Edit Profile (opens in new tab) Bihan, Frédéric Co-Author Distance Author ID: bihan.frederic Published as: Bihan, Frédéric; Bihan, F. External Links: MGP Documents Indexed: 31 Publications since 1999, including 4 Additional arXiv Preprints Co-Authors: 16 Co-Authors with 22 Joint Publications 412 Co-Co-Authors all top 5 Co-Authors 9 single-authored 7 Sottile, Frank 6 Dickenstein, Alicia M. 3 Bertrand, Benoît 3 Giaroli, Magalí 2 Forsgård, Jens 2 Rojas, J. Maurice 2 Spaenlehauer, Pierre-Jean 1 Bates, Daniel J. 1 El Hilany, Boulos 1 Franz, Matthias 1 Mangolte, Frédéric 1 McCrory, Clint G. 1 Santos, Francisco 1 Soprunov, Ivan 1 Stella, Casey E. 1 van Hamel, Joost all top 5 Serials 2 Advances in Mathematics 2 Journal of Symbolic Computation 2 IMRN. International Mathematics Research Notices 2 Advances in Geometry 1 Journal of Mathematical Biology 1 Annales de l’Institut Fourier 1 Commentarii Mathematici Helvetici 1 Geometriae Dedicata 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Discrete & Computational Geometry 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Revista Matemática Complutense 1 Moscow Mathematical Journal 1 SIAM Journal on Applied Algebra and Geometry all top 5 Fields 26 Algebraic geometry (14-XX) 8 Field theory and polynomials (12-XX) 8 Convex and discrete geometry (52-XX) 3 Commutative algebra (13-XX) 2 Biology and other natural sciences (92-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 175 times in 97 Documents Cited by ▼ Year ▼ New fewnomial upper bounds from Gale dual polynomial systems. Zbl 1148.14028 Bihan, Frédéric; Sottile, Frank 25 2007 Lower bounds for positive roots and regions of multistationarity in chemical reaction networks. Zbl 1453.92120 Bihan, Frédéric; Dickenstein, Alicia; Giaroli, Magalí 13 2020 Irrational mixed decomposition and sharp fewnomial bounds for tropical polynomial systems. Zbl 1375.14210 Bihan, Frédéric 12 2016 Polynomial systems supported on circuits and dessins d’enfants. Zbl 1119.12002 Bihan, Frédéric 12 2007 Regions of multistationarity in cascades of Goldbeter-Koshland loops. Zbl 1409.92103 Giaroli, Magalí; Bihan, Frédéric; Dickenstein, Alicia 10 2019 Descartes’ rule of signs for polynomial systems supported on circuits. Zbl 1405.14131 Bihan, Frédéric; Dickenstein, Alicia 10 2017 A polyhedral method for sparse systems with many positive solutions. Zbl 1473.14111 Bihan, Frédéric; Santos, Francisco; Spaenlehauer, Pierre-Jean 9 2018 Viro method for the construction of real complete intersections. Zbl 1048.14035 Bihan, F. 9 2002 Bounds on the number of real solutions to polynomial equations. Zbl 1129.14077 Bates, Daniel J.; Bihan, Frédéric; Sottile, Frank 8 2007 Is every toric variety an \(M\)-variety? Zbl 1106.14047 Bihan, Frédéric; Franz, Matthias; McCrory, Clint; van Hamel, Joost 7 2006 Faster real feasibility via circuit discriminants. Zbl 1237.68251 Bihan, Frédéric; Rojas, J. Maurice; Stella, Casey E. 7 2009 Criteria for strict monotonicity of the mixed volume of convex polytopes. Zbl 1428.52011 Bihan, Frédéric; Soprunov, Ivan 6 2019 On the sharpness of fewnomial bounds and the number of components of fewnomial hypersurfaces. Zbl 1132.14334 Bihan, Frédéric; Rojas, J. Maurice; Sottile, Frank 6 2008 Gale duality for complete intersections. Zbl 1243.14044 Bihan, Frédéric; Sottile, Frank 6 2008 Polynomial systems with few real zeroes. Zbl 1102.14039 Bertrand, Benoît; Bihan, Frédéric; Sottile, Frank 6 2006 Asymptotic behaviour of Betti numbers of real algebraic surfaces. Zbl 1022.14018 Bihan, F. 5 2003 Intersection multiplicity numbers between tropical hypersurfaces. Zbl 1312.14139 Bertrand, Benoît; Bihan, Frédéric 5 2013 A sharp bound on the number of real intersection points of a sparse plane curve with a line. Zbl 1429.14021 Bihan, Frédéric; El Hilany, Boulos 4 2017 Fewnomial bounds for completely mixed polynomial systems. Zbl 1232.14041 Bihan, Frédéric; Sottile, Frank 4 2011 Betti number bounds for fewnomial hypersurfaces via stratified Morse theory. Zbl 1185.14052 Bihan, Frédéric; Sottile, Frank 3 2009 A real numeric quintic surface whose first Betti number is maximal. (Une quintique numérique réelle dont le premier nombre de Betti est maximal.) Zbl 0973.14032 Bihan, Frédéric 2 1999 A sextic in real projective space with a large number of handles. (Une sextique de l’espace projectif réel avec un grand nombre d’anses.) Zbl 1073.14558 Bihan, F. 2 2001 Betti numbers of real numerical quintic surfaces. Zbl 0988.14026 Bihan, F. 1 2001 Maximally positive polynomial systems supported on circuits. Zbl 1308.14062 Bihan, Frédéric 1 2015 Topological types of real regular Jacobian elliptic surfaces. Zbl 1134.14031 Bihan, Frédéric; Mangolte, Frédéric 1 2007 Optimal Descartes’ rule of signs for systems supported on circuits. Zbl 1487.14129 Bihan, Frédéric; Dickenstein, Alicia; Forsgård, Jens 1 2021 Optimal Descartes’ rule of signs for systems supported on circuits. Zbl 1487.14129 Bihan, Frédéric; Dickenstein, Alicia; Forsgård, Jens 1 2021 Lower bounds for positive roots and regions of multistationarity in chemical reaction networks. Zbl 1453.92120 Bihan, Frédéric; Dickenstein, Alicia; Giaroli, Magalí 13 2020 Regions of multistationarity in cascades of Goldbeter-Koshland loops. Zbl 1409.92103 Giaroli, Magalí; Bihan, Frédéric; Dickenstein, Alicia 10 2019 Criteria for strict monotonicity of the mixed volume of convex polytopes. Zbl 1428.52011 Bihan, Frédéric; Soprunov, Ivan 6 2019 A polyhedral method for sparse systems with many positive solutions. Zbl 1473.14111 Bihan, Frédéric; Santos, Francisco; Spaenlehauer, Pierre-Jean 9 2018 Descartes’ rule of signs for polynomial systems supported on circuits. Zbl 1405.14131 Bihan, Frédéric; Dickenstein, Alicia 10 2017 A sharp bound on the number of real intersection points of a sparse plane curve with a line. Zbl 1429.14021 Bihan, Frédéric; El Hilany, Boulos 4 2017 Irrational mixed decomposition and sharp fewnomial bounds for tropical polynomial systems. Zbl 1375.14210 Bihan, Frédéric 12 2016 Maximally positive polynomial systems supported on circuits. Zbl 1308.14062 Bihan, Frédéric 1 2015 Intersection multiplicity numbers between tropical hypersurfaces. Zbl 1312.14139 Bertrand, Benoît; Bihan, Frédéric 5 2013 Fewnomial bounds for completely mixed polynomial systems. Zbl 1232.14041 Bihan, Frédéric; Sottile, Frank 4 2011 Faster real feasibility via circuit discriminants. Zbl 1237.68251 Bihan, Frédéric; Rojas, J. Maurice; Stella, Casey E. 7 2009 Betti number bounds for fewnomial hypersurfaces via stratified Morse theory. Zbl 1185.14052 Bihan, Frédéric; Sottile, Frank 3 2009 On the sharpness of fewnomial bounds and the number of components of fewnomial hypersurfaces. Zbl 1132.14334 Bihan, Frédéric; Rojas, J. Maurice; Sottile, Frank 6 2008 Gale duality for complete intersections. Zbl 1243.14044 Bihan, Frédéric; Sottile, Frank 6 2008 New fewnomial upper bounds from Gale dual polynomial systems. Zbl 1148.14028 Bihan, Frédéric; Sottile, Frank 25 2007 Polynomial systems supported on circuits and dessins d’enfants. Zbl 1119.12002 Bihan, Frédéric 12 2007 Bounds on the number of real solutions to polynomial equations. Zbl 1129.14077 Bates, Daniel J.; Bihan, Frédéric; Sottile, Frank 8 2007 Topological types of real regular Jacobian elliptic surfaces. Zbl 1134.14031 Bihan, Frédéric; Mangolte, Frédéric 1 2007 Is every toric variety an \(M\)-variety? Zbl 1106.14047 Bihan, Frédéric; Franz, Matthias; McCrory, Clint; van Hamel, Joost 7 2006 Polynomial systems with few real zeroes. Zbl 1102.14039 Bertrand, Benoît; Bihan, Frédéric; Sottile, Frank 6 2006 Asymptotic behaviour of Betti numbers of real algebraic surfaces. Zbl 1022.14018 Bihan, F. 5 2003 Viro method for the construction of real complete intersections. Zbl 1048.14035 Bihan, F. 9 2002 A sextic in real projective space with a large number of handles. (Une sextique de l’espace projectif réel avec un grand nombre d’anses.) Zbl 1073.14558 Bihan, F. 2 2001 Betti numbers of real numerical quintic surfaces. Zbl 0988.14026 Bihan, F. 1 2001 A real numeric quintic surface whose first Betti number is maximal. (Une quintique numérique réelle dont le premier nombre de Betti est maximal.) Zbl 0973.14032 Bihan, Frédéric 2 1999 all cited Publications top 5 cited Publications all top 5 Cited by 133 Authors 15 Bihan, Frédéric 10 Dickenstein, Alicia M. 9 Feliu, Elisenda 7 Sottile, Frank 4 de Wolff, Timo 4 Giaroli, Magalí 4 Rojas, J. Maurice 4 Shiu, Anne 3 Avendano, Martin 3 Du, Weiping 3 El Hilany, Boulos 3 Forsgård, Jens 3 Grigor’ev, Dmitriĭ Yur’evich 3 Koiran, Pascal 3 Lai, Yisheng 3 Sanyal, Raman 3 Yürük, Oğuzhan 2 Argüz, Hülya 2 Bartzos, Evangelos 2 Bates, Daniel J. 2 Bertrand, Benoît 2 Biswas, Indranil 2 Bürgisser, Peter 2 Conradi, Carsten 2 Craciun, Gheorghe 2 D’Mello, Shane 2 Emiris, Ioannis Z. 2 Ergür, Alperen Ali 2 Haase, Christian Alexander 2 Hauenstein, Jonathan D. 2 Hower, Valerie 2 Jochemko, Katharina Victoria 2 Kaihnsa, Nidhi 2 Millán, Mercedes Pérez 2 Nill, Benjamin 2 Obatake, Nida 2 Portier, Natacha 2 Renaudineau, Arthur 2 Sadeghimanesh, AmirHosein 2 Skomra, Mateusz 2 Spaenlehauer, Pierre-Jean 2 Tang, Xiaoxian 2 Theobald, Thorsten 2 Torres, Angélica 2 Wang, Renhong 1 Akriche, Mouadh 1 Allamigeon, Xavier 1 Arnal, Charles 1 Bender, Matías R. 1 Berg, Sören Lennart 1 Bernal, Edgar A. 1 Bi, Jingguo 1 Boros, Balázs 1 Breiding, Paul 1 Brustenga i Moncusí, Laura 1 Cappelletti, Daniele 1 Çelik, Türkü Özlüm 1 Chattopadhyay, Arkadev 1 Chen, Changbo 1 Chen, Tianran 1 Cheng, Qi 1 Davydow, Alex 1 Di Rocco, Sandra 1 Duan, Dexin 1 Duff, Timothy 1 Fang, Xiaoke 1 Franz, Matthias 1 Frick, Florian 1 Gasull, Armengol 1 Gaubert, Stéphane 1 Grenet, Bruno 1 Gross, Elizabeth 1 Heaton, Alexander 1 Helmer, Martin 1 Herrero, María Isabel 1 Hill, Cvetelina 1 Iosif, Alexandru 1 Juhnke-Kubitzke, Martina 1 Kahle, Thomas 1 Kogan, Roman 1 Lasserre, Jean-Bernard 1 Laurent, Monique 1 Legerský, Jan 1 Lindberg, Julia 1 Mangolte, Frédéric 1 Maraj, Aida 1 McCrory, Clint G. 1 Mehta, Dhagash 1 Moulahi, Samir 1 Mourrain, Bernard 1 Müller, Stefan 1 Nicholson, Nathan L. 1 Niemerg, Matthew E. 1 Nisse, Mounir 1 Parusiński, Adam 1 Pébay, Philippe P. 1 Podol’skiĭ, Vladimir Vladimirovich 1 Postinghel, Elisa 1 Prince, Thomas M. 1 Regan, Margaret H. ...and 33 more Authors all top 5 Cited in 57 Serials 7 Journal of Symbolic Computation 6 Discrete & Computational Geometry 5 Advances in Mathematics 4 Bulletin of Mathematical Biology 4 Foundations of Computational Mathematics 3 Journal of Algebra 3 Journal of Pure and Applied Algebra 3 SIAM Journal on Applied Dynamical Systems 3 SIAM Journal on Applied Algebra and Geometry 2 Journal of Mathematical Biology 2 Geometriae Dedicata 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Advances in Applied Mathematics 2 Arnold Mathematical Journal 1 Mathematical Biosciences 1 Mathematics of Computation 1 Beiträge zur Algebra und Geometrie 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Collectanea Mathematica 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 SIAM Journal on Computing 1 Theoretical Computer Science 1 Journal of Complexity 1 Journal of the Ramanujan Mathematical Society 1 The Journal of Geometric Analysis 1 Numerical Algorithms 1 Automation and Remote Control 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Dynamics and Differential Equations 1 Applicable Algebra in Engineering, Communication and Computing 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Journal of Algebraic Combinatorics 1 The Electronic Journal of Combinatorics 1 Abstract and Applied Analysis 1 Annals of Combinatorics 1 Revista Matemática Complutense 1 Far East Journal of Applied Mathematics 1 Advances in Geometry 1 Journal of Algebra and its Applications 1 Mathematical Biosciences and Engineering 1 Journal of Topology 1 Involve 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Numerical Algebra, Control and Optimization 1 S\(\vec{\text{e}}\)MA Journal 1 European Journal of Mathematics all top 5 Cited in 25 Fields 66 Algebraic geometry (14-XX) 27 Convex and discrete geometry (52-XX) 19 Biology and other natural sciences (92-XX) 16 Commutative algebra (13-XX) 12 Field theory and polynomials (12-XX) 12 Numerical analysis (65-XX) 8 Computer science (68-XX) 7 Ordinary differential equations (34-XX) 7 Operations research, mathematical programming (90-XX) 6 Combinatorics (05-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 Algebraic topology (55-XX) 3 Statistics (62-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Citations by Year