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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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • Carlos Simpson. Local systems on proper algebraic V-manifolds. Pure and Applied Mathematics Quarterly, International Press, 2011, 7, pp.1675-1760. ⟨hal-00539971⟩

Conference papers1 document

  • 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⟩
  • 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. 2016. ⟨hal-01331631⟩
  • 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⟩
  • Kevin Corlette, Carlos Simpson. On the classification of rank two representations of quasiprojective fundamental groups. 2007. ⟨hal-00130283v2⟩
  • 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⟩
  • 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. Formalized proof, computation, and the construction problem in algebraic geometry. 2004. ⟨hal-00003021⟩
  • Carlos Simpson. Set-theoretical mathematics in Coq. 2004. ⟨hal-00118006⟩
  • Carlos Simpson. Computer theorem proving in math. 2004. ⟨hal-00000842v2⟩
  • 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⟩