Constructing polynomial systems with many positive solutions using tropical geometry B El Hilany Revista Matemática Complutense 31, 525-544, 2018 | 9 | 2018 |
Counting isolated points outside the image of a polynomial map B El Hilany Advances in Geometry 22 (3), 355-374, 2022 | 7 | 2022 |
A sharp bound on the number of real intersection points of a sparse plane curve with a line F Bihan, B El Hilany Journal of Symbolic Computation 81, 88-96, 2017 | 7 | 2017 |
Signed counts of real simple rational functions B El Hilany, J Rau Journal of Algebraic Combinatorics 52 (3), 369-403, 2020 | 4 | 2020 |
Describing the Jelonek set of polynomial maps via Newton polytopes B El Hilany arXiv preprint arXiv:1909.07016, 2019 | 4 | 2019 |
Characterization of circuits supporting polynomial systems with the maximal number of positive solutions B El Hilany Discrete & Computational Geometry 58, 355-370, 2017 | 3 | 2017 |
Coupler curves of moving graphs and counting realizations of rigid graphs G Grasegger, B El Hilany, N Lubbes Mathematics of Computation 93 (345), 459-504, 2024 | 2 | 2024 |
Géométrie tropicale et systèmes polynomiaux B El Hilany Université Grenoble Alpes (ComUE), 2016 | 2 | 2016 |
The Tropical Non-Properness Set of a Polynomial Map B El Hilany Discrete & Computational Geometry, 1-26, 2024 | 1 | 2024 |
Computing the non-properness set of real polynomial maps in the plane B El Hilany, E Tsigaridas Vietnam Journal of Mathematics, 1-31, 2023 | 1 | 2023 |
The tropical discriminant of a polynomial map on a plane B El Hilany arXiv preprint arXiv:2202.05052, 2022 | 1 | 2022 |
A note on polynomial maps having fibers of maximal dimension B El Hilany Colloquium Mathematicum 166, 129-136, 2021 | 1 | 2021 |
Tropical geometry and polynomial systems B El Hilany Université Grenoble Alpes, 2016 | 1 | 2016 |
Stratification of Projection Maps From Toric Varieties B El Hilany, M Helmer, E Tsigaridas arXiv preprint arXiv:2408.08991, 2024 | | 2024 |
Bounds on the infimum of polynomials over a generic semi-algebraic set using asymptotic critical values B El Hilany, E Tsigaridas arXiv preprint arXiv:2407.17093, 2024 | | 2024 |
The polyhedral type of a polynomial map on the plane B El Hilany, K Rose arXiv preprint arXiv:2402.08993, 2024 | | 2024 |
Improved fewnomial upper bounds from Wronskians and dessins d'enfant B El Hilany, S Tavenas ArXiv: 2409.01651, 2024 | | 2024 |