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)