Refereed Research Papers

• On Ext-indices of ring extensions, with Yuji Yoshino, Journal of Pure and Applied Algebra, 213 (2009), no. 7, 1216-1223.

• Characterization of modules of finite projective dimension via Frobenius functors, with Massoud Tousi and Siamak Yassemi, Manuscripta Mathematica, 130 (2009), no. 4, 425-431.

• Liftings and quasi-liftings of DG modules, with Sean Sather-Wagstaff, Journal of Algebra, 373 (2013), 162-182.

• A note on symmetry in the vanishing of Ext, with Massoud Tousi, Rocky Mountain Journal of Mathematics, 43 (2013), no. 1, 329-341.

• On the Generalized Auslander-Reiten Conjecture under certain ring extensions, Canadian Mathematical Bulletin, 58 (2015), 134-143.

• Cohen factorizations: weak functoriality and applications, with Sean Sather-Wagstaff, Journal of Pure and Applied Algebra (special issue in honor of Hans-Bjørn Foxby), 219 (2015), no. 3, 622-645.

• Contracting endomorphisms and dualizing complexes, with Sean Sather-Wagstaff, Czechoslovak Mathematical Journal, 65 (2015), no. 3, 837-865.

• Extension groups of DG modules, with Sean Sather-Wagstaff, Communications in Algebra, 45 (2017), no. 10, 4466-4476.

• Vanishing of Ext and Tor over fiber products, with Sean Sather-Wagstaff, Proceedings of the American Mathematical Society, 145 (2017), no. 11, 4661-4674.

• Geometric aspects of representation theory for DG algebras: answering a question of Vasconcelos, with Sean Sather-Wagstaff, Journal of the London Mathematical Society, 96 (2017), no. 1, 271-292.

• Weak liftings of DG modules, with Yuji Yoshino, Journal of Algebra, 502 (2018), 233-248.

• Structure of irreducible homomorphisms to/from free modules, with Ryo Takahashi, Algebras and Representation Theory, 21 (2018), no. 2, 471-485.

• Applications and homological properties of local rings with decomposable maximal ideals, with Sean Sather-Wagstaff, Ryo Takahashi, and Keller VandeBogert, Journal of Pure and Applied Algebra, 223 (2019), no. 3, 1272-1287.

• Determinants of incidence and Hessian matrices arising from the vector space lattice, with Alexandra Seceleanu and Junzo Watanabe, Journal of Commutative Algebra, 11 (2019), no. 1, 131-154.

• Homology over trivial extensions of commutative DG algebras, with Luchezar Avramov, Srikanth Iyengar, and Sean Sather-Wagstaff, Communications in Algebra (Lyubeznik special issue), 47 (2019), no. 6, 2341-2356.

• Local rings with quasi-decomposable maximal ideal, with Ryo Takahashi, Mathematical Proceedings of the Cambridge Philosophical Society, 168 (2020), no. 2, 305-322.

• Naive liftings of DG modules, with Maiko Ono and Yuji Yoshino, Mathematische Zeitschrift, 301 (2022), no. 1, 1191-1210.

• The theory of j-operators with application to (weak) liftings of DG modules, with Maiko Ono and Yuji Yoshino, Journal of Algebra, 605 (2022), 199-225.

• Persistence of homology over commutative noetherian rings, with Luchezar Avramov, Srikanth Iyengar, and Keri Sather-Wagstaff,  Journal of Algebra, 610 (2022), 463-490.

• On the semifree resolutions of DG algebras over the enveloping DG algebras, with Maiko Ono and Yuji Yoshino, Communications in Algebra, 52 (2024), no. 2, 657-667.

• Obstruction to naive liftability of DG modules, with Maiko Ono and Yuji Yoshino, Journal of Commutative Algebra (to appear).

• Ring homomorphisms and local rings with quasi-decomposable maximal ideal, with Keri Ann Sather-Wagstaff and Ryo Takahashi, Communications in Algebra (to appear).

• Diagonal tensor algebra and naive liftings, with Maiko Ono and Yuji Yoshino, submitted.

Refereed Book Chapters

• Applications of differential graded algebra techniques in commutative algebra, with Keri Sather-Wagstaff, In: I. Peeva (editor), Commutative algebra: Expository Papers Dedicated to David Eisenbud on the Occasion of his 75th Birthday, 589-616, Springer, Cham, [2021].

Refereed Teaching Papers

• Mathematical writing assignment for deeper understanding and process writing, with Teresa Flateby and Colton Magnant, 2016, DQP (Degree Qualifications Profile) Assignment Library.