Jacques Hurtubise

Jacques Hurtubise 's AcademicInfluence.com Rankings

Jacques Hurtubise

Mathematics

#4418

World Rank

#6279

Historical Rank

Measure Theory

#3929

World Rank

#4630

Historical Rank

mathematics Degrees

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Mathematics

Why Is Jacques Hurtubise Influential?

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According to Wikipedia, Jacques Claude Hurtubise FRSC is a Canadian mathematician who works as a professor of mathematics and chair of the mathematics department at McGill University. His research interests include moduli spaces, integrable systems, and Riemann surfaces. Among other contributions, he is known for proving the Atiyah–Jones conjecture.

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Jacques Hurtubise '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

Darboux coordinates and Liouville-Arnold integration in loop algebras (1992) (156)
On the construction of monopoles for the classical groups (1989) (105)
Dual moment maps into loop algebras (1990) (96)
Isospectral Hamiltonian flows in finite and infinite dimensions (1990) (81)
The topology of instanton moduli spaces, I: The Atiyah-Jones conjecture (1993) (75)
The moduli space of stable vector bundles over a real algebraic curve (2009) (72)
The classification of monopoles for the classical groups (1989) (69)
Integrable systems and algebraic surfaces (1996) (62)
Constraint equations and field equations in supersymmetric N = 3 Yang-Mills theory (1985) (61)
Monopoles and rational maps: A note on a theorem of Donaldson (1985) (49)
Abelian integrals and the reduction method for an integrable Hamiltonian system (1985) (41)
SU(2) monopoles of charge 2 (1983) (41)
The topology of the space of rational maps into generalized flag manifolds (1994) (39)
Calogero–Moser Systems and Hitchin Systems (1999) (38)
Instantons and jumping lines (1986) (35)
Darboux Coordinates on Coadjoint Orbits of Lie Algebras (1996) (33)
Elliptic Sklyanin integrable systems for arbitrary reductive groups (2002) (32)
Gauge theory and symplectic geometry (1997) (31)
The Atiyah-Jones conjecture for ruled surfaces. (1995) (30)
Representations with Weighted Frames and Framed Parabolic Bundles (1999) (30)
Supersymmetric Yang-Mills equations and supertwistors (1989) (29)
Instantons on Hopf surfaces and monopoles on solid tori. (1989) (28)
Singular Hermitian-Einstein monopoles on the product of a circle and a Riemann surface (2008) (27)
The asymptotic Higgs field of a monopole (1985) (21)
Monopoles and their spectral data (1990) (21)
Pseudo-real principal Higgs bundles on compact Kaehler manifolds (2012) (20)
Surfaces and the Sklyanin Bracket (2001) (20)
STABILITY THEOREMS FOR SPACES OF RATIONAL CURVES (1999) (19)
Algebraic Structures and Moduli Spaces: CRM Workshop, July 14–20, 2003, Montréal, Canada (2004) (19)
Multi-Hamiltonian structures for r-matrix systems (2002) (18)
Isomonodromic deformations of logarithmic connections and stability (2015) (17)
Separating Coordinates for the Generalized Hitchin Systems and the Classical r-Matrices (2000) (16)
Complete System of Analytic Invariants for Unfolded Differential Linear Systems with an Rank k Irregular Singularity of Poincaré (2014) (14)
On the geometry of isomonodromic deformations (2008) (14)
Rank 2 Integrable Systems of Prym Varieties (1998) (14)
The Nahm transform for calorons (2007) (14)
Projective connections, double fibrations, and formal neighbourhoods of lines (1992) (13)
Calorons, Nahm’s Equations on S1 and Bundles over $${\mathbb{P}^{1} \times \mathbb{P}^{1}}$$ (2006) (12)
Holomorphic maps of a Riemann surface into a flag manifold (1996) (12)
Isotropic Grassmannians, Plücker and Cartan maps (2020) (11)
Coadjoint Orbits, Spectral Curves and Darboux Coordinates (1991) (11)
A construction of a universal connection (2012) (11)
The Algebraic Geometry of the Kostant–Kirillov Form (1997) (10)
Moduli of Framed Parabolic Sheaves (2005) (10)
Pseudo‐real principal G‐bundles over a real curve (2015) (10)
The geometry of Calogero-Moser systems (2005) (9)
Automorphisms of the Quot schemes associated to compact Riemann surfaces (2012) (8)
Generalized tops and moment maps to loop algebras (1991) (7)
Principal bundles over a real algebraic curve (2011) (7)
Higher dimensional Yang–Mills theories and topological terms rank 2 integrable systems of Prym varieties (1998) (7)
Brauer Groups of Quot Schemes (2012) (6)
Higgs Bundles, Branes and Langlands Duality (2017) (6)
Moduli space for generic unfolded differential linear systems (2015) (6)
Rank one connections on abelian varieties (2011) (6)
Grassmannian framed bundles and generalized parabolic structures (2012) (5)
Twistors and the Geometry of Bundles Over P2(C) (1987) (5)
Monads for instantons and bows (2017) (5)
Moduli spaces and particle spaces (1997) (5)
The intersection of two quadrics in ℙ5(ℂ) as a twistor space (1985) (5)
Spatially Periodic Instantons: Nahm Transform and Moduli (2017) (4)
A generalized Quot scheme and meromorphic vortices (2014) (4)
Spectral Curves for the Triple Reduced Product of Coadjoint Orbits for SU(3) (2017) (4)
Isomonodromic Deformations and Very Stable Vector Bundles of Rank Two (2017) (4)
Universal vector bundle over the reals (2009) (3)
Principal co-Higgs bundles on $\mathbb{P}^1$ (2018) (3)
A canonical connection on bundles on Riemann surfaces and Quillen connection on the theta bundle (2021) (3)
Lagrangian Grassmannians, CKP Hierarchy and Hyperdeterminantal Relations (2022) (3)
Liouville Generating Functions for Isospectral Flow in Loop Algebras (1990) (3)
The geometry of generalised Hitchin systems (2000) (3)
Differential Invariants, Double Fibrations and Painlevé Equations (1992) (3)
Isomonodromic deformations of irregular connections and stability of bundles (2016) (3)
Monopoles on Sasakian Three-folds (2014) (2)
Isomonodromic deformations of logarithmic connections and stable parabolic vector bundles (2018) (2)
Tau functions, infinite Grassmannians, and lattice recurrences (2022) (2)
Poisson maps between character varieties: gluing and capping (2021) (2)
Some algebraic geometry of integrable systems (1997) (2)
Principal co-Higgs bundles on ℙ1 (2020) (2)
Finite-dimensional coadjoint orbits in loop algebras (1994) (2)
The Atiyah-Jones conjecture (1992) (2)
Rank one connections on abelian varieties, II (2011) (1)
Erratum to the paper “Integrable systems and algebraic surfaces,” vol. 83 (1996) pp. 19–50 (1996) (1)
Degenerations of bundle moduli (2021) (1)
Poisson surfaces and algebraically completely integrable systems (2014) (1)
Separation of Variables and the Geometry of Jacobians (2007) (1)
Meromorphic connections, determinant line bundles and the Tyurin parametrization (2019) (1)
Geometry of Calogero-Moser systems (2018) (1)
Branes and Langlands duality (2017) (1)
A symplectic analog of the Quot scheme (2015) (1)
Singular monopoles on a flat circle bundle over a Riemann surface (2008) (0)
Hamiltonian structure of rational isomonodromic deformation systems (2022) (0)
Spatially Periodic Instantons: Nahm Transform and Moduli (2018) (0)
ON THE GEOMETRY OF MODULI SPACES OF ANTI-SELF-DUAL CONNECTIONS (2011) (0)
Monopoles on Sasakian Three-folds (2015) (0)
0 21 10 76 v 1 2 9 N ov 2 00 2 Multi-Hamiltonian structures for r-matrix systems (0)
Instantons and Bows for the Classical Groups (2020) (0)
Real projective structures on a real curve (2012) (0)
Integrable systems associated with Riemann surfaces (1998) (0)
Fe b 20 04 GROUP-VALUED IMPLOSION AND PARABOLIC STRUCTURES (2004) (0)
Isomonodromic deformations of logarithmic connections and stability (2015) (0)
Framed Parabolic sheaves on a trinion (2023) (0)
Real bundles on real varieties (2013) (0)
Isomonodromic Deformations and Very Stable Vector Bundles of Rank Two (2017) (0)
PROJECTIVE STRUCTURES AND HIGGS BUNDLES ON SURFACES (2011) (0)
Higgs Bundles, Branes and Langlands Duality (2019) (0)
Vector bundles and connections on Riemann surfaces with projective structure (2021) (0)
Particles and connections on four-manifolds (1999) (0)

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