Boulos El Hilany

Papers:

 

• Counting isolated points outside the image of a polynomial map
  Adv. Geom. (2022), doi:10.1515/advgeom-2021-0042
   

•  A note on generic polynomial maps having a fiber of maximal dimension
  Colloq. Math. - IMPAN Journals (2021), doi.org/10.4064/cm8162-8-2020.
   

• with Johannes Rau,
  Signed counts of real simple rational functions
  J. Algebr. Comb. (2019), doi.org/10.1007/s10801-019-00906-6.
   

•  Constructing polynomial systems with many positive solutions using tropical geometry
  Rev. Mat. Complut. (2018), Vol. 31, Issue. 2, pp. 525–-544, doi.org/10.1007/s13163-017-0254-1.
   

• Characterization of circuits supporting polynomial systems with the maximal number of positive solutions
  Discrete Comput. Geom. (2017), Vol. 58, No. 2, pp. 355--370, doi.org/10.1007/s00454-017-9897-4.
   

• with Frédéric Bihan, 
  A sharp bound on the number of real intersection points of a sparse plane curve with a line
  J. Symbolic Comput. (2017), Vol. 81, pp. 88--96, doi.org/10.1016/j.jsc.2016.12.003.
   

Preprints:

 

• The tropical non-properness set of a polynomial map
  Arxiv Preprint: 2207.00989
   

• with Georg Grasegger and Niels Lubbes,
  Coupler curves of moving graphs and counting realizations of rigid graphs
  Arxiv Preprint: 2205.02612
   

• The tropical discriminant of a polynomial map on a plane
  ArXiv Preprint: 2202.05052
   

• with Elias Tsigaridas,
  Computing efficiently the non-properness set of polynomial maps on the plane
  ArXiv Preprint: 2101.05245
   

•  Describing the Jelonek set of polynomial maps via Newton polytopes
  ArXiv Preprint: 1909.07016
  
   

In preparation:

 

• with Elias Tsigaridas,
  Newton polytopes and generalized bifurcation sets for real polynomial functions

 

© 2022 boulos-elhilany.com

Address:

Dr. Boulos El Hilany

Office 426
Institut für Analysis und Algebra
AG Algebra, TU Braunschweig
Universitätsplatz 2, 38106 Braunschweig
Germany

 

 

E-mail:

boulos.hilani at gmail.com

b.el-hilany at tu-braunschweig.de