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Gannon University
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Dr. Geoffrey Dietz
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Research Interests
- My current interests lie in commutative algebra. I am specifically interested
in characteristic p methods, tight closure theory, and big
Cohen-Macaulay algebras and modules.
- Research Statement
Papers
- What is So Negative About Negative Exponents?,
Journal of Humanistic Mathematics, 4 (2014), No. 1, 124--135.
- A Characterization of Closure Operations
That Induce Big Cohen-Macaulay Modules,
Proc. Amer. Math. Soc., 138 (2010), No. 11, 3849--3862.
- Big Cohen-Macaulay Algebras and Seeds,
Trans. Amer. Math. Soc., 359 (2007), No. 12, 5959--5989.
- Tight Closure of Finite Length Modules in Graded Rings,
J. Alg., 306 (2006), No. 2, 520--534.
- Closure Operations in Positive Characteristic and Big Cohen-Macaulay
Algebras, Thesis, Univ. of Mich., 2005.
- with Ryan S. Higginbottom and D.R. Stephenson,
Quantum Projective 3-Spaces Which Embed Weighted Quantum Planes,
Rocky Mountain Journal of Mathematics,
35 (2005), No. 2, 415--444.
- with D.E. Dobbs,
Limiting Values of the Variance and the Moments of the
Dimension of a Sum or Intersection of Random Vector Subspaces,
Applied Mathematics Letters, 15 (2002), 945--953.
Geoffrey Dietz
Department of Mathematics
Gannon University
109 University Square
Erie, PA 16541
dietz005 AT gannon.edu
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