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This work is a comprehensive treatment of recent developments in the study of elliptic curves and their moduli spaces. The arithmetic study of the mod...Savoir plus
This book aims first to prove the local Langlands conjecture for GLn over a p-adic field and, second, to identify the action of the decomposition grou...Savoir plus
A classic treatment of complex variables from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published...Savoir plus
Kiyosi Itô's greatest contribution to probability theory may be his introduction of stochastic differential equations to explain the Kolmogorov-Feller...Savoir plus
In 1920, Pierre Fatou expressed the conjecture that--except for special cases--all critical points of a rational map of the Riemann sphere tend to per...Savoir plus
Many parallels between complex dynamics and hyperbolic geometry have emerged in the past decade. Building on work of Sullivan and Thurston, this book ...Savoir plus
This book proves an analogue of William Thurston's celebrated hyperbolic Dehn surgery theorem in the context of complex hyperbolic discrete groups, an...Savoir plus
Riemann introduced the concept of a "local system" on P1-{a finite set of points} nearly 140 years ago. His idea was to study n th order linear differ...Savoir plus
New mathematical research in arithmetic dynamics In The Arithmetic of Polynomial Dynamical Pairs , Charles Favre and Thomas Gauthier present new mathe...Savoir plus
A classic treatment of the geometry of orthogonal spaces from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud t...Savoir plus
Solomon Lefschetz's classic lectures on differential equations from the acclaimed Annals of Mathematics Studies series Princeton University Press is p...Savoir plus
A classic treatment of flows on homogeneous spaces from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have...Savoir plus
A general principle, discovered by Robert Langlands and named by him the "functoriality principle," predicts relations between automorphic forms on ar...Savoir plus
The subject matter of this work is an area of Lorentzian geometry which has not been heretofore much investigated: Do there exist Lorentzian manifolds...Savoir plus
Recent developments in diverse areas of mathematics suggest the study of a certain class of extensions of C*-algebras. Here, Ronald Douglas uses metho...Savoir plus
Algebraic K-theory describes a branch of algebra that centers about two functors. K0 and K1, which assign to each associative ring ∧ an abelian group ...Savoir plus
A pioneering new nonlinear approach to a fundamental question in algebraic geometry One of the crowning achievements of nineteenth-century mathematics...Savoir plus
A classic treatment of Fourier transforms from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have publishe...Savoir plus
For hundreds of years, the study of elliptic curves has played a central role in mathematics. The past century in particular has seen huge progress in...Savoir plus
A definitive proof of global nonlinear stability of Minkowski space-time as a solution of the Einstein-Klein-Gordon equations This book provides a def...Savoir plus
This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaple...Savoir plus
This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers tha...Savoir plus
This work offers a contribution in the geometric form of the theory of several complex variables. Since complex Grassmann manifolds serve as classifyi...Savoir plus
In this book the authors give the first necessary and sufficient conditions for the uniform convergence a.s. of random Fourier series on locally compa...Savoir plus