David A. Jorgensen -- Papers, Talks, Preprints, and M2 scripts

Papers

Minimal intersections and vanishing (co)homology, (with W. F. Moore) Submitted [abstract, ps, pdf]

On acyclic complexes of free modules, (with M. Hughes and L. Sega) Submitted [abstract, ps, pdf]

Finite projective dimension and the vanishing of Ext(M,M), Comm. Alg. (to appear) [abstract, ps, pdf]

On the growth of the Betti sequence of the canonical module, (with G. Leuschke) Math. Z. 256 (2007), 647--659 [abstract, ps, pdf, erratum to the published version]

Asymmetric complete resolutions and vanishing of Ext over Gorenstein rings, (with L. Sega) Internat. Math. Res. Notices 2005, no. 56, 3459-3477 [abstract, ps, pdf, accompanying note by Kristen Beck]

Independence of the total reflexivity conditions for modules, (with L. Sega) Algebr. Represent. Theory 9 (2006), 217-226 [abstract, ps, pdf]

On tensor products of rings and extension conjectures, J. Commutative Alg. (to appear) [abstract, ps, pdf]

Fitting ideals and finite projective dimension, (with C. Huneke and D. Katz) Math. Proc. Cambridge. Phil. Soc. 138 (2005), 41-54 [abstract, ps, pdf

Nonvanishing cohomology and classes of Gorenstein rings, (with L. Sega) Adv. Math. 188 (2004), 470-490 [abstract, ps, pdf]

Some liftable cyclic modules, Comm. Alg. 31(1) (2003), 493-504 [abstract, ps, pdf]

Symmetry in the vanishing of Ext over Gorenstein rings, (with C. Huneke) Math. Scand. 93 (2003), 161-184 [abstract, ps, pdf]

Support sets of pairs of modules, Pac. J. Math. 207, No. 2, (2002), 393-409 [abstract, ps, pdf]

Vanishing theorems for complete intersections, (with C. Huneke and R. Wiegand) J. Algebra 238 (2001), 684-702 [abstract, ps, pdf]

Vanishing of (co)homology over commutative rings, Comm. Alg. 29(5) (2001), 1883-1898 [pdf, ps, pdf]

A generalization of the Auslander-Buchsbaum formula, J. Pure Appl. Algebra 144 (1999), no. 2, 145-155 [pdf, ps, pdf]

Existence of unliftable modules, Proc. Amer. Math. Soc. 127 (1999), no. 6, 1575-1582 [pdf, ps, pdf]

Tor and torsion on a complete intersection, J. Algebra, 195 (1997), 526-537 [pdf, ps, pdf]

Complexity and Tor on a complete intersection, J. Algebra, 211 (1999), 578-598 [pdf, ps, pdf]

Talks

Vanishing of Ext and Tor over certain local rings, 1011th meeting of the AMS, Lincoln, NE, October 23, 2005.
  • ps or pdf

    On the growth of the Bass sequence of a Cohen-Macaulay local ring, 1009th meeting of the AMS, Annandale-on-Hudson, NY, October 8, 2005.

  • ps or pdf

    Preprints

    Macaulay 2 scripts

    Here is a Macaulay 2 script written by myself and Amelia Taylor which computes the support set of a pair of modules. There is now built-in code in Macaulay 2 (see Avramov and Grayson's chapter in the new Springer book) which can also compute support sets over complete intersections. Our script here works differently, and applies in a broader setting. Directions on how to use it are given in the above paper ("Support sets of pairs of modules").

    Here is a Macaulay 2 script written by myself and William Moore which builds modules with a prescribed support set.