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.

Accepted

E. Frugoni, N. Miller, D. R. Stephenson, and A. Wells, Counting Quadratic Forms of Rank 1 and 2, Pi Mu Epsilon Journal, to appear.

In Preparation

D. R. Stephenson, Twists of regular algebras of weight (1,1,n).
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, to appear.
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.

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