Murugiah Muraleetharan
(Muralee)


Department of Mathematics
University of California
Riverside, CA 92521

Email: muralee@math.ucr.edu
Office: Surge 225
Phone: (951) 827-6482
Me

Research
  • My main research interests are in Differential Geometry, Partial Differential Equations, and Financial Mathematics.
Education
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 (JDE09-803).
  • 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, 121-146.
  • Evolution of Curves by Curvature Flow, Ph.D. Thesis, Lehigh University. May 2006.
  • Financial Mathematics: Hull-White model (pdf file), Financial Math project.
  • Analysis and implementation of parallel LU-decomposition 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, North-Holland, 106, 393-400.
  • Generalized Filters 1 (pdf file), with M. H. Burton and J. G. Garcia, Fuzzy Sets and Systems, North-Holland, 106, 275-284.
  • Generalization of Filters and Uniform Spaces (pdf file), M.Sc. Thesis, Rhodes University.
Professional Information
ACADEMIC SERVICE
  • The Putnam Problem Solving sessions for UCR undergraduates Fall 2010. See here for more information.

Last Updated 04/30/2010