Kristopher Tapp
Department of Mathematics, Saint Joseph's University, 5600 City Ave., Philadelphia, PA 19131, ktapp (at) sju.edu
Expository Works:
Symmetry: A Mathematical Exploration, Springer, 2012, 215 pages. Available from Springer or Amazon or elsewhere. The Instructor Resource Page now includes PowerPoint lectures.
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Matrix Groups for Undergraduates, American Mathematics Society, Student Math Library Series, 2005, 166 pages. Availble from Amazon. A supplementary 10th chapter on roots is available now, and will be included in an eventual new edition of the book.
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Review of "Differential Geometry and its Applications", American Mathematical Monthly, Vol. 116, No. 4, April 2009, pp. 375-377. |
Research publications and preprints:
| Rigidity for Odd-Dimensional Souls, Geometry and Topology, to appear. |
| Metrics with Nonnegative Curvature on S2xR4, Annals of Global Analysis and Geometry, to appear. |
Totally Geodesic Foliations and Doubly Ruled Surfaces in a Compact Lie Group, with Marius Munteanu, Proc. Amer. Math. Soc., Vol. 139, No. 11 (2011), 4121-4135. |
Homogeneous metrics with nonnegative curvature, with Lorenz Schwachhöfer, Journal of Geometric Analysis, Vol. 19, No. 4 (2009), 929-943. |
Cohomogeneity one disk bundles with normal homogeneous collars, with Lorenz Schwachhöfer, Proceedings of the London Mathematical Society, Vol. 99, no. 3 (2009), 609-632. |
Flats in Riemannian Submersions from Lie groups, Asian Journal of Mathematics, Vol. 13, No. 4 (2009), 459-464. |
Nonnegatively curved vector bundles with large normal holonomy groups, Proc. Amer. Math. Soc., Vol. 136, No. 1 (2008), 295-300. |
Invariant Metrics with Nonnegative Curvature on SO(4) and other Lie groups, with Jack Huizenga, Michigan Math. Journal, Vol. 55, Issue 3 (2007), 609-630. |
Invariant Metrics with Nonnegative Curvature on Compact Lie Groups, with Brown, Finck, Spencer, Wu., Canadian Mathematical Bulletin, Vol. 50, No. 1 (2007), 24-34. |
Obstructions to Positive Curvature on Homogeneous Bundles, Geometriae Dedicata. 119, no. 1 (2006) 105-112. |
Nonnegatively and positively curved invariant metrics on circle bundles, with Shankar and Tuschmann. Proc. Amer. Math. Soc. 133 (2005) 2449-2459. |
Rigidity for nonnegatively curved metrics on S2xR3, Annals of Global Analysis and Geometry. 25 (2004) 43-58. |
Quasi-positive curvature on homogeneous bundles, Journal of Differential Geometry. 65 (2003) 273-287. |
Nonnegatively curved metrics on S2 x R2, with Detlef Gromoll Geometriae Dedicata 99 (2003), pp. 127-136. |
Conditions for Nonnegative Curvature on Vector Bundles and Sphere Bundles, Duke Math. Journal. 116, no. 1 (2003), 77-101. |
Finiteness Theorems for Submersions and Souls, Proc. Amer. Math. Soc., Vol. 130 (2002), no. 6, 1809--1817. |
Bounded Riemannian Submersions, Indiana University Mathematics Journal, Vol. 49, No. 2 (Summer) 2000, 637—654. |
Volume growth and holonomy in nonnegative curvature, Proc. Amer. Math. Soc. 127 (1999), no. 10, pp. 3035—3041. |
The Geometry of Open Manifolds of Nonnegative Curvature, Ph.D. Thesis, University of Pennsylvania, 1999. |
