Notes on Numerical Relativity (Draft) Abstract The following notes are an idiosyncratic sampling from the literature of numerical relativity. Focus is given to foundational materials in numerical...

Notes on Rotating Lorentzian Worm holes (Draft) Abstract Notes are provided concerning rotating wormholes in General Relativity. Since Teo’s original 1998 article, almost 3 decades of research e...

Notes on History of Quantum Field Theory (Draft) Abstract A technical history of quantum field theory is considered using: 1. Primary sources, 2. Historical pedagogical texts, and 3. Formal histo...

Notes on Quantum Foundations (Draft) Abstract Organized by interpretive tradition, these notes survey the foundations of quantum mechanics through a curated collection of 37 primary and contextual...

Notes on Fractional Calculus (Draft) Abstract Resources concerning alpha-stable Lévy distributions are provided with consideration of associated fractional operators and their calculus. Several d...

Notes on Quantum Computing (Draft) Abstract Personal research notes on quantum computing are provided. Following an overview of the field’s conceptual origins—from Feynman’s 1982 proposal through...

Notes on Quantitative Finance (Draft) Abstract These notes survey the literature of quantitative finance from the perspective of statistical physics, complexity science, and applied mathematics. ...

Notes on Option Trading (Draft) Abstract Research notes on option trading are provided as an annotated guide to the literature. The sources emphasize the financial engineering and computational f...

Notes on Machine Learning (Draft) Abstract These notes provide an annotated guide to the literature on machine learning, organized around the probabilistic view of inference and learning. The tre...

Notes on Stochastic Quantization (Draft) Abstract These notes collect several essential ideas behind stochastic quantization approached from a numerical perspective. The intention is to serve as ...