Pierre-Vincent Koseleff
- Sorbonne Université (SU)
- Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG (UMR_7586))
- OUtils de Résolution Algébriques pour la Géométrie et ses ApplicatioNs (OURAGAN)
Présentation
Publications
Publications
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The lexicographic degree of the first two-bridge knotsAnnales de la Faculté des Sciences de Toulouse. Mathématiques., 2020, 29 (4), pp.761-793. ⟨10.5802/afst.1645⟩ |
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Computing Chebyshev knot diagramsJournal of Symbolic Computation, 2018, 86, pp.21. ⟨10.1016/j.jsc.2017.04.001⟩ |
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Character Varieties For SL(3,C): The Figure Eight KnotExperimental Mathematics, 2016, 25 (2), pp.17. ⟨10.1080/10586458.2015.1068249⟩ |
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Untangling trigonal diagramsJournal of Knot Theory and Its Ramifications, 2016, 25 (7), ⟨10.1142/S0218216516500437⟩ |
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On the lexicographic degree of two-bridge knotsJournal of Knot Theory and Its Ramifications, 2016, 25 (7), ⟨10.1142/S0218216516500449⟩ |
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Harmonic KnotsJournal of Knot Theory and Its Ramifications, 2016, 25 (13), 18p. ⟨10.1142/S0218216516500747⟩ |
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On Alexander–Conway polynomials of two-bridge linksJournal of Symbolic Computation, 2015, Effective Methods in Algebraic Geometry, Volume 68 (2), pp.215-229. ⟨10.1016/j.jsc.2014.09.011⟩ |
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Representations of fundamental groups of 3-manifolds into PGL(3,C): Exact computations in low complexityGeometriae Dedicata, 2015, 177 (1), pp.52. ⟨10.1007/s10711-014-9987-x⟩ |
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Every knot is a billiard knotBanach Center Publications, 2014, Knot in Poland III, 100 (1), pp.173-178. ⟨10.4064/bc100-0-9⟩ |
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Local rigidity for SL (3,C) representations of 3-manifolds groupsExperimental Mathematics, 2013, 22 (4), pp.10. ⟨10.1080/10586458.2013.832441⟩ |
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Chebyshev KnotsJournal of Knot Theory and Its Ramifications, 2011, 20 (4), pp.575-593. ⟨10.1142/S0218216511009364⟩ |
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Chebyshev diagrams for two-bridge knotsGeometriae Dedicata, 2011, 150 (1), pp.405-425. ⟨10.1007/s10711-010-9514-7⟩ |
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The first rational Chebyshev knotsJournal of Symbolic Computation, 2010, 45 (12), pp.1341-1358. ⟨10.1016/j.jsc.2010.06.014⟩ |
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On Fibonacci KnotsThe Fibonacci Quarterly, 2010, 48 (2), pp.137-143 |
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A polynomial parametrization of torus knotsApplicable Algebra in Engineering, Communication and Computing, 2009, 20 (5-6), pp.361-377. ⟨10.1007/s00200-009-0103-7⟩ |
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On polynomial Torus KnotsJournal of Knot Theory and Its Ramifications, 2008, 17 (12), pp.1525-1537. ⟨10.1142/S0218216508006713⟩ |
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A circle of modular groups in PU(2,1)Mathematical Research Letters, 2002, 9 (3), pp.379-391. ⟨10.4310/MRL.2002.v9.n3.a11⟩ |
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Rigidity and flexibility of triangle groups in complex hyperbolic geometryTopology, 2002, 41 (4), pp.767-786. ⟨10.1016/S0040-9383(00)00049-5⟩ |
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Flexibility of ideal triangle groups in complex hyperbolic geometryTopology, 2000, 39 (6), pp.1209-1223. ⟨10.1016/S0040-9383(99)00023-3⟩ |
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The Number of Sides of a ParallelogramDiscrete Mathematics and Theoretical Computer Science, 1999, Vol. 3 no. 2 (2), pp.33-42. ⟨10.46298/dmtcs.251⟩ |
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Special issue: 'Lie ComputationsDiscrete Mathematics and Theoretical Computer Science, 1997, Vol. 1, pp.99-100. ⟨10.46298/dmtcs.235⟩ |
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On the sign of a trigonometric expressionISSAC ' 15, Jul 2015, Bath, United Kingdom. ⟨10.1145/2755996.2756664⟩ |
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On Alexander-Conway polynomials of two-bridge linksMEGA'2013 (Special Issue), Jun 2013, Frankfurt am Main, Allemagne |
Computing Chebyshev knots diagramsMEGA 11, 2011, Unknown, Unknown Region |
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Elementary approximation of exponentials of Lie polynomialsApplied Algebra, Algebraic Algorithms and Error-Correcting Codes, 1255, Springer Berlin Heidelberg, pp.174-188, 1997, Lecture Notes in Computer Science, ⟨10.1007/3-540-63163-1_14⟩ |
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On the sign of a trigonometric expression2015 |
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Modulo 2 Conway polynomials of rational links2010 |
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Computing Chebyshev knot diagrams2010 |
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Chebyshev diagrams for rational knots2009 |
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Calcul formel pour les méthodes de Lie en mécanique hamiltonienneSystèmes dynamiques [math.DS]. Ecole Polytechnique, 1993. Français. ⟨NNT : ⟩ |
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Contributions au calcul dans les algèbres de Lie libres et à la déformation des groupes triangulaires en géométrie hyperbolique complexeMathématiques [math]. Université Pierre et Marie Curie - Paris VI, 2003 |