These notes summarize lectures on holographic methods for condensed matter physics, focusing on how the AdS/CFT correspondence can be used to study strongly coupled systems. The lectures begin by explaining why holographic methods are relevant for condensed matter physics, particularly in understanding quantum critical phenomena. They then discuss the application of AdS/CFT to various systems, including those with scale invariance, finite temperature, and magnetic fields. The discussion progresses from equilibrium to transport and superconductivity, with a focus on how holographic techniques can model these phenomena. The lectures highlight the importance of quantum criticality in condensed matter systems, where scale invariance and the absence of weakly coupled quasiparticles make traditional methods difficult. Examples include the Wilson-Fisher fixed point and spinon-photon systems, which are relevant to understanding nonconventional superconductors. The lectures also explore the connection between holographic methods and real-world systems, such as heavy fermion metals and high-temperature cuprate superconductors, where quantum critical points may play a role in the onset of superconductivity. The AdS/CFT correspondence is used to model these systems by introducing a dual gravitational theory that captures the quantum critical behavior. The lectures discuss the geometries of these dual theories, including the Lifshitz and Schrödinger algebras, which generalize the symmetries of scale-invariant systems. The critical exponent z determines the scaling of energy and space, with z = 1 corresponding to relativistic systems and z > 1 to nonrelativistic ones. The lectures also address the challenges of applying these methods, including the need for careful treatment of the dual spacetime and the interpretation of quantum critical phenomena in terms of gravitational physics. Overall, the lectures emphasize the power of holographic methods in understanding strongly coupled systems in condensed matter physics, particularly in the context of quantum criticality and superconductivity. They provide a foundation for further exploration of these topics and highlight the potential of the AdS/CFT correspondence as a tool for studying complex quantum systems.These notes summarize lectures on holographic methods for condensed matter physics, focusing on how the AdS/CFT correspondence can be used to study strongly coupled systems. The lectures begin by explaining why holographic methods are relevant for condensed matter physics, particularly in understanding quantum critical phenomena. They then discuss the application of AdS/CFT to various systems, including those with scale invariance, finite temperature, and magnetic fields. The discussion progresses from equilibrium to transport and superconductivity, with a focus on how holographic techniques can model these phenomena. The lectures highlight the importance of quantum criticality in condensed matter systems, where scale invariance and the absence of weakly coupled quasiparticles make traditional methods difficult. Examples include the Wilson-Fisher fixed point and spinon-photon systems, which are relevant to understanding nonconventional superconductors. The lectures also explore the connection between holographic methods and real-world systems, such as heavy fermion metals and high-temperature cuprate superconductors, where quantum critical points may play a role in the onset of superconductivity. The AdS/CFT correspondence is used to model these systems by introducing a dual gravitational theory that captures the quantum critical behavior. The lectures discuss the geometries of these dual theories, including the Lifshitz and Schrödinger algebras, which generalize the symmetries of scale-invariant systems. The critical exponent z determines the scaling of energy and space, with z = 1 corresponding to relativistic systems and z > 1 to nonrelativistic ones. The lectures also address the challenges of applying these methods, including the need for careful treatment of the dual spacetime and the interpretation of quantum critical phenomena in terms of gravitational physics. Overall, the lectures emphasize the power of holographic methods in understanding strongly coupled systems in condensed matter physics, particularly in the context of quantum criticality and superconductivity. They provide a foundation for further exploration of these topics and highlight the potential of the AdS/CFT correspondence as a tool for studying complex quantum systems.