Research

The Taylor resolution over a skew polynomial ring
with Luigi Ferraro and Desiree Martin
To appear in Journal of Algebra and its Applications

Semisimple Reflection Hopf Algebras of Dimension Sixteen
with Luigi Ferraro, Ellen Kirkman, and Robert Won
Algebras and Representation Theory 25 (2022), no. 3, 615--647

Support varieties over skew complete intersections via derived braided Hochschild cohomology
with Luigi Ferraro and Josh Pollitz
Journal of Algebra 596 (2022), 89--127.

Totally acyclic approximations
with Petter Bergh and David Jorgensen
Applied Categorical Structures 29 (2021), no. 4, 729--745

On the Noether Bound for Noncommutative Rings
with Luigi Ferraro, Ellen Kirkman, and Kewen Peng
Proceedings of the AMS 149 (2021), no. 7, 2711--2725

A converse to a construction of Eisenbud-Shamash
with Petter Bergh and David Jorgensen
Journal of Commutative Algebra 12 (2020), no. 4, 467--477

Differential graded algebra over quotients of skew polynomial rings by normal elements
with Luigi Ferraro
Transactions of the AMS 343 (2020), no. 11, 7755--7784

Three infinite families of reflection Hopf algebras
with Luigi Ferraro, Ellen Kirkman, and Robert Won
Journal of Pure and Applied Algebra 224 (2020), no. 8, 34 pp.

Noncommutative Knörrer Periodicity and Noncommutative Kleinian Singularities
with Andrew Conner, Ellen Kirkman, and Chelsea Walton
Journal of Algebra 540 (2019), 234--273

Auslander's Theorem for permutation actions on noncommutative algebras
with Jason Gaddis, Ellen Kirkman, and Robert Won
Proceedings of the AMS 147 (2019) no. 5, 1881--1896

Monomial Ideals and Their Decompositions
with Mark Rogers and Keri Sather-Wagstaff, Springer Universitext (2018)

On the discriminant of twisted tensor products
with Jason Gaddis, and Ellen Kirkman
Journal of Algebra 477 (2017), 29--55.

Periodic free resolutions from twisted matrix factorizations
with Tom Cassidy, Andrew Connor, and Ellen Kirkman
Journal of Algebra 455 (2016), 137--163.

Finiteness conditions on the Yoneda algebra of a monomial algebra
with Andrew Conner, Ellen Kirkman, and James Kuzmanovich
Journal of Pure and Applied Algebra 218 (2014), no. 1, 52--64.

Moment angle complexes and big Cohen-Macaulayness
with Shisen Luo, and Tomoo Matsumura
Algebraic and Geometric Topology 14 (2014), no. 1, 379--406.

Connected sums of simplicial complexes and equivariant cohomology
with Tomoo Matsumura
Osaka Journal of Mathematics 51 (2014), no. 2, 405--423.

The vanishing of a higher codimension analog of Hochster's theta invariant
with Greg Peipmeyer, Sandra Spiroff, and Mark E. Walker
Mathematische Zeitschrift 273 (2013), no. 3-4, 907--920.

Connected sums of Gorenstein local rings
with Luchezar L. Avramov, and H. Anantharayan
Journal f\"ur die reine und angewandte Mathematik (Crelle's journal) 667 (2012), 149--176.

Hochster's theta function and the Hodge-Riemann bilinear relations
with Greg Peipmeyer, Sandra Spiroff, and Mark E. Walker
Advances in Mathematics 226 (2011), no. 2, 1692--1714.

Minimal intersections and vanishing (co)homology
with David A. Jorgensen
Journal of Commutative Algebra 3 (2009), no. 3, 507--536.

Cohomology over fiber products of local rings
Journal of Algebra 321 (2009), no. 3, 758--773.