Frances Kirwan

Q: What Schools Are Affiliated With Frances Kirwan

Frances Kirwan is affiliated with the following schools: University of Oxford, University of Cambridge

Frances Kirwan's AcademicInfluence.com Rankings

Frances Kirwan

Mathematics

#1496

World Rank

#2445

Historical Rank

Algebraic Geometry

#86

World Rank

#92

Historical Rank

Measure Theory

#2584

World Rank

#3098

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Frances Kirwan's Degrees

PhD Mathematics University of Oxford

Why Is Frances Kirwan Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Dame Frances Clare Kirwan, is a British mathematician, currently Savilian Professor of Geometry at the University of Oxford. Her fields of specialisation are algebraic and symplectic geometry. Education Kirwan was educated at Oxford High School, and studied maths as an undergraduate at Clare College in the University of Cambridge. She took a D.Phil at Oxford in 1984, with the dissertation title The Cohomology of Quotients in Symplectic and Algebraic Geometry, which was supervised by Michael Atiyah.

(See a Problem?)

Frances Kirwan's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31 (1984) (1047)
Localization for nonabelian group actions (1993) (376)
Convexity properties of the moment mapping, III (1984) (243)
Geometric invariant theory, Third Edition (1994) (230)
Partial desingularisations of quotients of nonsingular varieties and their Betti numbers (1985) (224)
MODULI OF CURVES (Graduate Texts in Mathematics 187) (2000) (196)
An introduction to intersection homology theory. (1988) (155)
Complex Algebraic Curves (1992) (118)
INTERSECTION THEORY ON MODULI SPACES OF HOLOMORPHIC BUNDLES OF ARBITRARY RANK ON A RIEMANN SURFACE (1996) (104)
On spaces of maps from Riemann surfaces to Grassmannians and applications to the cohomology of moduli of vector bundles (1985) (90)
The cohomology rings of moduli spaces of bundles over Riemann surfaces (1992) (86)
Localization and the quantization conjecture (1997) (79)
Towards non-reductive geometric invariant theory (2007) (78)
On the Homology of Compactifications of Moduli Spaces of Vector Bundles Over a Riemann Surface (1986) (73)
Complex Algebraic Curves: Contents (1992) (63)
An Introduction to Intersection Homology Theory, Second Edition (2006) (57)
Rational intersection cohomology of quotient varieties (1986) (53)
Rational intersection cohomology of quotient varieties. II (1986) (51)
Analysis of stability (1965) (45)
Intersection homology and torus actions (1988) (36)
Cohomology pairings on singular quotients in geometric invariant theory (2001) (33)
Geometric invariant theory for graded unipotent groups and applications (2016) (30)
Momentum maps and reduction in algebraic geometry (1998) (29)
Intersection pairings in moduli spaces of holomorphic bundles on a Riemann surface (1995) (28)
Implosion for hyperkähler manifolds (2012) (27)
The hodge numbers of the moduli spaces of vector bundles over a Riemann surface (2000) (26)
Quotients of unstable subvarieties and moduli spaces of sheaves of fixed Harder–Narasimhan type (2011) (25)
Quotients by non-reductive algebraic group actions (2008) (23)
Quotients of the complex ball by discrete groups. (1987) (23)
The topology of reduces phase spaces of the motion of vortices on a sphere (1988) (22)
Constructing quotients of algebraic varieties by linear algebraic group actions (2015) (21)
The Pontryagin Rings of Moduli Spaces of Arbitrary Rank Holomorphic Bundles Over a Riemann Surface (1997) (21)
A geometric construction for invariant jet differentials (2010) (20)
Symplectic implosion and nonreductive quotients (2008) (18)
Projective completions of graded unipotent quotients (2016) (17)
Refinements of the Morse stratification of the normsquare of the moment map (2003) (17)
The cohomology of moduli spaces of K3 surfaces of degree 2 (I) (1989) (16)
Complete Sets of Relations in the Cohomology Rings of Moduli Spaces of Holomorphic Bundles and Parabolic Bundles Over a Riemann Surface (2003) (16)
Cohomology of Moduli Spaces (2003) (16)
Yang–Mills theory and Tamagawa numbers: the fascination of unexpected links in mathematics (2008) (15)
ON LOCALIZATION AND RIEMANN-ROCH NUMBERS FOR SYMPLECTIC QUOTIENTS (1995) (13)
GRADED UNIPOTENT GROUPS AND GROSSHANS THEORY (2015) (13)
Stratifying quotient stacks and moduli stacks (2017) (11)
Intersection pairings in moduli spaces of vector bundles of arbitrary rank over a Riemann surface (1996) (11)
Hyperkähler Implosion and Nahm’s Equations (2014) (10)
Moduli spaces of bundles over Riemann surfaces and the Yang-Mills stratification revisited (2003) (10)
Orthosymplectic implosions (2021) (10)
IMPLOSIONS AND HYPERTORIC GEOMETRY (2013) (9)
On the cohomology of hyperkähler quotients (2008) (8)
Non-reductive geometric invariant theory and hyperbolicity. (2019) (8)
Variation of Non-reductive Geometric Invariant Theory (2017) (8)
Moment maps and cohomology of non-reductive quotients. (2019) (7)
Moduli spaces of degree $d$ hypersurfaces in $\mathbb{P}_n$ (1989) (7)
Twistor spaces for hyperkaehler implosions (2013) (6)
Morse functions for which the stationary phase approximation is exact (1987) (6)
Symplectic duality and implosions (2020) (6)
The Cohomology of Moduli Spaces of K3 Surfaces of Degree 2 (II) (1989) (5)
Symplectic and Hyperkähler Implosion (2014) (5)
Graded linearisations (2017) (4)
A multiplicative analogue of complex symplectic implosion (2015) (3)
Morse Theory without Non-Degeneracy (2019) (3)
Invariants for non-reductive group actions (2013) (3)
Some examples of minimally degenerate Morse functions (1987) (3)
Intersection Pairings on Quotients and Moduli Spaces, and Witten’s Nonabelian Localization (1995) (2)
On Embedding the 1 : 1 : 2 Resonance Space in a Poisson Manifold Ag Ust Sverrir Egilsson (1995) (1)
Symplectic quotients of unstable Morse strata for normsquares of moment maps (2018) (1)
A Note on Localization and the Riemann-Roch Formula (1996) (1)
L2-cohomology and intersection cohomology (2006) (1)
Memories of Sir Michael Atiyah (2019) (1)
The intersection cohomology of fans (2006) (0)
The Kazhdan—Lusztig conjecture (2006) (0)
Review of homology and cohomology (2006) (0)
Tables of Contents (2008) (0)
Complex Algebraic Curves: Singular curves (1992) (0)
Witt spaces and duality (2006) (0)
Review of sheaf cohomology and derived categories (2006) (0)
Moduli spaces of complexes of sheaves (2011) (0)
Fundamental theorems for the actions of reductive groups (1965) (0)
AHLER IMPLOSION AND NAHM'S EQUATIONS (2015) (0)
An elementary example (1965) (0)
From Michael Atiyah to the 21st century (2022) (0)
Kirwan Map and Moduli Space of Flat Connections (2004) (0)
Cambridge Studies in Advanced Mathematics 121 Representation Theory of the Symmetric Groups Cambridge Studies in Advanced Mathematics Representation Theory of the Symmetric Groups Central Projection Formulas 22 1.4 Permutation Representations 27 1.4.1 Wielandt's Lemma 27 1.4.2 Symmetric Actions and (2010) (0)
Surjectivity of the hyperkähler Kirwan map (2014) (0)
3 1 M ar 2 00 8 Quotients by non-reductive algebraic group actions (2009) (0)
Complex Algebraic Curves: Differentials on Riemann surfaces (1992) (0)
A pr 2 00 8 Quotients by non-reductive algebraic group actions (2009) (0)
The method of covariants — 2nd construction (1965) (0)
Complex Algebraic Curves: Bibliography (1992) (0)
Review: A. T. Fomenko, Differential geometry and topology (1988) (0)
Universal moduli of parabolic sheaves on stable marked curves (2011) (0)
The problem of moduli — 1st construction (1965) (0)
Complex Algebraic Curves: Algebraic properties (1992) (0)
A multiplicative analogue of complex symplectic implosion (2015) (0)
Characteristic p and the Weil conjectures (2006) (0)
Additive Combinatorics (2006) (0)
The definition of intersection homology (2006) (0)
Complex Algebraic Curves: Topological properties (1992) (0)
Complex Algebraic Curves: Introduction and background (1992) (0)
Complex Algebraic Curves: Foundations (1992) (0)
The moment map (1994) (0)
Sheaf-theoretic intersection homology (2006) (0)
A G ] 3 0 Ja n 20 08 Quotients by non-reductive algebraic group actions (2009) (0)
Complex Algebraic Curves: Topology (1992) (0)
Dedicated to the memory of Friedrich Hirzebruch (2015) (0)
Moduli Spaces: An Introduction (2006) (0)
D-Modules and the Riemann—Hilbert correspondence (2006) (0)
Hyperkähler Implosion and Nahm’s Equations (2015) (0)
Surjectivity of the hyperk\"ahler Kirwan map (2014) (0)

This paper list is powered by the following services:

Other Resources About Frances Kirwan

What Schools Are Affiliated With Frances Kirwan?

Frances Kirwan is affiliated with the following schools:

Frances Kirwan's Academic­Influence.com Rankings

Frances Kirwan's Degrees

Why Is Frances Kirwan Influential?

Frances Kirwan's Published Works

Published Works

Other Resources About Frances Kirwan

What Schools Are Affiliated With Frances Kirwan?

Image Attributions

Frances Kirwan's AcademicInfluence.com Rankings