Over the last few years Deep Learning was applied to hundreds of problems, ranging from computer vision to natural language processing. In many cases Deep Learning outperformed...

Einstein made several predictions in his general theory of relativity, most of which were confirmed quite rapidly (the most famous one is considered to be...

Mathematics is universal in its application, but united in its foundations. Check out a video that shows this in two minutes. I recommend watching it...

Here is a great article by V. I. Arnold on teaching mathematics. The synopsis is that Mr. Arnold claims that mathematics should be taught as a...

A problem from class. Fix an function . Define the translation mapping sending . How does one prove that is continuous at ? We begin by...

This is a supplement to one of my analysis discussion sessions. We will now prove a fascinating result in measure theory: there are no -algebras...

This is a joined talk with Jordan Schettler connecting Number Theory and Quantum Chaos. It was given at the graduate colloquium at the math department...

These are the lecture notes of a talk I gave in the Graduate Mathematical Physics Seminar at the University of Arizona on Wednesday September 3,...

This is a term paper Michael James Gilbert and I wrote for the course Topology & Geometry (Spring 2007), taught by Prof. Hermann Flaschka. The term paper is...

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