- In 2017, I completed a summer research project in which I looked at a derivation of the Wallis Formula for $\pi$ that was rooted in quantum mechanics. In this report I look at the special case that the authors chose as the basis of their derivation and show that this really is just a special case.
- For my final semester, I attended a reading group that met weekly and studied the textbook Geometry of Surfaces by John Stilwell. In this short report, we extend he’s work to n-dimensional manifolds and introduce many different concepts and tools used in geometric analysis.
- In my final physics project, I learn’t about general relativity, and wrote a condensed final report about what I had studied. Although this report covers only a very small section of what I actually learn’t in the semester, it is detailed enough to give an introduction to the theory and the mathematics behind it.
- Here is my Honours thesis, in it I give a brief introduction to Optimal Transport theory and tackle a problem in Stochastic Optimal Control.