Research Interests: Riemannian Geometry, Differential Topology
Ph.D. Thesis:
J. Borzellino. Riemannian Geometry of Orbifolds, Spring 1992, Ph.D. Thesis UCLA. (PDF)
Publications:
- J. Borzellino. Orbifolds of Maximal Diameter, Indiana Univ. Math. J. 42 (1993), 37--53. (PDF)
- J. Borzellino. Pinching Theorems for Footballs and Teardrops of Revolution, Bulletin of the Australian Mathematical Society, 49 (1994), 353--364. (PDF)
- J. Borzellino and S. Zhu. The Splitting Theorem for Orbifolds, Illinois Journal of Mathematics, 38 (1994), 679--691. (PDF)
- J. Borzellino and B. Lorica. The Closed Geodesic Problem for Compact Riemannian 2-Orbifolds, Pacific Journal of Mathematics, 175 (1996), 39-46. (PDF)
- J. Borzellino. Orbifolds With Lower Ricci Curvature Bounds, Proceedings of the American Mathematical Society, 125(10) (1997), 3011-3018. (PDF)
- J. Borzellino. Whose Limit is it Anyway?, PRiMUS (Problems, Resources, and Issues in Mathematics Undergraduate Studies), XI (2001) no. 3, 265274. (PDF)
- J. Borzellino and V. Brunsden. Determination of the Topological Structure of an Orbifold by its Group of Orbifold Diffeomorphisms, Journal of Lie Theory, 13 (2003) no. 2, 311327. (PDF)
- J. Borzellino and V. Brunsden. Orbifold Homeomorphism and Diffeomorphism Groups, in "Infinite Dimensional Lie Groups in Geometry and Representation Theory", World Scientific, (2002), 116137. (PDF)
- J. Borzellino, Christopher R. Jordan-Squire, Gregory C. Petrics and
D. Mark Sullivan. On the Existence of Infinitely Many Closed Geodesics on Orbifolds of Revolution, unpublished expository article arXiv:math/0602595 (2006). (PDF)
- J. Borzellino, Christopher R. Jordan-Squire, Gregory C. Petrics and
D. Mark Sullivan. Closed Geodesics on Orbifolds of Revolution, Houston Journal of Mathematics, 33 (2007) no. 4, 1011-1025. (PDF)
- J. Borzellino and V. Brunsden. A Manifold Structure for the Group of Orbifold Diffeomorphisms of a Smooth Orbifold, Journal of Lie Theory, 18 (2008) no. 4, 9791007. (PDF)
- J. Borzellino and V. Brunsden. The Stratified Structure of Spaces of Smooth Orbifold Mappings, Communications in Contemporary Mathematics, 15 (2013) no. 5, 37 pages. doi:10.1142/S0219199713500181. (PDF)
- J. Borzellino and M. Sherman. When is a Trigonometric Polynomial not a Trigonometric Polynomial?, The American Mathematical Monthly, 119 (2012) no. 5, 422-425. (PDF)
- J. Borzellino and V. Brunsden. Elementary Orbifold Differential Topology, Topology and its Applications, 159 (2012), 3583-3589. doi:10.1016/j.topol.2012.08.032. (PDF)
- J. Borzellino and V. Brunsden. On the Notions of Suborbifold and Orbifold Embedding, Algebraic & Geometric Topology, 15 (2015), 2789-2803. doi:10.2140/agt.2015.15.2789. (PDF)
- J. Borzellino and V. Brunsden. On the Inheritance of Orbifold Substructures, Topology and its Applications, 232 (2017), 176-182, doi:10.1016/j.topol.2017.10.005. (PDF)
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