Catherine Searle, Professor
Differential Geometry; PhD in Mathematics, University of Maryland at College Park, 1992
Contact
Email: searle@math.wichita.edu
webpage:
Phone: 316 978-3965
Office: 351 Jabara Hall
Research
Catherine Searle works in Differential Geometry with an emphasis on Comparison Geometry. Her research has been focussed on positively and non-negatively curved Riemannian manifolds, which admit "large" isometric group actions, where "large" can be defined in a number of ways. The existence of an isometric group action G on a metric space X leads to information about the space itself and can be used both as a tool to identify the space and as a means to improve the metric on that space. More recently she has been studying isometric group actions in these two contexts, namely, as a tool to identify both Riemannian manifolds and Alexandrov spaces with a lower curvature bound and as a tool to improve the metric on a Riemannian manifold with a G-invariant metric.
Selected Publications
1. , with J. Harvey, available at arXiv:1907.06702 (2019).
2. , with Z. Dong, and C. Escher, available at arXiv:1811.01493v1 (2018).
3. , with J. Harvey, available at arXiv:math.DG/1805.09362v1 (2018).
4. , with M. Jaramillo, R. Perales, P. Rajan, A. Siffert, accepted for publication in Communications in Analysis and Geometry, available at arXiv:1703.08195 (2017).
5. , with C. Escher, Journal of Geometric Analysis, doi.org/10.1007/s12220-018-0026-2 (2018).
6. , with C. Escher, available at arXiv:math.DG/1506.08685v3 (2016).
7. , with , Journal of Geometric Analysis, 27 (2) , 1636--1666 (2017).
8. , with P. Solorzano, F. Wilhelm, Annals of Global Analysis and Geometry, doi:10.1007/s10455-015-9471-3, pp. 1--9 (2015).
9. , with , Geometry and Topology, 19 (3), pp. 1409-1475 (2015).
10. , Geometry of Manifolds of Non-negative Sectional Curvature, Lecture Notes in Mathematics 2110, DOI 10.1007/978-3-319-06373-7_3, Springer International (2014).
11. , with , Geometry & Topology 18 pp. 1397鈥�1435 (2014).
12. , with G. Fernandez Cata, H. Comas Rojas, A. Perez Gramatges, C. Zicovich-Wilson, L.J. Alvarez, Soft Matter, vol. 7, pp. 8508--8515 (2011).
13. , with , Transformation Groups, Vol. 16, No. 1, pp. 91--107 (2011).
14. , with , Proceedings of the American Mathematical Society, Volume 139, Number 7, pp. 2559--2564 (2011).
15. , with W. Dunbar, S. Greenwald, , Differential Geometry and its Applications, vol 27, no. 2, pp. 307--319 (2009).
16. , with , Differential Geometry and its Applications, v. 22, no. 1, pp. 81--104 (2005).
17. , with , Proceedings of the AMS, vol. 130, no. 1, pp. 163--166 (2002).
18. , with , Annals of Global Analysis and Geometry, vol. 18, pp 437--446 (2000).
19. , with , Journal of Differential Geometry, vol 47, pp. 530--559 (1997), Correction, JDG, vol. 49, p. 205 (1998).
20. , with , Duke Mathematical Journal, vol. 74, no. 2, pp. 547--556 (1994).
21. , with , Journal for Pure and Applied Algebra, vol. 91, pp. 137--142 (1994).
22. , with , Aportaciones Matematicas, serie: Comunicaciones 12, ISBN 968-36-3280-7, pp. 153--156 (1993).
23. , Mathematische Zeitschrift, vol. 214, no.3, pp. 491--498 (1993), , Math. Z., vol 226, pp. 165--167 (1997).
24. , Aportaciones Matematicas, serie: Notas de Investigacion no. 8, ISBN 968-36-2793-5, pp. 109--110 (1992).
25. , with A.M. Albano, T.H. Chyba, S. Yong, R.S. Gioggia, N.B. Abraham, Journal Opt. Sci. of America B, vol.125, pp. 47--55 (1985).
26. , with C.F. Burrell, A.S. Schlachter, R.V. Pyle, Journal Vac. Sci. Technol. A2 (2), pp. 708--709 (1984).
27. , with C.F. Burrell, A.S. Schlachter, R.V. Pyle, Bulletin American Physical Society, Series II, v. 28, no.8, p. 1119 (1983).
Expository Articles
1. , with , IJMMS, Vol. 32, no. 8, pp. 453--469 (2002).
2. , with , Divulgaciones Matematicas, Vol. 9, no. 1, pp. 1--23 (2001).