Understanding of geometry is innate, and cannot be learnt. Discuss.

Justin Mullins, a British artist, takes photographs of mathematical equations and diagrams. He currently has an exhibition of his work at Lauderdale House, in Highgate, London, UK.

I spotted an interesting paper on arXiv with a totally self-explanatory title: On the uniformization of algebraic curves.

All analysts are uptight nerds and all algebraists are dirty hippies. Discuss.

A couple of years ago, the Notices of the AMS featured an article on noncommutative geometry a la Connes: Quantum Spaces and Their Noncommutative Topology by Joachim Cuntz. The hallmark of this approach is the heavy reliance on K theory. The first few pages of the article are fairly elementary (and full of intriguing pictures), before the K theory takes over.

I’ve come across an interesting weblog devoted to the philosophy of mathematics: Philosophy of Real Mathematics, by David Corfield.

Mathematical skills and aptitude are best examined by oral examinations, not written ones. Discuss.

according to a report in the latest PLUS e-magazine.

H. Jerome Keisler has made freely available his calculus textbook, Elementary Calculus: An Approach Using Infinitesimals. The book is based on Abraham Robinson’s rigorous foundations for infinitesimals.