i am an aspiring physicist connecting dots between mathematics, machines, and the mind. this blog is a collection of those dots.
tracing the shared formalism between classical random walks and quantum evolution on graphs, revealing how diffusion and interference arise from a common linear backbone. read more →
outlining my self-study of physics-informed neural networks (PINNs), a method at the intersection of physics and machine learning for analyzing partial differential equations. read more →
a proof outlining the strictly increasing behavior of a fundamental sequence encountered in undergraduate real analysis.
read more →