
Research Interests
- Commutative Algebra
- Homological Algebra
Papers
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The Golod property of powers of the maximal ideal of a local ring,with Lars W. Christensen, & Arch. Math. (2018), https://link.springer.com/article/10.1007%2Fs00013-018-1152-6, 1 – 14.
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Trimming a Gorenstein ideal,with Lars W. Christensen and Jerzy Weyman, J. Commut. Algebra, Online October (2016), 16 pp.
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Local rings of embedding codepth 3. A classification algorithm,with Lars W. Christensen, J. Softw. Algebra Geom. 6 (2014), 1–8. [Accompanying Macaulay 2 package CodepthThree]
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Local rings of embedding codepth 3. Examples,with Lars W. Christensen, Algebras and Representation Theory, 17 (2014), 121 – 135.
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The index of a numerical semigroup ring,J.Pure Appl. Algebra 217 (2013), no. 10, 1994–2001.
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Growth in the minimal injective resolution of a local ring,with Lars W. Christensen and Janet Striuli, J. London Math. Soc. 81(1) (2010), 24 – 44.
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Comparing complexities of pairs of modules,with Hailong Dao, J. Algebra 322 (2009), 3047–3062.
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A test complex for Gorensteinness,with Lars W. Christensen, Proc. Amer. Math. Soc. 136 (2008), 479 – 487.
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Acyclicity over local rings with radical cube zero,with Lars W. Christensen, Illinois J. of Math 54 (2007), 1439 – 1454.
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Stable cohomology over local rings,with Luchezar L. Avramov, Adv. Math. 213 (2007), 93 – 139.
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Gorenstein projective dimension for complexes,Trans. Amer. Math. Soc. 358 (2006), 1257 – 1283.
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Construction of modules with finite homological dimensions,J. Algebra 250 (2002), 427 – 449.
Ph. D. Thesis
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Homological dimensions for modules and complexesPurdue University, 2004Thesis Advisor: Luchezar L. Avramov