This lecture series by C. P. Herzog explores the application of holography and the AdS/CFT correspondence to condensed matter systems, focusing on quantum phase transitions and their implications for superconductivity and superfluidity. The first lecture introduces the concept of quantum phase transitions, highlighting their importance in understanding critical phenomena in condensed matter. The second lecture discusses linear response theory and Ward identities, which are crucial for relating microscopic properties to macroscopic observables. The third lecture presents transport coefficients derived from AdS/CFT that are relevant in the quantum critical region associated with quantum phase transitions. The fourth lecture builds on these concepts by incorporating the physics of superconducting or superfluid phase transitions into a simple holographic model. The lectures emphasize the potential of holographic techniques to provide insights into strongly interacting field theories and the behavior of materials at quantum critical points, particularly in the context of high-temperature superconductors.This lecture series by C. P. Herzog explores the application of holography and the AdS/CFT correspondence to condensed matter systems, focusing on quantum phase transitions and their implications for superconductivity and superfluidity. The first lecture introduces the concept of quantum phase transitions, highlighting their importance in understanding critical phenomena in condensed matter. The second lecture discusses linear response theory and Ward identities, which are crucial for relating microscopic properties to macroscopic observables. The third lecture presents transport coefficients derived from AdS/CFT that are relevant in the quantum critical region associated with quantum phase transitions. The fourth lecture builds on these concepts by incorporating the physics of superconducting or superfluid phase transitions into a simple holographic model. The lectures emphasize the potential of holographic techniques to provide insights into strongly interacting field theories and the behavior of materials at quantum critical points, particularly in the context of high-temperature superconductors.