Carlos Simpson

46
Documents

Publications

Publications

Spectral networks and stability conditions for Fukaya categories with coefficients

Fabian Haiden , Ludmil Katzarkov , Carlos Simpson

Communications in Mathematical Physics, 2024, 405 (11), pp.264. ⟨10.1007/s00220-024-05138-9⟩

Article dans une revue hal-03563749v1
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Low-dimensional quadratic relative character varieties for the projective line minus three points

Carlos Simpson

Science China Mathematics, 2024, ⟨10.1007/s11425-024-2330-8⟩

Article dans une revue hal-04705055v1

Twistor space for local systems on an open curve

Carlos Simpson

International Journal of Mathematics, 2023, 35 (09), ⟨10.1142/S0129167X24410131⟩

Article dans une revue hal-04288750v1
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The twistor geometry of parabolic structures in rank two

Carlos Simpson

Proceedings Mathematical Sciences, 2022, Special Issue in Memory of Professor C S Seshadri, 132 (2), pp.Article 54. ⟨10.1007/s12044-022-00696-1⟩

Article dans une revue hal-03563729v1

Reflections on $c^2_1= 3c_2$ and other things

Carlos Simpson

Notices of the International Congress of Chinese Mathematicians, 2019, 7 (1), pp.94-96. ⟨10.4310/ICCM.2019.v7.n1.a31⟩

Article dans une revue hal-02392386v1

Rank 3 rigid representations of projective fundamental groups

Adrian Langer , Carlos T. Simpson

Compositio Mathematica, 2018, 154 (7), pp.1534-1570. ⟨10.1112/S0010437X18007182⟩

Article dans une revue hal-01335367v1

Classification of categories with matrices of coefficient 2 and order n

Samer Allouch , Carlos Simpson

Communications in Algebra, 2018, 46 (7), pp.3079-3091. ⟨10.1080/00927872.2017.1404081⟩

Article dans une revue hal-02392385v1

Approximate categorical structures

Abdelkrim Aliouche , Carlos T. Simpson

Theory and Applications of Categories, 2017, 32 (44), pp.1522-1562

Article dans une revue hal-01335387v1
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Irreducibility of the moduli space of stable vector bundles of rank two and odd degree on a very general quintic surface

Nicole Mestrano , Carlos T. Simpson

Pacific Journal of Mathematics, 2017, 293 (1), pp.121-172. ⟨10.2140/pjm.2018.293.121⟩

Article dans une revue hal-00788692v4

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

Carlos T. Simpson

Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2016, In honour of Vadim Schechtman’s 60th birthday, 25 (2-3), pp.317-361. ⟨10.5802/afst.1496⟩

Article dans une revue hal-01335381v1

Classification des matrices associées aux catégories finies

Samer Allouch , Carlos Simpson

Cahiers de topologie et géométrie différentielle catégoriques, 2015, LV, pp.205-240

Article dans une revue hal-01292875v1

Harmonic maps to buildings and singular perturbation theory

Ludmil Katzarkov , Alexander Noll , Pandit Pranav , Carlos Simpson

Communications in Mathematical Physics, 2015, 336 (2), pp.853-903. ⟨10.1007/s00220-014-2276-6⟩

Article dans une revue hal-01292879v1

Common fixtures of several maps on 2-metric spaces

Abdelkrim Aliouche , Carlos Simpson

Indian Journal of Mathematics, 2014, Special Volume Dedicated to Professor Billy E. Rhoades, 56 (2), pp.229-262

Article dans une revue hal-01292866v1
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Seminatural bundles of rank two, degree one and $c_2=10$ on a quintic surface

Nicole Mestrano , Carlos T. Simpson

Kyoto Journal of Mathematics, 2013, 53 (1), pp.155-195

Article dans une revue hal-00669217v1
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Fixed points and lines in 2-metric spaces

Abdelkrim Aliouche , Carlos Simpson

Advances in Mathematics, 2012, 229 (1), pp.668-690

Article dans une revue hal-00467238v3
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Obstructed bundles of rank two on a quintic surface

Nicole Mestrano , Carlos Simpson

International Journal of Mathematics, 2011, 22 (6), pp.789-836. ⟨10.1142/S0129167X11007045⟩

Article dans une revue hal-00414445v4

Local systems on proper algebraic V-manifolds

Carlos Simpson

Pure and Applied Mathematics Quarterly, 2011, 7, pp.1675-1760

Article dans une revue hal-00539971v1

Classification of finite semigroups and categories using computational methods

Wesley Fussner , Najwa Ghannoum , Tomás Jakl , Carlos Simpson

5th Conference on Artificial Intelligence and Theorem Proving AITP 2020, Thomas Hales, Cezary Kaliszyk, Ramana Kumar, Stephan Schulz, Josef Urban, Sep 2020, Aussois, France

Communication dans un congrès hal-02972963v1

Constructing Buildings and Harmonic Maps

Ludmil Katzarkov , Alexander Noll , Pranav Pandit , Carlos Simpson

Algèbre, Géométrie et Physique : une conférence en l'honneur de Maxim Kontsevitch , Jun 2014, Paris, France

Communication dans un congrès hal-01331629v1
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Homotopy theory of higher categories

Carlos Simpson

Cambridge University Press, 19, 2011, New mathematical monographs, 9780521516952

Ouvrages hal-00449826v1
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Stacks

Nicole Mestrano , Carlos Simpson

Mathieu Anel; Gabriel Catren. New Spaces in Mathematics : formal and conceptual reflections, Cambridge University Press, pp.462-504, 2021, 9781108490634. ⟨10.1017/9781108854429.012⟩

Chapitre d'ouvrage hal-03347136v1
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An explicit view of the Hitchin fibration on the Betti side for P1 minus 5 points

Carlos Simpson

Jørgen Ellegaard Andersen; Andrew Dancer; Oscar Garcia-Prada. Geometry and Physics: Volume II -- a Festschrift in honour of Nigel Hitchin, Oxford University Press, pp.697-716, 2018, Geometry and Physics: Volume II -- a Festschrift in honour of Nigel Hitchin, 9780198802020

Chapitre d'ouvrage hal-01473602v2

Constructing Buildings and Harmonic Maps

Ludmil Katzarkov , Alexander Noll , Pandit Pranav , Carlos Simpson

Denis Auroux; Ludmil Katzarkov; Tony Pantev; Yan Soibelman; Yuri Tschinkel. Algebra, Geometry, and Physics in the 21st Century (Kontsevich Festschrift), 324, Birkhäuser, pp.203-260, 2017, Progress in Mathematics, 978-3-319-59939-7. ⟨10.1007/978-3-319-59939-7⟩

Chapitre d'ouvrage hal-01335377v1
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Moduli of sheaves

Nicole Mestrano , Carlos Simpson

Development of Moduli Theory---Kyoto, 69, pp.77-172, 2016, Advanced Studies in Pure Mathematics

Chapitre d'ouvrage hal-01298535v1
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Foliations on the moduli space of rank two connections on the projective line minus four points

Frank Loray , Masa-Hiko Saito , Carlos Simpson

D. Bertrand, Ph. Boalch, J.-M. Couveignes, P. Dèbes. Geometric and differential Galois theories, Société Mathématique de France, pp.115-168, 2013, Séminaires et Congrès n° 27

Chapitre d'ouvrage hal-00547446v2

Twistor Hecke eigensheaves in genus 2

Ron Donagi , Tony Pantev , Carlos Simpson

2024

Pré-publication, Document de travail hal-04800249v1

Simple semigroups in finite categories

Najwa Ghannoum , Carlos Simpson

2022

Pré-publication, Document de travail hal-03806565v1
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Learning proofs for the classification of nilpotent semigroups

Carlos Simpson

2021

Pré-publication, Document de travail hal-03251094v1

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

Carlos Simpson

2016

Pré-publication, Document de travail hal-01331631v1
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Variations of Mixed Hodge Structure attached to the deformation theory of a Complex Variation of Hodge Structures

Philippe Eyssidieux , Carlos Simpson

2009

Pré-publication, Document de travail hal-00361369v1
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Geometricity of the Hodge filtration on the $\infty$-stack of perfect complexes over $X_{DR}$

Carlos Simpson

2008

Pré-publication, Document de travail hal-00011204v2
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Iterated destabilizing modifications for vector bundles with connection

Carlos Simpson

2008

Pré-publication, Document de travail hal-00348159v1
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On the classification of rank two representations of quasiprojective fundamental groups

Kevin Corlette , Carlos Simpson

2007

Pré-publication, Document de travail hal-00130283v2
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Regulators of canonical extensions are torsion: the smooth divisor case

Jaya Iyer , Carlos Simpson

2007

Pré-publication, Document de travail hal-00159418v2
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A weight two phenomenon for the moduli of rank one local systems on open varieties

Carlos Simpson

2007

Pré-publication, Document de travail hal-00179373v1
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The Chern character of a parabolic bundle, and a parabolic Reznikov theorem in the case of finite order at infinity

Jaya Iyer , Carlos Simpson

2007

Pré-publication, Document de travail hal-00118656v2
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Katz's middle convolution algorithm

Carlos Simpson

2006

Pré-publication, Document de travail hal-00107120v2
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A relation between the parabolic Chern characters of the de Rham bundles

Jaya Iyer , Carlos Simpson

2006

Pré-publication, Document de travail hal-00021918v2
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Files for Gabriel-Zisman localization

Carlos Simpson

2005

Pré-publication, Document de travail hal-00005547v1
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Explaining Gabriel-Zisman localization to the computer

Carlos Simpson

2005

Pré-publication, Document de travail hal-00005549v1
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Formalized proof, computation, and the construction problem in algebraic geometry

Carlos Simpson

2004

Pré-publication, Document de travail hal-00003021v1
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Computer theorem proving in math

Carlos Simpson

2004

Pré-publication, Document de travail hal-00000842v2

Set-theoretical mathematics in Coq

Carlos Simpson

2004

Pré-publication, Document de travail hal-00118006v1
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Asymptotics for general connections at infinity

Carlos Simpson

2003

Pré-publication, Document de travail hal-00000898v1

Some properties of the theory of n-categories

Carlos Simpson

2001

Pré-publication, Document de travail hal-00118005v1

Calculating maps between n-categories

Carlos Simpson

2000

Pré-publication, Document de travail hal-00118004v1