姓  名：杨晓燕

职  称：教  授

E-mail：yangxiaoyanzj@outlook.com

研究方向：同调代数、交换代数

个人简介：

杨晓燕，教授，2009年获西北师范大学理学博士学位，南京大学数学博士后，美国犹他大学数学系访问学习1年。研究方向为环的同调理论，已在《J. Algebra》《Forum Math.》《Homology, Homotopy Appl.》《J. Aust. Math. Soc.》等国际知名刊物上发表SCI学术论文50余篇。入选教育部“新世纪优秀人才支持计划”；入选甘肃省“飞天学者特聘计划” 青年学者项目；获批陇原青年创新创业人才个人项目；主持完成国家自然科学基金项目3项。主持完成中国博士后科学基金项目1项；作为牵头人, 荣获甘肃省高校科技进步一等奖1次, 二等奖2次; 作为第2和第4完成人, 荣获甘肃省自然科学三等奖2次; 负责建设的《高等代数》获批甘肃省线上线下混合式一流课程。美国《Math.Review》评论员，甘肃省高等学校大学数学课程教学指导和教材建设委员会秘书长。指导博士研究生4人，授予学位2人；指导硕士研究生33人，授予学位29人。

学术研究：

一、代表性科研论文

1. Yang Xiaoyan and Liu Zhongkui, Strongly Gorenstein projective, injective and flat  modules, J. Algebra 320 (2008) 2659–26742. Yang Xiaoyan and Liu Zhongkui, Gorenstein projective, injective and flat modules, J. Aust. Math. Soc. 87 (2009) 395-407.

3. Yang Xiaoyan and Liu Zhongkui, FP-injective  complexes, Comm. Algebra 38 (2010) 131-142.

4. Yang Xiaoyan and Liu Zhongkui, Gorenstein projective, injective and flat complexes, Comm. Algebra 39 (2011) 1705-1721.

5. Yang Xiaoyan and Liu Zhongkui, D-Gorenstein projective, injective and flat modules, Algebra Colloq. 18 (2011) 273-288.

6. Yang Xiaoyan and Zhao Jianlian, Gorenstein flat and cotorsion dimensions of unbounded complexes, Comm. Algebra 41 (2013) 2978-2990.

7. Yang Xiaoyan, Notes on proper class of triangles, Acta Mathematica Sinica, English Series  29 (2013) 2137-2154.

8. Yang Xiaoyan and Liu ZHongkui, DG-projective, injective and flat complexes, Algebra Colloq. 20 (2013) 155-162.

9. Yang Xiaoyan and Ding Nanqing, On a question of Gillespie, Forum Math. 27 (2015) 3205–3231.

10. Yang Xiaoyan and Ding Nanqing, The homotopy category and derived category of N-complexes, J. Algebra 426 (2015) 430–476.

11. Yang Xiaoyan, Model structures on triangulated categories, Glasgow Math. J. 57 (2015) 263–284.

12. Yang Xiaoyan and Wang Junpeng, The existence of homotopy resolutions of N-complexes, Homology, Homotopy Appl. 17 (2015) 291–316.

13. Yang Xiaoyan, Chen Wenjing, Relative homological dimensions and Tate cohomology of complexes with respect to cotorsion pairs, Comm. Algebra 45 (2017) 2875–2888.

14. Yang Xiaoyan, Cao Tianya, Cotorsion Pairs in CN(A ), Algebra Colloq. 24 (2017) 577-602.

15. Yang Xiaoyan, Rao Yanping, Depth and amplitude for DG-modules, Comm. Algebra 48 (2020) 2051–2064.

16. Yang Xiaoyan,Wang Li, Homological invariants over non-positive DG-rings, J. Algebra Appl. 19 (10) (2020) 1850180 (18 pages).

17. Yang Xiaoyan,Shen Jingwen, Dimension and level of triangulated categories,J. Algebra Appl. 20 (7) (2021) 2150122(14 pages).

18. Yang Xiaoyan,Zhang pinger, Filter depth of complexes, Comm. Algebra. 50 (2022) 1389-1399.

19. Yang Xiaoyan, Cosupport for compactly generated triangulated categories, J.Aust.Math.Soc. doi:10.1017/S1446788722000222

20. Yang Xiaoyan, Li Yanjie, Local Cohen-Macaulay DG-modules, Applied Categorical Structures, (2023) 31:8.

21. Liu Zhongkui  and Yang Xiaoyan, On annihilator ideals of skew monoid rings, Glasgow Math. J. 52 (2010) 161-168.

22. Liu Yanping, Liu Zhongkui and Yang Xiaoyan, Vanishing of Tate homology — an application of stable homology for complexes, Acta Mathematica Sinica, English Series  32 (2016) 831–844.

23.Chen Wenjing, Liu Zhongkui and Yang Xiaoyan, Singularity Categories with Respect to Ding Projective Modules, Acta Mathematica Sinica, English Series, 33 (2017) 793–806.

24. Zhenxing Di, Zhongkui Liu, Xiaoyan Yang, Xiaoxiang Zhang, Triangulated equivalence between a homotopy category and a triangulated quotient category, J. Algebra 506(2018)297-321.

25.Chen Wenjing, Liu Zhongkui and Yang Xiaoyan, Compactly generated triangulated subcategories of homotopy categories induced by cotorsion pairs, J. Algebra Appl. 17 (10) (2018) 1850180 (14 pages).

26. Chen Wenjing, Liu Zhongkui and Yang Xiaoyan, Recollements associated to cotorsion pairs, J. Algebra Appl. 17 (1) (2018) 11850141 (15 pages).

27. Zhang Wanru, Liu Zhongkui and Yang Xiaoyan, Foxby equivalences associated to Gorenstein categories G(X,Y,Z), Comm. Algebra 46 (2018) 4042–4051.

28. Chen Wenjing, Liu Zhongkui and Yang Xiaoyan, A new method to construct model structures from a cotorsion pair, Comm. Algebra 47(2019) 4420-4431.

29. Xie Zongyang, Liu Zhongkui and Yang Xiaoyan, Relative Oppermann-Thomas Cluster Tilting Objects in (n+2)-Angulated Categories, Applied Categorical Structures, 2022, https://doi.org/10.1007/s10485-022-09673-1.

30. Xie Zongyang, Liu Zhongkui and Yang Xiaoyan, The existence of n-Auslander-Reiten sequences via determined morphisms, J. Algebra Appl. 22(1) (2023) 2350031 (35 pages).

31. Shen Jingwen,Zhang pinger and Yang Xiaoyan, Coartinianness of local homology modules for ideals of small dimension, 2023, 2350212 (15 pages)

32. Rao Yanping,Liu Zhongkui and Yang Xiaoyan, Chen Wenjing, Depth and Width for Unbounded DG-Modules, Algebra Colloq. 30(1) (2023) 61-72.

33. Shen Jingwen, Yang Xiaoyan, The a-filter graded of an ideal b and (a,b)-f- modules, Front. Math. China 18(2) (2023) 503-512.

二、主持完成的科研项目

[1] 2013年新世纪优秀人才支持计划, 教育部，批准号：NCET-13-0957, 2014.01—2016.12。

[2]甘肃省“飞天学者特聘计划” 青年学者项目，2019.02.20—2022.02.20。

[3] 杨晓燕，乔虎生，吴德军，Hopf代数上的Gorenstein同调性质，青年科学基金项目，批准号：11001222，2011.01—2013.12。

[4] 杨晓燕,刘仲奎,赵仁育,张翠萍,同伦范畴的recollement、余(t)-结构和同调维数理论, 国家自然科学基金项目，批准号：10361051, 2014.01—2017.12。

[5] 杨晓燕,张翠萍,武斌, 微分分次范畴的同调维数、recollements和Morita理论, 国家自然科学基金项目，批准号：11761060, 2018.01—2021.12。

[6] 杨晓燕, Grothendieck范畴中复形的同调维数，中国博士后科学基金资助项目，批准号: 2012M511713, 2011.9—2013.7。

[7] 杨晓燕,“三角范畴的支撑和余支撑”入选陇原青年创新创业人才个人项目，2020.03—2021.02。

其 他：

主讲本科生课程：高等代数、近世代数、线性代数

主讲研究生课程：同调代数、交换代数、导出范畴、微分分次范畴

2022年负责建设的《高等代数I》获批甘肃省线上线下混合式一流课程

2021—2025年甘肃省高等学校大学数学课程教学指导和教材建设委员会秘书长