Welcome to Jian Liu (刘剑)’s Homepage！

Publications and Preprints

11. "Openness with respect to levels in triangulated categories", with Souvik Dey and Liran Shaul, arXiv version.

10. "Annihilation of cohomology and (strong) generation of singularity categories", with Souvik Dey, Yuki Mifune, and Yuya Otake, arXiv version.

9. "Classifying thick subcategories over a Koszul complex via the curved BGG correspondence", with Josh Pollitz, arXiv version.

8. "Gorenstein local rings whose cohomological annihilator is the maximal ideal", with Souvik Dey, submitted.

7. "Ascent and descent of Gorenstein homological properties", with Wei Ren, arXiv version.

6. "Annihilators and dimensions of the singularity category", Nagoya Mathematical Journal 2023, Published Pdf and arXiv version.

5 "A partial converse ghost lemma for the derived category of a commutative noetherian ring" with Josh Pollitz, Proceedings of the American Mathematical Society 2023, Published Pdf and arXiv version.

4. "Triangulated categories of periodic complexes and orbit categories", Czechoslovak Mathematical Journal 2023, Published Pdf and arXiv version.

3 "Exceptional complete intersection maps of local rings" with Srikanth Iyengar, Janina Letz, and Josh Pollitz, Pacific Journal of Mathematics 2022, Published Pdf and arXiv version.

2. "Singular equivalences induced by bimodules and quadratic monomial algebras" with Xiao-Wu Chen and Ren Wang, Algebras and Representation Theory 2021, Published Pdf and arXiv version.

1. "Duality and symmetry of complexity over complete intersections via exterior homology" with Josh Pollitz, Proceedings of the American Mathematical Society 2021, Published Pdf and arXiv version.