My research is in commutative algebra, especially on homological properties of ideals and modules. Here is a list of my paper and preprints:
  1. (with S. Murai) Regularity of Canonical and Deficiency modules for Monomial ideals, 2009.
    submitted.
  2. (with M. Basavaraju and L. Sunil Chandran) $d$-Regular graphs of acyclic chromatic index at least $d+2$.
    to appear in Journal of Graph Theory, 2009.
    arXiv:0804.4681v1 [math.CO]
  3. Regularity, Depth and Arithmetic Rank of Bipartite Edge Ideals.
    J. Algebraic Combin., 30(2009), no.  4, 429--445.
    arXiv:0902.0437v1 [math.AC]
  4. (with G. Caviglia) Some ideals of large projective dimension.
    Proc. Amer. Math. Soc., 136 (2008), no.  2, 505--509.
    arXiv:math/0604436 | MR2358490
  5. Multiplicity bounds for quadratic monomial ideals, 2007.
    arXiv:0707.1311 [math.AC]
  6. Alexander duality and Serre's property Si for square-free monomial ideals, 2007.
    preprint.
My dissertation: `Homological Invariants of Monomial and Binomial Ideals', University of Kansas, August 2008. Advisor: Craig Huneke.
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Last modified: Thu Jan 29 23:59:04 EST 2009