Carlos Simpson
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Documents
Publications
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The twistor geometry of parabolic structures in rank twoProceedings Mathematical Sciences, 2022, Special Issue in Memory of Professor C S Seshadri, 132 (2), pp.Article 54. ⟨10.1007/s12044-022-00696-1⟩
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Reflections on $c^2_1= 3c_2$ and other thingsNotices of the International Congress of Chinese Mathematicians, 2019, 7 (1), pp.94-96. ⟨10.4310/ICCM.2019.v7.n1.a31⟩
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Classification of categories with matrices of coefficient 2 and order nCommunications in Algebra, 2018, 46 (7), pp.3079-3091. ⟨10.1080/00927872.2017.1404081⟩
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Rank 3 rigid representations of projective fundamental groupsCompositio Mathematica, 2018, 154 (7), pp.1534-1570. ⟨10.1112/S0010437X18007182⟩
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Approximate categorical structuresTheory and Applications of Categories, 2017, 32 (44), pp.1522-1562
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Irreducibility of the moduli space of stable vector bundles of rank two and odd degree on a very general quintic surfacePacific Journal of Mathematics, 2017, 293 (1), pp.121-172. ⟨10.2140/pjm.2018.293.121⟩
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The dual boundary complex of the $SL_2$ character variety of a punctured sphereAnnales 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⟩
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Classification des matrices associées aux catégories finiesCahiers de topologie et géométrie différentielle catégoriques, 2015, LV, pp.205-240
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Harmonic maps to buildings and singular perturbation theoryCommunications in Mathematical Physics, 2015, 336 (2), pp.853-903. ⟨10.1007/s00220-014-2276-6⟩
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Common fixtures of several maps on 2-metric spacesIndian Journal of Mathematics, 2014, Special Volume Dedicated to Professor Billy E. Rhoades, 56 (2), pp.229-262
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Seminatural bundles of rank two, degree one and $c_2=10$ on a quintic surfaceKyoto Journal of Mathematics, 2013, 53 (1), pp.155-195
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Fixed points and lines in 2-metric spacesAdvances in Mathematics, 2012, 229 (1), pp.668-690
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Local systems on proper algebraic V-manifoldsPure and Applied Mathematics Quarterly, 2011, 7, pp.1675-1760
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Obstructed bundles of rank two on a quintic surfaceInternational Journal of Mathematics, 2011, 22 (6), pp.789-836. ⟨10.1142/S0129167X11007045⟩
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Classification of finite semigroups and categories using computational methods5th 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
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Constructing Buildings and Harmonic MapsAlgèbre, Géométrie et Physique : une conférence en l'honneur de Maxim Kontsevitch , Jun 2014, Paris, France
Communication dans un congrès
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Homotopy theory of higher categoriesCambridge University Press, 19, 2011, New mathematical monographs, 9780521516952
Ouvrages
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StacksMathieu Anel; Gabriel Catren. New Spaces in Mathematics : formal and conceptual reflections, Cambridge University Press, pp.462-504, 2021, 9781108490634. ⟨10.1017/9781108854429.012⟩
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An explicit view of the Hitchin fibration on the Betti side for P1 minus 5 pointsJørgen 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
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Constructing Buildings and Harmonic MapsDenis 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⟩
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Moduli of sheavesDevelopment of Moduli Theory---Kyoto, 69, pp.77-172, 2016, Advanced Studies in Pure Mathematics
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Foliations on the moduli space of rank two connections on the projective line minus four pointsD. 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
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