Videos

By clicking to watch this video, you agree to our privacy policy.

The Biggest Breakthroughs in Mathematics: 2025

2025 marked a historic year in mathematics. Researchers solved a major case of Hilbert’s ambitious sixth problem, proved a sweeping new theorem about hyperbolic surfaces, and settled the longstanding three-dimensional Kakeya conjecture.

Explore All Videos

The Bold Quest to Launch the Internet in Space

October 21, 2020

Vinton Cerf discusses the challenges of creating an interplanetary internet.

Physicist Jeff Gore’s Statistical Approach to Ecology

October 13, 2020

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.

Urban Traffic and Complex Systems — Carlos Gershenson

September 28, 2020

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

Emily Riehl Is Rewriting Higher Category Theory

September 2, 2020

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

Emily Riehl: Mathematician, Musician, Educator

September 2, 2020

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: “Gravity Is the Law That Makes Everything Happen”

August 18, 2020

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

John Priscu and the Search for Life Under Ice

July 20, 2020

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 on the strangest auroras in the world.

July 9, 2020

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

James Maynard Solves the Hardest Easy Math Problems

June 30, 2020

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