?
Andrew Granville muses on how artificial intelligence could profoundly change math.
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The Riemann Hypothesis, Explained
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The High Schooler Who Solved a Prime Number Theorem
Math’s Famous Map Problem: The Four-Color Theorem
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Hod Lipson Builds Consciousness Into a Robot
The roboticist Hod Lipson, the director of the Creative Machines Lab at Columbia University, uses robots to explore ancient questions about how people think.
Lee Smolin on the Impossibility of Studying the Universe
Lee Smolin explores the problem of understanding the universe from the perspective of being inside the universe, as well as the need for physicists to know philosophy.
Amie Wilkinson on the Mathematics of Change
The mathematician Amie Wilkinson explains how dynamics lets mathematicians explore the fundamentals of change.
Edward O. Wilson on the Evolution of Social Behaviors
Edward O. Wilson, professor emeritus at Harvard University, is the influential naturalist and evolutionary theorist who introduced the concept of “sociobiology,” as well as one of the world’s leading experts on ants. Here, he explains the relevance of evolved insect behaviors to human nature.
What Are Feynman Diagrams?
The physicist Richard Feynman devised a system of line drawings that simplified calculations of particle interactions and helped rescue the field of quantum electrodynamics.
Jim Gunn on Building Astronomical Instruments
The lauded astronomer Jim Gunn explains how a new spectrograph he is building will advance astronomy.
Ecologist Jennifer Dunne on Humans’ Place in Food Webs
Jennifer Dunne of the Santa Fe Institute explains how reconstructions of food webs in past ecosystems help ecologists understand both the unusual niche of humans and new clues to a more sustainable civilization.
CRISPR Pioneer Jennifer Doudna on Its Research Promise
Jennifer Doudna, one of the coinventors of CRISPR technology, discusses how her work on bacterial defenses against viruses helped lead to a discovery with a revolutionary impact on biological research.
Priyamvada Natarajan: How Black Holes Shape Galaxies
Priyamvada Natarajan explains the role of supermassive black holes in the structure and evolution of the universe.