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Secret Blogging Seminar

A group blog by 8 recent and future Berkeley mathematics Ph.D.'s. Commentary on our own research, other mathematics pursuits and whatever seems like writing about on any given day.
Secret Blogging Seminar  
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The technical part of Godel's proof

Dec 7, 2009
We’ll start with a puzzle, taken from Hofstader’s Godel, Escher, Bach. In this puzzle, we are going to learn to speak in a restricted language. We will be talking about integers, so our variables will always stand for integers. We have available to us...

The diamond lemma

Nov 20, 2009
A few results 1 (Bjorner, Eidelman and Ziegler) Suppose we have a finite collection of great circles on a sphere, none of them through the north or nouth pole. Let be the set of regions in the complement of these circles, and suppose that every...

Quantum mechanics and geometry

Nov 16, 2009
Here’s a nice little story about quantum mechanics, which surprisingly few mathematicians seem to know about. The essential idea is “quantum mechanics on the projective space looks remarkably like classical mechanics”! Everything I say here comes from...

Why is physical intuition possible?

Nov 16, 2009
This post is based on a conversation I had with Allan Adams at Mathcamp a few summers ago, and I was reminded of it by an aside in Mike Freedman’s talk in Scott’s backyard on Friday. As usual with blog posts based on other people’s talks, all good...

Choosing problems for grad. students

Nov 11, 2009
I am coming to the point in my career where I will be expected to take graduate students, and I’d like some advice about finding problems for them. How responsible am I for making sure that a problem is solvable and not already under attack elsewhere?...


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