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Assoc. Professor Jill McGowan, Ph.D.

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, and, in another project, we have joined Sarah Greenberg and William Dunbar in the investigation of orbit spaces resulting from finite group actions on S3.

Selected Publications:

• 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 Matem‡ticas, 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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