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Jill McGowan, Ph.D.
Associate Professor
Address
Department of Mathematics
Howard University
Washington DC 20059
Office
ASB-B 205
ph: 202-806-6837
fax: 202-806-6831
e-mail: jmcgowan@howard.edu
personal web site: old page
Education
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.
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