Electromagnetic field lines are as old as electromagnetic theory itself. Practically every physics student learns about field lines as a way to imagine and visualize...

Science made tremendous progress in the last three centuries. We understand the world better and more precisely than we have ever understood it, and the...

In physics, nearly every fundamental theory is based on a single underlying principle. For example, Lagrangian and Hamiltonian mechanics are based on the principle of...

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...

The shortest way to describe the problem of radiation reaction is as follows: if an accelerating charge loses energy by emitting radiation, how does this...

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...

Here is a talk I gave at the graduate colloquium at the math department at the University of Arizona on Wednesday April 18, 2012. Presentation...

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