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This blog aims to show that mathematics is beautiful, useful and fun. The singular value decomposition has all these qualities. It is very elegant, and has a wide range of useful applications

via Singularly Valuable SVD.

The invariant subspace problem is still a problem

The invariant subspace problem is solved for Hilbert spaces?

The Lesson of Grace in Teaching

The random graph, 4.

Schur complement

via Matrix identities as derivatives of determinant identities.

An introduction to special relativity for a high school math circle.

Readings for Math Teachers.

Topics in random matrix theory.

Multiple recurrence in quasirandom groups.

Ethnomathematics… in the Classroom.

MOOCs and Hype Again.

Tweet via Keith Devlin ‏@profkeithdevlin
There is not one but TWO MOOC revolutions going on. My new post at

Coming up for air (and spouting off).

Careers advice in Mathematical Sciences.

The closed graph theorem in various categories.

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