Frédéric Bihan

477 total citations
27 papers, 159 citations indexed

About

Frédéric Bihan is a scholar working on Computational Theory and Mathematics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Frédéric Bihan has authored 27 papers receiving a total of 159 indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Computational Theory and Mathematics, 15 papers in Geometry and Topology and 12 papers in Algebra and Number Theory. Recurrent topics in Frédéric Bihan's work include Polynomial and algebraic computation (19 papers), Commutative Algebra and Its Applications (12 papers) and Algebraic Geometry and Number Theory (12 papers). Frédéric Bihan is often cited by papers focused on Polynomial and algebraic computation (19 papers), Commutative Algebra and Its Applications (12 papers) and Algebraic Geometry and Number Theory (12 papers). Frédéric Bihan collaborates with scholars based in France, United States and Argentina. Frédéric Bihan's co-authors include Frank Sottile, Alicia Dickenstein, Benoît Bertrand, J. Maurice Rojas, David Bates, Matthias Franz and Clint McCrory and has published in prestigious journals such as Advances in Mathematics, Journal of Mathematical Biology and Proceedings of the American Mathematical Society.

In The Last Decade

Frédéric Bihan

24 papers receiving 140 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Frédéric Bihan France	9	121	71	47	35	22	27	159
Roberto La Scala Italy	8	92 0.8×	123 1.7×	132 2.8×	12 0.3×	23 1.0×	23	178
Ágnes Szántó United States	9	135 1.1×	69 1.0×	56 1.2×	54 1.5×	20 0.9×	31	160
Ihsen Yengui Tunisia	9	137 1.1×	105 1.5×	163 3.5×	25 0.7×	26 1.2×	36	201
Uwe Storch Germany	9	101 0.8×	181 2.5×	163 3.5×	20 0.6×	8 0.4×	29	272
S. Encinas Spain	6	95 0.8×	160 2.3×	90 1.9×	14 0.4×	9 0.4×	13	176
Damien Roy Canada	10	129 1.1×	143 2.0×	89 1.9×	10 0.3×	28 1.3×	38	273
Aaron Lauve United States	7	41 0.3×	73 1.0×	66 1.4×	2 0.1×	27 1.2×	21	132
Kevin G. Hare Canada	8	90 0.7×	41 0.6×	39 0.8×	7 0.2×	34 1.5×	43	170
Hannah Markwig Germany	9	235 1.9×	240 3.4×	105 2.2×	20 0.6×	6 0.3×	30	283
François Boulier France	5	57 0.5×	25 0.4×	25 0.5×	17 0.5×	8 0.4×	27	101

Countries citing papers authored by Frédéric Bihan

Since Specialization

Citations

This map shows the geographic impact of Frédéric Bihan's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Frédéric Bihan with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Frédéric Bihan more than expected).

Fields of papers citing papers by Frédéric Bihan

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Frédéric Bihan. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Frédéric Bihan. The network helps show where Frédéric Bihan may publish in the future.

Co-authorship network of co-authors of Frédéric Bihan

This figure shows the co-authorship network connecting the top 25 collaborators of Frédéric Bihan. A scholar is included among the top collaborators of Frédéric Bihan based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Frédéric Bihan. Frédéric Bihan is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Bihan, Frédéric, et al.. (2021). Optimal Descartes’ rule of signs for systems supported on circuits. Mathematische Annalen. 381(3-4). 1283–1307. 2 indexed citations

Bihan, Frédéric, et al.. (2019). Sign conditions for the existence of at least one positive solution of a\n sparse polynomial system. arXiv (Cornell University). 3 indexed citations

Bihan, Frédéric, et al.. (2018). Lower bounds for positive roots and regions of multistationarity in\n chemical reaction networks. arXiv (Cornell University). 14 indexed citations

Bihan, Frédéric, et al.. (2018). Regions of multistationarity in cascades of Goldbeter–Koshland loops. Journal of Mathematical Biology. 78(4). 1115–1145. 9 indexed citations

Bihan, Frédéric, et al.. (2017). Criteria for Strict Monotonicity of the Mixed Volume of Convex Polytopes. EngagedScholarship @ Cleveland State University (Cleveland State University). 5 indexed citations

Bihan, Frédéric, et al.. (2017). A sharp bound on the number of real intersection points of a sparse plane curve with a line. Journal of Symbolic Computation. 81. 88–96.

Bihan, Frédéric. (2016). Irrational Mixed Decomposition and Sharp Fewnomial Bounds for Tropical Polynomial Systems. Discrete & Computational Geometry. 55(4). 907–933. 2 indexed citations

Bihan, Frédéric. (2014). Maximally positive polynomial systems supported on circuits. Journal of Symbolic Computation. 68. 61–74. 5 indexed citations

Bihan, Frédéric & Frank Sottile. (2011). Fewnomial bounds for completely mixed polynomial systems. Advances in Geometry. 11(3). 541–556. 3 indexed citations

10.

Bihan, Frédéric & Frank Sottile. (2009). Betti number bounds for fewnomial hypersurfaces via stratified Morse theory. Proceedings of the American Mathematical Society. 137(9). 2825–2833. 2 indexed citations

11.

Bihan, Frédéric, et al.. (2009). Faster real feasibility via circuit discriminants. 39–46. 7 indexed citations

12.

Bihan, Frédéric & Frank Sottile. (2008). Gale duality for complete intersections. Annales de l’institut Fourier. 58(3). 877–891. 9 indexed citations

13.

Bihan, Frédéric, et al.. (2007). New Complexity Bounds for Certain Real Fewnomial Zero Sets (Extended Abstract). 1 indexed citations

14.

Bihan, Frédéric, et al.. (2006). First Steps in Algorithmic Real Fewnomial Theory. 2 indexed citations

15.

Bertrand, Benoît, Frédéric Bihan, & Frank Sottile. (2006). Polynomial systems with few real zeroes. Mathematische Zeitschrift. 253(2). 361–385. 12 indexed citations

16.

Bihan, Frédéric, et al.. (2006). Is Every Toric Variety an M-Variety?. manuscripta mathematica. 120(2). 217–232. 4 indexed citations

17.

Bihan, Frédéric, et al.. (2006). Is Every Toric Variety an M-variety?. manuscripta mathematica. 120(4). 469–469. 6 indexed citations

18.

Bihan, Frédéric. (2003). Asymptotic behaviour of Betti numbers of real algebraic surfaces. Commentarii Mathematici Helvetici. 78(2). 227–244. 5 indexed citations

19.

Bihan, Frédéric. (2002). Viro Method for the Construction of Real Complete Intersections. Advances in Mathematics. 169(2). 177–186. 9 indexed citations

20.

Bihan, Frédéric. (2001). Une sextique de l'espace projectif réel avec un grand nombre d'anses. Revista Matemática Complutense. 14(2). 2 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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