Vita, Publications, and Preprints

Note: The documents are in the pdf format.

 

Vita
(Updated:  30th July 2007)

Twenty-four hours of local cohomology (with G. Leuschke, A. Leykin, C. Miller, E. Miller, A. Singh, and U. Walther)
AMS Graduate Studies in Mathematics, Volume 87, 2007.

Free resolutions over short local rings (with L. L. Avramov and L. M. Sega)
Preprint 2007

Gorenstein algebras and Hochschild cohomology (with L. L. Avramov)
Preprint 2007

Noncoherent subsets of Spec A (Appendix to: Thick subcategories of modules over commutative rings, by H. Krause)
Math. Ann. (to appear)

Local cohomology and support for triangulated categories (with D. Benson and H. Krause)
Preprint 2007

Constructing modules with prescribed cohomological support (with L. L. Avramov)
Ill. Jour. Math. (to appear)

Homology of perfect complexes (with L. L. Avramov, R-O. Buchweitz, and C. Miller)
Preprint 2007

André-Quillen homology of commutative algebras
in: Interactions between homotopy theory and algebra (Chicago 2004), Contemp. Math. 436, Amer. Math. Soc., Providence, RI 2007

Class and rank of differential modules (with L. L. Avramov and R-O. Buchweitz)
Invent. Math. 169 (2007) 1--35

A criterion for regularity of local rings (with T. Bridgeland)
Comptes Rendus Acad. Sci. Ser I, 342 (2006) 723--726

Acyclicity versus total acyclicity for complexes over commutative rings (with H. Krause)
Documenta Math. 11 (2006) 207--240 Electronic publication at Documenta Math.

Gorenstein dimension of modules over homomorphisms (with L. Christensen)
J. Pure Appl. Algebra 208 (2007) 177--188

Hilbert-Samuel functions of modules over Cohen-Macaulay rings (with T. Puthenpurakal)
Proc. Amer. Math. Soc. 135 (2007) 637--648

Gaps in Hochschild cohomology imply smoothness for commutative algebras (with L. Avramov)
Math. Res. Letters 12 (2005) 789--804

Finiteness in derived categories of local rings (with W. Dwyer and J. P. C. Greenlees)
Comment. Math. Helv. 81 (2006) 383--432.

Homology over local homomorphisms (with L. Avramov and C. Miller)
American Jour. Math. 128 (2006) 23--90

Modules and cohomology over group algebras. One commutative algebraist's perspective.
in: Trends in commutative algebra (Berkeley, September 2002),
MSRI Publ. Vol. 51, Cambridge Univ. Press, Cambridge, 2004; 51--86 Pdf version, as it will appear in the book

G-dimension over local homomorphisms. Applications to the Frobenius endomorphism(with S. Sather-Wagstaff)
Ill. Jour. Math. 48 (2004) 241--272. Electronic publication at IJM

Koszul modules (with J. Herzog)
J. Pure Appl. Algebra 201 (2005) 154--188.

Duality in algebra and topology (with W. Dwyer and J. P. C. Greenlees)
Adv. Math. 200 (2006) 357--402.

Dualizing DG modules and Gorenstein DG algebras ( with A. Frankild and P. Jørgensen)
J. London Math. Soc. 68 (2003) 288--306.

Depth and amplitude for unbounded complexes   (with H.-B. Foxby)
in: Commutative Algebra. Its interaction with Algebraic Geometry (Grenoble-Lyon 2001), Contemp. Math. 331,  A.M.S., R.I., 2003; 119--137.

Andr-Quillen homology of algebra retracts     (with L. Avramov)
Ann. Sci.  École Norm. Sup. (4) 36 (2003) 431--462.

Homological criteria for regular homomorphisms and for locally complete intersection homomorphism (with L. Avramov)
in: Algebra, Arithmetic, and Geometry (Mumbai 2000) T.I.F.R. Studies in Math. 16 vol. I, Narosa, New Delhi, 2002; 97--122.

Acyclicity of Tate constructions 
J.Pure Appl. Algebra 163 (2001), no. 3, 289--300.

On a depth formula for modules over local rings (with S. Choi)
Comm. Algebra, 29 (2001) 3135--3143.

Finite generation of hochschild homology algebras (with L. Avramov)
Invent. Math., 140 (2000) 143--170.

Free summands of conormal modules and central elements in homotopy lie algebras of local rings
Proc. Amer. Math. Soc., 129 (2001) 1563--1572.

Maximal minimal resolutions (with K. Pardue)
J. Reine. Angew. Math., 512 (1999) 27--48.

Depth for complexes, and intersection theorems
Math. Z., 230 (1999) 545--567.

Free resolutions and change of rings
J. Algebra, 190 (1997) 195--213.

Shifts in resolutions of multigraded modules
Math. Proc. Camb. Phil. Soc., 121 (1997) 437--441.