Carlos Simpson

Q: What Schools Are Affiliated With Carlos Simpson

Carlos Simpson is affiliated with the following schools: Princeton University, Stanford University, Harvard University

Carlos Simpson's AcademicInfluence.com Rankings

Carlos Simpson

Mathematics

#483

World Rank

#951

Historical Rank

#215

USA Rank

Algebra

#92

World Rank

#152

Historical Rank

#27

USA Rank

Group Theory

#127

World Rank

#155

Historical Rank

#27

USA Rank

Measure Theory

#2160

World Rank

#2604

Historical Rank

#618

USA Rank

mathematics Degrees

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Mathematics

Carlos Simpson's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University

Why Is Carlos Simpson Influential?

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According to Wikipedia, Carlos Tschudi Simpson is an American mathematician, specializing in algebraic geometry. Simpson received his Ph.D. in 1987 from Harvard University, where he was supervised by Wilfried Schmid; his thesis was titled Systems of Hodge Bundles and Uniformization. He became a professor at the University of Toulouse III and then at the University of Nice. He is research director of the Centre national de la recherche scientifique.

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Carlos Simpson'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

Higgs bundles and local systems (1992) (1147)
Moduli of representations of the fundamental group of a smooth projective variety I (1994) (1012)
Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization (1988) (742)
Harmonic bundles on noncompact curves (1990) (452)
Moduli of representations of the fundamental group of a smooth projective variety. II (1994) (257)
Subspaces of moduli spaces of rank one local systems (1993) (205)
The Hodge filtration on nonabelian cohomology (1996) (194)
$B$-structures on $G$-bundles and local triviality (1995) (129)
Homotopy theory of higher categories (2010) (127)
Descente pour les n-champs (Descent for n-stacks) (1998) (78)
Mixed twistor structures (1997) (77)
Nonabelian Hodge Theory (2010) (77)
Homotopy types of strict 3-groupoids (1998) (68)
A closed model structure for $n$-categories, internal $Hom$, $n$-stacks and generalized Seifert-Van Kampen (1997) (65)
Algebraic (geometric) $n$-stacks (1996) (64)
On the classification of rank-two representations of quasiprojective fundamental groups (2007) (59)
A relation between the parabolic Chern characters of the de Rham bundles (2006) (51)
Local Systems on Proper Algebraic V -manifolds (2010) (49)
Harmonic Maps to Buildings and Singular Perturbation Theory (2013) (47)
Some families of local systems over smooth projective varieties (1993) (47)
Katz's middle convolution algorithm (2006) (42)
Iterated destabilizing modifications for vector bundles with connection (2008) (38)
Fixed points and lines in 2-metric spaces (2010) (37)
The ubiquity of variations of Hodge structure (1991) (31)
Algebraic aspects of higher nonabelian Hodge theory (1999) (29)
On the Breen-Baez-Dolan stabilization hypothesis for Tamsamani's weak n-categories (1998) (28)
A Giraud-type characterization of the simplicial categories associated to closed model categories as $\infty$-pretopoi (1999) (27)
Homotopy Theory of Higher Categories: From Segal Categories to n-Categories and Beyond (2011) (27)
Lefschetz theorems for the integral leaves of a holomorphic one - form (1993) (27)
Mathematical Quotients and Quotient Types in Coq (2002) (27)
The dual boundary complex of the $SL_2$ character variety of a punctured sphere (2015) (26)
A weight two phenomenon for the moduli of rank one local systems on open varieties (2007) (26)
Transcendental aspects of the Riemann-Hilbert correspondence (1990) (25)
The Construction Problem in Kähler Geometry (2004) (24)
Foliations on the moduli space of rank two connections on the projective line minus four points (2010) (21)
Limits in $n$-categories (1997) (20)
The topological realization of a simplicial presheaf (1996) (20)
Obstructed bundles of rank two on a quintic surface (2009) (18)
GEOMETRICITY OF THE HODGE FILTRATION ON THE ∞-STACK OF PERFECT COMPLEXES OVER X (2005) (17)
The Chern Character of a Parabolic Bundle, and a Parabolic Corollary of Reznikov’s Theorem (2007) (16)
DE RHAM’S THEOREM FOR ∞-STACKS (2004) (15)
Variations of mixed Hodge structure attached to the deformation theory of a complex variation of Hodge structures (2009) (15)
Geometricity of the Hodge filtration on the $\infty$-stack of perfect complexes over $X_{DR}$ (2005) (14)
Shimura Varieties of Weight Two Hodge Structures (1987) (14)
Computer Theorem Proving in Mathematics (2003) (12)
Rank 3 rigid representations of projective fundamental groups (2016) (11)
Irreducibility of the moduli space of stable vector bundles of rank two and odd degree on a very general quintic surface (2013) (10)
Nonabelian mixed Hodge structures (2000) (10)
Asymptotic behavior of monodromy (1991) (10)
Regulators of canonical extensions are torsion: the smooth divisor case (2007) (9)
Some properties of the theory of n-categories (2001) (9)
Constructing Buildings and Harmonic Maps (2015) (9)
A relative notion of algebraic Lie group and applications to $n$-stacks (1996) (8)
Effective generalized Seifert-Van Kampen: how to calculate $ΩX$ (1997) (8)
Flexible sheaves (1996) (7)
Explaining Gabriel–Zisman Localization to the Computer (2005) (7)
A lower bound for the size of monodromy of systems of ordinary differential equations (1991) (7)
Computer theorem proving in math (2003) (7)
Secondary Kodaira-Spencer classes and nonabelian Dolbeault cohomology (1997) (7)
Asymptotics for general connections at infinity (2003) (6)
Calculating maps between n-categories (2000) (6)
Algebraic cycles from a computational point of view (2008) (6)
An explicit view of the Hitchin fibration on the Betti side for P1 minus 5 points (2017) (6)
Set-theoretical mathematics in Coq (2004) (6)
Seminatural bundles of rank two, degree one and $c_2=10$ on a quintic surface (2012) (6)
Yang-Mills theory and uniformization (1987) (6)
The Chern character of a parabolic bundle, and a parabolic Reznikov theorem in the case of finite order at infinity (2006) (5)
Direct Images in Non Abelian Hodge Theory (2016) (5)
Stacks and categories in geometry, topology, and algebra : CATS4 Conference Higher Categorical Structures and their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, July 2-7, 2012, CIRM, Luminy, France (2015) (5)
Homotopy Theory of Higher Categories: THE MODEL STRUCTURE (2011) (4)
Asymptotic Behavior of Monodromy: Singularly Perturbed Differential Equations on a Riemann Surface (1992) (4)
Moduli of sheaves (2016) (3)
Density of monodromy actions on non-abelian cohomology (2001) (3)
The main lemma (2018) (2)
An Explicit View of the Hitchin Fibration on the Betti Side for ℙ1 minus Five Points (2018) (2)
The Geometric Langlands conjecture and non-abelian Hodge theory (2010) (2)
FORMALIZED PROOF, COMPUTATION, AND THE CONSTRUCTION PROBLEM IN ALGEBRAIC GEOMETRY (2004) (2)
The twistor geometry of parabolic structures in rank two (2021) (2)
The Sturm-Liouville problem (1991) (1)
Ordinary differential equations on a Riemann surface (1991) (1)
Common fixtures of several maps on 2-metric spaces (2014) (1)
Approximate categorical structures (2015) (1)
Sizes of cells (1991) (1)
Learning proofs for the classification of nilpotent semigroups (2021) (1)
Files for Gabriel-Zisman localization (2005) (1)
Classification of finite semigroups and categories using computational methods (2020) (1)
Spectral networks and stability conditions for Fukaya categories with coefficients (2021) (1)
Classification of categories with matrices of coefficient 2 and order n (2018) (1)
Homotopy Theory of Higher Categories: Calculus of generators and relations (2011) (1)
A report on "Regulators of canonical extension are torsion; the smooth divisor case" (2007) (0)
THE ABSTRACTS OF THE TALKS 2022 ALGEBRA AND BEYOND A CONFERENCE IN HONOR OF THE MATHEMATICAL CONTRIBUTIONS OF MICHAEL J. LARSEN (2022) (0)
Fundamental elements of n-categories (2011) (0)
Homotopy Theory of Higher Categories: Sequentially free precategories (2011) (0)
Homotopy Theory of Higher Categories: History and motivation (2011) (0)
HIGGS BUNDLES AND LOCAL SYSTEMS ( 1 ) by (2017) (0)
Generators and relations for Segal categories (2011) (0)
Homotopy Theory of Higher Categories: Simplicial approaches (2011) (0)
Reduction for 𝑆𝐿(3) pre-buildings (2016) (0)
Regularity of individual terms (1991) (0)
Homotopy Theory of Higher Categories: Products (2011) (0)
Construction of flows (1991) (0)
Effective generalized Seifert-Van Kampen: how to calculate $\Omega X$ (1997) (0)
Homotopy Theory of Higher Categories: Preface (2011) (0)
Pre-buildings as sheaves on the site of enclosures (2015) (0)
Direct left Bousfield localization (2011) (0)
Se p 19 96 Algebraic ( geometric ) n-stacks (2008) (0)
Moving relative homology chains (1991) (0)
Higher categorical techniques (2011) (0)
Homotopy Theory of Higher Categories: The model category of M -enriched precategories (2011) (0)
Asymptotics for general connexions at infinity (2003) (0)
Weak enrichment over a cartesian model category: an introduction (2011) (0)
Simple semigroups in finite categories (2022) (0)
Tensors and Interpolation (2009) (0)
Bounds on multiplicities (1991) (0)
Moving the cycle of integration (1991) (0)
Harmonic Maps to Buildings and Singular Perturbation Theory (2015) (0)
Limits of weak enriched categories (2011) (0)
Homotopy Theory of Higher Categories: Model categories (2011) (0)
Reflections on $c^2_1= 3c_2$ and other things (2019) (0)
Homotopy Theory of Higher Categories: Intervals (2011) (0)
Algebraic theories in model categories (2011) (0)
Laplace transform, asymptotic expansions, and the method of stationary phase (1991) (0)
Twistor space for local systems on an open curve (2023) (0)
Iterated higher categories (2011) (0)
Homotopy Theory of Higher Categories: Operadic approaches (2011) (0)
Complements and examples (1991) (0)
Homotopy Theory of Higher Categories: Cell complexes in locally presentable categories (2011) (0)
Strict n-categories (2011) (0)

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What Schools Are Affiliated With Carlos Simpson?

Carlos Simpson is affiliated with the following schools:

Carlos Simpson's Academic­Influence.com Rankings

Carlos Simpson's Degrees

Why Is Carlos Simpson Influential?

Carlos Simpson's Published Works

Published Works

Other Resources About Carlos Simpson

What Schools Are Affiliated With Carlos Simpson?

Carlos Simpson's AcademicInfluence.com Rankings