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
Problem formulation and solving, presentation skills and necessary background in computer and mathematics.
Research Skills - Nima Arkani-Hamed
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 - David Tong
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 - Francois 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.
Mathematical Physics - Carl Bender
This course will include the study of Perturbation Theory (Regular and Singular) Speeding Up Convergence and the Gibbs Phenomenon.
Non-Equilibrium Systems - Sid Redner
This course will discuss several paradigmatic examples to illustrate basic phenomenology ant to develop technical skills. These examples include: random walks/diffusion and its application to first-passage processes, irreversible aggregation, irreversible adsorption, kinetic spin systems, simple reactions, and the structure of complex networks.
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.
Cosmology (Review) - Niayesh Afshordi, Hiranya Peiris, Parampreet Singh
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.
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.
Dynamical Systems (Review) - Sue Coppersmith
This course will focus on characterizing and understanding the properties of systems that are far from thermal equilibrium. The topics include: Conceptualization of nonequilibrium versus equilibrium; analysis of dynamical systems; entropy and information theory; Nash equilibria; analysing multiple equilibria.
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.
Condensed Matter (Review) - Xiao-Gang Wen
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, Katrin Becker, Melanie Becker
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.
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.
Explorations in Quantum Information - David Cory
Condensed Matter 2 - John Berlinsky
Explorations in String Theory - Jaume Gomis, Pedro Vieira, David Mateos
Explorations in Cosmology - Andrew Tolley, Sarah Shandera
Explorations in Particle Theory - Ben Allanach
Explorations in Numerical Relativity - Matt Choptuik, Luis Lehner, Frans Pretorius
Quantum Spin Simulations - Anders Sandvik, Erik Sorensen
Explorations in Cosmology 2 - Neil Turok, Parampreet Singh