A suite of tools for solving Nonlinear Schrodinger equations via higher-order algorithms and Darboux transformations.

a payment application intended for deployment by the united states treasury that replaces banking with accounting

Collaborative, open-source notes on mathematical physics with Obsidian.md

Useful programs for orbital mechanics

A Python package for analyzing the Hofstadter model.

Mathematica package for calculating polynomial integrals over the unitary group

Repository for the article "Group Theory in Physics - An Introduction with Mathematica", EPJ Special Topics (2024)

EpiSimulator: A Data-Driven Stochastic Hybrid Model for COVID-19 in Italy.

Hamiltonian Gauge Gravity Surveyor (HiGGS). Tools for Hamiltonian constraint, canonical and Dirac-Bergmann analysis of gravity theories with spacetime curvature and torsion.

A set of autonomous Mathematica programs which explore the chaos in Gauss-Bonnet black holes, Reissner-Nordstrom black holes, Schwarzschild black holes, Born-Infeld black holes and hyper scale violating manifolds in Anti de-Sitter space.

Auxiliary platform of the course `Methods of Mathematical Physics' (数学物理方法教学辅助平台)

Mathematical Physics Science: Gyroscopic Alignment Research Lab

Mathematical Physics Course

Dissertation PDF and calculations notebooks on Jupyter and Julia relating the work of my PhD (2016-2020)

マイページ

Hamiltonian Gauge Gravity Surveyor (HiGGS). Tools for Hamiltonian constraint, canonical and Dirac-Bergmann analysis of gravity theories with spacetime curvature and torsion.

Monster Group–Riemann Zeta spectral connection: 28,160 testable Lehmer pair predictions. CC-BY-4.0 data, MIT scripts.

The W(3,3)-E8 Correspondence Theorem: deriving the Standard Model from a single finite geometry with zero free parameters

Drafts of textbooks. One on the math inspired by supersymmetric field theories. One on low dimensional (below 3+1) integrable physics.

Modular Spectrum of Pi: reference implementation of the Stride-6 engine. Unifies Chudnovsky's series with DSP polyphase decomposition in Z/6Z. Validated at 100M digits with 95% parallel efficiency. Features a Shared-Nothing architecture to bypass the memory wall and maximize cache alignment.

Foundational papers for the Symmetrical Convergence (SymC) framework. Establishes χ ≈ 1 as a universal stability boundary governing quantum-classical transitions, parameter emergence, and adaptive system behavior. The theoretical core from which all domain-specific applications derive.

# warp-bubble-parameter-constraints

Search for non-trivial elements of the kernel of the Burau representation of the four-strand braid group.

DIfferential Geometry with Python — see the package at the link below

# warp-bubble-einstein-equations

Geometric Information Field Theory. 33 SM predictions from pure topology. 0.24% mean deviation. Zero free parameters. open source, Lean 4 verified, falsifiable.

Scientific documents prepared using LaTeX

Maxwell's Equations: Variational Formulation for Finite Elements Methods. Give credits if you use anything.

A solution of Navier-Stokes Clay Math Millennium Prize Problem using my theorem that lim (limit) functional can be linearly extended to the entire space of functions, in collaboration with an LLM.

A Zotsite for my Zotero references