Harris, Joe 1951
Overview
Works:  33 works in 254 publications in 6 languages and 6,169 library holdings 

Genres:  Textbooks 
Roles:  Author, Collector, Editor, Other 
Classifications:  QA564, 516.35 
Publication Timeline
.
Most widely held works by
Joe Harris
Principles of algebraic geometry by
Phillip Griffiths(
Book
)
42 editions published between 1976 and 2014 in English and held by 905 WorldCat member libraries worldwide
A comprehensive, selfcontained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special topics in complex manifolds
42 editions published between 1976 and 2014 in English and held by 905 WorldCat member libraries worldwide
A comprehensive, selfcontained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special topics in complex manifolds
Algebraic geometry : a first course by
Joe Harris(
Book
)
28 editions published between 1992 and 2010 in 3 languages and held by 865 WorldCat member libraries worldwide
This book is intended to introduce students to algebraic geometry; to give them a sense of the basic objects considered, the questions asked about them, and the sort of answers one can expect to obtain. It thus emplasizes the classical roots of the subject. For readers interested in simply seeing what the subject is about, this avoids the more technical details better treated with the most recent methods. For readers interested in pursuing the subject further, this book will provide a basis for understanding the developments of the last half century, which have put the subject on a radically new footing. Based on lectures given at Brown and Harvard Universities, this book retains the informal style of the lectures and stresses examples throughout; the theory is developed as needed. The first part is concerned with introducing basic varieties and constructions; it describes, for example, affine and projective varieties, regular and rational maps, and particular classes of varieties such as determinantal varieties and algebraic groups. The second part discusses attributes of varieties, including dimension, smoothness, tangent spaces and cones, degree, and parameter and moduli spaces
28 editions published between 1992 and 2010 in 3 languages and held by 865 WorldCat member libraries worldwide
This book is intended to introduce students to algebraic geometry; to give them a sense of the basic objects considered, the questions asked about them, and the sort of answers one can expect to obtain. It thus emplasizes the classical roots of the subject. For readers interested in simply seeing what the subject is about, this avoids the more technical details better treated with the most recent methods. For readers interested in pursuing the subject further, this book will provide a basis for understanding the developments of the last half century, which have put the subject on a radically new footing. Based on lectures given at Brown and Harvard Universities, this book retains the informal style of the lectures and stresses examples throughout; the theory is developed as needed. The first part is concerned with introducing basic varieties and constructions; it describes, for example, affine and projective varieties, regular and rational maps, and particular classes of varieties such as determinantal varieties and algebraic groups. The second part discusses attributes of varieties, including dimension, smoothness, tangent spaces and cones, degree, and parameter and moduli spaces
Representation theory : a first course by
William Fulton(
Book
)
40 editions published between 1991 and 2005 in English and Undetermined and held by 769 WorldCat member libraries worldwide
The primary goal of these lectures is to introduce a beginner to the finitedimensional representations of Lie groups and Lie algebras. Intended to serve nonspecialists, the concentration of the text is on examples. The general theory is developed sparingly, and then mainly as useful and unifying language to describe phenomena already encountered in concrete cases. The book begins with a brief tour through representation theory of finite groups, with emphasis determined by what is useful for Lie groups. The focus then turns to Lie groups and Lie algebras and finally to the heart of the course: working out the finite dimensional representations of the classical groups. The goal of the last portion of the book is to make a bridge between the exampleoriented approach of the earlier parts and the general theory.  PUBLISHER DESCRIPTION
40 editions published between 1991 and 2005 in English and Undetermined and held by 769 WorldCat member libraries worldwide
The primary goal of these lectures is to introduce a beginner to the finitedimensional representations of Lie groups and Lie algebras. Intended to serve nonspecialists, the concentration of the text is on examples. The general theory is developed sparingly, and then mainly as useful and unifying language to describe phenomena already encountered in concrete cases. The book begins with a brief tour through representation theory of finite groups, with emphasis determined by what is useful for Lie groups. The focus then turns to Lie groups and Lie algebras and finally to the heart of the course: working out the finite dimensional representations of the classical groups. The goal of the last portion of the book is to make a bridge between the exampleoriented approach of the earlier parts and the general theory.  PUBLISHER DESCRIPTION
The geometry of schemes by
David Eisenbud(
Book
)
27 editions published between 1999 and 2010 in English and Italian and held by 494 WorldCat member libraries worldwide
"This book is intended to bridge the chasm between a first course in classical algebraic geometry and a technical treatise on schemes. It focuses on examples and strives to show "what's going on" behind the definitions. There are many exercises to test and extend the reader's understanding. The prerequisites are modest: a little commutative algebra and an acquaintance with algebraic varieties, roughly at the level of a onesemester course. The book aims to show schemes in relation to other geometric ideas, such as the theory of manifolds. Some familiarity with these ideas is helpful, though not required."Jacket
27 editions published between 1999 and 2010 in English and Italian and held by 494 WorldCat member libraries worldwide
"This book is intended to bridge the chasm between a first course in classical algebraic geometry and a technical treatise on schemes. It focuses on examples and strives to show "what's going on" behind the definitions. There are many exercises to test and extend the reader's understanding. The prerequisites are modest: a little commutative algebra and an acquaintance with algebraic varieties, roughly at the level of a onesemester course. The book aims to show schemes in relation to other geometric ideas, such as the theory of manifolds. Some familiarity with these ideas is helpful, though not required."Jacket
Moduli of curves by
Joe Harris(
Book
)
23 editions published between 1989 and 2011 in English and held by 434 WorldCat member libraries worldwide
This book provides a guide to a rich and fascinating subject: algebraic curves and how they vary in families. The aim has been to provide a broad but compact overview of the field, which will be accessible to readers with a modest background in algebraic geometry. Many techniques including Hilbert schemes, deformation theory, stable reduction, intersection theory, and geometric invariant theory are developed, with a focus on examples and applications arising in the study of moduli of curves. From such foundations, the book goes on to show how moduli spaces of curves are constructed, to illustrate typical applications with the proofs of the BrillNoether and Gieseker Petri theorems via limit linear series, and to survey the most important results about their geometry ranging from irreducibility and complete subvarieties to ample divisors and Kodaira dimension. With over 180 exercises and 70 figures, the book also provides a concise introduction to the main results and open problems about important
23 editions published between 1989 and 2011 in English and held by 434 WorldCat member libraries worldwide
This book provides a guide to a rich and fascinating subject: algebraic curves and how they vary in families. The aim has been to provide a broad but compact overview of the field, which will be accessible to readers with a modest background in algebraic geometry. Many techniques including Hilbert schemes, deformation theory, stable reduction, intersection theory, and geometric invariant theory are developed, with a focus on examples and applications arising in the study of moduli of curves. From such foundations, the book goes on to show how moduli spaces of curves are constructed, to illustrate typical applications with the proofs of the BrillNoether and Gieseker Petri theorems via limit linear series, and to survey the most important results about their geometry ranging from irreducibility and complete subvarieties to ample divisors and Kodaira dimension. With over 180 exercises and 70 figures, the book also provides a concise introduction to the main results and open problems about important
Schemes : the language of modern algebraic geometry by
David Eisenbud(
Book
)
13 editions published between 1991 and 1999 in English and held by 365 WorldCat member libraries worldwide
13 editions published between 1991 and 1999 in English and held by 365 WorldCat member libraries worldwide
Curves in projective space by
Joe Harris(
Book
)
15 editions published between 1982 and 1984 in English and French and held by 204 WorldCat member libraries worldwide
15 editions published between 1982 and 1984 in English and French and held by 204 WorldCat member libraries worldwide
The magic of numbers by
Benedict H Gross(
Book
)
10 editions published between 2004 and 2005 in English and Japanese and held by 114 WorldCat member libraries worldwide
10 editions published between 2004 and 2005 in English and Japanese and held by 114 WorldCat member libraries worldwide
50 classical guitar pieces : in tablature and standard notation(
)
2 editions published in 1999 in No Linguistic content and Undetermined and held by 81 WorldCat member libraries worldwide
2 editions published in 1999 in No Linguistic content and Undetermined and held by 81 WorldCat member libraries worldwide
Geometry of algebraic curves by
E Arbarello(
Book
)
10 editions published in 2011 in English and held by 72 WorldCat member libraries worldwide
Annotation
10 editions published in 2011 in English and held by 72 WorldCat member libraries worldwide
Annotation
3264 and all that : a second course in algebraic geometry by
David Eisenbud(
Book
)
7 editions published in 2016 in English and held by 71 WorldCat member libraries worldwide
3264, the mathematical solution to a question concerning geometric figures
7 editions published in 2016 in English and held by 71 WorldCat member libraries worldwide
3264, the mathematical solution to a question concerning geometric figures
A celebration of algebraic geometry : a conference in honor of Joe Harris' 60th birthday, Harvard University, Cambridge, Massachusetts,
August 2528, 2011 by Algebraic geometry conference(
Book
)
5 editions published in 2013 in English and held by 60 WorldCat member libraries worldwide
5 editions published in 2013 in English and held by 60 WorldCat member libraries worldwide
Classical guitar of Spain by
Joe Harris(
)
2 editions published in 1998 in Undetermined and English and held by 52 WorldCat member libraries worldwide
2 editions published in 1998 in Undetermined and English and held by 52 WorldCat member libraries worldwide
The classical guitar collection : 50 favorites by 26 composers(
)
2 editions published between 1999 and 2002 in No Linguistic content and Undetermined and held by 46 WorldCat member libraries worldwide
2 editions published between 1999 and 2002 in No Linguistic content and Undetermined and held by 46 WorldCat member libraries worldwide
Classical guitar music of Antonio Vivaldi by
Antonio Vivaldi(
)
3 editions published in 1999 in No Linguistic content and Undetermined and held by 37 WorldCat member libraries worldwide
3 editions published in 1999 in No Linguistic content and Undetermined and held by 37 WorldCat member libraries worldwide
Geometry of algebraic curves by
E Arbarello(
Book
)
5 editions published in 1985 in English and Undetermined and held by 35 WorldCat member libraries worldwide
In recent years there has been enormous activity in the theory of algebraic curves. Many longstanding problems have been solved using the general techniques developed in algebraic geometry during the 1950's and 1960's. Additionally, unexpected and deep connections between algebraic curves and differential equations have been uncovered, and these in turn shed light on other classical problems in curve theory. It seems fair to say that the theory of algebraic curves looks completely different now from how it appeared 15 years ago; in particular, our current state of knowledge repre sents a significant advance beyond the legacy left by the classical geometers such as Noether, Castelnuovo, Enriques, and Severi. These books give a presentation of one of the central areas of this recent activity; namely, the study of linear series on both a fixed curve (Volume I) and on a variable curve (Volume II). Our goal is to give a comprehensive and selfcontained account of the extrinsic geometry of algebraic curves, which in our opinion constitutes the main geometric core of the recent advances in curve theory. Along the way we shall, of course, discuss appli cations of the theory of linear series to a number of classical topics (e.g., the geometry of the Riemann theta divisor) as well as to some of the current research (e.g., the Kodaira dimension of the moduli space of curves)
5 editions published in 1985 in English and Undetermined and held by 35 WorldCat member libraries worldwide
In recent years there has been enormous activity in the theory of algebraic curves. Many longstanding problems have been solved using the general techniques developed in algebraic geometry during the 1950's and 1960's. Additionally, unexpected and deep connections between algebraic curves and differential equations have been uncovered, and these in turn shed light on other classical problems in curve theory. It seems fair to say that the theory of algebraic curves looks completely different now from how it appeared 15 years ago; in particular, our current state of knowledge repre sents a significant advance beyond the legacy left by the classical geometers such as Noether, Castelnuovo, Enriques, and Severi. These books give a presentation of one of the central areas of this recent activity; namely, the study of linear series on both a fixed curve (Volume I) and on a variable curve (Volume II). Our goal is to give a comprehensive and selfcontained account of the extrinsic geometry of algebraic curves, which in our opinion constitutes the main geometric core of the recent advances in curve theory. Along the way we shall, of course, discuss appli cations of the theory of linear series to a number of classical topics (e.g., the geometry of the Riemann theta divisor) as well as to some of the current research (e.g., the Kodaira dimension of the moduli space of curves)
Classical guitar of the baroque era(
)
1 edition published in 1998 and held by 30 WorldCat member libraries worldwide
1 edition published in 1998 and held by 30 WorldCat member libraries worldwide
Classical guitar of Fernando Sor by
Fernando Sor(
)
2 editions published in 1999 in Undetermined and English and held by 26 WorldCat member libraries worldwide
2 editions published in 1999 in Undetermined and English and held by 26 WorldCat member libraries worldwide
Principy algebraičeskoj geometrii : v dvuch tomach by
Phillip Griffiths(
Book
)
2 editions published in 1982 in Russian and held by 5 WorldCat member libraries worldwide
2 editions published in 1982 in Russian and held by 5 WorldCat member libraries worldwide
The Geometry of Schemes {Graduate Texts in Mathematics ; 197} by
David Eisenbud(
)
1 edition published in 2000 in English and held by 0 WorldCat member libraries worldwide
The theory of schemes is the foundation for algebraic geometry proposed and elaborated by Alexander Grothendieck and his coworkers. It has allowed major progress in classical areas of algebraic geometry such as invariant theory and the moduli of curves. It integrates algebraic number theory with algebraic geometry, fulfilling the dreams of earlier generations of number theorists
1 edition published in 2000 in English and held by 0 WorldCat member libraries worldwide
The theory of schemes is the foundation for algebraic geometry proposed and elaborated by Alexander Grothendieck and his coworkers. It has allowed major progress in classical areas of algebraic geometry such as invariant theory and the moduli of curves. It integrates algebraic number theory with algebraic geometry, fulfilling the dreams of earlier generations of number theorists
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Related Identities
 Eisenbud, David Other Author Contributor
 Griffiths, Phillip 1938 Author
 Morrison, Ian 1950
 Fulton, William 1939 Author
 Arbarello, E. Author
 Cornalba, M. (Maurizio)
 Gross, Benedict H. 1950 Author
 Hassett, Brendan Editor
 Starr, Jason M. (Jason Michael)
 American Mathematical Society
Useful Links
Associated Subjects
Cell aggregationMathematics Combinatorial analysis Curves, Algebraic Differential equations, Partial Functions of complex variables Geometry, Algebraic Group schemes (Mathematics) Guitar music Guitar music, Arranged Lie algebras Lie groups Mathematics Moduli theory Music Projective spaces Representations of algebras Representations of groups Schemes (Algebraic geometry) Topological groups
Alternative Names
Charris, Dž 1951
Harris, Dž.
Harris, J.
Harris, Joe 1951
Harris, Joseph
Harris, Joseph 1951
Harris, Joseph 1951 août 17
Harris, Joseph 1951 August 17
Harris, Joseph D. 1951
Harris, Joseph Daniel.
Harris, Joseph Daniel 1951
Joe Harris Amerikaans wiskundige
Joe Harris amerikansk matematikar
Joe Harris amerikansk matematiker
Joe Harris matematico statunitense
Joe Harris mathématicien américain
Joe Harris (mathématicien) mathématicien américain
Joe Harris USamerikanischer Mathematiker
Джо Харрис
جو هریس ریاضیدان آمریکایی
헤리스, 조
ハリス, ジョー
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