Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many or the most important and influential mathematical works of the Twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are again available in paperback. For a complete list of titles, please visit the Princeton University Press website: press.princeton.edu. The most recently published volumes include: A Course on Surgery Theory, Stanley Chang and Shmuel Weinberger, Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations, Jérémie Szeftel and Sergiu Klainerman, The Structure of Groups with a Quasiconvex Hierarchy, Daniel T. Wise, Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom, Vadim Kaloshin and Ke Zhang, Berkeley Lectures on p-adic Geometry, Peter Scholze and Jared Weinstein A Hierarchy of Turing Degrees: A Transfinite Hierarchy of Lowness Notions in the Computably Enumerable Degrees, Unifying Classes, and Natural Definability, Rod Downey and Noam Greenberg What's Next? The Mathematical Legacy of William P. Thurston, edited by Dylan P. Thurston Introductory Lectures on Equivariant Cohomology, Loring W. Tu Eisenstein Cohomology for GLN and the Special Values of Rankin-Selberg L-Functions, Günter Harder and A. Raghuram Arithmetic and Geometry, edited by Gisbert Wüstholz and Clemens Fuchs The Master Equation and the Convergence Problem in Mean Field Games, Pierre Cardaliaguet, François Delarue, Jean-Michel Lasry, and Pierre-Louis Lions The Norm Residue Theorem in Motivic Cohomology, Christian Haesemeyer and Charles A. Weibel Weil's Conjecture for Function Fields: Volume I, Dennis Gaitsgory and Jacob Lurie The Plaid Model, Richard Evan Schwartz The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures, Gui-Qiang G. Chen end Mikhail Feldman Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time, Philip Isett Asymptotic Differential Algebra and Model Theory of Transseries, Matthias Aschenbrenner, Lou van den Dries and Joris van der Hoeven Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra, Isroil A. Ikromov and Detlef Müller The p-adic Simpson Correspondence. Ahmed Abbes, Michel Gros, and Takeshi Tsuji Book jacket.