The course treats the following topics in quantum field theory:-Chiral symmetries and chiral anomalies in QED and QCD-Topological objects in field theory including:*axions*Magnetic monopoles*instantons-Cosmology related topics including:*Baryogenesis and inflation

The course aims to offer a broad perspective on theoretical methods for quantum many-body systems. We will discuss quantum many body methods like large-N theory, dynamical mean field etc and methods for out of equilibrium dissipative and driven quantum systems, alongside applications to specific physical examples in both condensed matter and quantum optics arenas.