Physicists use the Navier-Stokes equations to describe fluid flows, taking into account viscosity, velocity, pressure and density. But because of turbulence in fluids, proving that the equations always make sense is one of the hardest problems in physics and mathematics.

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Physicist Jeff Gore of the Massachusetts Institute of Technology discusses the puzzle of high diversity in ecosystems, and how his background in physics has influenced his experimental approach to studying ecology.

Carlos Gershenson explains how principles of adaptation and self-organization can help transportation systems beat traffic jams and other urban mobility problems.

By turning higher category theory on itself, Riehl hopes to make the powerful perspective more accessible to other mathematicians.

Riehl talks about how higher category theory is like the viola, why she’s drawn to expository writing, and the responsibility mathematicians have to address social justice issues.

Claudia de Rham explains why gravity is so fundamental to our understanding of everything in the universe.

The microbial ecologist John Priscu of Montana State University discusses what led him to seek life beneath the barren, frozen wastes of Antarctica — and how his discoveries there are shaping the search for life on other worlds.

Liz MacDonald discusses what more people should know about the auroras.

James Maynard talks about why he’s obsessed with prime numbers.

Katie Mack describes the most likely scenario for the end of the universe.

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