毛雪峰
毛雪峰,教授,博士生导师,xuefengmao@shu.edu.cn,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
教育经历与工作经历:
2020/03-至今,古天乐代言太阳集团,古天乐代言太阳集团数学系,教授
2015/03-2020/02,古天乐代言太阳集团,古天乐代言太阳集团数学系,副教授
2013/04-2014/06, University of Washington, 访问学者
2010/07-2015/02,古天乐代言太阳集团,古天乐代言太阳集团数学系,讲师
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 and M.-Y. Zhang,DG algebra structures on the quantum affine n-space ,J. Algebra 594 (2022), 384-482
[2] X.-F. Mao and H. Wang, Local cohomology for Gorenstein homologically smooth DG algebras, Sci. China Math. https://doi.org/10.1007/s11425-021-2003-2
[3]X.-F. Mao and M.-Y. Zhang,Some dimensions of DG polynomial algebras, Comm. Algebra (5) 48 (2020), 2196-2206
[4] 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
[5]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
[6] 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
[7] 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
[8] 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)
[9] J.-F. Lv, X.-F. Mao and J.-J. Zhang, Nakayama automorphism and applications, Trans. Amer. Math Soc.,(4) 369 (2017),2425-2460
[10] 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
[11] 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
[12] X.-F. Mao, Ghost length, cone length and complete level of DG modules, Acta Math. Sinica,(7) 29 (2013),1279-1310
[13] X.-F. Mao, DG algebra structures on AS-regular algebras of dimension 2,Sci. China Math. (10) 54(2011),2235-2248
[14] X.-F. Mao and Q.-S. Wu, A criterion for Gorenstein algebras to be regular,Proc. Amer. Math Soc. (5)139 (2011),1543-1552
[15] 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
[16] X.-F. Mao and Q.-S. Wu,Compact DG modules and Gorenstein DG algebras, Sci. China Math. (4) 52(2009),648-676
[17] 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:2022.8.26)
毛雪峰
毛雪峰,教授,博士生导师,xuefengmao@shu.edu.cn,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
教育经历与工作经历:
2020/03-至今,古天乐代言太阳集团,古天乐代言太阳集团数学系,教授
2015/03-2020/02,古天乐代言太阳集团,古天乐代言太阳集团数学系,副教授
2013/04-2014/06, University of Washington, 访问学者
2010/07-2015/02,古天乐代言太阳集团,古天乐代言太阳集团数学系,讲师
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 and M.-Y. Zhang,DG algebra structures on the quantum affine n-space ,J. Algebra 594 (2022), 384-482
[2] X.-F. Mao and H. Wang, Local cohomology for Gorenstein homologically smooth DG algebras, Sci. China Math. https://doi.org/10.1007/s11425-021-2003-2
[3]X.-F. Mao and M.-Y. Zhang,Some dimensions of DG polynomial algebras, Comm. Algebra (5) 48 (2020), 2196-2206
[4] 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
[5]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
[6] 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
[7] 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
[8] 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)
[9] J.-F. Lv, X.-F. Mao and J.-J. Zhang, Nakayama automorphism and applications, Trans. Amer. Math Soc.,(4) 369 (2017),2425-2460
[10] 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
[11] 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
[12] X.-F. Mao, Ghost length, cone length and complete level of DG modules, Acta Math. Sinica,(7) 29 (2013),1279-1310
[13] X.-F. Mao, DG algebra structures on AS-regular algebras of dimension 2,Sci. China Math. (10) 54(2011),2235-2248
[14] X.-F. Mao and Q.-S. Wu, A criterion for Gorenstein algebras to be regular,Proc. Amer. Math Soc. (5)139 (2011),1543-1552
[15] 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
[16] X.-F. Mao and Q.-S. Wu,Compact DG modules and Gorenstein DG algebras, Sci. China Math. (4) 52(2009),648-676
[17] 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:2022.8.26)