Welcome to my blog! Here, I will post proofs, calculations, and tangents related to my research, coursework, or any other subfields of physics and mathematics that pique my interest. Feel free to reach out to me with any questions or if you notice any errors.

An Exploration of PINNs

This post will outline my self-study of physics-informed neural networks (PINNs), a developing technique at the intersection of physics and statistics that has proven to be very useful in the analysis of partial differential equations.

An Analytic Side Tangent

In this short post, I outline the proof for the strictly increasing behavior of a fundamental sequence in undergraduate analysis.