Dean Allison, Ph.D., Professor and Director

• Phone: (970)351-2395
• Email: dean.allison@unco.edu
• Office: Ross Hall 2239-H

Education

• Ph.D. Mathematics, University of Missouri (1985)
• M.A. Mathematics, University of Missouri (1979)
• B.S. Physics, University of Missouri (1975)

Current Research and Publications

Publications

• 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.

Recent Presentations

• “Geodesic Structure of Standard Static Space-times,” AMS Special Session (invited lecture), American Mathematical Society - Mathematical Association of America Joint National Meeting, Baltimore, January 2003, joint work with Bulent Ünal.
• “On the Use of Computer Algebra Systems in Upper Division Mathematics Classes,” American Mathematical Society - Mathematical Association of America National Meeting, MAA Special Session, New Orleans, January 2001.
• "Using VisualDSolve in a Differential Equations Course," The 11th International Conference on Technology in Collegiate Mathematics, New Orleans, November 20,1998 .
• "Differential Equations Using VisualDSolve and a Dynamical Systems Approach," Mathematical Association of America Rocky Mountain Regional Meeting, Denver, >April 17, 1998 .
• "Calculus Reform at the University of Northern Colorado," American Mathematical Society - Mathematical Association of America National Meeting, MAA Special Session, Orlando, January 1996.
• "Geodesics in Lorentzian Clairaut submersions," American Mathematical Society - Mathematical Association of America National Meeting , Minneapolis, August 1994.
• "Lorentzian Clairaut submersions," American Mathematical Society - Mathematical Association of America National Meeting, San Francisco, January 1991.
• " Pseudoconvexity of Lorentzian doubly warped products," American Mathematical Society - Mathematical Association of America National Meeting, Louisville, January 1990.