Former Member

Dr. Nelly Villamizar

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Nelly Villamizar

Peer Reviewed Journal Publication
  • Gallet, Matteo and Ranestad, Kristian and Villamizar, Nelly (2018) Varieties of apolar subschemes of toric surfaces. Arkiv foer Mathematik, Bd. 56 (1), S. 73-99.
  • Gallet, Matteo; Koutschan, Christoph; Li, Zijia; Regensburger, Georg; Schicho, Josef et al. [..] (2017, online: 2016) Planar Linkages Following a Prescribed Motion. Mathematics of Computation, Bd. 86, S. 473-506. (link)
  • Mantzaflaris, Angelos; Villamizar, Nelly; Juettler, Bert (2016, online: 2014) Characterization of bivariate hierarchical quartic box splines on a three-directional grid. Computer Aided Geometric Design. (link)
  • Mourrain, Bernard; Vidunas, Raimundas; Villamizar, Nelly (2016) Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology. Computer Aided Geometric Design, Bd. 45, S. 108-133. (link)
  • Villamizar, Nelly; Mantzaflaris, Angelos; Juettler, Bert (2016, online: 2015) Characterization of bivariate hierarchical quartic box splines on a three-directional grid. Computer Aided Geometric Design, Bd. 41, S. 1-15. (link)
  • Postinghel, Elisa; Sottile, Frank; Villamizar, Nelly (2015, online: 2015) Degenerations of real irrational toric varieties. Journal of the London Mathematical Society Second Edition, Bd. 92 (2), S. 223-241. (link)
  • Mourrain, Bernard; Villamizar, Nelly; INRIA Sophia Antipolis, ; RICAM, (2014) Bounds on the dimension of trivariate spline spaces: a homological approach. Mathematics in Computer Science, Bd. 8 (2), S. 157-174.
  • Albis, Victor; Villamizar, Nelly; Universidad Nacional de Colombia, ; RICAM, (2013) The abc conjecture. Lecturas Matematicas, Bd. 34 (1), S. 11-75.
  • Mourrain, Bernard; Villamizar, Nelly; INRIA Sophia Antipolis, ; RICAM, (2013) Homological techniques for the analysis of the dimension of triangular spline spaces. Journal of Symbolic Computation, Bd. 50, S. 564-577.

Conference Contribution: Publication in Proceedings
  • Mourrain, Bernard; Vidunas, Raimundas; Villamizar, Nelly (2016) Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology., Bd. 45, S. 108-133.
  • Villamizar, Nelly; RICAM (2014) Ring structure of splines on triangulations., S. 167-170. (link)

Contribution in Collection
  • Mourrain, Bernard; Villamizar, Nelly; INRIA Sophia Antipolis, ; RICAM, (2014) On the Dimension of Spline Spaces on Triangulations., SAGA - Advances in ShApes, Geometry, and Algebra; Switzerland: Springer, S. 177-197. (link)

Research Report
  • Matteo, Gallet; Ranestad, Kristian; Villamizar, Nelly (2016, online: 2016) Varieties of apolar subschemes of toric surfaces. (link)
  • Mourrain, Bernard; Vidunas, Raimundas; Villamizar, Nelly (2015, online: 2015) Geometrically continuous splines for surfaces of arbitrary topology. (link)
  • Gallet, Matteo; Koutschan, Christoph; Li, Zijia; Regensburger, Georg; Schicho, Josef et al. [..] (2015, online: 2015) Planar Linkages Following a Prescribed Motion. Bericht-Nr. 2015-03; RICAM: Linz. (link)