Research Interests of Keri SatherWagstaff
Click for:
RESEARCH TOPICS

commutative algebra

homological algebra

(semi)dualizing modules and complexes

Bass numbers and Betti numbers

homological dimensions

divisor class groups

combinatorial commutative algebra
RESEARCH SUMMARIES
REFEREED RESEARCH PAPERS, APPEARED

Multiplicities and a dimension inequality for unmixed modules
,
Journal of Algebra 238 (2001), 372388.
arXiv version

A dimension inequality for CohenMacaulay rings
,
Transactions of the American Mathematical Society
354 (2002), 9931005.

Intersections of symbolic powers of prime ideals
,
Journal of the London Mathematical Society (2) 65 (2002), no. 3,
560574.
arXiv version

On symbolic powers of prime ideals
,
Commutative algebra.
Interactions with Algebraic Geometry, Contemporary Math. 331
(2003), 329342.

Gdimension over local homomorphisms. Applications to the Frobenius
endomorphism
,
with
Srikanth Iyengar,
Illinois Journal of Mathematics 48 (2004), no. 1, 241272.
arXiv version

Complete intersection dimensions for complexes
,
Journal of Pure and Applied Algebra 190 (2004), no. 3, 267290.
arXiv version

Characterizing local rings via homological dimensions and regular
sequences
, with
Shokrollah
Salarian and
Siamak Yassemi,
Journal of Pure and Applied Algebra
207 (2006), no. 1, 99108.
arXiv version

The set of semidualizing complexes is a nontrivial metric space
, with Anders
Frankild,
Journal of Algebra 308 (2007), no. 1, 124143.
arXiv version

Reflexivity and ring homomorphisms of finite flat dimension
,
with
Anders
Frankild. Communications in Algebra 35 (2007), no. 2, 461500.
arXiv version

Semidualizing modules and the divisor class group
,
Illinois Journal of Mathematics 51 (2007), no. 1, 255285.
arXiv version

Detecting completeness from Extvanishing
,
with
Anders J.
Frankild, Proceedings of the American Mathematical Society
136 (2008), no. 7, 23032312.
arXiv version.

Stability of Gorenstein categories
,
with Tirdad
Sharif
and Diana White,
Journal of the London Mathematical Society (2)
77 (2008), no. 2, 481502.
arXiv version.

An Euler characteristic for modules of finite Gdimension
, with
Diana White,
Mathematica Scandinavica 102 (2008), no. 2, 206230.

Ascent of module structures, vanishing of Ext, and extended modules
, with Anders J.
Frankild and Roger A. Wiegand,
Michigan Mathematical Journal, 57 (2008), 321337.
arXiv version

Complete intersection dimensions and Foxby classes
, Journal of Pure and Applied Algebra 212 (2008), no. 12, 25942611.
arXiv version

A CohenMacaulay algebra has only finitely many semidualizing
modules
,
with Lars Winther Christensen,
Mathematical Proceedings of the Cambridge Philosophical Society
145 (2008), no. 3, 601603.
arXiv version

Gorenstein cohomology in abelian categories
,
with Tirdad
Sharif
and Diana White,
Journal of Mathematics of Kyoto University, 48 (2008), no. 3, 571596.

Relations between semidualizing complexes
, with Anders J.
Frankild and Amelia Taylor,
Journal of Commutative Algebra, 1 (2009), no. 3, 393436.
arXiv version

Maps on divisor class groups induced by ring homomorphisms of finite flat dimension,
with Sandra Spiroff,
Journal of Commutative Algebra, 1 (2009), no. 3, 567590.
arXiv Version

Modules of finite homological dimension with respect to a semidualizing module
,
with Siamak Yassemi,
Archiv der Mathematik (Basel), 93 (2009), no. 2, 111121.
arXiv version

Descent via Koszul extensions
,
with Lars Winther Christensen,
Journal of Algebra, 322 (2009), no. 9, 30263046.
arXiv version

Bass numbers and semidualizing complexes
,
Commutative Algebra and its Applications, de Gruyter, (2009), 349381.
arXiv version

Transfer of Gorenstein dimensions along ring homomorphisms
,
with Lars Winther Christensen,
Journal of Pure and Applied Algebra, 214, (2010), no. 6, 982989.
arXiv version

Comparison of relative cohomology theories with respect to semidualizing modules
,
with Tirdad
Sharif
and Diana White,
Mathematische Zeitschrift, 264, (2010), no. 3, 571600.
arXiv version

Tate cohomology with respect to
semidualizing modules,
with Tirdad
Sharif
and Diana White,
Journal of Algebra, 324, (2010), no. 9, 23362368.
arXiv version

Rings that are homologically of minimal multiplicity
, with
Keivan Borna
and
Siamak Yassemi,
Communications in Algebra, 39, (2011), no. 3, 782807.
arXiv version

ABcontexts and stability for Gorenstein flat modules with respect to
semidualizing modules,
with Tirdad
Sharif
and Diana White,
Algebras and Representation Theory, 14, (2011), no. 3, 403428.
arXiv version

Homology of artinian and Matlis reflexive modules, I,
with
Bethany Kubik and Micah J. Leamer,
Journal of Pure and Applied Algebra, 215, (2011), no. 10, 24862503.
arXiv version

Second symmetric powers of chain complexes
, with Anders J.
Frankild and Amelia Taylor,
Bulletin of the Iranian Mathematical Society,
37 (2011), no. 3, 3975.
arXiv version

Lower bounds for the number of semidualizing complexes over a local ring
, Mathematica Scandinavica 110 (2012), no. 1, 517.
arXiv version

Presentations of rings with nontrivial semidualizing modules, with
David A. Jorgensen
and
Graham J. Leuschke,
Collectanea Mathematica 63 (2012), no. 2, 165180.
arXiv version

Regular pullbacks, with
Jason Boynton,
Progress in Commutative Algebra 2, de Gruyter (2012), 145169.

On zero divisor graphs, with
Jim Coykendall,
Laura Sheppardson,
and
Sandra Spiroff,
Progress in Commutative Algebra 2, de Gruyter (2012), 241299.

Liftings and quasiliftings of DG modules,
with Saeed Nasseh,
Journal of Algebra, 373 (2013), 162182.
arXiv version

Embedding modules of finite homological dimension,
Glasgow Mathematical Journal, 55 (2013), no. 1, 8596.
arXiv version

Edge ideals of weighted graphs,
with Chelsey Paulsen,
Journal of Algebra and its Applications, 12 (2013), no. 5, pq.
arXiv version

Krull dimension for differential graded algebras,
with Kristen A. Beck,
Archiv der Mathematik (Basel), 101, (2013), no. 2, 111119.
arXiv version

Decompositions of monomial ideals in real semigroup rings,
with Daniel Ingebretson, Communications in Algebra, 41, (2013),
no. 11, 43634377. arXiv
version

Multiplicities of semidualizing modules,
with
Susan M. Cooper,
Communications in Algebra, 41, (2013),
no. 12, 45494558.
arXiv version

Homology of artinian and Matlis reflexive modules, II,
with
Bethany Kubik and Micah J. Leamer,
Journal of Algebra, 403, (2014),
no. 1, 229272.
arXiv version

Relative Tor functors with respect to a semidualizing module,
with
Maryam Salimi,
Elham Tavasoli,
and
Siamak Yassemi,
Algebras and Representation Theory, 17, no. 1 (2014), 103120.
(The
arXiv version is 29 pages long and contains more details.)

NAK for Ext and ascent of module structures,
with Benjamin J. Anderson, Proceedings of the American Mathematical Society, 142 (2014), 11651174.
arXiv version

Ascent properties for pairs of modules,
Archiv der Mathematik (Basel), 103 (2014), 211218.
arXiv version

Reflexivity and connectedness,
Glasgow Mathematical Journal, 57, (2014), no. 1, 231240.
arXiv version

Cohen factorizations: weak functoriality and applications,
with Saeed Nasseh,
Journal of Pure and Applied Algebra, 219 (2015), no. 3, 622645.
arXiv version

Path ideals of weighted graphs,
with
Bethany Kubik,
Journal of Pure and Applied Algebra, 219 (2015), no. 9, 38893912.
arXiv version

Torsion in kernels of induced maps on divisor class groups,
with Sandra Spiroff,
Journal of Algebra and its Applications, 14 (2015), no. 8, 23 pp.
arXiv version

Using semidualizing complexes to detect Gorenstein rings,
with Jonathan Totushek,
Archiv der Mathematik (Basel), 104, (2015), no. 6, 523529.
arXiv version

Krull dimension of monomial ideals in polynomial rings with real
exponents,
with Zechariah Andersen,
Communications in Algebra, 43, (2015), no. 8, 34113432.
arXiv version

Contracting endomorphisms and dualizing complexes,
with Saeed Nasseh,
Czechoslovak Mathematical Journal, 65, (2015), no. 3, 837865.
arXiv version

Coherence conditions in flat regular pullbacks,
with Jason Boynton,
Journal of Pure and Applied Algebra, 220, (2016), no. 9, 30673087.
arXiv version

Testing for the Gorenstein property,
with Olgur Celikbas,
Collectanea Mathematica, 67, (2016), no. 3, 555568.
arXiv version

Extended local cohomology and local homology,
with Richard Wicklein,
Algebras and Representation Theory, 19, (2016), no. 5, 12171238.
arXiv version

Support and adic finiteness for complexes,
with Richard Wicklein,
Communications in Algebra, 45, (2017), no. 6, 25692592.
arXiv version

Adic finiteness: bounding homology and applications,
with Richard Wicklein,
Communications in Algebra, 45, (2017), no. 9, 38933916.
arXiv version

Extension groups for DG modules,
with Saeed Nasseh,
Communications in Algebra, 45, (2017), no. 10, 44664476.
arXiv version

Geometric aspects of representation theory for DG algebras: answering a question of Vasconcelos,
with Saeed Nasseh,
Journal of the London Mathematical Society (2), 96, (2017), no. 1, 271292.
arXiv version

Vanishing of Ext and Tor over fiber products,
with Saeed Nasseh,
Proceedings of the American Mathematical Society, 145, (2017), no. 11, 46614674.
arXiv version

Adically finite chain complexes,
with Richard Wicklein,
Journal of Algebra and its Applications, 16 (2017), no. 12, 23 pp.
arXiv version

On the structure of $S_2$ifications of complete local rings,
with Sandra Spiroff,
Rocky Mountain Journal of Mathematics, 48, (2018), no. 3, 947965.
arXiv version

Applications and homological properties of local rings with decomposable maximal ideals,
with Saeed Nasseh, Ryo Takahashi, and Keller VandeBogert,
Journal of Pure and Applied Algebra, 223, (2019), no. 3, 12721287.
arXiv version

Gorenstein injective decompositions over CohenMacaulay rings with
dualizing modules,
with Aaron J. Feickert,
Algebras and Representation Theory, 22, (2019), no. 2, 297–319.
arXiv version

On semidualizing modules of ladder determinantal rings ,
with Tony Se and Sandra Spiroff,
Illinois Journal of Mathematics, 63, (2019), no. 1, 165191.
arXiv version

Homology over trivial extensions of commutative DG algebras,
with Luchezar L. Avramov, Srikanth B. Iyengar,
and Saeed Nasseh,
Communications in Algebra, 47, (2019), no. 6, 23412356. arXiv version.
Because of unprofessional copyediting, I recommend that readers use the arXiv version.

Semidualizing modules of $2 \times 2$ ladder determinantal rings,
with Tony Se and Sandra Spiroff, Journal of Algebra, 538, (2019), 232252.
arXiv version

The Category of Factorization,
with Brandon Goodell,
Applied Categorical Structures, 28, (2020), no. 6, 9751012.
arXiv version

Complete intersection Hom injective dimension,
with Jonathan Totushek,
Algebras and Representation Theory, 24, (2021), no. 1, 149167.
arXiv version

Ladder determinantal rings over normal domains,
with Tony Se and Sandra Spiroff,
Communications in Algebra, 49, (2021), no. 7, 28042828.
arXiv version

Generic constructions and semidualizing modules,
with Tony Se and Sandra Spiroff,
Algebras and Representation Theory, 24, (2021), 10711081.
arXiv version

Adic Foxby classes,
with Richard Wicklein,
Algebras and Representation Theory, 24, (2021), 1155–1189.
arXiv version

Ascent Properties for Test Modules, Contemporary Math,
773, (2021), 153–167.
arXiv version

On Gerko's strongly Torindependent modules,
with Hannah Altmann,
Women in Commutative Algebra  Proceedings of the 2019 WICA Workshop, Association for
Women in Mathematics Series (AWMS), 29, (2021), 110.

Exterior powers and Torpersistence,
with Justin Lyle and Jonathan Montaño,
Journal of Pure and Applied Algebra, 226 (2022), no. 4.
arXiv version

Adic semidualizing complexes,
with Richard Wicklein,
Journal of Algebra and its Applications, 21 (2022), no. 5, 27pp.
arXiv version

Closed neighborhood ideals of finite simple graphs,
with Jacob Honeycutt,
La Matematica, 1 (2022), 387–394.
arXiv version

Persistence of homology over commutative noetherian rings,
with Luchezar L. Avramov, Srikanth B. Iyengar,
and Saeed Nasseh, Journal of Algebra,
610 (2022), 463490.
arXiv version
RESEARCH PAPERS, SUBMITTED

Irreducible divisor pair domains, 23 pages.

Basically regular local homomorphisms, with S. Bouchiba and
S. Kabbaj, 13 pages.
REFEREED LECTURE NOTES AND SURVEYS

A somewhat gentle introduction to differential graded commutative algebra,
with Kristen A. Beck,
Connections between Algebra, Combinatorics, and Geometry,
Springer Proceedings in Mathematics and Statistics 76
(2014), 399.

Applications of Differential Graded Algebra Techniques in Commutative Algebra,
with Saeed Nasseh, 24 pages, to appear in refereed Springer volume (2022).
EDITED VOLUMES

Connections between algebra, combinatorics, and geometry,
coedited with Susan M. Cooper,
Springer Proceedings in Mathematics and Statistics 76
(2014).

Progress in commutative algebra 2. Closures, finiteness and factorization. coedited with Christopher Francisco, Lee Klingler, and Janet C. Vassilev. de Gruyter, 2012.

Progress in commutative algebra 1. Combinatorics and homology. coedited with Christopher Francisco, Lee Klingler, and Janet C. Vassilev. de Gruyter, 2012.
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Last updated
12 Jan 2023