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...
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...
This is a term paper I wrote for the course 'quantum mechanics for mathematicians' (Fall 2010), taught by Professor Jan Wehr. The paper is an introduction to...
This is a term paper I wrote for a course in General Relativity (Fall 2008), taught by Prof. Dimitrios Psaltis. The main goal of this...
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,...
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