Darin Stephenson | Hope College | Department of Mathematics

Published Papers

D. R. Stephenson, Artin-Schelter Regular Algebras of Global Dimension Three, PhD Thesis, University Microfilms International, 1994.
D. R. Stephenson, Artin-Schelter Regular Algebras of Global Dimension Three, Journal of Algebra 183, (1996), 55-73.
D. R. Stephenson, Algebras Associated to Elliptic Curves, Transactions of the AMS 349 (1997), 2317-2340.
D. R. Stephenson and J. J. Zhang, Growth of Graded Noetherian Rings, Proceedings of the AMS 125 (1997), 1593-1605.
P. Check, C. Kriloff and D. R. Stephenson, Invertible Subsets of Affine Root Systems, Journal of Pure and Applied Algebra 131 (1998), 133-142.
D. R. Stephenson, Quantum Planes of Weight (1,1,n), Journal of Algebra 225 (2000), 70-92. You may also download a Corrigendum.
D. R. Stephenson, The probability of being in a state, Solution to Problem 10726, American Mathematical Monthly 107 (2000), 469-470.
D. R. Stephenson and J. J. Zhang, Noetherian Connected Graded Algebras of Global Dimension 3, Journal of Algebra 230 (2000), 474-495.
G. Dietz, R. Higginbottom, and D. R. Stephenson, Quantum 3-spaces which embed weighted quantum planes, Rocky Mountain Journal of Mathematics 35 (2005), 415-444.
M. Vancliff and D. R. Stephenson, Finite quantum P³s that are infinite modules over their centers, Journal of Algebra 297 (2006), 208-215.
M. Vancliff and D. R. Stephenson, Constructing Clifford quantum P³s with finitely many points, Journal of Algebra 312 (2007), 86-110.
E. Frugoni, N. Miller, D. R. Stephenson, and A. Wells, Counting Quadratic Forms of Rank 1 and 2, Pi Mu Epsilon Journal 12 (2009), No. 11, 613-622.

Submitted

S. Edwards, V. Elandt, N. James, K. Johnson, Z. Mitchell, and D. Stephenson, Lights Out on Finite Graphs, submitted.

In Preparation

Multivariable Mathematics: Linear Algebra, Differential Equations, and Vector Calculus with Applications, a textbook for use in Math 231-232 at Hope College.

Papers by Undergraduate Research Students

G. Dietz, R. Higginbottom, and D. R. Stephenson, Quantum 3-spaces which embed weighted quantum planes (Hope College REU, Summer 1998), Rocky Mountain Journal of Mathematics 35 (2005), 415-444.
A. Douglass, C. Fitzgerald and S. Mihalik, Expected Areas of Randomly Generated Triangles of Fixed Perimeter (Hope College REU, Summer 1999), Pi Mu Epsilon Journal, 11, No. 7, 2002, pp. 365-371.
L. Kiessel, A. Reck, D. R. Stephenson, S. Wankier, and B. Yurk, Quadratic Algebras with 2 Generators (Hope College REU, Summer 2001).
E. Frugoni, N. Miller, D. R. Stephenson, and A. Wells, Counting Quadratic Forms of Rank 1 and 2, (Hope College REU, Summer 2003), Pi Mu Epsilon Journal 12 (2009), No. 11, 613-622.
S. KC and A. Madras, Randomly Generated Triangles Whose Vertices are Vertices of a Regular Polygon (Hope College REU, Summer 2005), Rose-Hulman Undergraduate Mathematics Journal 7, No. 1, 2006.
S. Edwards, V. Elandt, N. James, K. Johnson, Z. Mitchell, and D. Stephenson, Lights Out on Finite Graphs (Hope College REU, Summer 2008), submitted.

Reviews

I have refereed articles for the following journals:

Journal of Algebra
Proceedings of the American Mathematical Society
Transactions of the American Mathematical Society
Communications in Algebra

I have written reviews of several articles for Mathematical Reviews since 1998. (You or your institution must subscribe to MathSciNet to view these reviews.)



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Darin Stephenson's Publications