Name:Dean Allison Associate Professor of Mathematics

Experience:
 

1992-present	University of Northern Colorado Greeley, CO
1985-1992	Southern IllinoisUniversity at Carbondale, Mathematics Department

Classes: This is my schedule for Fall 2004.

 

Day of Week	Monday	Tuesday	Wednesday	Thursday	Friday
8:00 -  8:50 am				Research
9:05 - 9:55 am				Research	OFFICE HOUR
10:10 - 11:00am	MATH 228		MATH 228	Research	MATH 228
11:15 - 12:05pm	MATH 228		MATH 228	Research	MATH 228
12:20 - 12:10 pm				Research
1:25 - 2:15 pm	MATH 335		MATH 335	Research	MATH 335
2:30 - 3:40 pm	OFFICE HOUR		OFFICE HOUR	Research
3:35 - 4:25 pm				Research

Office Hours:  Ross 2250A In addition to the hours listed above, I am available lots of other times.  See me for an appointment or contact me at (970) 351-2395 or  dean.allison@.unco.edu.

Teaching Philosophy:
My goal is to create an atmosphere in the courses that I teach that encourages students to work hard, to enjoy the course, and be successful at learning lots of mathematics.  I like to use group projects and technology, in the form of Mathematica or whatever seems most appropriate, when I think it will contribute to the goals of the course.

Research Interests
My research interests are primarily in the area of differential geometry and its applications to general relativity.  I am also interested in undergraduate education and curriculum reform, especially in calculus and differential equations.

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
• _____., Lorentzian Clairaut submersions, Geometriae Dedicata 63 (1996), 309-319.
• _____., Pseudoconvexity in Lorentzian doubly warped products, Geometriae Dedicata 39 (1991), 223-227.
• _____., Geodesic completeness in static spacetimes, Geometriae Dedicata 26 (1988), 85-97.
• _____., 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.

 

Links:
Below I've listed some links to mathematically related sites that I have found interesting.

Alfred Gray's web site:  This site contains Mathematica notebooks that can be used to do differential geometry.  These notebooks can be downloaded for free but require that you have access to a copy of Mathematica.  The site also has many examples of curves and surfaces.

Boston University Ordinary Differential Equations:  This site links you to many, wonderful web pages devoted to differential equations, fractals, chaos, etc.

The MathForum:  This site is a very comprehensive web site devoted to all aspects of learning mathematics.  It is also the home of "Ask Dr. Math" where both students and teachers can get answers to math questions.

Mathematical Genealogy:  At this site one can find out who someone's research advisor in mathematics was, who their advisor was, and so on.  My personal math genealogy can be seen by clicking here.
 

dean.allison@unco.edu
Telephone: (970) 351-2395
Fax: (970) 351-1225
Office: Ross 2250A

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