Kirwan, Frances Clare 1959
Overview
Works:  30 works in 117 publications in 1 language and 2,334 library holdings 

Genres:  Conference papers and 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
)
32 editions published between 1987 and 1999 in English and held by 582 WorldCat member libraries worldwide
2.2 Complex projective spaces2.3 Complex projective curves in P2; 2.4 Affine and projective curves; 2.5 Exercises; Chapter 3 Algebraic properties; 3.1 Bezout's theorem; 3.2 Points of inflection and cubic curves; 3.3 Exercises; Chapter 4 Topological properties; 4.1 The degreegenus formula; 4.1.1 The first method of proof; 4.1.2 The second method of proof; 4.2 Branched covers of PI; 4.3 Proof of the degreegenus formula; 4.4 Exercises; Chapter 5 Riemann surfaces; 5.1 The Weierstrass pfunction; 5.2 Riemann surfaces; 5.3 Exercises; Chapter 6 Differentials on Riemann surfaces
32 editions published between 1987 and 1999 in English and held by 582 WorldCat member libraries worldwide
2.2 Complex projective spaces2.3 Complex projective curves in P2; 2.4 Affine and projective curves; 2.5 Exercises; Chapter 3 Algebraic properties; 3.1 Bezout's theorem; 3.2 Points of inflection and cubic curves; 3.3 Exercises; Chapter 4 Topological properties; 4.1 The degreegenus formula; 4.1.1 The first method of proof; 4.1.2 The second method of proof; 4.2 Branched covers of PI; 4.3 Proof of the degreegenus formula; 4.4 Exercises; Chapter 5 Riemann surfaces; 5.1 The Weierstrass pfunction; 5.2 Riemann surfaces; 5.3 Exercises; Chapter 6 Differentials on Riemann surfaces
An introduction to intersection homology theory by
Frances Clare Kirwan(
Book
)
26 editions published between 1988 and 2006 in English and Undetermined and held by 433 WorldCat member libraries worldwide
26 editions published between 1988 and 2006 in English and Undetermined and held by 433 WorldCat member libraries worldwide
Cohomology of quotients in symplectic and algebraic geometry by
Frances Clare Kirwan(
Book
)
13 editions published in 1984 in English and held by 354 WorldCat member libraries worldwide
13 editions published in 1984 in English and held by 354 WorldCat member libraries worldwide
Geometric invariant theory by
David Mumford(
Book
)
15 editions published between 1965 and 2012 in English and held by 328 WorldCat member libraries worldwide
15 editions published between 1965 and 2012 in English and held by 328 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
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
Moduli spaces in mathematics and physics by European Women in Mathematics workshop on Moduli Spaces(
)
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 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 0 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
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
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
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
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
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
Cohomology of Drinfeld modular varieties by
Grard Laumon(
)
1 edition published in 1997 in English and held by 0 WorldCat member libraries worldwide
Cohomology of Drinfeld Modular Varieties aims to provide an introduction to this subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands correspondence is a conjectured link between automorphic forms and Galois representations over a global field. By analogy with the numbertheoretic case, one expects to establish the conjecture for function fields by studying the cohomology of Drinfeld modular varieties, which has been done by Drinfeld himself for the rank two case. This second volume is concerned with the ArthurSHSelberg trace formula, and to the proof in some cases of the RamanujanPetersson conjecture and the global Langlands conjecture for function fields. The author uses techniques that are extensions of those used to study Shimura varieties. Though the author considers only the simpler case of function rather than number fields, many important features of the number field case can be illustrated. Several appendices on background material keep the work reasonably selfcontained. This book will be of much interest to all researchers in algebraic number theory and representation theory
1 edition published in 1997 in English and held by 0 WorldCat member libraries worldwide
Cohomology of Drinfeld Modular Varieties aims to provide an introduction to this subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands correspondence is a conjectured link between automorphic forms and Galois representations over a global field. By analogy with the numbertheoretic case, one expects to establish the conjecture for function fields by studying the cohomology of Drinfeld modular varieties, which has been done by Drinfeld himself for the rank two case. This second volume is concerned with the ArthurSHSelberg trace formula, and to the proof in some cases of the RamanujanPetersson conjecture and the global Langlands conjecture for function fields. The author uses techniques that are extensions of those used to study Shimura varieties. Though the author considers only the simpler case of function rather than number fields, many important features of the number field case can be illustrated. Several appendices on background material keep the work reasonably selfcontained. This book will be of much interest to all researchers in algebraic number theory and representation theory
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
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
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
The logarithmic integral by
Paul Koosis(
)
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
The theme of this work, the logarithmic integral, lies athwart much of twentiethcentury analysis. It is a thread connecting many apparently separate parts of the subject, and so is a natural point at which to begin a serious study of real and complex analysis. Professor Koosis' aim is to show how, from simple ideas, one can build up an investigation which explains and clarifies many different, seemingly unrelated problems; to show, in effect, how mathematics grows. The presentation is straightforward, so that by following the theme, Professor Koosis has produced a work that can be read as a whole. He has brought together here many results, some unpublished, some new, and some available only in inaccessible journals
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
The theme of this work, the logarithmic integral, lies athwart much of twentiethcentury analysis. It is a thread connecting many apparently separate parts of the subject, and so is a natural point at which to begin a serious study of real and complex analysis. Professor Koosis' aim is to show how, from simple ideas, one can build up an investigation which explains and clarifies many different, seemingly unrelated problems; to show, in effect, how mathematics grows. The presentation is straightforward, so that by following the theme, Professor Koosis has produced a work that can be read as a whole. He has brought together here many results, some unpublished, some new, and some available only in inaccessible journals
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
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Related Identities
 Fogarty, John 1934
 Mumford, David 1937 Author
 Woolf, Jonathan
 Bollobas, B. Other Editor
 Sarnak, P. Other Editor
 Katok, A. Other Editor
 Fulton, W. Other Editor
 Simon, B. Other
 Prasad, V. (V. S.)
 Alpern, S. R. Author
Associated Subjects
Algebra, Homological Algebraic varieties Analytic functions Curves, Algebraic Differentiable dynamical systems Differential equations, Nonlinear Drinfeld modular varieties Ergodic theory Finite groups Fixed point theory Floer homology Functions of complex variables Galois theory Geometry Geometry, Algebraic Geometry, Differential Group schemes (Mathematics) Harmonic analysis Harmonic maps Homeomorphisms Homology theory Integrals Integrals, Logarithmic Intersection homology theory Intersection theory Invariants Logarithms Logic, Symbolic and mathematical Mappings (Mathematics) Measurepreserving transformations Moduli theory Nonlinear boundary value problems Nonlinear functional analysis Nonlinear theories Numerical analysis Polynomials Representations of groups Riemannian manifolds Set theory Symplectic manifolds Teichmüller spaces Vector bundles YangMills theory