Dean Allison

Contact Information

Education

• Ph.D. Mathematics, University of Missouri
• M.A. Mathematics, University of Missouri
• B.S. Physics, University of Missouri

Professional/Academic Experience

• Present – 2007, University of Northern Colorado, School of Mathematical Sciences, Professor and Director.
• 2007 - 1995, University of Northern Colorado, Department of Mathematical Sciences, Associate Professor.
• 1995-1992, University of Northern Colorado, Department of Mathematical Sciences, Assistant Professor.
• 1992-1985, Southern Illinois University, Department of Mathematics, Assistant Professor.
• 1985-1977, University of Missouri, Department of Mathematics, Graduate Teaching Assistant.

• 1978-1975, University of Missouri, Department of Family and Community Medicine, Research Associate.

Research/Areas of Interest

Global Lorentzian geometry with applications to general relativity; differential geometry; calculus and post-calculus curriculum reform; and teaching and learning of differential equations.

Publications/Creative Works

• Madden, S., Allison, D.E., Pirates of the parametric parabolas, Mathematics Teacher 104, no. 9 (May 2011):666-674.
• Allison, D.E., Diaz, R., Miller, N., Generalized Baseball Curves:  Three Symmetries and Your’re In!, Loci, MAA Mathematical Sciences Digital Library, September 2008. 
• Powers, R.A., Allison, D.E., Grassl, R.M., A Study of the Use of a Handheld Computer Algebra System in Discrete Mathematics, International Journal for Technology in Mathematics Education 12 (2006), 103-114.
• Allison,D.E. and Ünal, B., Geodesic structure of standard static space-times, J. of Geometry and Physics 46 (2003), 193-200.
• Allison,D.E., Comment on "Lorentzian Warped Products and Singularity"(GRG 31, No. 12,1999), General Relativity and Gravitation, May 2001
• Allison,D.E., Lorentzian Clairaut submersions, Geometriae Dedicata 63 (1996), 309-319.
• Allison,D.E., Pseudoconvexity in Lorentzian doubly warped products, Geometriae Dedicata 39 (1991), 223-227.
• Allison,D.E., Geodesic completeness in static spacetimes, Geometriae Dedicata 26 (1988), 85-97.
• Allison,D.E., Energy conditions in standard static spacetimes, General Relativity and Gravitation 20(1988), 115-122.