Kirwan, Frances Clare 1959
Overview
Works:  32 works in 113 publications in 1 language and 1,813 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Other, Editor, Thesis advisor 
Classifications:  QA564, 514 
Publication Timeline
.
Most widely held works by
Frances Clare Kirwan
Complex algebraic curves by
Frances Clare Kirwan(
Book
)
31 editions published between 1987 and 1999 in English and held by 570 WorldCat member libraries worldwide
This book introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis
31 editions published between 1987 and 1999 in English and held by 570 WorldCat member libraries worldwide
This book introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis
An introduction to intersection homology theory by
Frances Clare Kirwan(
Book
)
23 editions published between 1988 and 2006 in English and held by 422 WorldCat member libraries worldwide
23 editions published between 1988 and 2006 in English and held by 422 WorldCat member libraries worldwide
Cohomology of quotients in symplectic and algebraic geometry by
Frances Clare Kirwan(
Book
)
12 editions published in 1984 in English and held by 345 WorldCat member libraries worldwide
12 editions published in 1984 in English and held by 345 WorldCat member libraries worldwide
Geometric invariant theory by
David Mumford(
Book
)
14 editions published between 1965 and 2012 in English and held by 320 WorldCat member libraries worldwide
14 editions published between 1965 and 2012 in English and held by 320 WorldCat member libraries worldwide
European women in mathematics : workshop on moduli spaces in mathematics and physics [held] Oxford, 2 and 3 July 1998(
Book
)
3 editions published between 2000 and 2001 in English and held by 7 WorldCat member libraries worldwide
3 editions published between 2000 and 2001 in English and held by 7 WorldCat member libraries worldwide
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](
Book
)
1 edition published in 1999 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1999 in English and held by 2 WorldCat member libraries worldwide
Cohomology of moduli spaces 08.09.  14.09.1996(
Book
)
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
European Women in Mathematics Workshop on Moduli Spaces in Mathematics and Physics Proceedings, European Women in Mathematics
Workshop, Oxford, U. K., 1998(
)
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
Completely bounded maps and operator algebras by
Vern I Paulsen(
)
1 edition published in 2003 in English and held by 0 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 0 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
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
Affine Hecke algebras and orthogonal polynomials by
I. G Macdonald(
)
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
A satisfactory and coherent theory of orthogonal polynomials in several variables, attached to root systems, and depending on two or more parameters, has developed in recent years. This comprehensive account of the subject provides a unified foundation for the theory to which I.G. Macdonald has been a principal contributor. The first four chapters lead up to Chapter 5 which contains all the main results
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
A satisfactory and coherent theory of orthogonal polynomials in several variables, attached to root systems, and depending on two or more parameters, has developed in recent years. This comprehensive account of the subject provides a unified foundation for the theory to which I.G. Macdonald has been a principal contributor. The first four chapters lead up to Chapter 5 which contains all the main results
Harmonic maps, conservation laws, and moving frames by
Frédéric Hélein(
)
1 edition published in 2002 in English and held by 0 WorldCat member libraries worldwide
Annotation This accessible introduction to harmonic map theory and its analytical aspects, covers recent developments in the regularity theory of weakly harmonic maps. The book begins by introducing these concepts, stressing the interplay between geometry, the role of symmetries and weak solutions. It then presents a guided tour into the theory of completely integrable systems for harmonic maps, followed by two chapters devoted to recent results on the regularity of weak solutions. A presentation of "exotic" functional spaces from the theory of harmonic analysis is given and these tools are then used for proving regularity results. The importance of conservation laws is stressed and the concept of a "Coulomb moving frame" is explained in detail. The book ends with further applications and illustrations of Coulomb moving frames to the theory of surfaces
1 edition published in 2002 in English and held by 0 WorldCat member libraries worldwide
Annotation This accessible introduction to harmonic map theory and its analytical aspects, covers recent developments in the regularity theory of weakly harmonic maps. The book begins by introducing these concepts, stressing the interplay between geometry, the role of symmetries and weak solutions. It then presents a guided tour into the theory of completely integrable systems for harmonic maps, followed by two chapters devoted to recent results on the regularity of weak solutions. A presentation of "exotic" functional spaces from the theory of harmonic analysis is given and these tools are then used for proving regularity results. The importance of conservation laws is stressed and the concept of a "Coulomb moving frame" is explained in detail. The book ends with further applications and illustrations of Coulomb moving frames to the theory of surfaces
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
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
Lectures in logic and 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
An introduction to nonlinear analysis by
Martin Schechter(
)
1 edition published in 2005 in English and held by 0 WorldCat member libraries worldwide
The techniques used to solve nonlinear problems differ greatly from those dealing with linear features. Deriving all the necessary theorems and principles from first principles, this textbook gives upper undergraduates and graduate students a thorough understanding using as little background material as possible
1 edition published in 2005 in English and held by 0 WorldCat member libraries worldwide
The techniques used to solve nonlinear problems differ greatly from those dealing with linear features. Deriving all the necessary theorems and principles from first principles, this textbook gives upper undergraduates and graduate students a thorough understanding using as little background material as possible
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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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–Zehnder– 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–Zehnder– 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
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
Harmonic Maps, Conservation Laws and Moving Frames by Frdric Hlein(
)
1 edition 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
1 edition 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
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Related Identities
 Fogarty, John 1934
 Mumford, David 1937 Author
 Woolf, Jonathan
 Fulton, W. Other Editor
 Bollobas, B. Other Editor
 Katok, A. Other Editor
 Sarnak, P. Other Editor
 Simon, B. Other
 Alpern, S. R. Author
 Prasad, V. (V. S.)
Useful Links
Associated Subjects
Affine algebraic groups Algebra Algebra, Homological Algebraic varieties Curves, Algebraic Differentiable dynamical systems Differential equations, Nonlinear Dilation theory (Operator theory) Ergodic theory Finite groups Fixed point theory Floer homology Functions of complex variables Geometry Geometry, Algebraic Geometry, Differential Group schemes (Mathematics) Harmonic analysis Harmonic maps Hecke algebras Homeomorphisms Homology theory Intersection homology theory Intersection theory Invariants Logic, Symbolic and mathematical Mappings (Mathematics) Measurepreserving transformations Moduli theory Nonlinear boundary value problems Nonlinear functional analysis Nonlinear theories Numerical analysis Operator algebras Orthogonal polynomials 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
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
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