Position

Professor, Department of Mathematics

Contact Information

Address:
305 Avery Hall
Department of Mathematics
University of Nebraska-Lincoln
Lincoln, NE 68588-0130

Phone: (402) 472-7250
FAX: (402) 472-8466
email: tmarley1@math.unl.edu

Teaching Information for Spring 2010

Math 417: Introduction to Modern Algebra I 12:30 - 1:45 TR in CBA 24.
Office Hours: 2:30-3:30 Mondays and 9:30 - 11:00 on Thursdays.

Research

My research interests lie in the field of commutative algebra, a branch of mathematics focused on the study of algebraic equations and their solutions. The field has its origins in number theory, algebraic geometry, and invariant theory.

Below are some of my recent publications (clicking on the title will download a pdf file):


• Hilbert coefficients and the depths of associated graded rings , joint with Sam Huckaba, Journal of the London Math. Soc (2) 56 (1997) 64-76.
  
  
• Cofinite modules and local cohomology , joint with Donatella Delfino, Journal of Pure and Applied Algebra 121 (1997) 45-52.
  
  
• On associated graded rings of normal ideals , joint with Sam Huckaba, Journal of Algebra 222 (1999), 146-163.
  
  
• The associated primes of local cohomology modules over rings of small dimension , Manuscripta Mathematica 104 (2001), 519-525.
  
  
• Cofiniteness and associated primes of local cohomology modules , joint with Janet Vassilev, Journal of Algebra 256 (2002), 180-193.
  
  
• Local cohomology modules with infinite dimensional socles , joint with Janet Vassilev, Proc. of the American Math. Soc 132 (2004), 3485-3490.
  
  
• Non-Noetherian Cohen-Macaulay rings , joint with Tracy Hamilton, Journal of Algebra 307 (2007), 343-360.
  
  
• On rings for which finitely generated ideals have only finitely many minimal components, Communications in Algebra 35 (2007), no. 5, 1757-1760.
  
  
• Gorenstein rings and irreducible parameter ideals, joint with Mark Rogers and Hideto Sakurai, Proc. Amer. Math. Soc. 136, no. 1 (2008), 49-53.
  
  
• On the support of local cohomology, joint with Craig Huneke and Daniel Katz, to appear in the Journal of Algebra.
  
  
• The Auslander-Bridger formula and the Gorenstein property for coherent rings, joint with Livia (Miller) Hummel, to appear in the Journal of Commutative Algebra.
  
  Miscellaneous Stuff:
  
  
  • Hilbert functions of ideals in Cohen-Macaulay rings , PhD Thesis, Purdue University, 1989.
  • Graded rings and modules. These are some notes based on a five-week course I taught in the summer of 1993.
  • Introduction to local cohomology. These are notes from a 1999 summer course. The notes were recently put into LaTeX by Laura Lynch.
  • Math 901/902. These are notes on a Math 901-902 course given I gave in 2006-2007. Thanks to Laura Lynch for putting them in LaTeX.
  • The Homological Conjectures. These are notes on a course given in the spring semester, 2009. Laura put these notes into LaTeX as well.
  • A theorem of Hochster and Huneke concerning tight closure and Hilbert-Kunz mutliplicity, by Lori McDonnell. This gives a mostly self-contained proof of Hochster and Huneke's theorem characterizing Hilbert-Kunz multiplicty in terms of tight closure.
  • Gruson's Theorem, by Brian Johnson. This gives a self-contained proof of Gruson's Theorem, following an argument of Vasconcelos.
  
  
  

PhD Students

• Victoria Sapko, PhD 2001
• Ed Loeb, PhD 2006
• Livia Hummell, PhD 2008
• Brian Johnson, current student
• Laura Lynch, current student
• Lori McDonnell, current student




Links of Interest

• UNL Department of Mathematics Homepage
• Nebraska IMMERSE
• Nebraska Conference for Undergraduate Women in Mathematics
• My entry in The Math Genealogy Project
• Commalg.org: The commutative algebra bulletin board.
  
  Mail to: tmarley1@math.unl.edu
  Last changed: August 3, 2009.