职称 /职务:教授,博士生导师
邮箱:xuefengmao AT shu.edu.cn
电话: 13636350697
研究领域:非交换代数几何,同调代数理论,代数拓扑有理同伦论,微分分次范畴理论,概率论与数理统计等.
工作经历:
2020/03-至今,上海大学,理学院数学系,教授
2015/03-2020/02,上海大学,理学院数学系,副教授
2013/04-2014/06, University of Washington, 访问学者
2010/07-2015/02,上海大学,理学院数学系,讲师
教育经历:
2008/04-2010/06,复旦大学,数理平台博士后流动站,博士后
2002/09-2008/01,复旦大学,数学科学学院,博士
1998/09-2002/06, 浙江师范大学,数理与信息科学学院数学系,本科
代表性科研项目:
1.国家自然科学基金面上项目,11871326,同调光滑DG代数的性质、构造、分类和同调不变量理论研究,2019/01-2022/12,48万元,在研,主持
2.国家自然科学基金青年项目,11001056,微分分次同调新方法及其在有理同伦论中的应用,2011/01-2013/12,17万元,已结题,主持
3.中国博士后科学基金项目第三批特别资助,201003244,微分分次同调代数中的新方法及其应用,2010/12-2011/12,10万元,已结题,主持
4.中国博士后科学基金项目第45批一等资助,20090450066,非交换代数几何中的微分分次同调理论,2009/07-2010/07,5万元,已结题,主持
代表性论著:
[1] X.-F. Mao, X.-T. Wang, Y.-N. Yang and M.-Y. Zhang, Homological properties
of 3-dimensional Sklyanin DG algebras, J. Algebra Appl. https://doi.org/10.1142/S021949882450230X
[2]
X.-F. Mao and G. Ren, Cohomology algebras of a family of DG skew polynomial
algebras, Mathematics, 11, (2023), 1617-pp46.
[3]
X.-F. Mao, X.-T. Wang and M.-Y. Zhang,DG algebra structures on the
quantum affine n-space ok()^n ,J. Algebra
594 (2022), 389-482
[4] X.-F. Mao and H. Wang, Local cohomology for Gorenstein homologically
smooth DG algebras, Sci. China Math. 66 (2023), 1161-1176
[5] X.-F.
Mao and M.-Y. Zhang,Some dimensions of DG polynomial algebras,
Comm. Algebra (5) 48 (2020), 2196-2206
[6]
X.-F. Mao,Y.-N. Yang and J.-W. He,Derived Picard groups of homologically
smooth Koszul DG algebras,J. Algebra
531 (2019), 283-319
[7] X.-F.
Mao,X.-D. Gao,Y.-N. Yang and J.-H. Chen,DG polynomial algebras
and their homological properties,Sci. China Math.
(4) 62 ( 2019), 629-648
[8]
X.-F. Mao, Y.-N. Yang and C.-C. Ye, A sufficient condition for
a connected DG algebra to be Calabi-Yau, Comm. Algebra
(8) 47 (2019), 3028-3296
[9]
X.-F. Mao,J.-F. Xie,Y.-N. Yang and A. Abla, Isomorphism problem
and homological properties of DG-free algebras,Comm. Algebra
(10) 47 ( 2019),4031-4060
[10]
X.-F. Mao,J.-W. He,M. Liu and J.-F. Xie, Calabi-Yau properties
of non-trivial Noetherian DG down-up algebras,J. Algebra Appl.
(5) 17 ( 2018),1850090(1-45)
[11]
J.-F. Lv, X.-F. Mao and J.-J. Zhang, Nakayama automorphism and applications, Trans.
Amer. Math Soc.,(4) 369 (2017),2425-2460
[12]
J.-F. Lv, X.-F. Mao and J.-J. Zhang, Nakayama automorphism of a
class of graded algebras,Israel J. Math.,(2) 219 (2017), 707-725
[13]
J.-W. He and X.-F. Mao, Connected cochain DG algebras of Calabi-Yau
dimension 0,Proc. Amer. Math Soc., (3) 145 (2017),937-953
[14]
X.-F. Mao, Ghost length, cone length and complete level of DG modules, Acta
Math. Sinica,(7) 29 (2013),1279-1310
[15]
X.-F. Mao, DG algebra structures on AS-regular algebras of dimension
2,Sci. China Math.
(10) 54(2011),2235-2248
[16]
X.-F. Mao and Q.-S. Wu, A criterion for Gorenstein algebras to be regular,Proc.
Amer. Math Soc. (5)139 (2011),1543-1552
[17]
X.-F. Mao and Q.-S. Wu,Cone length for DG modules and global dimension
of DG algebras, Comm. Algebra (5) 39 (2011),1536-1562
[18]
X.-F. Mao and Q.-S. Wu,Compact DG modules and Gorenstein DG algebras,
Sci. China Math. (4) 52(2009),648-676
[19]
X.-F. Mao and Q.-S. Wu,Homological invariants for connected DG algebra,Comm.
Algebra (8) 36 (2008),3050-3072
最后更新日期:2023.10.29