Skip to Main Content

Geoffrey D. Dietz

  • Professor
    Mathematics Department
  • Chairperson
    Mathematics Department

I grew up in Dayton, Ohio and attended Catholic elementary school, high school, and college. I have always liked mathematics and was completely hooked when I was shown a one-sided Mobius strip in the second grade. After graduating from the University of Dayton, I went to Ann Arbor, Michigan to earn a Ph.D. in mathematics from the University of Michigan (although I remained a Buckeye fan). After a postdoctoral appointment at the University of Oklahoma, I moved to Erie to join the Mathematics Department at Gannon in 2006. While my graduate training was in algebra, I have now taken an additional interest in financial mathematics which led me to create our concentration in actuarial science and in statistical modeling related to qPCR analysis in biology.

I am married and have seven children. My wife also graduated from the University of Dayton and earned a Ph.D. in organic chemistry from the University of Michigan. She has now chosen to devote her life to a full-time career raising and home-schooling our children.

  • Quantitative Literacy (Math 103)
  • Fundamentals of Mathematics 1 (Math 105)
  • College Algebra (Math 111)
  • Trigonometry (Math 112)
  • Calculus 1 (Math 140)
  • Calculus 2 (Math 141)
  • Applied Statistics (Math 213)
  • Geometry (Math 226)
  • Calculus 3 (Math 242)
  • Calculus 4 (Math 243)
  • Linear Algebra (Math 252)
  • History of Mathematics (Math 260)
  • Mathematical Analysis 1 (Math 301)
  • Differential Equations 1 (Math 304)
  • Applied Complex Variables (Math 308)
  • Abstract Algbera 1 (Math 309)
  • Abstract Algebra 2 / Number Theory (Math 310)
  • Financial Mathematics 1 (Math 331)
  • Financial Mathematics 2 (Math 332)
  • University of Dayton, B.S. in Mathematics (minors in computer science, economics, and physics), 2000.
  • University of Michigan (Ann Arbor), Ph.D. in Mathematics, Closure Operations in Positive Characteristic and Big Cohen-Macaulay Algebras, 2005.
  • Chair, Mathematics Department, Gannon Unviersity, Erie, Pennsylvania. (2012-present)
  • Professor, Gannon University, Erie, Pennsylvania. (2017-present)
  • Associate Professor, Gannon University, Erie, Pennsylvania. (2011-2017)
  • Assistant Professor, Gannon University, Erie, Pennsylvania. (2006-2011)
  • Visiting Assistant Professor, University of Oklahoma, Norman, Oklahoma. (2005-2006)
  • American Mathematical Society
  • Mathematical Association of America
  • M. Ganger, G. Dietz, P. Headley, and S. Ewing, "Application of the common base
    method to regression and analysis of covariance (ANCOVA) in qPCR experiments and
    subsequent relative expression calculation," BMC Bioinformatics, 21 (2020), No. 423.
  • G. Dietz and Rebecca R.G., "Big Cohen-Macaulay and Seed Algebras in Equal Characteristic Zero Via Ultraproducts," Journal of Commutative Algebra, 11 (2019), No. 4, 511-533.
  • G. Dietz, "Axiomatic Closure Operations, Phantom Extensions, and Solidity," Journal of Algebra, 502 (2018), 123--145.
  • M. Ganger, G. Dietz, and S. Ewing, "A common base method for analysis of qPCR data and the application of simple blocking in qPCR experiments," BMC Bioinformatics, 18 (2017), No. 1.
  • G. Dietz, "A Trouble-some Simulation," The Mathematics of Various Entertaining Subjects: Research in Recreational Mathematics, Volume II. Princeton: Princeton University Press, 2017.
  • G. Dietz, "What is So Negative About Negative Exponents?" Journal of Humanistic Mathematics, 4 (2014), No. 1, 124-135.
  • G. Dietz, MINITAB Manual for Discovering the Fundamentals of Statistics, 2nd Edition. New York: W.H. Freeman and Company, 2014.
  • G. Dietz, MINITAB Manual for Discovering Statistics, 2nd Edition. New York: W.H. Freeman and Company, 2013.
  • G. Dietz, "A Characterization of Closure Operations That Induce Big Cohen-Macaulay Modules," Proceedings of the American Mathematical Society, 138 (2010), No. 11, 3849-3862.
  • G. Dietz, MINITAB Manual for Discovering Statistics: Brief Version. New York: W.H. Freeman and Company, 2010.
  • G. Dietz, MINITAB Manual for Discovering Statistics. New York: W.H. Freeman and Company, 2010.
  • G. Dietz, "Big Cohen-Macaulay Algebras and Seeds," Transactions of the American Mathematical Society, 359 (2007), No. 12, 5959-5989.
  • G. Dietz, "Tight Closure of Finite Length Modules in Graded Rings," Journal of Algebra, 306 (2006), No. 2, 520-534.
  • G. Dietz, R. Higginbottom, and D. Stephenson, "Quantum Projective 3-Spaces Which Embed Weighted Quantum Planes," Rocky Mountain Journal of Mathematics, 35 (2005), No. 2, 415-444.
  • G. Dietz and D. 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.

My research interests lie in the field of commutative algebra, specifically tight closure theory, characteristic p methods, and big Cohen-Macaulay algebras and modules.

I study generalized number systems (called “rings”) that behave like the integers or real numbers in many ways but can also behave quite differently. Such systems arise when one studies solutions to systems of equations. I am particularly interested in rings where a fixed number (usually prime) is set equal to 0. (Imagine how 24 = 0 in a 24-hour clock.) Rings also possess geometric information, just as the solutions to y=x^2 can be thought of as a parabola in the plane. Moving back and forth between the algebra and geometry involved can often help one understand both areas better.

I have also written on the history of how algebra (specifically, the negative exponent) has been taught in high school in the United States and worked with some colleagues in Biology on issues related to statistical analysis of qPCR data.

  • MCHPS Rank & Tenure Committee (2014, 2015, 2017-present)
  • Pre-tenure Review Committee, Gannon University, 2017-2018 (Chair).
  • MCHPS Program Review Committee (2013-2014)
  • University Budget Committee (2015-2016)
  • University Compensation Committee (2011-2014)
  • University Strategic Planning Committe (2012-2013)
  • MCHPS College Academic A ffairs Committee (2008-2012)
  • Faculty Senate (2009-2012)
  • Student Conduct Committee (2007-2010)
  • Reviewer for MathSciNet of the American Mathematical Society (2005-present)
  • Past referee for Journal of Algebra, PRIMUS, and Acta Mathematica Universitatis Comenianae.
Geoffrey        D. Dietz

Phone: 814-871-+1 8148717595
Office: Z 414

Contact Geoffrey Dietz