## Graduate Courses

**CHM 510**

**/PHY 544**

**Topics in Physical Chemistry: Fundamental Problems in Materials Physics**Structure and properties of liquids, glasses, quasicrystals, crystals, colloids and polymers. Interacting many-body systems; sphere packings; density fluctuations and classification of crystals, quasicrystals and hyperuniform systems; covering and quantizer problems as ground-state problems; inverse statistical mechanical problems and unusual ground states; topology optimization; linear response theory for classical and quantum systems; fluctuation dissipation theorem; transport and kinetic coefficients in fluids, electronic transport and spectroscopy; systems coupled to a heat bath; projection techniques.Salvatore TorquatoRoberto Car

**ELE 560**

**/PHY 565**

**/MSE 556**

**Fundamentals of Nanophotonics**Introduction to theoretical techniques for understanding and modeling nanophotonic systems, emphasizing important algebraic properties of Maxwell's equations. Topics covered include Hermitian eigensystems, photonic crystals, Bloch's theorem, symmetry, band gaps, omnidirectional reflection, localization and mode confinement of guided and leaky modes. Techniques covered include Green's functions, density of states, numerical eigensolvers, finite-difference and boundary-element methods, coupled-mode theory, scattering formalism, and perturbation theory. The course explores application of these techniques to current research problems.Alejandro W. Rodriguez

**ELE 567**

**/PHY 567**

**Advanced Solid-State Electron Physics**This course deals with different aspects of electronic systems with disorder and/or strong electron-electron interactions (see Course Catalog for range of topics). In Fall 2016, the course covers Introduction to Anderson and Mott Transitions, Scaling Theory of Localization, Weak Localization, Interaction Effects in the Metallic Phase, Metal-Insulator Transition, Electronic Properties of Disorder Insulators, and Localization in the Quantum Hall Regime. Reading material consists mostly of research papers from journals.Ravindra N. Bhatt

**MAT 595**

**/PHY 508**

**Topics in Mathematical Physics: Quantum Statistical Mechanics: Concepts and basic results**This course provides an introduction to mathematically rigorous methods in quantum statistical physics. After a brief introduction to the basic mathematical framework of quantum statistical mechanics (i.e. notion of states, Hilbert space techniques based on GNS representations, thermo-dynamic limit), the topics covered include phase transitions in quantum spin systems, matrix product states, properties of ground states, topological order.Simone Warzel

**PHY 503**

**Classical Mechanics: Principles and Problem Solving (Half-Term)**A graduate-level review of classical mechanics emphasizing problem solving.Steven S. Gubser

**PHY 504**

**Electromagnetism: Principles and Problem Solving (Half Term)**A graduate-level review of electromagnetism emphasizing problem-solving.Frederick D. Haldane

**PHY 509**

**Quantum Field Theory**Canonical and path integral quantization of quantum fields, Feynman diagrams, gauge symmetry, elementary processes in quantum electro dynamics, applications to condensed matter theoryHerman L. Verlinde

**PHY 513**

**Quantum Mechanics: Principles and Problem Solving (Half Term)**A graduate-level review of quantum mechanics emphasizing problem-solving.Steven S. Gubser

**PHY 514**

**Statistical Physics: Principles and Problem Solving (Half-Term)**A graduate-level review of statistical physics emphasizing problem-solving.Frederick D. Haldane

**PHY 523**

**Introduction to Relativity**This course gives an introduction to Einstein's theory of general relativity. No prior knowledge of general relativity will be assumed, and an overview of the differential geometry needed to understand the field equations and spacetime geometries will be given. Beyond this, topics covered will include black holes, gravitational waves, and cosmological spacetimes.Frans Pretorius

**PHY 525**

**Introduction to Condensed Matter Physics**Electronic structure of crystals, phonons, transport and magnetic properties, screening in metals, and superconductivity.David A. Huse

**PHY 540**

**Selected Topics in Theoretical High-Energy Physics: Strings, Black Holes and Gauge Theories**Discussion of modern tools of Quantum Field Theory and their applications, ranging from polymers to black holes.Alexander M. Polyakov

**PHY 557**

**Electronic Methods in Experimental Physics**This course is targeted for graduate students from all departments and undergraduate physics majors. The seminar introduces students to the basic techniques of electronics and instrumentation used to conduct experiments in the physical sciences. The course begins by teaching a foundation in analog and digital circuits including programmable digital logic devices using an iPad interface for data acquisition. Students develop measurement techniques in a wide range of experimental areas.Norman C. Jarosik

**QCB 505**

**/PHY 555**

**Topics in Biophysics and Quantitative Biology: Statistical Mechanics for Real Biological Networks**Analysis of recent work on quantitative, theoretically grounded approaches to the phenomena of life. Topics rotate from year to year, spanning all levels of biological organization, including (as examples) initial events in photosynthesis, early embryonic development, evolution of protein families, coding and computation in the brain, collective behavior in animal groups. Assumes knowledge of relevant physics and applicable mathematics at advanced undergraduate level, with tutorials on more advanced topics. Combination of lectures with student discussion of recent and classic papers.William Bialek

**QCB 515**

**/PHY 570**

**/EEB 517**

**/CHM 517**

**/MOL 515**

**Method and Logic in Quantitative Biology**Close reading of published papers illustrating the principles, achievements, and difficulties that lie at the interface of theory and experiment in biology. Two important papers, read in advance by all students, will be considered each week; the emphasis will be on discussion with students as opposed to formal lectures. Topics include: cooperativity, robust adaptation, kinetic proofreading, sequence analysis, clustering, phylogenetics, analysis of fluctuations, and maximum likelihood methods. A general tutorial on Matlab and specific tutorials for the four homework assignments will be available.Ned S. Wingreen