My research is in commutative algebra, especially on homological properties of ideals and modules. I got my Ph. D. from Kansas, under the direction of Craig Huneke. In my dissertation, `Homological Invariants of Monomial and Binomial Ideals', I studied numerical invariants of free resolutions.

  1. (with C. Berkesch, D. Erman and S. Sam) Shapes of free resolutions over a local ring, 2011
    arXiv:1105.2244 [math.AC]
  2. (with C. Berkesch, D. Erman and S. Sam) Tensor complexes: Multilinear free resolutions constructed from higher tensors, 2011.
    arXiv:1101.4604 [math.AC]
  3. (with U. Walther) Étale cohomological dimension, a conjecture of Lyubeznik and bounds for arithmetic rank, 2010.
    arXiv:1011.6648v1 [math.AC]
  4. (with C. Berkesch, D. Erman and S. Sam) Poset Structures in Boij--S\"oderberg Theory, 2010.
    arXiv:1010.2663 [math.AC]
  5. (with K. Dalili) Dependence of Betti Numbers on Characteristic, 2010.
    arXiv:1009.4243v1 [math.AC]
  6. (with G. Caviglia) Poset Embeddings of Hilbert Functions, 2010.
    arXiv:1009.4488v1 [math.AC]
  7. (with S. Murai) Regularity of Canonical and Deficiency modules for Monomial ideals, 2010.
    Pacific J. Math. 249 (2011), no. 2, 377-383.
    arXiv:1006.1444v1 [math.AC] | MR2782675
  8. (with M. Basavaraju and L. Sunil Chandran) $d$-Regular graphs of acyclic chromatic index at least $d+2$.
    J. Graph Theory, 63 (2010), no. 3, 226--230.
    arXiv:0804.4681v1 [math.CO] | MR2590206
  9. Regularity, Depth and Arithmetic Rank of Bipartite Edge Ideals.
    J. Algebraic Combin., 30 (2009), no.  4, 429--445.
    arXiv:0902.0437v1 [math.AC] | MR2563135
  10. (with G. Caviglia) Some ideals of large projective dimension.
    Proc. Amer. Math. Soc., 136 (2008), no.  2, 505--509.
    arXiv:math/0604436 | MR2358490
  11. Multiplicity bounds for quadratic monomial ideals, 2007.
    arXiv:0707.1311 [math.AC]
  12. Alexander duality and Serre's property Si for square-free monomial ideals, 2007.
    preprint.
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Last modified: Tue Jun 7 03:09:19 IST 2011