Carlos Simpson

Documents

Publications

	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
	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
	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
	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
	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
	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
	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
	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
	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

	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

	Homotopy theory of higher categories Carlos Simpson Cambridge University Press, 19, 2011, New mathematical monographs, 9780521516952 Ouvrages hal-00449826v1

	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
	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
	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
	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 space for local systems on an open curve Carlos Simpson 2023 Pré-publication, Document de travail hal-04288750v1
	Simple semigroups in finite categories Najwa Ghannoum , Carlos Simpson 2022 Pré-publication, Document de travail hal-03806565v1
	Spectral networks and stability conditions for Fukaya categories with coefficients Fabian Haiden , Ludmil Katzarkov , Carlos Simpson 2021 Pré-publication, Document de travail hal-03563749v1
	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
	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
	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
	Iterated destabilizing modifications for vector bundles with connection Carlos Simpson 2008 Pré-publication, Document de travail hal-00348159v1
	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
	Regulators of canonical extensions are torsion: the smooth divisor case Jaya Iyer , Carlos Simpson 2007 Pré-publication, Document de travail hal-00159418v2
	On the classification of rank two representations of quasiprojective fundamental groups Kevin Corlette , Carlos Simpson 2007 Pré-publication, Document de travail hal-00130283v2
	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
	A relation between the parabolic Chern characters of the de Rham bundles Jaya Iyer , Carlos Simpson 2006 Pré-publication, Document de travail hal-00021918v2
	Katz's middle convolution algorithm Carlos Simpson 2006 Pré-publication, Document de travail hal-00107120v2
	Explaining Gabriel-Zisman localization to the computer Carlos Simpson 2005 Pré-publication, Document de travail hal-00005549v1
	Files for Gabriel-Zisman localization Carlos Simpson 2005 Pré-publication, Document de travail hal-00005547v1
	Computer theorem proving in math Carlos Simpson 2004 Pré-publication, Document de travail hal-00000842v2
	Formalized proof, computation, and the construction problem in algebraic geometry Carlos Simpson 2004 Pré-publication, Document de travail hal-00003021v1
	Set-theoretical mathematics in Coq Carlos Simpson 2004 Pré-publication, Document de travail hal-00118006v1
	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

Carlos Simpson

Publications

The twistor geometry of parabolic structures in rank two

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

Classification of categories with matrices of coefficient 2 and order n

Rank 3 rigid representations of projective fundamental groups

Approximate categorical structures

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

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

Classification des matrices associées aux catégories finies

Harmonic maps to buildings and singular perturbation theory

Common fixtures of several maps on 2-metric spaces

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

Fixed points and lines in 2-metric spaces

Local systems on proper algebraic V-manifolds

Obstructed bundles of rank two on a quintic surface

Classification of finite semigroups and categories using computational methods

Constructing Buildings and Harmonic Maps

Homotopy theory of higher categories

Stacks

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

Constructing Buildings and Harmonic Maps

Moduli of sheaves

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

Twistor space for local systems on an open curve

Simple semigroups in finite categories

Spectral networks and stability conditions for Fukaya categories with coefficients

Learning proofs for the classification of nilpotent semigroups

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

Variations of Mixed Hodge Structure attached to the deformation theory of a Complex Variation of Hodge Structures

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

Iterated destabilizing modifications for vector bundles with connection

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

Regulators of canonical extensions are torsion: the smooth divisor case

On the classification of rank two representations of quasiprojective fundamental groups

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

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

Katz's middle convolution algorithm

Explaining Gabriel-Zisman localization to the computer

Files for Gabriel-Zisman localization

Computer theorem proving in math

Formalized proof, computation, and the construction problem in algebraic geometry

Set-theoretical mathematics in Coq

Asymptotics for general connections at infinity

Some properties of the theory of n-categories

Calculating maps between n-categories