If you want to watch the recorded courses, please click on the course name and then on the lecture number.
Linear Algebra - Anna Kostouki
Differential Equations - Sarah Croke
Evaluation of Integrals and Calculous of Variations - Denis Dalidovich
Special Functions and Distributions - Dan Wohns
Integral Transforms and Green's Functions - David Kubiznak
Lie Groups and Lie Algebra's - Freddy Cachazo
Presentation 2 - Joseph Minahan
Presentation 3 - Matthias Staudacher
Presentation 4 - Yakir Aharonov
Presentation 5 - Vladimir Kazakov
Presentation 9 - Laurent Freidel
Presentation 10 - Robert Spekkens
Presentation 12 - Cliff Burgess
Presentation 13 - Avery Broderick
Presentation 14 - Pavel Kovtun
Presentation 15 - Subir Sachdev
Introduction to path integrals and interferometry.
Relationship of quantum theory to special relativity. The no-signalling principle.
Mixed states, entanglement, Bell's theorem and Bell experiments. Introduction to quantum
information and some applications.
Special relativity, foundations of general relativity, Riemannian geometry, Einstein's equations, FRW and Schwarzschild geometries and their properties.
Quantum Field Theory I - 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 II - François David
Feynman Path Integral, abelian and nonabelian gauge theories and their quantization, spontaneous symmetry breaking, nonperturbative techniques: lattice field theory, Wilsonian renormalization.
Condensed Matter - Nandini Trivedi
The general principles guiding the course will be broken symmetries, phases and emergent collective modes.
Part 1 - crystals: broken translational symmetry and phonons
Part 2 - magnets: broken spin rotational symmetry and magnons
Part 3 - normal metals, electronic properties
Part 4- superconductors: broken U(1) gauge symmetry, gaps and collective
modes
Mathematical Physics - Carl Bender
This course will include the study of Perturbation Theory (Regular and Singular) Speeding Up Convergence and the Gibbs Phenomenon.
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.
Standard Model (Review) - Philip Schuster, Natalia Toro
Building on QFT 1 and 2, this course introduces nature's fundamental interactions and constituents as we understand them today. We will study effective field theory, the Lagrangian of the Standard Model, the symmetry patterns in mesons and baryons, spontaneous symmetry breaking, the Higgs mechanism (including recent LHC results), flavour physics, and open questions.
Condensed Matter (Review) - Alioscia Hamma
This class will cover the following topics: Phase Transitions, Order Parameters, Kosterlitz and Thouless phase transitions, Quantum Phase Transitions, Quantum XY model, Entanglement, Fidelity and Berry Phases in QPTs, Lattice Gauge Theories, Confinement-Deconfinement Transitions, Quantum and Topological Order, Toric Code and Topological Entropy.
Foundations of Quantum Mechanics (Review) - Rob Spekkens
Operational and realistic approaches to the interpretation of quantum mechanics. Local realism and the EDR 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. Perturbative Lorentzian quantum gravity (QG) and the need for non-perturbative QG. Constrained Hamiltonian systems. Canonical formulation of GR. Non-perturbative 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 thoery (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, quantim gates, quantim 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
Beyond the Standard Model (Review) - Veronica Sanz
Evidence and rational 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 Cosmology - Matthew Johnson, Louis Leblond
Explorations in String Theory - Pedro Vieira
Explorations in Quantum Gravity - Carlo Rovelli
Explorations in Particle Theory - David Morrissey
Explorations in Numerical Relativity - Luis Lehner, Frans Pretorius
Explorations in Condensed Matter - Dimitry Abanin, Vlad Manucharyan