Useful programs for orbital mechanics

Mathematical Physics Course

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)

Mathematica package for calculating polynomial integrals over the unitary group

📖 Theory and Models in Optimization (e.g., finding the minimum of a function, finding roots, global and local minimum)

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

A web-based game to illustrate the faithfulness problem for the Burau representation of the four strand braid group

R scripts to produce visual representations of the complex Lamé spectrum

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

This repository contains some Mathematica notebooks for the calculation of the resurgent transeries of the quantum mechanical quartic double-well potential.

Work of Fourier

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

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

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

Курсовая работа по ЧММФ (Численные Методы Математической Физики)

This repository is reserved for the typed notes for PHYS3031 Mathematical Methods in Physics II

Scientific documents prepared using LaTeX

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

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