Over the last decade new experimental tools and theoretical concepts are providing new insights into collective nonequilibrium behavior of quantum systems. The exquisite control provided by laser trapping and cooling techniques allows us to observe the behavior of condensed bose and degenerate Fermi gases under nonequilibrium drive or after `quenches' in which a Hamiltonian parameter is suddenly or slowly changed. On the solid state front, high intensity short-time pulses and fast (femtosecond) probes allow solids to be put into highly excited states and probed before relaxation and dissipation occur. Experimental developments are matched by progress in theoretical techniques ranging from exact solutions of strongly interacting nonequilibrium models to new approaches to nonequilibrium numerics. The summer school `Strongly interacting quantum systems out of equilibrium' held at the Les Houches School of Physics as its XCIX session was designed to summarize this progress, lay out the open questions and define directions for future work. This books collects the lecture notes of the main courses given in this summer school.

Thierry Giamarchi was a student at Ecole Normale Superieure. He undertook thesis under the advise of Heinz Schultz. He was a researcher at CNRS working at Universite Paris-Sud, next professor at the University of Geneva, Switzerland, and has been member of the French Academy of Sciences since 2013. He is head of the condensed matter division at University of Geneva.
Andrew J. Millis studied at Harvard University, USA, and received his PhD from MIT, USA (1986). He is Professor of Physics at Columbia University, USA. He has previously held positions as Professor of Physics, Rutgers University, USA (1999-2001); and Professor of Physics, The John Hopkins University, USA (1996-1997).
Olivier Parcollet was a student at Ecole Normale Superieure (ENS), PhD at ENS under the advise of Antoine Georges, post-doc at Rutgers in the group of Gabriel Kotliar, and curerntly has a research position at CEA Saclay.
Hubert Saleur was a student at Ecole Normale Superiere de Paris (1981-1985). He previously held a CNRS research position at SPhT Saclay (1986-1990), and after that was a professor at Yale University, USA (1991-1992), and a professor at the University of South California, USA (1993-2004). He currently holds a CEA position at IPhT Saclay (2004-present).
Leticia F. Cugliandolo received her Masters and PhD from the National University of Mar del Plata, Argentina. She has a post-doc degree from Univ. di Roma I, Saclay and ENS Paris. She was an associate professor at ENS from 1997 to 2003 and has been a full professor at Univ. Pierre et Marie Curie, Paris since 2003.