Category Archives: Theoretical Mathematics

Tangled Up in Low-Dimensional Topology

Low Dimensional Topology is, logically enough, a blog about low-dimensional topology. Authors Ryan Budney, Nathan Dunfield, Jesse Johnson, Daniel Moskovich, and Henry Wilton write about 2-, 3-, and 4-manifolds, knot theory, quantum topology, and more Heegaard splittings than you can … Continue reading

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Platonic Solids, Symmetry, and the Fourth Dimension

On his blog Azimuth, John Baez has been posting a series called “Symmetry and the Fourth Dimension.” He writes: “The idea is to start with something very familiar and then take it a little further than most people have seen…without … Continue reading

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Narrowing the Gap

A group of seasoned mathematicians including Terence Tao are working to improve on Yitang Zhang’s exciting recent proof that there are infinitely many pairs of consecutive primes separated by no more than 70 million.  A glance at the polymath8 wiki … Continue reading

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World Science Festival is happening now! (And there’s a lot about math going on)

A Physicist, two Mathematicians and a Philosopher walk into a room and start to discuss infinity.  This sounds like the set up to a great joke.  But it’s actually one of the events that will occur tonight at 8:00PM EST … Continue reading

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This Week in Number Theory

By now you’ve probably heard the announcements of two big results in number theory: Yitang Zhang of the University of New Hampshire proved that there are infinitely many pairs of primes whose differences are under 70 million, and Harald Helfgott … Continue reading

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