Research, Papers, and Preprints of Keri Ann Sather-Wagstaff
Click for: DEI PUBLICATIONS
  1. Transgender and Nonbinary Mathematics Pride , invited essay, Notices of the AMS, invited essay, 70 (2023), no. 6, 894–896.
  2. On Best Practices for the Recruitment, Retention, and Flourishing of LGBTQ+ Mathematicians , invited article, with R. Buckmire, A. Folsom, C. Goff, A. Hoover, and J. Nakao, Notices of the AMS, invited essay, , 70 (2023), no. 6, 979–985.
  3. Pride and Safety for Transgender and Nonbinary People , invited essay, MAA FOCUS 43 (2023) no. 3, 26–28.
RESEARCH TOPICS RESEARCH SUMMARIES REFEREED RESEARCH PAPERS, APPEARED
  1. Multiplicities and a dimension inequality for unmixed modules , Journal of Algebra 238 (2001), 372-388. arXiv version
  2. A dimension inequality for Cohen-Macaulay rings , Transactions of the American Mathematical Society 354 (2002), 993-1005.
  3. Intersections of symbolic powers of prime ideals , Journal of the London Mathematical Society (2) 65 (2002), no. 3, 560--574. arXiv version
  4. On symbolic powers of prime ideals , Commutative algebra. Interactions with Algebraic Geometry, Contemporary Math. 331 (2003), 329-342.
  5. G-dimension over local homomorphisms. Applications to the Frobenius endomorphism , with Srikanth Iyengar, Illinois Journal of Mathematics 48 (2004), no. 1, 241--272. arXiv version
  6. Complete intersection dimensions for complexes , Journal of Pure and Applied Algebra 190 (2004), no. 3, 267--290. arXiv version
  7. 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, 99--108. arXiv version
  8. The set of semidualizing complexes is a nontrivial metric space , with Anders Frankild, Journal of Algebra 308 (2007), no. 1, 124-143. arXiv version
  9. Reflexivity and ring homomorphisms of finite flat dimension , with Anders Frankild. Communications in Algebra 35 (2007), no. 2, 461--500. arXiv version
  10. Semidualizing modules and the divisor class group , Illinois Journal of Mathematics 51 (2007), no. 1, 255-285. arXiv version
  11. Detecting completeness from Ext-vanishing , with Anders J. Frankild, Proceedings of the American Mathematical Society 136 (2008), no. 7, 2303-2312. arXiv version.
  12. Stability of Gorenstein categories , with Tirdad Sharif and Diana White, Journal of the London Mathematical Society (2) 77 (2008), no. 2, 481-502. arXiv version.
  13. An Euler characteristic for modules of finite G-dimension , with Diana White, Mathematica Scandinavica 102 (2008), no. 2, 206-230.
  14. Ascent of module structures, vanishing of Ext, and extended modules , with Anders J. Frankild and Roger A. Wiegand, Michigan Mathematical Journal, 57 (2008), 321--337. arXiv version
  15. Complete intersection dimensions and Foxby classes , Journal of Pure and Applied Algebra 212 (2008), no. 12, 2594-2611. arXiv version
  16. A Cohen-Macaulay algebra has only finitely many semidualizing modules , with Lars Winther Christensen, Mathematical Proceedings of the Cambridge Philosophical Society 145 (2008), no. 3, 601-603. arXiv version
  17. Gorenstein cohomology in abelian categories , with Tirdad Sharif and Diana White, Journal of Mathematics of Kyoto University, 48 (2008), no. 3, 571-596.
  18. Relations between semidualizing complexes , with Anders J. Frankild and Amelia Taylor, Journal of Commutative Algebra, 1 (2009), no. 3, 393-436. arXiv version
  19. Maps on divisor class groups induced by ring homomorphisms of finite flat dimension, with Sandra Spiroff, Journal of Commutative Algebra, 1 (2009), no. 3, 567-590. arXiv Version
  20. Modules of finite homological dimension with respect to a semidualizing module , with Siamak Yassemi, Archiv der Mathematik (Basel), 93 (2009), no. 2, 111-121. arXiv version
  21. Descent via Koszul extensions , with Lars Winther Christensen, Journal of Algebra, 322 (2009), no. 9, 3026-3046. arXiv version
  22. Bass numbers and semidualizing complexes , Commutative Algebra and its Applications, de Gruyter, (2009), 349-381. arXiv version
  23. Transfer of Gorenstein dimensions along ring homomorphisms , with Lars Winther Christensen, Journal of Pure and Applied Algebra, 214, (2010), no. 6, 982-989. arXiv version
  24. Comparison of relative cohomology theories with respect to semidualizing modules , with Tirdad Sharif and Diana White, Mathematische Zeitschrift, 264, (2010), no. 3, 571-600. arXiv version
  25. Tate cohomology with respect to semidualizing modules, with Tirdad Sharif and Diana White, Journal of Algebra, 324, (2010), no. 9, 2336-2368. arXiv version
  26. Rings that are homologically of minimal multiplicity , with Keivan Borna and Siamak Yassemi, Communications in Algebra, 39, (2011), no. 3, 782-807. arXiv version
  27. AB-contexts 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, 403-428. arXiv version
  28. 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, 2486--2503. arXiv version
  29. Second symmetric powers of chain complexes , with Anders J. Frankild and Amelia Taylor, Bulletin of the Iranian Mathematical Society, 37 (2011), no. 3, 39-75. arXiv version
  30. Lower bounds for the number of semidualizing complexes over a local ring , Mathematica Scandinavica 110 (2012), no. 1, 5-17. arXiv version
  31. Presentations of rings with non-trivial semidualizing modules, with David A. Jorgensen and Graham J. Leuschke, Collectanea Mathematica 63 (2012), no. 2, 165-180. arXiv version
  32. Regular pullbacks, with Jason Boynton, Progress in Commutative Algebra 2, de Gruyter (2012), 145-169.
  33. On zero divisor graphs, with Jim Coykendall, Laura Sheppardson, and Sandra Spiroff, Progress in Commutative Algebra 2, de Gruyter (2012), 241-299.
  34. Liftings and quasi-liftings of DG modules, with Saeed Nasseh, Journal of Algebra, 373 (2013), 162-182. arXiv version
  35. Embedding modules of finite homological dimension, Glasgow Mathematical Journal, 55 (2013), no. 1, 85-96. arXiv version
  36. Edge ideals of weighted graphs, with Chelsey Paulsen, Journal of Algebra and its Applications, 12 (2013), no. 5, p-q. arXiv version
  37. Krull dimension for differential graded algebras, with Kristen A. Beck, Archiv der Mathematik (Basel), 101, (2013), no. 2, 111-119. arXiv version
  38. Decompositions of monomial ideals in real semigroup rings, with Daniel Ingebretson, Communications in Algebra, 41, (2013), no. 11, 4363-4377. arXiv version
  39. Multiplicities of semidualizing modules, with Susan M. Cooper, Communications in Algebra, 41, (2013), no. 12, 4549-4558. arXiv version
  40. Homology of artinian and Matlis reflexive modules, II, with Bethany Kubik and Micah J. Leamer, Journal of Algebra, 403, (2014), no. 1, 229-272. arXiv version
  41. 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), 103-120. (The arXiv version is 29 pages long and contains more details.)
  42. NAK for Ext and ascent of module structures, with Benjamin J. Anderson, Proceedings of the American Mathematical Society, 142 (2014), 1165-1174. arXiv version
  43. Ascent properties for pairs of modules, Archiv der Mathematik (Basel), 103 (2014), 211-218. arXiv version
  44. Reflexivity and connectedness, Glasgow Mathematical Journal, 57, (2014), no. 1, 231-240. arXiv version
  45. Cohen factorizations: weak functoriality and applications, with Saeed Nasseh, Journal of Pure and Applied Algebra, 219 (2015), no. 3, 622-645. arXiv version
  46. Path ideals of weighted graphs, with Bethany Kubik, Journal of Pure and Applied Algebra, 219 (2015), no. 9, 3889-3912. arXiv version
  47. 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
  48. Using semidualizing complexes to detect Gorenstein rings, with Jonathan Totushek, Archiv der Mathematik (Basel), 104, (2015), no. 6, 523-529. arXiv version
  49. Krull dimension of monomial ideals in polynomial rings with real exponents, with Zechariah Andersen, Communications in Algebra, 43, (2015), no. 8, 3411-3432. arXiv version
  50. Contracting endomorphisms and dualizing complexes, with Saeed Nasseh, Czechoslovak Mathematical Journal, 65, (2015), no. 3, 837-865. arXiv version
  51. Coherence conditions in flat regular pullbacks, with Jason Boynton, Journal of Pure and Applied Algebra, 220, (2016), no. 9, 3067-3087. arXiv version
  52. Testing for the Gorenstein property, with Olgur Celikbas, Collectanea Mathematica, 67, (2016), no. 3, 555-568. arXiv version
  53. Extended local cohomology and local homology, with Richard Wicklein, Algebras and Representation Theory, 19, (2016), no. 5, 1217-1238. arXiv version
  54. Support and adic finiteness for complexes, with Richard Wicklein, Communications in Algebra, 45, (2017), no. 6, 2569-2592. arXiv version
  55. Adic finiteness: bounding homology and applications, with Richard Wicklein, Communications in Algebra, 45, (2017), no. 9, 3893-3916. arXiv version
  56. Extension groups for DG modules, with Saeed Nasseh, Communications in Algebra, 45, (2017), no. 10, 4466-4476. arXiv version
  57. 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, 271-292. arXiv version
  58. Vanishing of Ext and Tor over fiber products, with Saeed Nasseh, Proceedings of the American Mathematical Society, 145, (2017), no. 11, 4661-4674. arXiv version
  59. Adically finite chain complexes, with Richard Wicklein, Journal of Algebra and its Applications, 16 (2017), no. 12, 23 pp. arXiv version
  60. On the structure of $S_2$-ifications of complete local rings, with Sandra Spiroff, Rocky Mountain Journal of Mathematics, 48, (2018), no. 3, 947-965. arXiv version
  61. 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, 1272-1287. arXiv version
  62. Gorenstein injective decompositions over Cohen-Macaulay rings with dualizing modules, with Aaron J. Feickert, Algebras and Representation Theory, 22, (2019), no. 2, 297–319. arXiv version
  63. On semidualizing modules of ladder determinantal rings , with Tony Se and Sandra Spiroff, Illinois Journal of Mathematics, 63, (2019), no. 1, 165-191. arXiv version
  64. 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, 2341-2356. arXiv version.
    Because of unprofessional copy-editing, I recommend that readers use the arXiv version.
  65. Semidualizing modules of $2 \times 2$ ladder determinantal rings, with Tony Se and Sandra Spiroff, Journal of Algebra, 538, (2019), 232-252. arXiv version
  66. The Category of Factorization, with Brandon Goodell, Applied Categorical Structures, 28, (2020), no. 6, 975-1012. arXiv version
  67. Complete intersection Hom injective dimension, with Jonathan Totushek, Algebras and Representation Theory, 24, (2021), no. 1, 149-167. arXiv version
  68. Ladder determinantal rings over normal domains, with Tony Se and Sandra Spiroff, Communications in Algebra, 49, (2021), no. 7, 2804-2828. arXiv version
  69. Generic constructions and semidualizing modules, with Tony Se and Sandra Spiroff, Algebras and Representation Theory, 24, (2021), 1071-1081. arXiv version
  70. Adic Foxby classes, with Richard Wicklein, Algebras and Representation Theory, 24, (2021), 1155–1189. arXiv version
  71. Ascent Properties for Test Modules, Contemporary Math, 773, (2021), 153–167. arXiv version
  72. On Gerko's strongly Tor-independent modules, with Hannah Altmann, Women in Commutative Algebra - Proceedings of the 2019 WICA Workshop, Association for Women in Mathematics Series (AWMS), 29, (2021), 1-10.
  73. Exterior powers and Tor-persistence, with Justin Lyle and Jonathan Montaño, Journal of Pure and Applied Algebra, 226 (2022), no. 4. arXiv version
  74. Adic semidualizing complexes, with Richard Wicklein, Journal of Algebra and its Applications, 21 (2022), no. 5, 27pp. arXiv version
  75. Closed neighborhood ideals of finite simple graphs, with Jacob Honeycutt, La Matematica, 1 (2022), 387–394. arXiv version
  76. Persistence of homology over commutative noetherian rings, with Luchezar L. Avramov, Srikanth B. Iyengar, and Saeed Nasseh, Journal of Algebra, 610 (2022), 463-490. arXiv version
RESEARCH PAPERS, SUBMITTED
  1. Irreducible divisor pair domains, 23 pages.
  2. Basically regular local homomorphisms, with S. Bouchiba and S. Kabbaj, 13 pages.
REFEREED LECTURE NOTES AND SURVEYS
  1. 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), 3-99.
  2. Applications of Differential Graded Algebra Techniques in Commutative Algebra, with Saeed Nasseh, 24 pages, to appear in refereed Springer volume (2022).
EDITED VOLUMES
  1. Connections between algebra, combinatorics, and geometry, co-edited with Susan M. Cooper, Springer Proceedings in Mathematics and Statistics 76 (2014).
  2. Progress in commutative algebra 2. Closures, finiteness and factorization. co-edited with Christopher Francisco, Lee Klingler, and Janet C. Vassilev. de Gruyter, 2012.
  3. Progress in commutative algebra 1. Combinatorics and homology. co-edited with Christopher Francisco, Lee Klingler, and Janet C. Vassilev. de Gruyter, 2012.
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Last updated 09 Jun 2023