毛雪峰

11AA4

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 algebrasJ. 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

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