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Koszul Algebras from Graphs and Hyperplane Arrangements (with Sergey Yuzvinsky), J. London Math. Soc. (2) 56 No. 3 (1997), 477-490. Some Quantum P3's win One Point. (with Michaela Vancliff), Comm. Alg. 27 No. 3 (1999), 1429-1443. Embedding a Quantum Rank Three Quadric in a Quantum P3. (with Michaela Vancliff) Comm. Alg. 27 No. 6 (1999), 2877-2904. On Koszul Algebras and a new construction of Artin-Schelter Regular Algebras. (with Craig Tingey) Journal of Algebra. 241 (2001), 789-798. Schemes of Line Modules I. (with Michaela Vancliff) J. London Math. Soc. 65 No. 3 (2002), 575-590. |
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Schemes of Line Modules II. (with Michaela Vancliff) Comm. Alg. 30 No. 5 (2002), 2535-2552.
Basic Properties of Generalized Down-Up Algebras (with Thomas Cassidy) Journal of Algebra. 279 (2004), 402-421.
Representation Theory of Two Families of Quantum Projective 3-Spaces. (with Peter Goetz) Journal of Algebra 295 (2006), no. 1, 141-156.
Generalized Laurent Polynomial Rings as Quantum Projective 3-Spaces. (with Thomas Cassidy and Peter Goetz) Journal of Algebra 303 (2006) no. 1, 358-372.
PBW Deformation Theory and Regular Central Extensions (with Thomas Cassidy) Crelle's Journal, 610 (2007), 1-12.
Generalizing the notion of Koszul Algebra (with Thomas Cassidy) Math. Z. 260 No. 1 (2008), 93-114.
The Yoneda Algebra of a K2 Algebra neet not be another K2 Algebra (with Thomas Cassidy and Christopher Phan) , Communications in Algebra 38 No. 1 (2010), 46-48.
Noncommutative Koszul Algebras from Combinatorial Topology (with Thomas Cassidy and Christopher Phan), To appear, Crelle's Journal.
The Koszul Property is a Topological Invariant and a Measure of Singularities (with Hal Sadofsky), To appear, Pacific Journal.
K2 Factors of Koszul Algebras and Applications to Face Rings
(with Andrew Conner), preprint.
