Research Papers
Enumerative Combinatorics:
- “A Bijective Proof of a Tennis Ball Problem,” (jointly with M. Zeleke), Bulletin of the ICA (Institute of Combinatorics and its Applications), Vol. 41 (2004), pp. 89-95
- “k-Trees and Catalan Identities,” (jointly with M. Zeleke), Congressus Numerantium 165 (2003), pp. 39-49.
- “Enumerations of K-trees and Applications,” (jointly with R.G. Ripper & M. Zeleke), Annals of Combinatorics, 6 (2002), pp. 375-382
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“Continued Fractions and Catalan Problems,” (jointly with R.G. Ripper), The Electronic J. of Combinatorics, R45, Vol. 7(1), (2000).
Algebraic Topology:
- “Covering Maps in TopN,” (jointly with H. Hastings), Geometric and Shape Theory, Lecture Notes in Mathematics, Springer-Verlag #1283, (1986), pp. 115-124
- “Equivalences of Shape Fibrations,” (jointly with H. Hastings), Glasnik Mathematicki, Vol. 20 (40), (1985), pp. 243-249.
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“Dold Theorems in Shape Theory,” Research Announcements, Topology Proceedings, Vol.9, (1984)
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“Cell-like Shape Fibrations which are Fiber Shape Equivalences,” Topology Proceedings, Vol.7, (1982), pp. 225-244.
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“Induced Shape Fibrations and Fiber Shape Equivalences,” The Rocky Mountain J. of Math., Vol.12 #2, (Spring 1982), pp. 305-332.
Undergraduate Math Majors Research Experience Projects (Math 490)
- “Polytops and Pick’s Theorem,” - Gujan Mehta (Fall 2005)
- “Ehrhart Polynomials,” - Alaina Benalquista (Fall 2005)
- “Permutahedrons,” - Nancy Jimmenez (Fall 2005)
- “Age of the Earth,” - Richard LoBoi (Spring 2005)
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“Three Optimization Problems,” - Robert Fisch (Spring 2005)
- “The Calculus of Rainbow,” - Batoul Baterdouk (Fall 2004)