Teaching materials
Lecture notes
From undergraduate quantum mechanics, mathematical methods and gravitation to graduate-level early-Universe cosmology.
Quantum Physics II
A one-semester introduction to the abstract formalism of quantum mechanics built around spin-1/2 systems, with applications to composite systems, identical particles, angular momentum and approximation methods.
Complex Variables
A rigorous but accessible introduction to complex analysis, including holomorphic functions, contour integration, Cauchy’s theorem, Taylor and Laurent series, singularities and the residue theorem, with emphasis on applications in physics.
General Relativity
A pedagogical introduction to General Relativity that develops tensor methods from familiar settings in mechanics and electromagnetism before moving to curved spacetime, the equivalence principle and the geometric description of gravity.
Inflationary Cosmology
Graduate-level notes on the inflationary Universe, the quantum origin of primordial perturbations and the transition to the hot Big Bang through reheating, particle production, turbulence and thermalization.