Edit Profile (opens in new tab) Lairez, Pierre Co-Author Distance Author ID: lairez.pierre Published as: Lairez, Pierre Homepage: http://pierre.lairez.fr/ Documents Indexed: 23 Publications since 2012, including 2 Additional arXiv Preprints Co-Authors: 20 Co-Authors with 19 Joint Publications 721 Co-Co-Authors all top 5 Co-Authors 4 single-authored 4 Bostan, Alin 4 Safey El Din, Mohab 3 Bürgisser, Peter 3 Eder, Christian 3 Mohr, Rafael 3 Salvy, Bruno 2 Chyzak, Frédéric 2 Cucker, Felipe 2 Sertöz, Emre Can 2 Vanhove, Pierre 1 Bierstone, Edward 1 Guillemot, Alexandre 1 Hüttenhain, Jesko 1 Jiménez-Pastor, Antonio 1 Kohn, Kathlén 1 Mezzarobba, Marc 1 Milman, Pierre D. 1 Pichon-Pharabod, Eric 1 Sturmfels, Bernd 1 Vaccon, Tristan all top 5 Serials 3 Journal of Symbolic Computation 2 ACM Communications in Computer Algebra 1 Letters in Mathematical Physics 1 Mathematics of Computation 1 Advances in Mathematics 1 Journal of the American Mathematical Society 1 Journal of the ACM 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Algebra & Number Theory 1 Forum of Mathematics, Pi 1 SIAM Journal on Applied Algebra and Geometry all top 5 Fields 14 Computer science (68-XX) 10 Algebraic geometry (14-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Numerical analysis (65-XX) 3 Special functions (33-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Ordinary differential equations (34-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 140 times in 108 Documents Cited by ▼ Year ▼ Creative telescoping for rational functions using the Griffiths-Dwork method. Zbl 1360.68921 Bostan, Alin; Lairez, Pierre; Salvy, Bruno 23 2013 Computing periods of rational integrals. Zbl 1337.68301 Lairez, Pierre 20 2016 A deterministic algorithm to compute approximate roots of polynomial systems in polynomial average time. Zbl 1458.65058 Lairez, Pierre 16 2017 Multiple binomial sums. Zbl 1351.05013 Bostan, Alin; Lairez, Pierre; Salvy, Bruno 15 2017 Computing the homology of basic semialgebraic sets in weak exponential time. Zbl 1426.14016 Bürgisser, Peter; Cucker, Felipe; Lairez, Pierre 14 2019 Generalized Hermite reduction, creative telescoping and definite integration of D-finite functions. Zbl 1467.34011 Bostan, Alin; Chyzak, Frédéric; Lairez, Pierre; Salvy, Bruno 8 2018 Computing the volume of compact semi-algebraic sets. Zbl 1467.14139 Lairez, Pierre; Mezzarobba, Marc; Safey El Din, Mohab 7 2019 A numerical transcendental method in algebraic geometry: computation of Picard groups and related invariants. Zbl 1441.14036 Lairez, Pierre; Sertöz, Emre Can 6 2019 Rigid continuation paths. I: Quasilinear average complexity for solving polynomial systems. Zbl 07179136 Lairez, Pierre 6 2020 On \(p\)-adic differential equations with separation of variables. Zbl 1364.12007 Lairez, Pierre; Vaccon, Tristan 5 2016 Algorithms for minimal Picard-Fuchs operators of Feynman integrals. Zbl 1509.14020 Lairez, Pierre; Vanhove, Pierre 4 2023 The boundary of the orbit of the 3-by-3 determinant polynomial. (La frontière de l’orbite du polynôme déterminant 3 par 3.) Zbl 1352.14031 Hüttenhain, Jesko; Lairez, Pierre 4 2016 Resolution except for minimal singularities. II. The case of four variables. Zbl 1262.14003 Bierstone, Edward; Lairez, Pierre; Milman, Pierre D. 4 2012 A signature-based algorithm for computing the nondegenerate locus of a polynomial system. Zbl 07704551 Eder, Christian; Lairez, Pierre; Mohr, Rafael; El Din, Mohab Safey 3 2023 Computing the Chow variety of quadratic space curves. Zbl 1460.14132 Bürgisser, Peter; Kohn, Kathlén; Lairez, Pierre; Sturmfels, Bernd 2 2016 The Sage package comb\(\_\)walks for walks in the quarter plane. Zbl 1499.68417 Jiménez-Pastor, Antonio; Bostan, Alin; Chyzak, Frédéric; Lairez, Pierre 2 2020 Rigid continuation paths. II: Structured polynomial systems. Zbl 07691682 Bürgisser, Peter; Cucker, Felipe; Lairez, Pierre 1 2023 Algorithms for minimal Picard-Fuchs operators of Feynman integrals. Zbl 1509.14020 Lairez, Pierre; Vanhove, Pierre 4 2023 A signature-based algorithm for computing the nondegenerate locus of a polynomial system. Zbl 07704551 Eder, Christian; Lairez, Pierre; Mohr, Rafael; El Din, Mohab Safey 3 2023 Rigid continuation paths. II: Structured polynomial systems. Zbl 07691682 Bürgisser, Peter; Cucker, Felipe; Lairez, Pierre 1 2023 Rigid continuation paths. I: Quasilinear average complexity for solving polynomial systems. Zbl 07179136 Lairez, Pierre 6 2020 The Sage package comb\(\_\)walks for walks in the quarter plane. Zbl 1499.68417 Jiménez-Pastor, Antonio; Bostan, Alin; Chyzak, Frédéric; Lairez, Pierre 2 2020 Computing the homology of basic semialgebraic sets in weak exponential time. Zbl 1426.14016 Bürgisser, Peter; Cucker, Felipe; Lairez, Pierre 14 2019 Computing the volume of compact semi-algebraic sets. Zbl 1467.14139 Lairez, Pierre; Mezzarobba, Marc; Safey El Din, Mohab 7 2019 A numerical transcendental method in algebraic geometry: computation of Picard groups and related invariants. Zbl 1441.14036 Lairez, Pierre; Sertöz, Emre Can 6 2019 Generalized Hermite reduction, creative telescoping and definite integration of D-finite functions. Zbl 1467.34011 Bostan, Alin; Chyzak, Frédéric; Lairez, Pierre; Salvy, Bruno 8 2018 A deterministic algorithm to compute approximate roots of polynomial systems in polynomial average time. Zbl 1458.65058 Lairez, Pierre 16 2017 Multiple binomial sums. Zbl 1351.05013 Bostan, Alin; Lairez, Pierre; Salvy, Bruno 15 2017 Computing periods of rational integrals. Zbl 1337.68301 Lairez, Pierre 20 2016 On \(p\)-adic differential equations with separation of variables. Zbl 1364.12007 Lairez, Pierre; Vaccon, Tristan 5 2016 The boundary of the orbit of the 3-by-3 determinant polynomial. (La frontière de l’orbite du polynôme déterminant 3 par 3.) Zbl 1352.14031 Hüttenhain, Jesko; Lairez, Pierre 4 2016 Computing the Chow variety of quadratic space curves. Zbl 1460.14132 Bürgisser, Peter; Kohn, Kathlén; Lairez, Pierre; Sturmfels, Bernd 2 2016 Creative telescoping for rational functions using the Griffiths-Dwork method. Zbl 1360.68921 Bostan, Alin; Lairez, Pierre; Salvy, Bruno 23 2013 Resolution except for minimal singularities. II. The case of four variables. Zbl 1262.14003 Bierstone, Edward; Lairez, Pierre; Milman, Pierre D. 4 2012 all cited Publications top 5 cited Publications all top 5 Cited by 177 Authors 9 Lairez, Pierre 8 Cucker, Felipe 7 Bostan, Alin 6 Bürgisser, Peter 5 Breiding, Paul 5 Chen, Shaoshi 5 Melczer, Stephen 5 Salvy, Bruno 5 Sertöz, Emre Can 5 Tonelli-Cueto, Josué 4 Ergür, Alperen Ali 4 Kauers, Manuel 4 Koutschan, Christoph 3 Basu, Saugata 3 Beltrán, Carlos E. 3 Wang, Ronghua 3 Yurkevich, Sergey V. 2 Bierstone, Edward 2 Caruso, Xavier 2 Di Rocco, Sandra 2 Du, Lixin 2 Eid, Élie 2 Eklund, David 2 Gäfvert, Oliver 2 Huang, Hui 2 Ikenmeyer, Christian 2 Karisani, Negin 2 Kasprzyk, Alexander M. 2 Kohn, Kathlén 2 Krattenthaler, Christian Friedrich 2 Labahn, George 2 Lasserre, Jean-Bernard 2 Magron, Victor 2 Mishna, Marni 2 Movasati, Hossein 2 Paouris, Grigoris 2 Rivoal, Tanguy 2 Rojas, J. Maurice 2 Simsek, Yilmaz 2 Straub, Armin 2 Tsigaridas, Elias P. 2 van der Hoeven, Joris 2 van Hoeij, Mark 2 Vannieuwenhoven, Nick 1 Abdelaziz, Y. 1 Armentano, Diego 1 Bandeira, Afonso S. 1 Baryshnikov, Yuliy M. 1 Bendkowski, Maciej 1 Bläser, Markus 1 Blum-Smith, Ben 1 Bodini, Olivier 1 Boralevi, Ada 1 Boukraa, Salah 1 Bousquet-Mélou, Mireille 1 Brent, Richard Peirce 1 Burrill, Sophie 1 Çelik, Türkü Özlüm 1 Chalkis, Apostolos 1 Chapuy, Guillaume 1 Chmiel, Tymoteusz 1 Chyzak, Frédéric 1 Coates, Tom 1 Courtiel, Julien 1 De Feo, Luca 1 de la Cruz, Leonardo R. 1 Detcherry, Renaud 1 Dovgal, Sergey 1 Draisma, Jan 1 Drmota, Michael 1 Duff, Timothy 1 Dumont, Louis 1 Eder, Christian 1 Edwards, Parker B. 1 Elizalde, Sergi 1 Emiris, Ioannis Z. 1 Etayo, Ujué 1 Fischler, Stéphane 1 Fisikopoulos, Vissarion 1 Fusy, Éric 1 Galkin, Sergeĭ 1 Garoufalidis, Stavros 1 Gesmundo, Fulvio 1 Giesbrecht, Mark W. 1 Giroux, Mathieu 1 Goaoc, Xavier 1 Gorodetsky, Ofir 1 Gupta, Nikhil 1 Hardouin, Charlotte 1 Hauenstein, Jonathan D. 1 Heal, Kathryn 1 Heaton, Alexander 1 Henrion, Didier 1 Hochstenbach, Michiel E. 1 Hofstadler, Clemens 1 Holmsen, Andreas F. 1 Hou, Qinghu 1 Hugounenq, Cyril 1 Kališnik Verovšek, Sara 1 Kileel, Joe ...and 77 more Authors all top 5 Cited in 55 Serials 10 Journal of Symbolic Computation 8 Foundations of Computational Mathematics 5 Mathematics of Computation 5 SIAM Journal on Applied Algebra and Geometry 4 Journal of High Energy Physics 3 Advances in Mathematics 3 European Journal of Combinatorics 3 Journal of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Advances in Applied Mathematics 2 Discrete & Computational Geometry 2 Experimental Mathematics 2 Applied and Computational Harmonic Analysis 2 Combinatorics, Probability and Computing 2 Forum of Mathematics, Sigma 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Chinese Annals of Mathematics. Series B 1 Journal of Complexity 1 Algorithmica 1 International Journal of Mathematics 1 Linear Algebra and its Applications 1 Applicable Algebra in Engineering, Communication and Computing 1 SIAM Journal on Optimization 1 New Zealand Journal of Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Kyushu Journal of Mathematics 1 Advances in Applied Clifford Algebras 1 Selecta Mathematica. New Series 1 Advances in Computational Mathematics 1 Annals of Combinatorics 1 Revista Matemática Complutense 1 LMS Journal of Computation and Mathematics 1 Journal of Systems Science and Complexity 1 Oberwolfach Reports 1 Proyecciones 1 Mathematics in Computer Science 1 Journal of Physics A: Mathematical and Theoretical 1 Algebra & Number Theory 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Numerical Algebra, Control and Optimization 1 Forum of Mathematics, Pi 1 Research in Number Theory 1 SIAM Journal on Mathematics of Data Science 1 Combinatorial Theory all top 5 Cited in 33 Fields 42 Algebraic geometry (14-XX) 39 Computer science (68-XX) 22 Special functions (33-XX) 19 Combinatorics (05-XX) 19 Numerical analysis (65-XX) 18 Number theory (11-XX) 12 Commutative algebra (13-XX) 9 Several complex variables and analytic spaces (32-XX) 7 Field theory and polynomials (12-XX) 6 Quantum theory (81-XX) 5 Ordinary differential equations (34-XX) 5 Operations research, mathematical programming (90-XX) 4 Functions of a complex variable (30-XX) 4 Statistics (62-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Probability theory and stochastic processes (60-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 Algebraic topology (55-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Biology and other natural sciences (92-XX) Citations by Year