The Least Action Principle for the Einstein Field Equation
General Relativity
A rigorous derivation of the Einstein field equations using
variational calculus. This project includes detailed proofs
of the Palatini identity, Jacobi’s formula, and careful
treatment of boundary terms.
Visualization of Algebraic Structures
MATLAB
Visualization of finite cyclic groups and their products
using MATLAB. This project explores subgroup structures,
Cayley tables, and geometric patterns arising from group
operations.
Hyperbolic Geometry and Busemann Cocycles
Geometry
A study of hyperbolic geometry on the upper half plane,
including horocycles, Busemann cocycles, and the action of
Fuchsian groups, developed through a supervised reading course.