Howard University

Dr. Bourama Toni, Chair
Howard University
College of Arts and Sciences
Department of Mathematics
204 Academic Support Building B
Washington, DC 20059
(202) 806-6830

Faculty Office Hours

Jill McGowan, Ph.D.
Associate Professor

Department of Mathematics
Howard University
Washington DC 20059

ASB-B 205
ph: 202-806-6837
fax: 202-806-6831
personal web site: old page

Ph.D. (1991) University of Maryland at College Park

Research Interests: Differential Geometry

My research has primarily involved actions by Lie groups on spheres, the resulting orbit spaces, and the computation of several invariants of those orbit spaces, including their diameters and q-extents. These investigations necessitate the use of differential geometry, Lie group theory, representation theory, and Lie algebras. Currently, I am working with Catherine Searle to classify spherical orbit spaces of dimension three.

Selected Publications

  • The Diameters of 3-Sphere Quotients Differential Geometry and its Applications, December 2008, Pages 1-13 (with W. Dunbar, S. Greenwald, C. Searle).
  • The Effect of Learning Communities on Achievement in STEM Fields for African Americans Across Four Campuses, Journal of Negro Education, July 2008 (with O. Taylor, J. McGowan, S. Alston).
  • Evaluating the Impact of a Faculty Learning Community on STEM Teaching and Learning, Journal of Negro Education, July 2008 (with T. Smith, J. McGowan, A. Allen, W. Johnson II, L. Dickson, M. Ali and M. Peters).
  • How Tightly Can You Fold A Sphere? Differential Geometry and its Applications, Volume 22, Issue 1 , January 2005, Pages 81-104 (with C. Searle).
  • An Introduction to Spherical Orbit Spaces, International Journal of Mathematics and Mathematical Sciences, vol. 32:8, 453-469, 2002 (with C. Searle).
  • Algunos Ejemplos de Espacios Orbitales Esfericos de Cohomogeneidad 2, Divulgaciones Matematicas, vol. 9, no.1, 2001, 1-23 (with C. Searle).
  • Oblique and Biorthogonal Multi-wavelet Bases with Fast-Filtering Algorithms, Wavelet Applications in Signal and Image Processing III, vol. 2569, 15-26, 1995 (with A. Aldroubi).
  • The Diameter Function on the Space of Space Forms, Compositio Mathematica, 87, 79-83, 1993.
Department of Mathematics College of Arts and Sciences