Selected lab reports, technical notes, and independent studies across physics, optics, mathematics, statistics, and biology.
Compiled lecture notes covering time series decomposition, stationarity, the ACF/PACF, AR/MA/ARMA/ARIMA/SARIMA models, Best Linear Predictor forecasting, and spectral density estimation. Typeset in LaTeX with full derivations and worked examples.
Read the PDF →A NumPy implementation of the random-Pauli classical-shadows protocol (Huang–Kueng–Preskill, 2020) on a from-scratch statevector simulator. Estimates energies, observables, and state fidelity from few measurements — with median-of-means estimators, a test suite, and sample-complexity scaling experiments.
View on GitHub →A point reactor kinetics solver coupling validated delayed-neutron data from PyRK with a stiff SciPy integrator, temperature feedback, and closed-form physics checks. Reproduces delayed-critical periods, prompt excursions, control-rod scram, and a self-limiting reactivity accident — validated against the inhour equation to 1e−4.
View on GitHub →A comprehensive technical monograph on coupled neutronic–thermal reactor dynamics, stability theory, and the historical lessons of the Chernobyl accident. Covers point kinetics, the inhour equation, reactivity feedback (Doppler/void), the Nordheim–Fuchs excursion, xenon dynamics, and a full Chernobyl case study. Typeset in LaTeX with figures, worked examples, and exercises.
Read the PDF →STA302 final research project. Multiple linear regression on cuprate-based superconductors (UC Irvine ML Repository) to identify electronic and entropic properties correlated with high critical temperatures.
Open PDF →Personal lecture notes for the second half of PHY294 (Prof. R. J. Dwayne Miller), structured to flow into further independent study on Bose/Fermi statistics, ensembles, and applications to condensed matter and biophysics.
Open PDF →PHY294 lab report. Measured e/m by observing circular electron-beam trajectories in Helmholtz-coil magnetic fields. Linearized fits at constant voltage and constant current yielded e/m = (1.7 ± 0.2)×10¹¹ C/kg, consistent with the accepted value.
Open PDF →PHY294 lab report. Produced a reflection hologram using a 5 mW He–Ne laser, recording interference between incident and object-reflected light on a photographic plate. Measured a spatial-filter transmission efficiency of ~70.9% and reconstructed a 3D image under white-light illumination.
Open PDF →PHY294 lab report. Used a Michelson interferometer to measure the wavelength of a green laser, the refractive index of a plastic sample, and the linear thermal-expansion coefficient of an aluminum rod — all via fringe-counting and linear least-squares analysis.
Open PDF →A full solutions manual for OpenStax Calculus Vol. 1, typeset in LaTeX. Clear, logically structured solutions designed as a student learning aid to complement the official textbook.
Open PDF →Investigating surface-engineering strategies to improve PGPR survival using polydopamine coatings with calcium-ion optimization for sustainable-agriculture applications.
Open PDF →Atomic emission spectra analysis connecting experimental spectroscopy with Bohr-model predictions and the Rydberg equation using prism-spectrometer calibration.
Open PDF →Single-slit diffraction and double-slit interference analysis, extracting slit parameters and connecting to the Heisenberg uncertainty principle.
Open PDF →// This page is not updated continuously. Content is typically revised and expanded in periodic, large updates.