C. Simpson

发表

FORMALIZED PROOF, COMPUTATION, AND THE CONSTRUCTION PROBLEM IN ALGEBRAIC GEOMETRY

C. Simpson, 2004, math/0410224.

Set-theoretical mathematics in Coq

C. Simpson, 2004, math/0402336.

Homotopy Theory of Higher Categories: From Segal Categories to n-Categories and Beyond

C. Simpson, 2011 .

Katz's middle convolution algorithm

C. Simpson, 2006, math/0610526.

Moduli of representations of the fundamental group of a smooth projective variety. II

C. Simpson, 1994 .

Geometricity of the Hodge filtration on the $\infty$-stack of perfect complexes over $X_{DR}$

C. Simpson, 2005, math/0510269.

Obstructed bundles of rank two on a quintic surface

C. Simpson, N. Mestrano, 2009, 0909.1693.

Mixed twistor structures

C. Simpson, 1997, alg-geom/9705006.

Moduli of sheaves

C. Simpson, N. Mestrano, 2016 .

Asymptotics for general connections at infinity

C. Simpson, 2003, math/0311531.

Iterated destabilizing modifications for vector bundles with connection

C. Simpson, 2008, 0812.3472.

The Chern character of a parabolic bundle, and a parabolic Reznikov theorem in the case of finite order at infinity

C. Simpson, J. Iyer, 2006, math/0612144.

The Chern Character of a Parabolic Bundle, and a Parabolic Corollary of Reznikov’s Theorem

C. Simpson, J. Iyer, 2007 .

An explicit view of the Hitchin fibration on the Betti side for P1 minus 5 points

C. Simpson, 2017 .

Computer Theorem Proving in Mathematics

C. Simpson, 2003, math/0311260.

FORMALIZED PROOF, COMPUTATION, AND THE CONSTRUCTION PROBLEM IN ALGEBRAIC GEOMETRY

C. Simpson, 2004, math/0410224.

Set-theoretical mathematics in Coq

C. Simpson, 2004, math/0402336.

Algebraic (geometric) $n$-stacks

C. Simpson, 1996, alg-geom/9609014.

Descente pour les n-champs (Descent for n-stacks)

C. Simpson, A. Hirschowitz, 1998, math/9807049.

A relation between the parabolic Chern characters of the de Rham bundles

C. Simpson, J. Iyer, 2006, math/0603677.

Homotopy types of strict 3-groupoids

C. Simpson, 1998, math/9810059.

Secondary Kodaira-Spencer classes and nonabelian Dolbeault cohomology

C. Simpson, 1997, alg-geom/9712020.

Limits in $n$-categories

C. Simpson, 1997, alg-geom/9708010.

A closed model structure for $n$-categories, internal $Hom$, $n$-stacks and generalized Seifert-Van Kampen

C. Simpson, 1997, alg-geom/9704006.

Explaining Gabriel–Zisman Localization to the Computer

C. Simpson, 2005, Journal of Automated Reasoning.

Geometricity of the Hodge filtration on the $\infty$-stack of perfect complexes over $X_{DR}$

C. Simpson, 2005, math/0510269.

Calculating maps between n-categories

C. Simpson, 2000, math/0009107.

Algebraic aspects of higher nonabelian Hodge theory

C. Simpson, 1999, math/9902067.

Effective generalized Seifert-Van Kampen: how to calculate $\Omega X$

C. Simpson, 1997, q-alg/9710011.

Effective generalized Seifert-Van Kampen: how to calculate $ΩX$

C. Simpson, 1997 .

Direct Images in Non Abelian Hodge Theory

R. Donagi, C. Simpson, T. Pantev, 2016, 1612.06388.

Reduction for 𝑆𝐿(3) pre-buildings

P. Pandit, C. Simpson, L. Katzarkov, 2016, Proceedings of Symposia in Pure Mathematics.

Harmonic Maps to Buildings and Singular Perturbation Theory

P. Pandit, C. Simpson, L. Katzarkov, 2015, Communications in Mathematical Physics.

Mixed twistor structures

C. Simpson, 1997, alg-geom/9705006.

Foliations on the moduli space of rank two connections on the projective line minus four points

C. Simpson, F. Loray, Masahiko Saito, 2010, 1012.3612.

Regulators of canonical extensions are torsion: the smooth divisor case

C. Simpson, J. Iyer, 2007 .

The Chern character of a parabolic bundle, and a parabolic Reznikov theorem in the case of finite order at infinity

C. Simpson, J. Iyer, 2006, math/0612144.

Katz's middle convolution algorithm

C. Simpson, 2006, math/0610526.

Rank 3 rigid representations of projective fundamental groups

C. Simpson, A. Langer, 2016, Compositio Mathematica.

Irreducibility of the moduli space of stable vector bundles of rank two and odd degree on a very general quintic surface

C. Simpson, N. Mestrano, 2013, 1302.3736.

Seminatural bundles of rank two, degree one and $c_2=10$ on a quintic surface

C. Simpson, N. Mestrano, 2012, 1202.2546.

Algebraic cycles from a computational point of view

Carlos Simpson, C. Simpson, 2008, Theor. Comput. Sci..

Moduli of representations of the fundamental group of a smooth projective variety I

Carlos Simpson, C. Simpson, 1994 .

A lower bound for the size of monodromy of systems of ordinary differential equations

C. Simpson, 1991 .

The dual boundary complex of the $SL_2$ character variety of a punctured sphere

C. Simpson, 2015, 1504.05395.

Harmonic Maps to Buildings and Singular Perturbation Theory

P. Pandit, C. Simpson, L. Katzarkov, 2013, 1311.7101.

The Hodge filtration on nonabelian cohomology

C. Simpson, 1996, alg-geom/9604005.

Higgs bundles and local systems

C. Simpson, 1992 .

Harmonic bundles on noncompact curves

Carlos Simpson, C. Simpson, 1990 .

GEOMETRICITY OF THE HODGE FILTRATION ON THE ∞-STACK OF PERFECT COMPLEXES OVER X

C. Simpson, 2005 .

Nonabelian mixed Hodge structures

C. Simpson, L. Katzarkov, T. Pantev, 2000, math/0006213.

Spectral networks and stability conditions for Fukaya categories with coefficients

Carlos Simpson, Ludmil Katzarkov, Fabian Haiden, 2021, 2112.13623.

Homotopy Theory of Higher Categories: THE MODEL STRUCTURE

Carlos T. Simpson, C. Simpson, 2010, 1001.4071.

A Giraud-type characterization of the simplicial categories associated to closed model categories as $\infty$-pretopoi

C. Simpson, 1999, math/9903167.

Local Systems on Proper Algebraic V -manifolds

C. Simpson, 2010, 1010.3363.

$B$-structures on $G$-bundles and local triviality

V. Drinfeld, C. Simpson, 1995 .

Subspaces of moduli spaces of rank one local systems

C. Simpson, 1993 .

Some properties of the theory of n-categories

C. Simpson, 2001, math/0110273.

The topological realization of a simplicial presheaf

C. Simpson, 1996, q-alg/9609004.

Flexible sheaves

C. Simpson, 1996, q-alg/9608025.

On the classification of rank-two representations of quasiprojective fundamental groups

C. Simpson, K. Corlette, 2007, Compositio Mathematica.

Se p 19 96 Algebraic ( geometric ) n-stacks

C. Simpson, 2008 .

On the Breen-Baez-Dolan stabilization hypothesis for Tamsamani's weak n-categories

C. Simpson, 1998, math/9810058.

A relative notion of algebraic Lie group and applications to $n$-stacks

C. Simpson, 1996, alg-geom/9607002.

The Construction Problem in Kähler Geometry

C. Simpson, 2004 .

Lefschetz theorems for the integral leaves of a holomorphic one - form

C. Simpson, 1993 .

The ubiquity of variations of Hodge structure

C. Simpson, 1991 .

Nonabelian Hodge Theory

C. Simpson, 2010 .

Transcendental aspects of the Riemann-Hilbert correspondence

C. Simpson, 1990 .

Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization

C. Simpson, 1988 .

Twistor space for local systems on an open curve

C. Simpson, 2023, 2303.13947.

Computer theorem proving in math

Carlos Simpson, C. Simpson, 2003 .

A report on "Regulators of canonical extension are torsion; the smooth divisor case"

C. Simpson, J. Iyer, 2007, 0707.0372.

A weight two phenomenon for the moduli of rank one local systems on open varieties

C. Simpson, 2007, 0710.2800.

Some families of local systems over smooth projective varieties

C. Simpson, 1993 .

HIGGS BUNDLES AND LOCAL SYSTEMS ( 1 ) by

C. Simpson, DE L’I.H.É.S, G. Simpson, 2017 .

The Geometric Langlands conjecture and non-abelian Hodge theory

R. Donagi, C. Simpson, 2010 .

DE RHAM’S THEOREM FOR ∞-STACKS

C. Simpson, 2004 .

Constructing Buildings and Harmonic Maps

P. Pandit, C. Simpson, L. Katzarkov, 2015, 1503.00989.

The twistor geometry of parabolic structures in rank two

Carlos Simpson, C. Simpson, 2021, Proceedings - Mathematical Sciences.

Shimura Varieties of Weight Two Hodge Structures

J. Carlson, C. Simpson, 1987 .

Variations of mixed Hodge structure attached to the deformation theory of a complex variation of Hodge structures

P. Eyssidieux, C. Simpson, 2009, 0902.2626.

An Explicit View of the Hitchin Fibration on the Betti Side for ℙ1 minus Five Points

C. Simpson, 2018, Geometry and Physics: Volume II.

Asymptotics for general connections at infinity

C. Simpson, 2003, math/0311531.

Density of monodromy actions on non-abelian cohomology

C. Simpson, L. Katzarkov, T. Pantev, 2001 .

Simple semigroups in finite categories

C. Simpson, Najwa Ghannoum, 2022, 2210.00505.

Asymptotic Behavior of Monodromy: Singularly Perturbed Differential Equations on a Riemann Surface

C. Simpson, 1992 .

Asymptotic behavior of monodromy

C. Simpson, 1991 .

Approximate categorical structures

Carlos Simpson, Abdelkrim Aliouche, A. Aliouche, 2015, 1511.01532.

Fixed points and lines in 2-metric spaces

A. Aliouche, C. Simpson, 2010, 1003.5744.

Yang-Mills theory and uniformization

C. Simpson, 1987 .