Publications and Preprints

Curve Shrinking Flow on a Riemannian manifold with underlying manifold evolves by Ricci
Flow in preparation.

Curvature flow of curves on a Riemannian manifold and its application to find closed geodesic in preparation.

Singularity Analysis of Evolving Curves using the Distance Comparison Principle (pdf file), with David
Johnson. Submitted for publication (JDE09803).

Singularity Formation of Embedded Curves Evolving on Surfaces by Curvature Flow (pdf file), with David
Johnson. Int. J. Pure Appl. Math. 61 (2010), no. 2, 121146.

Evolution of Curves by Curvature Flow, Ph.D. Thesis, Lehigh University. May 2006.

Financial Mathematics: HullWhite model (pdf file), Financial Math project.

Analysis and implementation of parallel LUdecomposition with different data layouts (pdf file), with E.
E. Santos, Preprint.

Generalized Filters 2 (pdf file), with M. H. Burton and J. G. Garcia, Fuzzy Sets and Systems,
NorthHolland, 106, 393400.

Generalized Filters 1 (pdf file), with M. H. Burton and J. G. Garcia, Fuzzy Sets and Systems,
NorthHolland, 106, 275284.

Generalization of Filters and Uniform Spaces (pdf file), M.Sc. Thesis, Rhodes University.
