My research interests have to do with non-linear analysis and computer assisted proof. For instance, I am interested in invariant manifolds of dynamical systems. My dissertation dealt with invariant manifolds of the area-preserving Henon map and the Standard map. As well as a computation scheme to compute Siegel Disks in simple quadratic maps.
For now, I will start to add some math notes on more elementary stuff. In the works right now:
Test out MathJax using inline mode using our favorite Diophantine number: \(\varphi = \frac{1+\sqrt{5}}{2}\).
\(H(f) = \int_{\mathbb{R}} h(t)e^{2\pi i f t}\,dt \)