If you want to watch the recorded courses, please click on the course name and then on the lecture number.
Research Skills - Kari Dalnoki-Veress
Theoretical Physics - Nima Arkani-Hamed
Maths and Mathematica - Pedro Vieira
Quantum Theory - Ben Schumacher
Schrodinger equation: free particle, harmonic oscillator, simple time dependent problems. Heisenberg picture and connection with classical physics. Entanglement and non-locality. Pure and mixed states, quantum correlators, measurement theory and interpretation.
Special relativity, foundations of general relativity, Riemannian geometry, Einstein's equations, FRW and Schwarzschild geometries and their properties.
Quantum Field Theory 1 - Konstantin Zarembo
Canonical quantization of fields, perturbation theory, derivation of Feynman diagrams, applications in particle and condensed matter theory, renormalization in φ4.
Statistical Mechanics - Leo Kadanoff
A brief review of ensembles and quantum gases, Ising model, Landau theory of phase transitions, order parameters, topology, classical solutions.
Quantum Field Theory 2 - François David
Feynman Path Integral, abelian and nonabelian gauge theories and their quantization, spontaneous symmetry breaking, nonperturbative techniques: lattice field theory, Wilsonian renormalization.
Scientific Computation - Erik Sorensen
Common algorithms for ode and pde solving, with numerical analysis. Common tasks in linear algebra. Focus on how to write good code, test it, and obtain a reliable result. Parallel programming.
Conformal Field Theory - Jaume Gomis
An introduction to the key ideas and techniques of CFT. These theories play a central role in the study of phase transitions in statistical physics and condensed matter systems, as well as in string theory.
Mathematical Physics - Carl Bender
This course will include the study of Perturbation Theory (Regular and Singular) Speeding Up Convergence and the Gibbs Phenomenon.
Standard Model (Review) - Michael Peskin
Application of Yang Mills theory to particle physics, QCD and its tests in the perturbative regime, theory of weak interactions, precision tests of electroweak theory, CKM matrix and flavour physics, open questions.
Condensed Matter (Review) - John Berlinsky
This class will aproach the following topics: Properties of Normal Metals, Non-interacting Electrons, Interactions (Hartree-Fock Approach; Landau Fermi theory), Properties of Low-Temperature Superconductors, Pairing and Bardeen-Cooper-Schrieffer theory, Phenomenological Description of Superconductivity, Properties of High-Temperature Superconductors, Models for Unconventional Superconductivity, Exterded Hubbard Model.
Foundations of Quantum Mechanics (Review) - Rob Spekkens
Operational and realistic approaches to the interpretation of quantm mechanics. Local realism and the EPR argument. Bell's theorem and non-locality. Contextuality and the Kochen-Specker theorem. The deBroglie-Bohm interpretation. The many world interpretation.
Quantum Gravity (Review) - Renate Loll
Linear gravity and gravitons. Gravitational path integral. Pertubative Lorentzian quantum gravity (QG) and the need for non-pertubative QG. Constrained Hamiltonian systems. Canonical formulation of GR. Non-pertubative canonical QG. The Wheeler-De Witt equation. Loop QG. Non-perturbative path-integral for gravity: lattice and discrete methods (Regge calculus) and causal dynamical triangulations (CDT). Surprises in non-perturbative approach.
Gravitational Physics (Review) - Ruth Gregory
Relativist's toolkit: the geometric framework of GR, Cartan formalism, Gauss-Codazzi equations and Kaluza Klein theories. Black Holes: 4D solutions, black hole theorems, Hawking radiation and thermodynamics. Extra dimensions: simple supergravity solutions in string theory (branes), the stability of these objects, then braneworlds and warped extra dimensions.
Cosmology (Review) - Latham Boyle
FRW metric, Hubble expansion, dark energy, dark matter, CMB. Thermodynamic history of the early universe. Growth of perturbations, CDM model of structure formation and comparison to observations, cosmic microwave background anisotropies, inflation and observational tests.
Quantum Information (Review) - Daniel Gottesman
Basic concepts: qubits, quantum gates, quantum circuits, density matrices, quantum operations, entropy, entanglement. Topics in quantum algorithms and complexity: Languages, complexity classes, oracles, RSA, Deutsch-Jozsa algorithm, Shor's algorithm, Grover's algorithm. Information theory and implementations: Overview of implementations, quantum error correction, quantum cryptography, quantum information theory.
String Theory (Review) - Freddy Cachazo
Superstring spectrum in 10d Minkowski, as well as simple toroidal and orbifold compactifications. T-duality, D-branes, tree amplitudes. Construct some simple unified models of particle physics. Motivate the 10- and 11-dimensional supergravities. Simple supergravity solutions and use these to explore some aspects of AdS/CFT duality.
Beyond the Standard Model (Review) - Veronica Sanz
Evidence and rationale for physics beyond the Standard Model: Neutrinos, Baryogenesis, dark matter, scale hierarchies, electro-weak precision experiments; BSM Physics: Supersymmetry (a tale of unification), Technicolor (superconductivity at the LHC), Extra-dimensions (Black holes, holography and strong coupling).
Explorations in Quantum Information - David Cory
Explorations in Condensed Matter - Tamar Pereg Barnea
Explorations in String Theory - Pedro Vieira, John McGreevy
Explorations in Cosmology - Andrew Tolley, Sarah Shandera
Explorations in Particle Theory - Philip Schuster, Natalia Toro
Explorations in Numerical Relativity - Luis Lehner, Scott Noble