I currently am serving as Chair of the Department of Mathematical Sciences.
My research interests are in commutative algebra and algebraic geometry. More specifically, I have
worked on linkage theory and residual intersections of ideals, and on problems involving blowing-up
algebras of ideals and modules.
Ubiquity of complete intersection liaison classes, Illinois J. Math. 58 (2014), 647–663 (with Paolo Mantero)
Liaison of product varieties. J. Algebra 268 (2003), 572–602
Normal blow-ups and their expected defining equations. J. Pure Appl. Algebra 162 (2001), 303–313 (with Susan Morey)
Licci ideals and the non-almost complete intersection locus. Proc. Amer. Math. Soc. 129 (2001), 1-7
Serre's condition Rk for associated graded rings. Proc. Amer. Math. Soc. 127 (1999), 2619–2624 (with Bernd Ulrich)
Linkage and sums of ideals. Trans. Amer. Math. Soc. 350 (1998), 1913–1930
Artin-Nagata properties and Cohen-Macaulay associated graded rings. Compositio Math. 103 (1996), 7–29 (with Bernd Ulrich)
Fall 2017: MATH 510V Mathematical Seminar T 3:30-4:20
MATH 5013 Abstract Algebra with Connections to School Mathematics