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The Elusive Calculus of Insects’ Altruism and Kin Selection
...of biology and mathematics at Harvard University. Nowak doesn’t just disagree about whether kin selection and multilevel selection are equivalent; he says that the broad mathematical strokes of using Hamilton’s...
First Big Steps Toward Proving the Unique Games Conjecture
...bold conjecture is helping mathematicians explore the precise limits of computation. Kevin Hong for Quanta Magazine Video produced by the Simons Foundation, with the cooperation of the International Mathematical Union....
The Physics of Glass Opens a Window Into Biology
...to an underlying geometric minimal surface problem. Consider the following math problem: You have to tile space with a certain number of tiles, and each tile has to have the...
Four Is Not Enough
...using only around 800 points), and mathematicians are exploring whether de Grey’s techniques might be extended to get the lower bound to six colors or even seven. But some mathematicians...
Three Major Physics Discoveries and Counting
...in the 1970s, Wu did much of the math and analysis to discern the three “jets” of energy flying away from particle collisions that signaled the existence of gluons —...
A Master of Numbers and Shapes Who Is Rewriting Arithmetic
...begin.” Many mathematicians react to Scholze with “a mixture of awe and fear and exhilaration,” said Bhargav Bhatt, a mathematician at the University of Michigan who has written joint papers...
A Poet of Computation Who Uncovers Distant Truths
...started exploring the use of mathematical models to identify the causative genes for various neuropsychiatric disorders. “I use mathematics because I want to solve problems,” Nikolaos said. “He’s thinking about...
The New Science of Seeing Around Corners
...a number of nascent labs around the country. Since then, a stream of new insights and mathematical tricks has been making non-line-of-sight imaging ever more powerful and practical. Along with...
Tinkertoy Models Produce New Geometric Insights
...sticklike models — mathematicians have gained a new sense of how those properties behave. For more than 100 years, mathematicians have investigated a fact about geometric objects that is so...