Research
Weeks' research contributions have mainly been in the field of 3-manifolds and physical cosmology.
The Weeks manifold, discovered in 1985 by Weeks, is the hyperbolic 3-manifold with the minimum possible volume. Weeks has written various computer programs to assist in mathematical research and mathematical visualization. His SnapPea program is used to study hyperbolic 3-manifolds, while he has also developed interactive software to introduce these ideas to middle-school, high-school, and college students.
Weeks is particularly interested in using topology to understand the spatial universe. His book The Shape of Space: How to Visualize Surfaces and Three-dimensional Manifolds (Marcel Dekker, 1985, ISBN 0-8247-7437-X) explores the geometry and topology of low-dimensional manifolds. The second edition (2002, ISBN 0-8247-0709-5) explains some of his work in applying the material to cosmology.
Read more about this topic: Jeffrey Weeks (mathematician)
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