Research Papers

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

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

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

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

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

6. 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.

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

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

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

10. 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. (This paper solved a 40-year-old conjecture posed by Vasconcelos.)

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

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

13. 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.

14. 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.

15. 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.

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

17. 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].

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

19. 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.

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

21. 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.

22. Ring homomorphisms and local rings with quasi-decomposable maximal ideal, with Keri Ann Sather-Wagstaff and Ryo Takahashi, Communications in Algebra, 52 (2024), no. 10, 4295-4313.

23. Obstruction to naive liftability of DG modules, with Maiko Ono and Yuji Yoshino, Journal of Commutative Algebra, 16 (2024), no. 4, 459-475.

24. Diagonal tensor algebra and naive liftings, with Maiko Ono and Yuji Yoshino, Journal of Pure and Applied Algebra, 229 (2025), no. 1, Paper No. 107808.

25. The Atiyah class of a DG module and naive liftings, with Maiko Ono and Yuji Yoshino, Proceedings of the 56th Symposium on Ring Theory and Representation Theory, Koganei, 2025, 97-100.

26. Tor algebra of local rings with decomposable maximal ideal, with Maiko Ono and Yuji Yoshino, Archiv der Mathematik, 126 (2026), 127-137.

27. Vector space summands of lower syzygies, with Mohsen Asgharzadeh, Michael DeBellevue, Souvik Dey, and Ryo Takahashi, submitted.

28. Semi-fiber products of algebras and lifting of complexes, with Maiko Ono and Yuji Yoshino, submitted.

29. Connections and naive lifting of DG modules, with Maiko Ono and Yuji Yoshino, submitted.

Teaching Papers

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