Frédéric Bihan

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All published works

Action	Title	Year	Authors
+ PDF Chat	Sparse systems with high local multiplicity	2024	Frédéric Bihan Alicia Dickenstein Jens Forsgård
+	Quickly Computing Isotopy Type for Exponential Sums over Circuits (Extended Abstract)	2023	Frédéric Bihan Erika Croy Weixun Deng Kaitlyn Phillipson Robert J. Rennie J. Maurice Rojas
+	New bounds for the number of connected components of fewnomial hypersurfaces	2022	Frédéric Bihan Tristan Humbert Sébastien Tavenas
+	Optimal Descartes’ rule of signs for systems supported on circuits	2021	Frédéric Bihan Alicia Dickenstein Jens Forsgård
+	Optimal Descartes' Rule of Signs for Circuits.	2020	Frédéric Bihan Alicia Dickenstein Jens Forsgård
+	Sign conditions for the existence of at least one positive solution of a sparse polynomial system	2020	Frédéric Bihan Alicia Dickenstein Magalí Giaroli
+	Optimal Descartes' Rule of Signs for Circuits	2020	Frédéric Bihan Alicia Dickenstein Jens Forsgård
+	Lower bounds for positive roots and regions of multistationarity in chemical reaction networks	2019	Frédéric Bihan Alicia Dickenstein Magalí Giaroli
+	Sign conditions for the existence of at least one positive solution of a sparse polynomial system	2019	Frédéric Bihan Alicia Dickenstein Magalí Giaroli
+ PDF Chat	Criteria for strict monotonicity of the mixed volume of convex polytopes	2019	Frédéric Bihan Ivan Soprunov
+	Sign conditions for the existence of at least one positive solution of a sparse polynomial system	2019	Frédéric Bihan Alicia Dickenstein Magalí Giaroli
+ PDF Chat	Regions of multistationarity in cascades of Goldbeter–Koshland loops	2018	Magalí Giaroli Frédéric Bihan Alicia Dickenstein
+	Regions of multistationarity in cascades of Goldbeter-Koshland loops	2018	Magalí Giaroli Frédéric Bihan Alicia Dickenstein
+	Lower bounds for positive roots and regions of multistationarity in chemical reaction networks.	2018	Frédéric Bihan Alicia Dickenstein Magalí Giaroli
+ PDF Chat	A Polyhedral Method for Sparse Systems with Many Positive Solutions	2018	Frédéric Bihan Francisco Santos Pierre-Jean Spaenlehauer
+	Regions of multistationarity in cascades of Goldbeter-Koshland loops	2018	Magalí Giaroli Frédéric Bihan Alicia Dickenstein
+	Lower bounds for positive roots and regions of multistationarity in chemical reaction networks	2018	Frédéric Bihan Alicia Dickenstein Magalí Giaroli
+	Criteria for strict monotonicity of the mixed volume of convex polytopes	2017	Frédéric Bihan Ivan Soprunov
+	A sharp bound on the number of real intersection points of a sparse plane curve with a line	2017	Frédéric Bihan Boulos El Hilany
+	Criteria for strict monotonicity of the mixed volume of convex polytopes	2017	Frédéric Bihan Ivan Soprunov
+ PDF Chat	Descartes’ Rule of Signs for Polynomial Systems Supported on Circuits	2016	Frédéric Bihan Alicia Dickenstein
+ PDF Chat	Irrational Mixed Decomposition and Sharp Fewnomial Bounds for Tropical Polynomial Systems	2016	Frédéric Bihan
+	Descartes' Rule of Signs for Polynomial Systems supported on Circuits	2016	Frédéric Bihan Alicia Dickenstein
+	Sparse Polynomial Systems with many Positive Solutions from Bipartite Simplicial Complexes	2015	Frédéric Bihan Pierre-Jean Spaenlehauer
+	A sharp bound on the number of real intersection points of a sparse plane curve with a line	2015	Frédéric Bihan Boulos El Hilany
+	Maximally positive polynomial systems supported on circuits	2014	Frédéric Bihan
+	Intersection multiplicity numbers between tropical hypersurfaces	2013	Benoît Bertrand Frédéric Bihan
+ PDF Chat	Fewnomial bounds for completely mixed polynomial systems	2011	Frédéric Bihan Frank Sottile
+ PDF Chat	Faster real feasibility via circuit discriminants	2009	Frédéric Bihan J. Maurice Rojas Casey E. Stella
+ PDF Chat	Betti number bounds for fewnomial hypersurfaces via stratified Morse theory	2009	Frédéric Bihan Frank Sottile
+	Intersection numbers in tropical geometry	2009	Frédéric Bihan
+	Faster Real Feasibility via Circuit Discriminants	2009	Frédéric Bihan J. Maurice Rojas Casey E. Stella
+	Fewnomial bounds for completely mixed polynomial systems	2009	Frédéric Bihan Frank Sottile
+	Faster Real Feasibility via Circuit Discriminants	2009	Frédéric Bihan J. Maurice Rojas Casey E. Stella
+ PDF Chat	Gale duality for complete intersection	2008	Frédéric Bihan Frank Sottile
+ PDF Chat	Gale duality for complete intersection	2008	Frédéric Bihan Frank Sottile
+	Bounds on the topology of fewnomial varieties	2008	Frédéric Bihan
+ PDF Chat	Gale duality for complete intersections	2008	Frédéric Bihan Frank Sottile
+ PDF Chat	On the sharpness of fewnomial bounds and the number of components of fewnomial hypersurfaces	2008	Frédéric Bihan J. Maurice Rojast Frank Sottile
+	Betti number bounds for fewnomial hypersurfaces via stratified Morse theory	2008	Frédéric Bihan Frank Sottile
+	Bounds on the Number of Real Solutions to Polynomial Equations	2007	David Bates Frédéric Bihan Frank Sottile
+ PDF Chat	Topological types of real regular Jacobian elliptic surfaces	2007	Frédéric Bihan Frédéric Mangolte
+	New Fewnomial Bounds	2007	Frédéric Bihan
+	New Fewnomial Bounds	2007	Frédéric Bihan
+	New Fewnomial Bounds	2007	Frédéric Bihan
+	New Fewnomial Bounds	2007	Frédéric Bihan
+	New Fewnomial Bounds	2007	Frédéric Bihan
+	New Fewnomial Bounds	2007	Frédéric Bihan
+	New Fewnomial Bounds	2007	Frédéric Bihan
+	New Fewnomial Bounds	2007	Frédéric Bihan
+	Polynomial systems supported on circuits and dessins d'enfants	2007	Frédéric Bihan
+	Euler Characteristic of real nondegenerate tropical complete intersections	2007	Benoît Bertrand Frédéric Bihan
+	Gale duality for complete intersections	2007	Frédéric Bihan Frank Sottile
+ PDF Chat	New Fewnomial Upper Bounds from Gale Dual Polynomial Systems	2007	Frédéric Bihan Frank Sottile
+	Bounds on the number of real solutions to polynomial equations	2007	Daniel J. Bates Frédéric Bihan Frank Sottile
+ PDF Chat	Is Every Toric Variety an M-variety?	2006	Frédéric Bihan Matthias Franz Clint McCrory Joost van Hamel
+	Is Every Toric Variety an M-Variety?	2006	Frédéric Bihan Matthias Franz Clint McCrory Joost van Bihan
+ PDF Chat	Polynomial systems with few real zeroes	2006	Benoît Bertrand Frédéric Bihan Frank Sottile
+ PDF Chat	Polynomial systems with few real zeroes	2006	Benoît Bertrand Frédéric Bihan Frank Sottile
+	Real algebraic surfaces with many connected components	2006	Frédéric Bihan
+ PDF Chat	Is every toric variety an M-variety ?	2006	Frédéric Bihan Matthias Franz Clint McCrory Joost van Hamel
+	Systèmes polynomiaux supportés par un circuit et dessins d'enfants	2005	Frédéric Bihan
+	Nombre de solutions réelles de systèmes polynomiaux creux	2005	Frédéric Bihan
+	Polynomial systems with few real zeroes	2005	Benoît Bertrand Frédéric Bihan Frank Sottile
+	Polynomial systems supported on circuits and dessins d'enfants	2005	Frédéric Bihan
+	First Steps in Algorithmic Fewnomial Theory	2004	Frédéric Bihan J. Maurice Rojas Casey E. Stella
+ PDF Chat	Asymptotic behaviour of Betti numbers of real algebraic surfaces	2003	Frédéric Bihan
+	Asymptotiques de nombres de Betti d'hypersurfaces projectives réelles	2003	Frédéric Bihan
+	Viro Method for the Construction of Real Complete Intersections	2002	Frédéric Bihan
+ PDF Chat	Une sextique de l'espace projectif réel avec un grand nombre d'anses	2001	Frédéric Bihan
+	Une quintique numérique réelle dont le premier nombre de Betti est maximal	1999	Frédéric Bihan
+	Constructions combinatoires de surfaces algebriques reelles	1998	Frédéric Bihan

Common Coauthors

Coauthor	Papers Together
Alicia Dickenstein	15
Frank Sottile	15
Magalí Giaroli	9
J. Maurice Rojas	5
Casey E. Stella	4
Jens Forsgård	4
Benoît Bertrand	4
Clint McCrory	3
Ivan Soprunov	3
Matthias Franz	3
Joost van Hamel	2
Pierre-Jean Spaenlehauer	2
Boulos El Hilany	2
J. Maurice Rojast	1
Kaitlyn Phillipson	1
David Bates	1
Weixun Deng	1
Tristan Humbert	1
Daniel J. Bates	1
Erika Croy	1
Francisco Santos	1
Joost van Bihan	1
Benoît Bertrand	1
Robert J. Rennie	1
Frédéric Mangolte	1
Sébastien Tavenas	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	New Fewnomial Upper Bounds from Gale Dual Polynomial Systems	2007	Frédéric Bihan Frank Sottile	13
+	Polynomial systems supported on circuits and dessins d'enfants	2007	Frédéric Bihan	12
+	Viro's theorem for complete intersections	1994	Bernd Sturmfels	11
+ PDF Chat	Sign Conditions for Injectivity of Generalized Polynomial Maps with Applications to Chemical Reaction Networks and Real Algebraic Geometry	2015	Stefan C. Müller Elisenda Feliu Georg Regensburger Carsten Conradi Anne Shiu Alicia Dickenstein	9
+ PDF Chat	Counting Real Connected Components of Trinomial Curve Intersections and m -nomial Hypersurfaces	2003	Tien-Yien Li J. Maurice Rojas Xiaoshen Wang	9
+ PDF Chat	None	1994	Bernd Sturmfels	9
+ PDF Chat	Gale duality for complete intersections	2008	Frédéric Bihan Frank Sottile	9
+ PDF Chat	Polynomial systems with few real zeroes	2006	Benoît Bertrand Frédéric Bihan Frank Sottile	8
+	Viro Method for the Construction of Real Complete Intersections	2002	Frédéric Bihan	8
+ PDF Chat	Identifying parameter regions for multistationarity	2017	Carsten Conradi Elisenda Feliu Maya Mincheva Carsten Wiuf	6
+	Newton polyhedra and the genus of complete intersections	1978	Askold Khovanskiĭ	6
+ PDF Chat	Real Solutions to Equations from Geometry	2011	Frank Sottile	5
+ PDF Chat	A Polyhedral Method for Sparse Systems with Many Positive Solutions	2018	Frédéric Bihan Francisco Santos Pierre-Jean Spaenlehauer	5
+ PDF Chat	Fewnomial systems with many roots, and an Adelic Tau Conjecture	2013	Kaitlyn Phillipson J. Maurice Rojas	5
+	The number of roots of a system of equations	1979	D. N. Bernshtein	5
+ PDF Chat	Lower bounds for real solutions to sparse polynomial systems	2005	Jenya Soprunova Frank Sottile	5
+ PDF Chat	The Cayley Trick, lifting subdivisions and the Bohne–Dress theorem on zonotopal tilings	2000	Birkett Huber Jörg Rambau Francisco Santos	5
+	Gröbner bases and convex polytopes	1995	Bernd Sturmfels	4
+ PDF Chat	The Inheritance of Nondegenerate Multistationarity in Chemical Reaction Networks	2018	Murad Banaji Casian Pantea	4
+ PDF Chat	Descartes’ Rule of Signs for Polynomial Systems Supported on Circuits	2016	Frédéric Bihan Alicia Dickenstein	4
+ PDF Chat	On the sharpness of fewnomial bounds and the number of components of fewnomial hypersurfaces	2008	Frédéric Bihan J. Maurice Rojast Frank Sottile	4
+ PDF Chat	Subnetwork analysis for multistationarity in mass action kinetics	2008	Dietrich Flockerzi Carsten Conradi	4
+ PDF Chat	First steps in tropical geometry	2005	Jürgen Richter-Gebert Bernd Sturmfels Thorsten Theobald	4
+ PDF Chat	Riemann existence theorem and construction of real algebraic curves	2003	S. Yu. Orevkov	4
+ PDF Chat	Multistationarity in Sequential Distributed Multisite Phosphorylation Networks	2013	Katharina Holstein Dietrich Flockerzi Carsten Conradi	4
+ PDF Chat	Simplifying biochemical models with intermediate species	2013	Elisenda Feliu Carsten Wiuf	4
+	Introduction to Toric Varieties.	1993	William Fulton	4
+	Bernstein's second theorem and Viro's method for sparse polynomial systems in chemistry	2004	Karin Gatermann Matthias Wolfrum	4
+ PDF Chat	Atoms of multistationarity in chemical reaction networks	2012	Badal Joshi Anne Shiu	4
+	A Source Book in Mathematics, 1200-1800	2014	David E. Smith	3
+ PDF Chat	A Polyhedral Method for Solving Sparse Polynomial Systems	1995	Birkett Huber Bernd Sturmfels	3
+	On the number of real roots of a sparse polynomial system	1995	Bernd Sturmfels	3
+	Combinatorics and Commutative Algebra	1996	Richard P. Stanley	3
+	Bounds on the Number of Real Solutions to Polynomial Equations	2007	David Bates Frédéric Bihan Frank Sottile	3
+ PDF Chat	TOPOLOGICAL CLASSIFICATION OF GENERIC REAL RATIONAL FUNCTIONS	2002	Sergei Natanzon Boris Shapiro Alek Vainshtein	3
+	Patchworking real algebraic varieties	2006	Oleg Viro	3
+	Tropical Algebraic Geometry	2009	Illia Itenberg Grigory Mikhalkin Eugeniĭ Shustin	3
+	Tropical Geometry and its applications	2006	Grigory Mikhalkin	3
+	Characterization of Circuits Supporting Polynomial Systems with the Maximal Number of Positive Solutions	2017	Boulos El Hilany	3
+	Maximally positive polynomial systems supported on circuits	2014	Frédéric Bihan	3
+ PDF Chat	Real plane algebraic curves with asymptotically maximal number of even ovals	2006	Erwan Brugallé	3
+ PDF Chat	Betti number bounds for fewnomial hypersurfaces via stratified Morse theory	2009	Frédéric Bihan Frank Sottile	3
+	Hilbert's sixteenth problem	1978	George Wilson	3
+ PDF Chat	La classe d'homologie fondamentale d'un espace analytique	1961	Armand Borel André Haefliger	2
+	Color or cover	2015	Ivan Izmestiev	2
+	The tropical Grassmannian	2004	David E Speyer Bernd Sturmfels	2
+	The mod2 cohomology of fixed point sets of anti-symplectic involutions	2003	Daniel K. Biss Victor Guillemin Tara S. Holm	2
+	Homology and Cohomology of Toric Varieties	1998	Arno Jordan	2
+	Mixed matrices and binomial ideals	1996	Klaus G. Fischer Jay Shapiro	2
+ PDF Chat	Commutative algebra with a view toward algebraic geometry	1996	David Eisenbud	2