Sarnak, Peter
Overview
Works:  69 works in 194 publications in 2 languages and 4,145 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Other 
Classifications:  QA9.2, 511.3 
Publication Timeline
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Most widely held works by
Peter Sarnak
Elementary number theory, group theory, and Ramanujan graphs
by
Giuliana P Davidoff(
)
16 editions published in 2003 in English and German and held by 1,405 WorldCat member libraries worldwide
This text is a self contained treatment of expander graphs and in particular their explicit construction. Expander graphs are both highly connected but sparse, and besides their interest within combinatorics and graph theory, they also find various applications in computer science and engineering
16 editions published in 2003 in English and German and held by 1,405 WorldCat member libraries worldwide
This text is a self contained treatment of expander graphs and in particular their explicit construction. Expander graphs are both highly connected but sparse, and besides their interest within combinatorics and graph theory, they also find various applications in computer science and engineering
Selected papers
by
Peter D Lax(
)
28 editions published between 2004 and 2013 in English and Undetermined and held by 780 WorldCat member libraries worldwide
A renowned mathematician who considers himself both applied and theoretical in his approach, Peter Lax has spent most of his professional career at NYU, making significant contributions to both mathematics and computing. He has written several important published works and has received numerous honours including the National Medal of Science, the Lester R. Ford Award, the Chauvenet Prize, the Semmelweis Medal, the Wiener Prize, and the Wolf Prize. Several students he has mentored have become leaders in their fields. These two volumes span the years from 1952 up until 1999, and cover many varying topics, from functional analysis, partial differential equations, and numerical methods to conservation laws, integrable systems and scattering theory. After each paper, or collection of papers, is a commentary placing the paper in context and where relevant discussing more recent developments. Many of the papers in these volumes have become classics and should be read by any serious student of these topics. In terms of insight, depth, and breadth, Lax has few equals. The reader of this selection will quickly appreciate his brilliance as well as his masterful touch. Having this collection of papers in one place allows one to follow the evolution of his ideas and mathematical interests and to appreciate how many of these papers initiated topics that developed lives of their own
28 editions published between 2004 and 2013 in English and Undetermined and held by 780 WorldCat member libraries worldwide
A renowned mathematician who considers himself both applied and theoretical in his approach, Peter Lax has spent most of his professional career at NYU, making significant contributions to both mathematics and computing. He has written several important published works and has received numerous honours including the National Medal of Science, the Lester R. Ford Award, the Chauvenet Prize, the Semmelweis Medal, the Wiener Prize, and the Wolf Prize. Several students he has mentored have become leaders in their fields. These two volumes span the years from 1952 up until 1999, and cover many varying topics, from functional analysis, partial differential equations, and numerical methods to conservation laws, integrable systems and scattering theory. After each paper, or collection of papers, is a commentary placing the paper in context and where relevant discussing more recent developments. Many of the papers in these volumes have become classics and should be read by any serious student of these topics. In terms of insight, depth, and breadth, Lax has few equals. The reader of this selection will quickly appreciate his brilliance as well as his masterful touch. Having this collection of papers in one place allows one to follow the evolution of his ideas and mathematical interests and to appreciate how many of these papers initiated topics that developed lives of their own
Some applications of modular forms
by
Peter Sarnak(
Book
)
18 editions published between 1989 and 2010 in English and held by 406 WorldCat member libraries worldwide
The theory of modular forms and especially the socalled 'Ramanujan conjectures' have been applied to resolve problems in combinatorics, computer science, analysis and number theory. This tract, based on the Wittemore Lectures given at Yale University, is concerned with describing some of these applications
18 editions published between 1989 and 2010 in English and held by 406 WorldCat member libraries worldwide
The theory of modular forms and especially the socalled 'Ramanujan conjectures' have been applied to resolve problems in combinatorics, computer science, analysis and number theory. This tract, based on the Wittemore Lectures given at Yale University, is concerned with describing some of these applications
Random matrices, Frobenius eigenvalues, and monodromy
by
Nicholas M Katz(
Book
)
13 editions published between 1998 and 1999 in English and held by 376 WorldCat member libraries worldwide
13 editions published between 1998 and 1999 in English and held by 376 WorldCat member libraries worldwide
The Selberg trace formula and related topics : proceedings of the AMSIMSSIAM Joint Summer Research Conference held July 2228, 1984 with support from the National Science Foundation
by AMSIMSSIAM Joint Summer Research Conference in the Mathematical Sciences on the Selberg Trace Formula and Related Topics(
Book
)
8 editions published in 1986 in English and held by 255 WorldCat member libraries worldwide
8 editions published in 1986 in English and held by 255 WorldCat member libraries worldwide
Extremal Riemann surfaces
by AMS Special session on extremal Riemann surfaces(
Book
)
10 editions published between 1996 and 1997 in English and held by 234 WorldCat member libraries worldwide
There are discussions of Hurwitz surfaces and surfaces with large cyclic groups of automorphisms. Also discussed are surfaces which are natural candidates for solving extremal problems such as triangular, modular, and arithmetic surfaces, and curves in various group theoretically defined curve families. Other allied topics are theta identities, quadratic periods of Abelian differentials, Teichmuller disks, binary quadratic forms, and spectral asymptotics of degenerating hyperbolic three manifolds
10 editions published between 1996 and 1997 in English and held by 234 WorldCat member libraries worldwide
There are discussions of Hurwitz surfaces and surfaces with large cyclic groups of automorphisms. Also discussed are surfaces which are natural candidates for solving extremal problems such as triangular, modular, and arithmetic surfaces, and curves in various group theoretically defined curve families. Other allied topics are theta identities, quadratic periods of Abelian differentials, Teichmuller disks, binary quadratic forms, and spectral asymptotics of degenerating hyperbolic three manifolds
Automorphic forms and applications
(
Book
)
5 editions published in 2007 in English and held by 166 WorldCat member libraries worldwide
"The theory of automorphic forms has seen dramatic developments in recent years. In particular, important instances of Langlands functoriality have been established. This volume presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on automorphic forms and their applications. It addresses some of the general aspects of automorphic forms, as well as certain recent advances in the field." "This volume is recommended for independent study or an advanced topics course. It is suitable for graduate students and researchers interested in automorphic forms and number theory."BOOK JACKET
5 editions published in 2007 in English and held by 166 WorldCat member libraries worldwide
"The theory of automorphic forms has seen dramatic developments in recent years. In particular, important instances of Langlands functoriality have been established. This volume presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on automorphic forms and their applications. It addresses some of the general aspects of automorphic forms, as well as certain recent advances in the field." "This volume is recommended for independent study or an advanced topics course. It is suitable for graduate students and researchers interested in automorphic forms and number theory."BOOK JACKET
Selected works of Ilya PiatetskiShapiro
by
I. I Pi︠a︡tet︠s︡kiĭShapiro(
Book
)
4 editions published between 2000 and 2001 in English and held by 131 WorldCat member libraries worldwide
4 editions published between 2000 and 2001 in English and held by 131 WorldCat member libraries worldwide
Selected Papers Volume II
by
Peter D Lax(
)
13 editions published in 2005 in English and held by 92 WorldCat member libraries worldwide
A renowned mathematician who considers himself both applied and theoretical in his approach, the author has spent most of his professional career at NYU, making significant contributions to both mathematics and computing. He has written several published works and has received numerous honors
13 editions published in 2005 in English and held by 92 WorldCat member libraries worldwide
A renowned mathematician who considers himself both applied and theoretical in his approach, the author has spent most of his professional career at NYU, making significant contributions to both mathematics and computing. He has written several published works and has received numerous honors
Festschrift in honor of I.I. PiatetskiShapiro on the occasion of his sixtieth birthday
(
Book
)
6 editions published in 1990 in English and held by 80 WorldCat member libraries worldwide
6 editions published in 1990 in English and held by 80 WorldCat member libraries worldwide
Typical dynamics of volume preserving homeomorphisms
by
Steve Alpern(
)
3 editions published in 2001 in English and held by 27 WorldCat member libraries worldwide
This book provides a selfcontained introduction to typical properties of volume preserving homeomorphisms. Stress is given to the interrelation between typical properties of volume preserving homeomorphisms and typical properties of volume preserving bijections of the underlying measure space. An excellent introduction for newcomers, and an indispensable resource for experts
3 editions published in 2001 in English and held by 27 WorldCat member libraries worldwide
This book provides a selfcontained introduction to typical properties of volume preserving homeomorphisms. Stress is given to the interrelation between typical properties of volume preserving homeomorphisms and typical properties of volume preserving bijections of the underlying measure space. An excellent introduction for newcomers, and an indispensable resource for experts
Floer homology groups in YangMills theory
by
S. K Donaldson(
)
2 editions published in 2002 in English and held by 20 WorldCat member libraries worldwide
Annotation This monograph gives a thorough exposition of Floer's seminal work during the 1980s from a contemporary viewpoint. The material contained here was developed with specific applications in mind. However, it has now become clear that the techniques used are important for many current areas of research. An important example would be symplectic theory and gluing problems for selfdual metrics and other metrics with special holonomy. The author writes with the big picture constantly in mind. As well as a review of the current state of knowledge, there are sections on the likely direction of future research. Included in this are connections between Floer groups and the celebrated SeibergWitten invariants. The results described in this volume form part of the area known as Donaldson theory. The significance of this work is such that the author was awarded the prestigious Fields Medal for his contribution
2 editions published in 2002 in English and held by 20 WorldCat member libraries worldwide
Annotation This monograph gives a thorough exposition of Floer's seminal work during the 1980s from a contemporary viewpoint. The material contained here was developed with specific applications in mind. However, it has now become clear that the techniques used are important for many current areas of research. An important example would be symplectic theory and gluing problems for selfdual metrics and other metrics with special holonomy. The author writes with the big picture constantly in mind. As well as a review of the current state of knowledge, there are sections on the likely direction of future research. Included in this are connections between Floer groups and the celebrated SeibergWitten invariants. The results described in this volume form part of the area known as Donaldson theory. The significance of this work is such that the author was awarded the prestigious Fields Medal for his contribution
Harmonic Maps, Conservation Laws and Moving Frames
by Frdric Hlein(
)
1 edition published in 2002 in English and held by 12 WorldCat member libraries worldwide
An accessible and selfcontained introduction to harmonic map theory and its analytical aspects, covering recent developments in the regularity theory of weakly harmonic maps. The book will be of particular interest to graduate students and researchers in geometry, analysis of partial differential equations and mathematical physics
1 edition published in 2002 in English and held by 12 WorldCat member libraries worldwide
An accessible and selfcontained introduction to harmonic map theory and its analytical aspects, covering recent developments in the regularity theory of weakly harmonic maps. The book will be of particular interest to graduate students and researchers in geometry, analysis of partial differential equations and mathematical physics
The word and riemannian metrics on lattices of semisimple groups
by
Alexander Lubotzky(
Book
)
3 editions published between 2000 and 2001 in English and held by 12 WorldCat member libraries worldwide
3 editions published between 2000 and 2001 in English and held by 12 WorldCat member libraries worldwide
Festschrift in honor of I.I. PiatetskiShapiro on the occasion of his sixtieth birthday
(
Book
)
2 editions published in 1990 in English and held by 11 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 11 WorldCat member libraries worldwide
Festschrift in honor of I.I. PiatetskiShapiro on the occasion of his sixtieth birthday
(
Book
)
2 editions published in 1990 in English and held by 10 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 10 WorldCat member libraries worldwide
Completely bounded maps and operator algebras
by
Vern I Paulsen(
)
1 edition published in 2003 in English and held by 9 WorldCat member libraries worldwide
This is a selfcontained introduction to the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, plus some of their main applications. An indispensable introduction to the theory of operator spaces for graduate students and experts alike
1 edition published in 2003 in English and held by 9 WorldCat member libraries worldwide
This is a selfcontained introduction to the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, plus some of their main applications. An indispensable introduction to the theory of operator spaces for graduate students and experts alike
Arithmetic quantum chaos
by
Peter Sarnak(
Book
)
3 editions published in 1993 in English and held by 9 WorldCat member libraries worldwide
3 editions published in 1993 in English and held by 9 WorldCat member libraries worldwide
The Schur lectures (1992) : Roger Howe, Perspectives on invariant theory : Peter Sarnak, Arithmetic quantum chaos
by
Roger Howe(
Book
)
2 editions published in 1995 in English and held by 8 WorldCat member libraries worldwide
2 editions published in 1995 in English and held by 8 WorldCat member libraries worldwide
Lectures in logic and set theory
by
George J Tourlakis(
)
1 edition published in 2003 in English and held by 8 WorldCat member libraries worldwide
Provides the reader with a solid foundation in set theory, while the inclusion of topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing, will usher the advanced reader to the doorstep of the research literature
1 edition published in 2003 in English and held by 8 WorldCat member libraries worldwide
Provides the reader with a solid foundation in set theory, while the inclusion of topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing, will usher the advanced reader to the doorstep of the research literature
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Related Identities
 Valette, Alain
 Davidoff, Giuliana P. Author
 Majda, Andrew 1949 Author Editor
 Lax, Peter D. Author
 Katz, Nicholas M. 1943 Author
 Hejhal, Dennis A. Editor
 Terras, Audrey Editor
 Quine, J. R. (John R.) 1943 Editor
 Pi︠a︡tet︠s︡kiĭShapiro, I. I. (Ilʹi︠a︡ Iosifovich) 19292009 Author
 Shahidi, Freydoon Editor
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Associated Subjects
Algebraic topology Arithmetical algebraic geometry Automorphic forms Automorphic functions Complex manifolds Differentiable dynamical systems Differential equations Differential equations, Partial Dilation theory (Operator theory) Eigenvalues Extremal problems (Mathematics) Floer homology Fluid mechanics Forms, Modular Forms (Mathematics) Functional equations Functions, Zeta Functions of several complex variables Geometry, Differential Global analysis (Mathematics) Graph theory Group actions (Mathematics) Group theory Hamiltonian systems Harmonic analysis Harmonic maps Homeomorphisms Hyperbolic spaces Invariants Lfunctions Limit theorems (Probability theory) Logic, Symbolic and mathematical Mappings (Mathematics) Mathematicians Mathematics MathematicsStudy and teaching Matrices Measurepreserving transformations Monodromy groups Number theory Operator algebras Quantum chaos Random matrices Representations of groups Riemannian manifolds Riemann surfaces Selberg trace formula Set theory United States YangMills theory