Emily Riehl: Mathematician, Musician, Educator

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Emily Riehl: Mathematician, Musician, Educator

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.


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2024 Biggest Breakthroughs in Biology

December 19, 2024

We look back at three of the biggest biology stories of 2024: a reconstruction of the ancient ancestor of all modern life, the discovery of a neural circuit that regulates the immune system, and artificial intelligence’s transformation of protein science.

2024 Biggest Breakthroughs in Physics

December 17, 2024

A look back at three of the biggest stories in physics this year, including evidence that dark energy may be weakening, the discovery of a supersolid, and new advances in quantum geometry.

2024 Biggest Breakthroughs in Math

December 16, 2024

We investigate three of 2024’s biggest breakthroughs in mathematics, including a better way to pack spheres in high dimensions, a new way to avoid forming patterns of numbers, and an 800-page proof of the so-called geometric Langlands conjecture.

Space-Time: The Biggest Problem in Physics

September 25, 2024

What is the deepest level of reality? In this Quanta explainer, Vijay Balasubramanian, a physicist at the University of Pennsylvania, takes us on a journey through space-time to investigate what it’s made of, why it’s failing us, and where physics can go next.

Searching for Dark Matter with a Tabletop ‘Quantum Compass’

May 31, 2024

The physicist Alex Sushkov has developed one of the most targeted magnetic resonance experiments to date with the aim of detecting a hypothetical dark matter particle called the axion.

Can Large Language Models Understand ‘Meaning’?

April 29, 2024

Brown University computer scientist Ellie Pavlick is translating philosophical concepts such as “understanding” and “meaning” into concrete ideas that are testable on LLMs.

Predicting Eclipses: The Three Body Problem

April 5, 2024

Solar eclipse prediction has driven innovation across the history of science and mathematics, from the Saros cycle to Greek geometry to Newton’s calculus to the three-body problem.

Understanding Cryptography With These Five Worlds

March 27, 2024

Russell Impagliazzo describes the five possible cryptographic worlds we might inhabit.

Why Is This Basic Computer Science Problem So Hard?

March 8, 2024

Computer scientists have long used vector addition systems to model how certain programs work, but they didn’t have a full understanding of how complicated they could be. Recent work has finally pinned it down, showing that these problems are far more complicated than they seem.