Dr Nelly Villamizar

Associate Professor, Mathematics
Office - 303
Third Floor
Computational Foundry
Bay Campus
Available For Postgraduate Supervision


I am an Associate Professor in the Department of Mathematics at Swansea University. My research interests are applied algebraic geometry, and commutative algebra, in particular, their applications for solving problems arising in geometric modeling and Computer Aided Geometric Design (CAGD). Previously, from 2013 to 2017, I was a Postdoctoral Researcher in the Group of Symbolic Computation at RICAM, in Linz, Austria.

Website: https://sites.google.com/site/nvillami/

Areas Of Expertise

  • Applied Algebraic Geometry
  • Commutative Algebra
  • Spline Approximation
  • Algebraic Spline Geometry
  • Computer Aided Geometric Design

Career Highlights

Teaching Interests

MA-233 Projective Geometry: This module gives an introduction to various properties of projective geometry. It aims at strengthening the understanding of linear algebra by demonstrating its geometrical significance, while also pointing towards more advanced algebraic geometry.

MA-231 Advanced Geometry: This module covers conics sections, projective geometry as well as problems in non-euclidean geometry.

MA-312 Higher Algebra: This module approaches the theory of algebraic modules, exact sequences, and classification of abelian groups. It also introduces categories as a language and unifying force in modern mathematics.

MA-212 Groups and Rings:  This module approaches the theory of groups, rings and modules as abstract algebraic objects.

Research Award Highlights Collaborations