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Simpson, Carlos Tschudi

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Author ID: simpson.carlos-t Recent zbMATH articles by "Simpson, Carlos Tschudi"
Published as: Simpson, C.; Simpson, Carlos; Simpson, Carlos T.; Simpson, K.
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
Documents Indexed: 60 Publications since 1987, including 3 Books

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 1,272 times in 882 Documents Cited by Year
Higgs bundles and local systems. Zbl 0814.32003
Simpson, Carlos T.
284
1992
Moduli of representations of the fundamental group of a smooth projective variety. I. Zbl 0891.14005
Simpson, Carlos T.
218
1994
Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization. Zbl 0669.58008
Simpson, Carlos T.
194
1988
Moduli of representations of the fundamental group of a smooth projective variety. II. Zbl 0891.14006
Simpson, Carlos T.
119
1995
Harmonic bundles on noncompact curves. Zbl 0713.58012
Simpson, Carlos T.
106
1990
Subspaces of moduli spaces of rank one local systems. Zbl 0798.14005
Simpson, Carlos
48
1993
The Hodge filtration on nonabelian cohomology. Zbl 0914.14003
Simpson, Carlos
27
1997
\(B\)-structures on \(G\)-bundles and local triviality. Zbl 0874.14043
Drinfeld, V. G.; Simpson, Carlos
26
1995
On the classification of rank-two representations of quasiprojective fundamental groups. Zbl 1155.58006
Corlette, Kevin; Simpson, Carlos
18
2008
Products of matrices. Zbl 0756.15022
Simpson, Carlos T.
18
1990
Homotopy theory of higher categories. From Segal categories to \(n\)-categories and beyond. Zbl 1232.18001
Simpson, Carlos
17
2012
The minimal resolution of the ideal of a general arrangement of a big number of points in \(\mathbb{P}^ n\). Zbl 0877.14035
Hirschowitz, André; Simpson, Carlos
16
1996
Nonabelian Hodge theory. Zbl 0765.14005
Simpson, Carlos T.
16
1991
A relation between the parabolic Chern characters of the de Rham bundles. Zbl 1132.14006
Iyer, Jaya N. N.; Simpson, Carlos T.
15
2007
Fixed points and lines in 2-metric spaces. Zbl 1261.54032
Aliouche, Abdelkrim; Simpson, Carlos
14
2012
Iterated destabilizing modifications for vector bundles with connection. Zbl 1215.14037
Simpson, Carlos
10
2010
Harmonic maps to buildings and singular perturbation theory. Zbl 1314.32021
Katzarkov, Ludmil; Noll, Alexander; Pandit, Pranav; Simpson, Carlos
9
2015
Local systems on proper algebraic \(V\)-manifolds. Zbl 1316.14008
Simpson, Carlos
9
2011
Katz’s middle convolution algorithm. Zbl 1176.14002
Simpson, Carlos
8
2009
Geometricity of the Hodge filtration on the \(\infty \)-stack of perfect complexes over \(X_{\text{DR}}\). Zbl 1189.14020
Simpson, Carlos
7
2009
Lefschetz theorems for the integral leaves of a holomorphic one-form. Zbl 0802.58004
Simpson, Carlos
7
1993
The dual boundary complex of the \(SL_2\) character variety of a punctured sphere. Zbl 1352.14009
Simpson, Carlos
6
2016
A weight two phenomenon for the moduli of rank one local systems on open varieties. Zbl 1158.14016
Simpson, Carlos
5
2008
The construction problem in Kähler geometry. Zbl 1064.32013
Simpson, Carlos
5
2004
Algebraic aspects of higher non-Abelian Hodge theory. Zbl 1051.14008
Simpson, Carlos
5
2002
The ubiquity of variations of Hodge structure. Zbl 0770.14014
Simpson, Carlos T.
5
1991
Yang-Mills theory and uniformization. Zbl 0635.32017
Simpson, Carlos T.
5
1987
Variations of mixed Hodge structure attached to the deformation theory of a complex variation of Hodge structures. Zbl 1246.14018
Eyssidieux, Philippe; Simpson, Carlos
4
2011
Computer theorem proving in mathematics. Zbl 1067.03020
Simpson, Carlos
4
2004
Some families of local systems over smooth projective varieties. Zbl 0813.14014
Simpson, Carlos
4
1993
Asymptotic behavior of monodromy. Singularly perturbed differential equations on a Riemann surface. Zbl 0758.34046
Simpson, Carlos
4
1991
Transcendental aspects of the Riemann-Hilbert correspondence. Zbl 0727.34007
Simpson, Carlos T.
4
1990
Shimura varieties of weight two Hodge structures. Zbl 0621.14009
Carlson, James A.; Simpson, Carlos
4
1987
Descent. Zbl 1303.14013
Simpson, Carlos T.
3
2014
Obstructed bundles of rank two on a quintic surface. Zbl 1239.14003
Mestrano, Nicole; Simpson, Carlos
3
2011
The Chern character of a parabolic bundle, and a parabolic corollary of Reznikov’s theorem. Zbl 1152.14008
Iyer, Jaya N.; Simpson, Carlos T.
3
2008
Mathematical quotients and quotient types in Coq. Zbl 1023.03534
Chicli, Laurent; Pottier, Loïc; Simpson, Carlos
3
2003
Homotopy over the complex numbers and generalized de Rham cohomology. Zbl 0858.18008
Simpson, Carlos
3
1996
Moduli of sheaves. Zbl 1369.14019
Mestrano, Nicole; Simpson, Carlos
2
2016
An explicit view of the Hitchin fibration on the Betti side for \(\mathbb{P}^1\) minus five points. Zbl 1418.14003
Simpson, Carlos T.
1
2018
Rank 3 rigid representations of projective fundamental groups. Zbl 1409.14039
Langer, Adrian; Simpson, Carlos
1
2018
Irreducibility of the moduli space of stable vector bundles of rank two and odd degree on a very general quintic surface. Zbl 1453.14033
Mestrano, Nicole; Simpson, Carlos
1
2018
Approximate categorical structures. Zbl 1408.18001
Aliouche, Abdelkrim; Simpson, Carlos
1
2017
Constructing buildings and harmonic maps. Zbl 1391.32017
Katzarkov, Ludmil; Noll, Alexander; Pandit, Pranav; Simpson, Carlos
1
2017
Classification of matrices associated to finite categories. Zbl 1304.18005
Allouch, Samer; Simpson, Carlos
1
2014
Common fixtures of several maps on \(2\)-metric spaces. Zbl 1304.54065
Aliouche, Abdelkrim; Simpson, Carlos
1
2014
Seminatural bundles of rank two, degree one, and \(c_{2}=10\) on a quintic surface. Zbl 1274.14009
Mestrano, Nicole; Simpson, Carlos
1
2013
Algebraic cycles from a computational point of view. Zbl 1134.14005
Simpson, Carlos
1
2008
Explaining Gabriel-Zisman localization to the computer. Zbl 1107.68102
Simpson, Carlos
1
2006
Asymptotics for general connections at infinity. Zbl 1091.34032
Simpson, Carlos
1
2004
Density of monodromy actions on non-abelian cohomology. Zbl 1098.14012
Katzarkov, Ludmil; Pantev, Tony; Simpson, Carlos
1
2003
Generalizations of the Anderson - May model. Zbl 0790.92020
Mickens, R. E.; Pleasant, J. C.; Simpson, K.
1
1993
A lower bound for the size of monodromy of systems of ordinary differential equations. Zbl 0813.32020
Simpson, Carlos T.
1
1991
An explicit view of the Hitchin fibration on the Betti side for \(\mathbb{P}^1\) minus five points. Zbl 1418.14003
Simpson, Carlos T.
1
2018
Rank 3 rigid representations of projective fundamental groups. Zbl 1409.14039
Langer, Adrian; Simpson, Carlos
1
2018
Irreducibility of the moduli space of stable vector bundles of rank two and odd degree on a very general quintic surface. Zbl 1453.14033
Mestrano, Nicole; Simpson, Carlos
1
2018
Approximate categorical structures. Zbl 1408.18001
Aliouche, Abdelkrim; Simpson, Carlos
1
2017
Constructing buildings and harmonic maps. Zbl 1391.32017
Katzarkov, Ludmil; Noll, Alexander; Pandit, Pranav; Simpson, Carlos
1
2017
The dual boundary complex of the \(SL_2\) character variety of a punctured sphere. Zbl 1352.14009
Simpson, Carlos
6
2016
Moduli of sheaves. Zbl 1369.14019
Mestrano, Nicole; Simpson, Carlos
2
2016
Harmonic maps to buildings and singular perturbation theory. Zbl 1314.32021
Katzarkov, Ludmil; Noll, Alexander; Pandit, Pranav; Simpson, Carlos
9
2015
Descent. Zbl 1303.14013
Simpson, Carlos T.
3
2014
Classification of matrices associated to finite categories. Zbl 1304.18005
Allouch, Samer; Simpson, Carlos
1
2014
Common fixtures of several maps on \(2\)-metric spaces. Zbl 1304.54065
Aliouche, Abdelkrim; Simpson, Carlos
1
2014
Seminatural bundles of rank two, degree one, and \(c_{2}=10\) on a quintic surface. Zbl 1274.14009
Mestrano, Nicole; Simpson, Carlos
1
2013
Homotopy theory of higher categories. From Segal categories to \(n\)-categories and beyond. Zbl 1232.18001
Simpson, Carlos
17
2012
Fixed points and lines in 2-metric spaces. Zbl 1261.54032
Aliouche, Abdelkrim; Simpson, Carlos
14
2012
Local systems on proper algebraic \(V\)-manifolds. Zbl 1316.14008
Simpson, Carlos
9
2011
Variations of mixed Hodge structure attached to the deformation theory of a complex variation of Hodge structures. Zbl 1246.14018
Eyssidieux, Philippe; Simpson, Carlos
4
2011
Obstructed bundles of rank two on a quintic surface. Zbl 1239.14003
Mestrano, Nicole; Simpson, Carlos
3
2011
Iterated destabilizing modifications for vector bundles with connection. Zbl 1215.14037
Simpson, Carlos
10
2010
Katz’s middle convolution algorithm. Zbl 1176.14002
Simpson, Carlos
8
2009
Geometricity of the Hodge filtration on the \(\infty \)-stack of perfect complexes over \(X_{\text{DR}}\). Zbl 1189.14020
Simpson, Carlos
7
2009
On the classification of rank-two representations of quasiprojective fundamental groups. Zbl 1155.58006
Corlette, Kevin; Simpson, Carlos
18
2008
A weight two phenomenon for the moduli of rank one local systems on open varieties. Zbl 1158.14016
Simpson, Carlos
5
2008
The Chern character of a parabolic bundle, and a parabolic corollary of Reznikov’s theorem. Zbl 1152.14008
Iyer, Jaya N.; Simpson, Carlos T.
3
2008
Algebraic cycles from a computational point of view. Zbl 1134.14005
Simpson, Carlos
1
2008
A relation between the parabolic Chern characters of the de Rham bundles. Zbl 1132.14006
Iyer, Jaya N. N.; Simpson, Carlos T.
15
2007
Explaining Gabriel-Zisman localization to the computer. Zbl 1107.68102
Simpson, Carlos
1
2006
The construction problem in Kähler geometry. Zbl 1064.32013
Simpson, Carlos
5
2004
Computer theorem proving in mathematics. Zbl 1067.03020
Simpson, Carlos
4
2004
Asymptotics for general connections at infinity. Zbl 1091.34032
Simpson, Carlos
1
2004
Mathematical quotients and quotient types in Coq. Zbl 1023.03534
Chicli, Laurent; Pottier, Loïc; Simpson, Carlos
3
2003
Density of monodromy actions on non-abelian cohomology. Zbl 1098.14012
Katzarkov, Ludmil; Pantev, Tony; Simpson, Carlos
1
2003
Algebraic aspects of higher non-Abelian Hodge theory. Zbl 1051.14008
Simpson, Carlos
5
2002
The Hodge filtration on nonabelian cohomology. Zbl 0914.14003
Simpson, Carlos
27
1997
The minimal resolution of the ideal of a general arrangement of a big number of points in \(\mathbb{P}^ n\). Zbl 0877.14035
Hirschowitz, André; Simpson, Carlos
16
1996
Homotopy over the complex numbers and generalized de Rham cohomology. Zbl 0858.18008
Simpson, Carlos
3
1996
Moduli of representations of the fundamental group of a smooth projective variety. II. Zbl 0891.14006
Simpson, Carlos T.
119
1995
\(B\)-structures on \(G\)-bundles and local triviality. Zbl 0874.14043
Drinfeld, V. G.; Simpson, Carlos
26
1995
Moduli of representations of the fundamental group of a smooth projective variety. I. Zbl 0891.14005
Simpson, Carlos T.
218
1994
Subspaces of moduli spaces of rank one local systems. Zbl 0798.14005
Simpson, Carlos
48
1993
Lefschetz theorems for the integral leaves of a holomorphic one-form. Zbl 0802.58004
Simpson, Carlos
7
1993
Some families of local systems over smooth projective varieties. Zbl 0813.14014
Simpson, Carlos
4
1993
Generalizations of the Anderson - May model. Zbl 0790.92020
Mickens, R. E.; Pleasant, J. C.; Simpson, K.
1
1993
Higgs bundles and local systems. Zbl 0814.32003
Simpson, Carlos T.
284
1992
Nonabelian Hodge theory. Zbl 0765.14005
Simpson, Carlos T.
16
1991
The ubiquity of variations of Hodge structure. Zbl 0770.14014
Simpson, Carlos T.
5
1991
Asymptotic behavior of monodromy. Singularly perturbed differential equations on a Riemann surface. Zbl 0758.34046
Simpson, Carlos
4
1991
A lower bound for the size of monodromy of systems of ordinary differential equations. Zbl 0813.32020
Simpson, Carlos T.
1
1991
Harmonic bundles on noncompact curves. Zbl 0713.58012
Simpson, Carlos T.
106
1990
Products of matrices. Zbl 0756.15022
Simpson, Carlos T.
18
1990
Transcendental aspects of the Riemann-Hilbert correspondence. Zbl 0727.34007
Simpson, Carlos T.
4
1990
Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization. Zbl 0669.58008
Simpson, Carlos T.
194
1988
Yang-Mills theory and uniformization. Zbl 0635.32017
Simpson, Carlos T.
5
1987
Shimura varieties of weight two Hodge structures. Zbl 0621.14009
Carlson, James A.; Simpson, Carlos
4
1987
all top 5

Cited by 776 Authors

79 Biswas, Indranil
21 García-Prada, Oscar
18 Simpson, Carlos Tschudi
17 Zuo, Kang
16 Zhang, Xi
14 Gómez, Tomás L.
13 Bruzzo, Ugo
11 Arango Florentino, Carlos Armindo
10 Schaposnik, Laura P.
9 Gothen, Peter B.
9 Katzarkov, Ludmil
9 Li, Jiayu
9 Logares, Marina
9 Mochizuki, Takuro
8 Collier, Brian
7 Bhosle, Usha N.
7 Drezet, Jean-Marc
7 Oliveira, André G.
7 Graña Otero, Beatriz
7 Lawton, Sean
7 Markushevich, Dimitri Genrikhovich
7 Wentworth, Richard A.
7 Zhang, Chuanjing
6 Ballico, Edoardo
6 Baraglia, David
6 Biquard, Olivier
6 Boalch, Philip P.
6 Bradlow, Steven B.
6 Cardona, Sergio Andres Holguin
6 Carlson, James A.
6 Hausel, Tamás
6 Hurtubise, Jacques C.
6 Loray, Frank
6 Rayan, Steven
6 Schnell, Christian
6 Sheng, Mao
6 Suciu, Alexander I.
6 Viviani, Filippo
6 Wilkin, Graeme
5 Budur, Nero
5 Franco, Emilio
5 Kass, Jesse Leo
5 Klingler, Bruno
5 Langer, Adrian
5 Macrì, Emanuele
5 Migliore, Juan Carlos
5 Muñoz Velázquez, Vicente
5 Nguyen Van Dung
5 Nitsure, Nitin
5 Papadima, Ștefan
5 Peternell, Thomas Martin
5 Popa, Mihnea
5 Sevenheck, Christian
5 Sols, Ignacio
5 Szabo, Szilard
5 Tikhomirov, Alexander Sergeevich
5 Toën, Bertrand
5 Yoshioka, Kōta
4 Álvarez-Cónsul, Luis
4 Balaji, Vikraman
4 Campana, Frédéric
4 Caporaso, Lucia
4 Dimca, Alexandru
4 Esteves, Eduardo
4 Fredrickson, Laura
4 Greb, Daniel
4 Gurjar, Sudarshan Rajendra
4 Hacon, Christopher Derek
4 Hernández Ruipérez, Daniel
4 Hitchin, Nigel James
4 Huh, Sukmoon
4 Inaba, Michi-aki
4 Jost, Jürgen
4 Kapovich, Michael
4 Kebekus, Stefan
4 Komyo, Arata
4 Koziarz, Vincent
4 Li, Qiongling
4 Maubon, Julien
4 Melo, Margarida
4 Mirò-Roig, Rosa Maria
4 Pantev, Tony G.
4 Parameswaran, A. J.
4 Pridham, Jonathan Paul
4 Sabbah, Claude
4 Schäfer, Lars
4 Subramanian, Swaminathan
4 Toledo, Domingo
4 Verbitsky, Misha
4 Vezzosi, Gabriele
4 Wong, Michael Lennox
4 Yang, Yi-Hu
4 Zhang, Pan
3 Amrutiya, Sanjaykumar Hansraj
3 Arapura, Donu
3 Bonelli, Giulio
3 Cecotti, Sergio
3 Chung, Kiryong
3 Colombo, Elisabetta
3 Crawley-Boevey, William
...and 676 more Authors
all top 5

Cited in 142 Serials

56 Advances in Mathematics
48 Journal of Geometry and Physics
41 International Journal of Mathematics
32 Geometriae Dedicata
30 Transactions of the American Mathematical Society
28 Duke Mathematical Journal
28 Inventiones Mathematicae
22 Communications in Mathematical Physics
22 Annales de l’Institut Fourier
22 Mathematische Annalen
22 Journal of Algebraic Geometry
18 Journal für die Reine und Angewandte Mathematik
17 Compositio Mathematica
17 Journal of Algebra
17 Journal of Pure and Applied Algebra
17 Mathematische Zeitschrift
16 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
14 Geometry & Topology
12 Manuscripta Mathematica
12 Bulletin des Sciences Mathématiques
11 Annals of Global Analysis and Geometry
11 Selecta Mathematica. New Series
11 Journal of High Energy Physics
10 Publications Mathématiques
9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
9 Differential Geometry and its Applications
9 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Topology and its Applications
8 Journal of the American Mathematical Society
8 Science China. Mathematics
7 Communications in Algebra
7 Journal of Mathematical Physics
7 Letters in Mathematical Physics
7 Proceedings of the American Mathematical Society
7 Central European Journal of Mathematics
6 Geometric and Functional Analysis. GAFA
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Annals of Mathematics. Second Series
5 Journal of the European Mathematical Society (JEMS)
5 Communications in Contemporary Mathematics
5 Journal of the Institute of Mathematics of Jussieu
5 Fixed Point Theory and Applications
5 European Journal of Mathematics
4 Nuclear Physics. B
4 Illinois Journal of Mathematics
4 Mathematische Nachrichten
4 Michigan Mathematical Journal
4 Nagoya Mathematical Journal
4 Journal of Automated Reasoning
4 Forum Mathematicum
4 The Journal of Geometric Analysis
4 Calculus of Variations and Partial Differential Equations
4 Documenta Mathematica
4 Transformation Groups
4 Revista Matemática Complutense
4 Acta Mathematica Sinica. English Series
4 Algebraic & Geometric Topology
4 Kyoto Journal of Mathematics
4 Complex Manifolds
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Beiträge zur Algebra und Geometrie
3 Collectanea Mathematica
3 Memoirs of the American Mathematical Society
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Tohoku Mathematical Journal. Second Series
3 Linear Algebra and its Applications
3 Bulletin of the American Mathematical Society. New Series
3 Theory and Applications of Categories
3 Advances in Geometry
3 International Journal of Geometric Methods in Modern Physics
3 Communications in Mathematics and Statistics
3 Research in the Mathematical Sciences
3 Journal de l’École Polytechnique – Mathématiques
2 Indian Journal of Pure & Applied Mathematics
2 Journal of Mathematical Analysis and Applications
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Bulletin de la Société Mathématique de France
2 Journal of Differential Geometry
2 Journal of Functional Analysis
2 Journal of the Mathematical Society of Japan
2 Pacific Journal of Mathematics
2 Proceedings of the London Mathematical Society. Third Series
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Rendiconti del Seminario Matematico della Università di Padova
2 Chinese Annals of Mathematics. Series B
2 Science in China. Series A
2 Applied Categorical Structures
2 Applied Mathematics. Series B (English Edition)
2 Journal of Fixed Point Theory and Applications
2 Journal of Topology
2 Japanese Journal of Mathematics. 3rd Series
2 Bulletin of Mathematical Sciences
2 Forum of Mathematics, Sigma
2 EMS Surveys in Mathematical Sciences
1 Israel Journal of Mathematics
1 Mathematical Notes
1 Physics Letters. B
1 Arkiv för Matematik
...and 42 more Serials
all top 5

Cited in 46 Fields

638 Algebraic geometry (14-XX)
216 Differential geometry (53-XX)
211 Several complex variables and analytic spaces (32-XX)
85 Global analysis, analysis on manifolds (58-XX)
58 Category theory; homological algebra (18-XX)
56 Quantum theory (81-XX)
55 Group theory and generalizations (20-XX)
42 Manifolds and cell complexes (57-XX)
38 Associative rings and algebras (16-XX)
34 Algebraic topology (55-XX)
33 Ordinary differential equations (34-XX)
29 Topological groups, Lie groups (22-XX)
25 Functions of a complex variable (30-XX)
21 Commutative algebra (13-XX)
20 Number theory (11-XX)
19 Dynamical systems and ergodic theory (37-XX)
16 General topology (54-XX)
14 Nonassociative rings and algebras (17-XX)
10 Special functions (33-XX)
9 Partial differential equations (35-XX)
8 Computer science (68-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Relativity and gravitational theory (83-XX)
6 Mathematical logic and foundations (03-XX)
5 Combinatorics (05-XX)
5 Operator theory (47-XX)
5 Mechanics of particles and systems (70-XX)
4 \(K\)-theory (19-XX)
4 Convex and discrete geometry (52-XX)
3 Field theory and polynomials (12-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Potential theory (31-XX)
2 Difference and functional equations (39-XX)
2 Functional analysis (46-XX)
2 Geometry (51-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 General algebraic systems (08-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Statistics (62-XX)
1 Optics, electromagnetic theory (78-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Citations by Year

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