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EducationPh.D. (2008) University of Nebraska-Lincoln Research Area: commutative algebraMy research is primarily focused on the homological nature of modules over commutative rings. Successive approximation of a module by free modules leads to the concept of a free resolution. Some of the questions that I am interested in are: When is such an approximation finite? How large are its pieces? Is there any additional structure on a resolution that will help answer the previous questions? I am also interested in the interactions of this theory with rational homotopy theory and hyperplane arrangements. Selected PublicationsCohomology over fiber products of local rings, Journal of Algebra (to appear), arXiv:0704.3631.Last modified: September 24, 2008 |