• 1.主要课题

   

• 研究方向为代数学，从事簇理论中的Burnside问题，Tarski基问题，Tarski生成问题，子簇格，次直不可约成员，自由对象的模型和自由谱的研究。

• 科研项目

1. 陕西省自然科学基础研究计划项目(2022JM-009): 平坦半环生成的簇，2022.1-2023.12，主持；

2. 国家自然科学基金面上项目(11971383): Tropical 矩阵代数的半群和半环理论与2-闭置换群的研究，2020.1-2023.12，参与；

3. 国家自然科学基金青年项目(11701449): AI-半环簇的Burnside问题和Tarski问题，2018.1-2020.12，主持；

4. 陕西省自然科学基础研究计划项目(2017JQ1033): AI-半环簇的Burnside问题和Tarski基底问题，2017.1-2018.12，主持；

5. 国家自然科学基金面上项目(11571278): Tropical矩阵半群和Tropical矩阵群，2016.1-2019.12，参与。

6. 陕西省教育厅专项科研计划项目(16JK1754): AI-半环簇的有限基底问题的研究，2016.6-2017.12，主持；

7. 西北大学科学研究基金项目(15NW24): AI-半环簇的研究，2016.1-2017.12，主持。

1. Miaomiao Ren, Marcel Jackson, Xianzhong Zhao, Donglin Lei, Flat extensions of groups and limit varieties of additively idempotent semirings, J. Algebra 623 (2023), 64–85.

2. Yanan Wu, Xianzhong Zhao, Miaomiao Ren, On varieties of flat nil-semirings, Semigroup Forum 106 (2023), no. 1, 271–284.

3. Xianzhong Zhao, Yong Shao, Miaomiao Ren, A survey on the study of semiring theory in China, Adv. Math. (China) 51 (2022), no. 5, 781–795.

4. Marcel Jackson, Miaomiao Ren, Xianzhong Zhao, Nonfinitely based ai-semirings with finitely based semigroup reducts, J. Algebra 611 (2022), 211–245.

5. Weina Deng, Miaomiao Ren, Baomin Yu, Linear preservers for matrices over a class of semirings, Linear and Multilinear Algebra 70 (2022), no. 21, 6830–6845.

6. Miaomiao Ren, Xianzhong Zhao, Yong Shao, Varieties of Burnside ai-semirings satisfying $x^n\approx x$. Acta Sci. Math. (Szeged) 87 (2021), no. 1--2, 39–61.

7. Xianzhong Zhao, Miaomiao Ren, Sini\v{s}a Crvenkovi\'{c}, Yong Shao,  Petar Dapi\'{c},The variety generated by an AI-semiring of order three. Ural Math. J. 6 (2020), no. 2, 117–132.

8. Miaomiao Ren, Xianzhong Zhao, Yong Shao,The lattice of ai-semiring varieties satisfying $x^n\approx x$ and $xy\approx yx$. Semigroup Forum 100 (2020), no. 2, 542–567.

9. Miaomiao Ren, Lingli Zeng, On a hereditarily fnitely based ai-semiring variety. Soft Comput. 23, (2019), 6819–6825.

10. Miaomiao Ren, Xianzhong Zhao, Aifa Wang, On the varieties of ai-semirings satisfying $x^3\approx x$. Algebra Universalis 77 (2017), no. 4, 395–408.

11. Miaomiao Ren, Xianzhong Zhao, Yong Shao, On a variety of Burnside ai-semirings satisfying $x^n\approx x$. Semigroup Forum 93 (2016), no. 3, 501–515.

12. Yong Shao, Miaomiao Ren, On semilattices of rectangular bands and groups. Semigroup Forum 93 (2016), no. 1, 201–204.

13. Miaomiao Ren, Xianzhong Zhao, The varieties of semilattice-ordered semigroups satisfying $x^3\approx x$ and $xy\approx yx$. Period. Math. Hungar. 72 (2016), no. 2, 158–170.

14. Aiping Gan, Xianzhong Zhao, Miaomiao Ren, Global determinism of semigroups having regular globals. Period. Math. Hungar. 72 (2016), no. 1, 12–22.

15. Yong Shao, Miaomiao Ren, On the varieties generated by ai-semirings of order two. Semigroup Forum 91 (2015), no. 1, 171–184.

16. Miaomiao Ren, Xianzhong Zhao, On free Burnside ai-semirings. Semigroup Forum 90 (2015), no. 1, 174–183.

1. 陕西省自然科学奖二等奖，2019年。

2. 陕西高等学校科学技术奖一等奖，2014年。

3. 陕西省数学会优秀论文一等奖，2018年。

4. 《纯粹数学与应用数学》楠竹奖励计划优秀论文奖三等奖，2021。