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This course is an introduction to geometrical critical phenomena and their description by means of algebraic, probabilistic and quantum field theoretical techniques. 

This is the follow-up couse to the quantum field theory class of the first semester. Topics we will cover include non-abelian gauge symmetry, spontaneous symmetry breaking, and the Higgs mechanism, all needed to understand the inner workings of the Standard Model, which we shall discuss in some detail.

The aim of this course is to introduce the most important topics needed to understand how we can test the Standard Model, then why and how we must go beyond it. It is aimed not just at future practitioners, but at anyone wanting to study High Energy Physics. 

A Dark Matter Journey from Particle Physics to Modern Cosmology.

The purpose of these lectures is to provide the basis on modern theoretical cosmology. 

The theory of groups and their representations is a central topic which studies symmetries in various contexts occurring in pure or applied mathematics as well as in other sciences, most notably in physics.