主持科研项目：

2. 国家自然科学基金(青年基金): Artin-Schelter正则代数的量子对称性及不变子代数研究, 2018.01-2020.12, 在研.

1. 国家自然科学基金(数学天元青年基金): Artin-Schelter正则代数的构造及相关性质研究, 2017.01-2017.12, 结题.

发表论文：

14. Yi Shen, Chenyun Yu, Yuan Shen and Song Li, An open problem on sparse representations in unions of bases, to appear in IEEE Trans. Inform. Theory, 2022.

13. Y. Shen and Y. Guo,  The Calabi-Yau property of Ore extensions of two-dimensional Artin-Schelter regular algebras and their PBW deformations, to appear in C. R. Math. Acad. Sci. Paris, 2022.

12. Y. Shen and Y. Guo,  Nakayama automorphisms of graded Ore extensions of Koszul Artin-Schelter regular algebras, J. Algebra, 579 (2021), 115-151.

11. Y. Shen and X. Zheng,  Universal enveloping algebras of generalized Poisson-Ore extensions, Rocky Mountain J. Math., 51(2) (2021), 747-760.

10. G.-S. Zhou, Y. Shen and D.-M. Lu, The structure of connected (graded) Hopf algebras, Adv. Math., 372 (2020), 107292.

9. G.-S. Zhou, Y. Shen and D.-M. Lu, Skew Calabi-Yau property of normal extensions, Manuscripta Math., 161 (2020), 125-140.

8. G.-S. Zhou, Y. Shen and D.-M. Lu, Behavior of the Auslander condtion with respect to regradings, J. Algebra Appl., 18(9) (2019), 1950168 (31 pages).

7. Y. Shen, Graded Lie algebras of dimension five and some Artin-Schelter regular algebras, Algebra Colloquium, 26(2) (2019), 243-258.

6. X. Wang and Y. Shen, Artin-Schelter regularity of twisted tensor products, Front. Math. China, 13(5) (2018), 1141-1167.

5. Y. Shen, X. Wang and G.-S. Zhou, Ext-algebras of graded skew extensions, Results Math., 73 (2018), Article: 115.

4. Y. Shen, G-S. Zhou and D.-M. Lu, Nakayama automorphisms of twisted tensor products, J. Algebra, 504 (2018), 445-672.

3. Y. Shen and D.-M. Lu, Nakayama automorphisms of PBW deformations and Hopf actions, Sci China Math, 59(4) (2016), 661-672.

2. Y. Shen, G.-S. Zhou and D.-M. Lu, Regularity criterion and classification for algebras of Jordan type, Glasgow Math. J., 58 (2016), 69-95.

1. Y. Shen, G-S. Zhou and D.-M. Lu, Homogeneous PBW deformation for Artin-Schelter regular algebras,  Bull. Aust. Math. Soc., 91 (2015), 53-68.