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2023’s Biggest Breakthroughs in Math
In 2023, mathematicians improved bounds on Ramsey numbers, a central measure of order in graphs; found a new aperiodic monotile; and discovered a new upper bound to the size of sets without 3-term arithmetic progressions.
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Ed Boyden on the Promise of Expansion Microscopy
Ed Boyden explains how expansion microscopy could illuminate deep mysteries about how the brain works and improve cancer diagnosis, among other advances.
Richard Schwartz: In Praise of Simple Problems
Mathematician Richard Schwartz talks about why he’s attracted to the hidden depths of simple problems.
Corina Tarnita: First Understand Nature’s Rules
Corina Tarnita argues that to fully appreciate nature, you must first understand its rules.
Minhyong Kim: Connecting Number Theory to Physics
Minhyong Kim wanted to make sure he had concrete results in number theory before he admitted that his ideas were inspired by physics.
Federico Ardila: A Mathematician Who Dances to the Joys and Sorrows of Discovery
Federico Ardila on the joys and challenges of teaching math and helping students find their mathematical voice.
Michael Assis: The Atomic Theory of Origami
Michael Assis demonstrates how defects can be used to tune the properties of Miura-ori origami.
Rebecca Goldin: Why Math Is the Best Way to Make Sense of the World
Rebecca Goldin explains why quantitative literacy is so important.
Nigel Goldenfeld: Seeing Emergent Physics Behind Evolution
Nigel Goldenfeld explains how condensed matter physics provides insights into the collective state of early life on Earth.
Neil Johnson: A Physicist Who Models ISIS and the Alt-Right
Neil Johnson on the physics of collective human behavior.