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CV Carlos Simpson

Journal articles11 documents

  • Carlos Simpson. Reflections on $c^2_1= 3c_2$ and other things. Notices of the International Congress of Chinese Mathematicians, 2019, 7 (1), pp.94-96. ⟨10.4310/ICCM.2019.v7.n1.a31⟩. ⟨hal-02392386⟩
  • Adrian Langer, Carlos Simpson. Rank 3 rigid representations of projective fundamental groups. Compositio Mathematica, Foundation Compositio Mathematica, 2018, 154 (7), pp.1534-1570. ⟨hal-01335367⟩
  • Samer Allouch, Carlos Simpson. Classification of categories with matrices of coefficient 2 and order n. Communications in Algebra, Taylor & Francis, 2018, 46 (7), pp.3079-3091. ⟨10.1080/00927872.2017.1404081⟩. ⟨hal-02392385⟩
  • Abdelkrim Aliouche, Carlos Simpson. Approximate categorical structures. Theory and Applications of Categories, Mount Allison University, 2017, 32 (44), pp.1522-1562. ⟨hal-01335387⟩
  • Samer Allouch, Carlos Simpson. Classification des matrices associées aux catégories finies. Cahiers de topologie et géométrie différentielle catégoriques, 2015, LV, pp.205-240. ⟨hal-01292875⟩
  • Ludmil Katzarkov, Alexander Noll, Pandit Pranav, Carlos Simpson. Harmonic maps to buildings and singular perturbation theory. Communications in Mathematical Physics, Springer Verlag, 2015, 336 (2), pp.853-903. ⟨10.1007/s00220-014-2276-6⟩. ⟨hal-01292879⟩
  • Abdelkrim Aliouche, Carlos Simpson. Common fixtures of several maps on 2-metric spaces. Indian Journal of Mathematics, The Allahabad Mathematical Society, 2014, Special Volume Dedicated to Professor Billy E. Rhoades, 56 (2), pp.229-262. ⟨hal-01292866⟩
  • Nicole Mestrano, Carlos Simpson. Seminatural bundles of rank two, degree one and $c_2=10$ on a quintic surface. Kyoto Journal of Mathematics, Duke University Press, 2013, 53 (1), pp.155-195. ⟨hal-00669217⟩
  • Abdelkrim Aliouche, Carlos Simpson. Fixed points and lines in 2-metric spaces. Advances in Mathematics, Elsevier, 2012, 229 (1), pp.668-690. ⟨hal-00467238v3⟩
  • Carlos Simpson. Local systems on proper algebraic V-manifolds. Pure and Applied Mathematics Quarterly, International Press, 2011, 7, pp.1675-1760. ⟨hal-00539971⟩
  • Nicole Mestrano, Carlos Simpson. Obstructed bundles of rank two on a quintic surface. International Journal of Mathematics, World Scientific Publishing, 2011, 22 (6), pp.789-836. ⟨10.1142/S0129167X11007045⟩. ⟨hal-00414445v4⟩

Conference papers2 documents

  • Wesley Fussner, Najwa Ghannoum, Tomás Jakl, Carlos Simpson. Classification of finite semigroups and categories using computational methods. 5th Conference on Artificial Intelligence and Theorem Proving AITP 2020, Thomas Hales, Cezary Kaliszyk, Ramana Kumar, Stephan Schulz, Josef Urban, Sep 2020, Aussois, France. ⟨hal-02972963⟩
  • Ludmil Katzarkov, Alexander Noll, Pranav Pandit, Carlos Simpson. Constructing Buildings and Harmonic Maps. Algèbre, Géométrie et Physique : une conférence en l'honneur de Maxim Kontsevitch , Jun 2014, Paris, France. ⟨hal-01331629⟩

Books1 document

  • Carlos Simpson. Homotopy theory of higher categories. Cambridge University Press, 19, 2011, New mathematical monographs, 9780521516952. ⟨hal-00449826⟩

Book sections2 documents

  • Nicole Mestrano, Carlos Simpson. Moduli of sheaves. Development of Moduli Theory---Kyoto 2013, 69, pp.77-172, 2016, Advanced Studies in Pure Mathematics. ⟨hal-01298535⟩
  • Frank Loray, Masa-Hiko Saito, Carlos Simpson. Foliations on the moduli space of rank two connections on the projective line minus four points. 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. ⟨hal-00547446v2⟩

Preprints, Working Papers, ...22 documents

  • Carlos Simpson. An explicit view of the Hitchin fibration on the Betti side for P1 minus 5 points. 2017. ⟨hal-01473602v2⟩
  • Carlos Simpson. The dual boundary complex of the $SL_2$ character variety of a punctured sphere. 2016. ⟨hal-01331631⟩
  • Nicole Mestrano, Carlos T. Simpson. Irreducibility of the moduli space of stable vector bundles of rank two and odd degree on a very general quintic surface. 2016. ⟨hal-00788692v4⟩
  • Ludmil Katzarkov, Alexander Noll, Pandit Pranav, Carlos Simpson. Constructing Buildings and Harmonic Maps. 2016. ⟨hal-01335377⟩
  • Carlos Simpson. The dual boundary complex of the $SL_2$ character variety of a punctured sphere. 2015. ⟨hal-01335381⟩
  • Philippe Eyssidieux, Carlos Simpson. Variations of Mixed Hodge Structure attached to the deformation theory of a Complex Variation of Hodge Structures. 2009. ⟨hal-00361369⟩
  • Carlos Simpson. Geometricity of the Hodge filtration on the $\infty$-stack of perfect complexes over $X_{DR}$. 2008. ⟨hal-00011204v2⟩
  • Carlos Simpson. Iterated destabilizing modifications for vector bundles with connection. 2008. ⟨hal-00348159⟩
  • Carlos Simpson. A weight two phenomenon for the moduli of rank one local systems on open varieties. 2007. ⟨hal-00179373⟩
  • Jaya Iyer, Carlos Simpson. Regulators of canonical extensions are torsion: the smooth divisor case. 2007. ⟨hal-00159418v2⟩
  • Jaya Iyer, Carlos Simpson. The Chern character of a parabolic bundle, and a parabolic Reznikov theorem in the case of finite order at infinity. 2007. ⟨hal-00118656v2⟩
  • Kevin Corlette, Carlos Simpson. On the classification of rank two representations of quasiprojective fundamental groups. 2007. ⟨hal-00130283v2⟩
  • Carlos Simpson. Katz's middle convolution algorithm. 2006. ⟨hal-00107120v2⟩
  • Jaya Iyer, Carlos Simpson. A relation between the parabolic Chern characters of the de Rham bundles. 2006. ⟨hal-00021918v2⟩
  • Carlos Simpson. Files for Gabriel-Zisman localization. 2005. ⟨hal-00005547⟩
  • Carlos Simpson. Explaining Gabriel-Zisman localization to the computer. 2005. ⟨hal-00005549⟩
  • Carlos Simpson. Computer theorem proving in math. 2004. ⟨hal-00000842v2⟩
  • Carlos Simpson. Set-theoretical mathematics in Coq. 2004. ⟨hal-00118006⟩
  • Carlos Simpson. Formalized proof, computation, and the construction problem in algebraic geometry. 2004. ⟨hal-00003021⟩
  • Carlos Simpson. Asymptotics for general connections at infinity. 2003. ⟨hal-00000898⟩
  • Carlos Simpson. Some properties of the theory of n-categories. 2001. ⟨hal-00118005⟩
  • Carlos Simpson. Calculating maps between n-categories. 2000. ⟨hal-00118004⟩