Curtin, Eugene
 | Contact Information Eugene Curtin, PhD. Department of Mathematics Texas State University San Marcos, TX 78666 Office: MCS 559 Email: ec01@txstate.edu Phone: 512-245-3433 Fax: 512-245-3425 Research Interest Differential Geometry, Combinatorics, Game Theory. |
Dr. Curtin received his Ph.D. from Brown University in 1988. Currently, Dr. Curtin's most recent accepted paper is in the area of graph theory and combinatorics. It will be published in the journal Discrete Mathematics and Theoretical Computer Science. His other ongoing work is in graph theory. Some other recent publications are about the theory of stability of digital signal filters and are located in engineering journals. Much of Dr. Curtin's research incorporates computation as an important tool.
Selected Publications:
- E. Curtin. Cubic Cayley graphs with small diameter. Discrete Math. Theor. Comput. Sci. 4 (2001), no. 2, 123--131.
- E. Curtin, S. Saba. Stability and margin of stability tests for multidimensional filters. IEEE Trans. Circuits Systems I Fund. Theory Appl. 46 (1999), no. 7, 806--809.
- G. Cain, Z. Lu, E. Curtin, F. Schmidt. Problems and Solutions: Solutions: 10341. Amer. Math. Monthly 104 (1997), no. 1, 75--76.
- E. Curtin, S. Saba. An elementary approach to the algebraic stability theorems. IEEE Trans. Circuits Systems I Fund. Theory Appl. 43 (1996), no. 4, 348--349.
- E. Curtin. Finite rings whose subrings are nested. Proc. Roy. Irish Acad. Sect. A, 94(1):67--75, 1994.
- E. Curtin. Infinite rings whose subrings are nested. Proc. Roy. Irish Acad. Sect. A, 94(1):59--66, 1994.
- E. Curtin. Tautness for manifolds with boundary. Houston J. Math., 20(3):409--424, 1994.
- E. Curtin. Manifolds with intermediate tautness. Geom. Dedicata, 38(3):245--255, 1991.
- E. Curtin and S. Saba. An elementary approach to the algebraic stability theorems. IEEE Trans. Circuits Systems I Fund. Theory Appl., 43(4):348--349, 1996.
- E. Curtin and S. Saba. Stability and margin of stability tests for multidimensional filters. IEEE Trans. Circuits Systems I Fund. Theory Appl., 46(7):806--809, 1999.
- E. Curtin and S. Saba. A continuity proof of Rudin's theorem for polynomials and a generalization. IEEE Trans. Circuits Systems I Fund. Theory Appl., 47(9):1319--1322, 2000.
- P. A. Kennedy, M. L. Warshauer, and E. Curtin. Factoring by grouping: Making the connection. Mathematics and Computer Education Journal, 25:118--123, 1991.
- E. Curtin. Planar Coverings of Directed Graphs. submitted to Discrete Mathematics, Revisions requested.
- E. Curtin. Homeomorphisms of Compact Metric Spaces (solution to a proposed problem) American Mathematical Monthly, 98(7), August/September 1991.
- E. Curtin. Disjoint Connections (Solution to proposed problem) American Mathematical Monthly, 104(1), January 1997.
- E. Curtin. Cycle Index Computations (Mathematica Notebook and Package) published on Wolfram Researchs' MathSource Site, http://www.mathsource.com/Content/Applications/Mathematics/0210-474