When Nathan Klein started his graduate studies two years ago, his advisers came up with a modest plan: to work together on one of the best-known and oldest problems in…

Continue Reading“In a crazy weekend, I spent 12 hours a day [on it], “she said.” It was totally addicting. “ Other mathematicians speak of experience in the same way. They say…

Continue ReadingIn the 1940s, pioneering physicists have come upon the next layer of reality. The particles were outside, and the fields – vast, undulating entities that filled space like an ocean…

Continue ReadingLike a top A mid-1990s student Pace Nielsen encountered a mathematical question that he still wrestles with to this day. But he doesn’t feel bad: The problem that captivated him,…

Continue ReadingMathematicians have spent over 2,000 years dissecting the structure of the five Platonic solids – the tetrahedron, cube, octahedron, icosahedron, and dodecahedron – but there is still a lot we…

Continue ReadingTypically, to prove Keller’s conjecture in dimension n, you use dice with n points and try to find a size 2 cliquenot. You can think of this clique as representing…

Continue ReadingA pair of mathematicians have solved the first piece of one of the most famous conjectures about the additive properties of integers. Proposed over 60 years ago by the legendary…

Continue ReadingTo see how substitution works, consider the formula (∃X) (X = sy). (It reads: “There is a variable x which is the successor of y“Or, in short,”y has a successor.…

Continue ReadingIn mid-March, the mathematicians Joshua Greene and Andrew Lobb found themselves in the same situation: locked down and struggling to adjust while the Covid-19 pandemic grew outside their doors. They…

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