Kirwan, Frances Clare 1959
Overview
Works:  31 works in 131 publications in 2 languages and 3,405 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Other, Editor, Thesis advisor 
Classifications:  QA564, 516.35 
Publication Timeline
.
Most widely held works by
Frances Clare Kirwan
Complex algebraic curves by
Frances Clare Kirwan(
Book
)
36 editions published between 1987 and 1999 in English and held by 597 WorldCat member libraries worldwide
Complex algebraic curves were developed in the nineteenth century. They have many fascinating properties and crop up in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired by most undergraduate courses in mathematics, Dr Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis. This book grew from a lecture course given by Dr Kirwan at Oxford University and will be an excellent companion for final year undergraduates and graduates who are studying complex algebraic curves
36 editions published between 1987 and 1999 in English and held by 597 WorldCat member libraries worldwide
Complex algebraic curves were developed in the nineteenth century. They have many fascinating properties and crop up in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired by most undergraduate courses in mathematics, Dr Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis. This book grew from a lecture course given by Dr Kirwan at Oxford University and will be an excellent companion for final year undergraduates and graduates who are studying complex algebraic curves
An introduction to intersection homology theory by
Frances Clare Kirwan(
Book
)
26 editions published between 1988 and 2006 in English and held by 450 WorldCat member libraries worldwide
26 editions published between 1988 and 2006 in English and held by 450 WorldCat member libraries worldwide
Cohomology of quotients in symplectic and algebraic geometry by
Frances Clare Kirwan(
Book
)
16 editions published between 1983 and 1984 in English and held by 359 WorldCat member libraries worldwide
16 editions published between 1983 and 1984 in English and held by 359 WorldCat member libraries worldwide
Geometric invariant theory by
David Mumford(
Book
)
3 editions published between 1994 and 2002 in English and held by 240 WorldCat member libraries worldwide
3 editions published between 1994 and 2002 in English and held by 240 WorldCat member libraries worldwide
Geometric invariant theory by
David Mumford(
Book
)
15 editions published between 1965 and 2012 in English and held by 107 WorldCat member libraries worldwide
15 editions published between 1965 and 2012 in English and held by 107 WorldCat member libraries worldwide
European women in mathematics : workshop on moduli spaces in mathematics and physics [held] Oxford, 2 and 3 July 1998 by European Women in Mathematics Workshop on Moduli Spaces(
Book
)
3 editions published between 2000 and 2001 in English and held by 6 WorldCat member libraries worldwide
3 editions published between 2000 and 2001 in English and held by 6 WorldCat member libraries worldwide
Complex algebraic curves by
Frances Clare Kirwan(
)
1 edition published in 1992 in English and held by 6 WorldCat member libraries worldwide
Complex algebraic curves were developed in the nineteenth century. They have many fascinating properties and crop up in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired by most undergraduate courses in mathematics, Dr Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis. This book grew from a lecture course given by Dr Kirwan at Oxford University and will be an excellent companion for final year undergraduates and graduates who are studying complex algebraic curves
1 edition published in 1992 in English and held by 6 WorldCat member libraries worldwide
Complex algebraic curves were developed in the nineteenth century. They have many fascinating properties and crop up in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired by most undergraduate courses in mathematics, Dr Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis. This book grew from a lecture course given by Dr Kirwan at Oxford University and will be an excellent companion for final year undergraduates and graduates who are studying complex algebraic curves
European women in mathematics workshop on moduli spaces in mathematics and physics : Oxford, July 2 and 3, 1998 ; [... proceedings
of the European women in mathematics workshop on moduli spaces which was held at Oxford in July 1998] by
Frances Clare Kirwan(
Book
)
3 editions published between 1999 and 2003 in English and held by 3 WorldCat member libraries worldwide
3 editions published between 1999 and 2003 in English and held by 3 WorldCat member libraries worldwide
Complex algebraic curves = fu dai shu qu mian by
Frances Clare Kirwan(
Book
)
2 editions published in 2008 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2008 in English and held by 2 WorldCat member libraries worldwide
Cohomologie équivariante des espaces SU(n)2g et de leurs réductions quasihamiltoniennes by
Sébastien Racanière(
Book
)
1 edition published in 2002 in French and held by 2 WorldCat member libraries worldwide
Il est bien connu que dans la réduction d'un espace hamiltonien, l'application de restriction est surjective. Dans le cadre quasihamiltonien les choses sont plus compliquées. Nous nous proposons d'étudier le cas de l'espace SU(n)2̂g . La réduction de cet espace en un élément du centre de SU(n) est isomorphe à un espace de modules de fibrés holomorphes semistables sur une surface de Riemann.En premier lieu nous nous intéressons à sa réduction en un générateur du centre de SU(n). Nous décrivons l'application de restriction dans ce cas en fonctions de générateurs multiplicatifs naturels de la cohomologie équivariante de SU(n)2̂g et de la cohomologie de l'espace de modules.Dans un deuxième temps, nous nous intéressons à sa réduction en la matrice identité de SU(n). L'application de restriction est ici injective. Après l'étude d'une famille de fonctions de MorseBott sur SU(n)2̂g, nous proposons une interprétation géométrique de l'injectivité de l'application de restriction dans les cas n=2 ou 3
1 edition published in 2002 in French and held by 2 WorldCat member libraries worldwide
Il est bien connu que dans la réduction d'un espace hamiltonien, l'application de restriction est surjective. Dans le cadre quasihamiltonien les choses sont plus compliquées. Nous nous proposons d'étudier le cas de l'espace SU(n)2̂g . La réduction de cet espace en un élément du centre de SU(n) est isomorphe à un espace de modules de fibrés holomorphes semistables sur une surface de Riemann.En premier lieu nous nous intéressons à sa réduction en un générateur du centre de SU(n). Nous décrivons l'application de restriction dans ce cas en fonctions de générateurs multiplicatifs naturels de la cohomologie équivariante de SU(n)2̂g et de la cohomologie de l'espace de modules.Dans un deuxième temps, nous nous intéressons à sa réduction en la matrice identité de SU(n). L'application de restriction est ici injective. Après l'étude d'une famille de fonctions de MorseBott sur SU(n)2̂g, nous proposons une interprétation géométrique de l'injectivité de l'application de restriction dans les cas n=2 ou 3
Floer Homology Groups in YangMills Theory by
S. K Donaldson(
)
1 edition published in 2002 in English and held by 0 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
1 edition published in 2002 in English and held by 0 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
Galois Theories by
Francis Borceux(
)
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
Starting from the classical finitedimensional Galois theory of fields, this book develops Galois theory in a much more general context. The authors first formalize the categorical context in which a general Galois theorem holds, and then give applications to Galois theory for commutative rings, central extensions of groups, the topological theory of covering maps and a Galois theorem for toposes. The book is designed to be accessible to a wide audience, the prerequisites are first courses in algebra and general topology, together with some familiarity with the categorical notions of limit and adjoint functors. For all algebraists and category theorists this book will be a rewarding read
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
Starting from the classical finitedimensional Galois theory of fields, this book develops Galois theory in a much more general context. The authors first formalize the categorical context in which a general Galois theorem holds, and then give applications to Galois theory for commutative rings, central extensions of groups, the topological theory of covering maps and a Galois theorem for toposes. The book is designed to be accessible to a wide audience, the prerequisites are first courses in algebra and general topology, together with some familiarity with the categorical notions of limit and adjoint functors. For all algebraists and category theorists this book will be a rewarding read
Global methods for combinatorial isoperimetric problems by
Lawrence H Harper(
)
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
"This book is based on Professor Harper's many years' experience in teaching this subject and is ideal for graduate students entering the field. The author has increased the utility of the text for teaching by including worked examples, exercises, and material about applications to computer science. Applied systematically, the global point of view can lead to surprising insights and results, and established researchers will find this to be a valuable reference work on an innovative method for problem solving."Jacket
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
"This book is based on Professor Harper's many years' experience in teaching this subject and is ideal for graduate students entering the field. The author has increased the utility of the text for teaching by including worked examples, exercises, and material about applications to computer science. Applied systematically, the global point of view can lead to surprising insights and results, and established researchers will find this to be a valuable reference work on an innovative method for problem solving."Jacket
Fixed point theory and applications by
Ravi P Agarwal(
)
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
Annotation This clear exposition of the flourishing field of fixed point theory, an important tool in the fields of differential equations and functional equations, starts from the basics of Banach's contraction theorem and develops most of the main results and techniques. The book explores many applications of the theory to analysis, with topological considerations playing a crucial role. The very extensive bibliography and close to 100 exercises mean that it can be used both as a text and as a comprehensive reference work, currently the only one of its type
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
Annotation This clear exposition of the flourishing field of fixed point theory, an important tool in the fields of differential equations and functional equations, starts from the basics of Banach's contraction theorem and develops most of the main results and techniques. The book explores many applications of the theory to analysis, with topological considerations playing a crucial role. The very extensive bibliography and close to 100 exercises mean that it can be used both as a text and as a comprehensive reference work, currently the only one of its type
Harmonic Maps, Conservation Laws and Moving Frames by
Béla Bollobás(
)
2 editions published in 2002 in English and held by 0 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
2 editions published in 2002 in English and held by 0 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
Set theory by
George J Tourlakis(
)
1 edition published in 2003 in English and held by 0 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 0 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
Representation theory of finite reductive groups by
Marc Cabanes(
)
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
At the crossroads of representation theory, algebraic geometry and finite group theory, this book brings together many of the main concerns of modern algebra, synthesizing the past twentyfive years of research, by including some of the most remarkable achievements in the field. The text is illustrated throughout by many examples, and background material is provided by several introductory chapters on basic results as well as appendices on algebraic geometry and derived categories. The result is an essential introduction for graduate students and a reference for all algebraists
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
At the crossroads of representation theory, algebraic geometry and finite group theory, this book brings together many of the main concerns of modern algebra, synthesizing the past twentyfive years of research, by including some of the most remarkable achievements in the field. The text is illustrated throughout by many examples, and background material is provided by several introductory chapters on basic results as well as appendices on algebraic geometry and derived categories. The result is an essential introduction for graduate students and a reference for all algebraists
Typical dynamics of volume preserving homeomorphisms by
Steve Alpern(
)
3 editions published in 2001 in English and held by 0 WorldCat member libraries worldwide
This 2000 book provides a selfcontained introduction to typical properties of homeomorphisms. Examples of properties of homeomorphisms considered include transitivity, chaos and ergodicity. A key idea here is the interrelation between typical properties of volume preserving homeomorphisms and typical properties of volume preserving bijections of the underlying measure space. The authors make the first part of this book very concrete by considering volume preserving homeomorphisms of the unit ndimensional cube, and they go on to prove fixed point theorems (Conley & ndash;Zehnder & ndash; Franks). This is done in a number of short selfcontained chapters which would be suitable for an undergraduate analysis seminar or a graduate lecture course. Much of this work describes the work of the two authors, over the last twenty years, in extending to different settings and properties, the celebrated result of Oxtoby and Ulam that for volume homeomorphisms of the unit cube, ergodicity is a typical property
3 editions published in 2001 in English and held by 0 WorldCat member libraries worldwide
This 2000 book provides a selfcontained introduction to typical properties of homeomorphisms. Examples of properties of homeomorphisms considered include transitivity, chaos and ergodicity. A key idea here is the interrelation between typical properties of volume preserving homeomorphisms and typical properties of volume preserving bijections of the underlying measure space. The authors make the first part of this book very concrete by considering volume preserving homeomorphisms of the unit ndimensional cube, and they go on to prove fixed point theorems (Conley & ndash;Zehnder & ndash; Franks). This is done in a number of short selfcontained chapters which would be suitable for an undergraduate analysis seminar or a graduate lecture course. Much of this work describes the work of the two authors, over the last twenty years, in extending to different settings and properties, the celebrated result of Oxtoby and Ulam that for volume homeomorphisms of the unit cube, ergodicity is a typical property
Complex polynomials by
T SheilSmall(
)
2 editions published in 2003 in English and held by 0 WorldCat member libraries worldwide
Complex Polynomials explores the geometric theory of polynomials and rational functions in the plane. Early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology, and analysis. Throughout the book, the author introduces a variety of ideas and constructs theories around them, incorporating much of the classical theory of polynomials as he proceeds. These ideas are used to study a number of unsolved problems. Several solutions to problems are given, including a comprehensive account of the geometric convolution theory
2 editions published in 2003 in English and held by 0 WorldCat member libraries worldwide
Complex Polynomials explores the geometric theory of polynomials and rational functions in the plane. Early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology, and analysis. Throughout the book, the author introduces a variety of ideas and constructs theories around them, incorporating much of the classical theory of polynomials as he proceeds. These ideas are used to study a number of unsolved problems. Several solutions to problems are given, including a comprehensive account of the geometric convolution theory
Moduli spaces in mathematics and physics(
)
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
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1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Katok, A. Other Editor
 Bollobas, B. Other Editor
 Sarnak, P. Other Editor
 Fulton, W. Other Editor
 Mumford, David 1937 Author
 Fogarty, John 1934
 Hlein, Frdric Other Author
 Tourlakis, George Author
 Prasad, V. (V. S.)
 Alpern, S. R. Author
Useful Links
Associated Subjects
Algebra, Homological Algebraic topology Algebraic varieties Calculus of variations Combinatorial optimization Curves, Algebraic Differentiable dynamical systems Ergodic theory Finite groups Fixed point theory Functions of complex variables Geometry Geometry, Algebraic Geometry, Differential Group schemes (Mathematics) Harmonic maps Homeomorphisms Homology theory Intersection homology theory Intersection theory (Mathematics) Invariants Logic, Symbolic and mathematical Mappings (Mathematics) Mathematics Measurepreserving transformations Moduli theory Morphisms (Mathematics) Polynomials Representations of groups Riemannian manifolds Set theory Symplectic manifolds Teichmüller spaces Vector bundles YangMills theory
Alternative Names
Frances Kirwan britische Mathematikerin
Frances Kirwan British mathematician
Frances Kirwan Brits wiskundige
Frances Kirwan matemática británica
Frances Kirwan matematiciană britanică
Frances Kirwan matematico britannico
Frances Kirwan mathématicienne britannique
Frances Kirwan Suurbritannia matemaatik
Kirwan, F.
Kirwan, F. 1959
Kirwan, F. (Frances), 1959
Kirwan, Frances.
Kirwan, Frances, 1959
Kirwan, Frances C. 1959
Kirwan, Frances Clare
Kirwan, Frances Clare 1959
弗朗西斯·柯万
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