Dr Nelly Villamizar

Senior Lecturer, Mathematics

Telephone number

+44 (0) 1792 295852

Research Links

Available For Postgraduate Supervision


I am a Senior Lecturer 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.

Areas Of Expertise

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

Career Highlights

Teaching Interests

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

MA-312 Higher Algebra: This course approaches the theory of groups, rings and modules as abstract algebraic objects. The course also introduces categories as a language and unifying force in modern mathematics.

Award Highlights

Teaching Award to Best Pedagogic Innovation of the Year. Swansea University Annual Teaching Awards, 2019.


Research project in "High order methods for computational engineering and data analysis," in collaboration with Dr. Angelos Mantzaflaris, Inria Sophia Antipolis, France.