何济位

姓名： 何济位

职称： 教授

邮箱： jiweihe@163.com

个人简介：博士生导师，浙江大学数学系获理学博士学位，主要研究兴趣为Artin-Schelter正则代数、非交换奇点理论、Hopf代数作用的不变量理论等。

研究方向：非交换代数

教学与课程：高等代数、近世代数、同调代数

承担课题：

[1]国家自然科学基金面上项目：非交换超曲面代数的形变和广义Clifford代数，No.12371017, 2024.01-2027.12. 主持

[2]国家自然科学基金面上项目：Gorenstein不变子代数和非交换Klein奇点的范畴刻画，No. 11971141, 2020.01-2023.12. 主持

[3]浙江省自然科学基金面上项目：不变子代数的奇点表示和Poisson整序，No.LY19A010011,2019.01-2021.12. 主持

[4]国家自然科学基金面上项目：分次Calabi-Yau代数的有限群作用及其不变子代数，No.11571239，2016.01-2019.12. 主持

[5]浙江省自然科学基金面上项目：分次凝聚代数的Gorenstein性质及其形变, No. LY12A01013, 2012.01-2013.12. 主持

[6]浙江省钱江人才项目：二次代数的形变和辛反射代数，No. 2011R10051, 2011.08-2013.12. 主持

[7]教育部留学归国基金：Koszul代数的形变和Calabi-Yau性质，43批，2012.01-2013.12. 主持

[8]国家自然科学基金青年项目：Calabi-Yau代数和非交换代数几何中若干相关问题的研究. No. 10801099, 2009.01-2011.12. 主持

学术研究：

[1]     J. He, Y. Ye, Clifford deformations of Koszul Frobenius algebras and noncommutative quadrics, Algebra Colloq. 31(1) (2024), 63-82.

[2]     J.-W. He, C. Rong, Frobenius modules associated to algebra automorphisms, Mathematics, 12 (2024), doi.org/10.3390/math12040531.

[3]     J.-W. He, K. Ueyama, Twisted Segre products, J. Aglebra 611 (2022), 528-560.

[4]     J.-W. He, Y. Ye, Pre-resolutions of noncommutative isolated singularities, Pacific J. Math. 316 (2022), 367-394.

[5]     J.-W. He, H. Hu, Psuedo-strongly graded algebras associated to Ore sets, Comm. Algebra 50 (2022), 423-432.

[6]     B. Zhang, J.-W. He, Graded derived equivalences, Mathematics, 10 (2022), doi.org/10.3390/math10010103.

[7]     J.-W. He, X.-J. Xia, Constructions of graded Frobenius algebras, J. Algebra Appl. Vol. 19(5) (2020), 2050081.

[8]     J.-W. He, Y. Zhang, Cohen-Macaulay invariant subalgebras of Hopf dense Galois extensions, Contemp. Math. 728 (2019), 119-235.

[9]     X.-F. Mao, Y.-N. Yang, J.-W. He, Derived Picard groups of homologically smooth Koszul DG algebras, J. Algebra 531 (2019), 283-319.

[10]   Y.-H. Bao, J.-W. He, J. J. Zhang, Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras, J. Noncommut. Geom. 13 (2019), 667-710.

[11]   J.-W. He, Y. Zhang, Local cohomology associated to the radical of a group action on a Noetherian algebra, Isr. J. Math., DOI: 10.1007/s11856-019-1855-9, 2019.

[12]   Y.-H. Bao, J.-W. He, J. J. Zhang, Noncommutative Auslander Theorem, Trans. Amer. Math. Soc. 370 (2018), 8613-8638.

[13]   Mao, X.-F.; He, J.-W.; Liu, M.; Xie, J.-F., Calabi-Yau properties of nontrivial Noetherian DG down-up algebras. J. Algebra Appl. 17 (2018).

[14]   Mao, Xue Feng; He, Ji Wei, A special class of Koszul Calabi-Yau DG algebras. (Chinese) Acta Math. Sinica (Chin. Ser.) 60 (2017), no. 3, 475–504.

[15]   J.-W. He, X.-F. Mao, Connected cochain DG algebras of Calabi-Yau dimension 0, Proc. Amer. Math. Soc. 145 (2017), 937-953.

[16]   J.-W. He, F. Van Oystaeyen, Y. Zhang, Hopf dense Galois extensions with applications, J. Algebra 476 (2017), 134-160.

[17]   J.-W. He, F. Van Oystaeyen, Y. Zhang, Deformations of Koszul algebras over a nonsemisimple ring, Math. Z. 279 (2015), 185-210.

[18]   J.-W. He, F. Van Oystaeyen, Y. Zhang, Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras, Proc. Amer. Math. Soc., 143 (2015), 1423-1434.

[19]   J.-W. He, F. Van Oystaeyen, B. Torrecilas, Y. Zhang, Dualizing complexes of Noetherian complete algebras via coalgebras, Comm. Algebra 42 (2014), 271-285.

[20]   J.-W. He, F. Van Oystaeyen, Y. Zhang, Deformations of Koszul Artin-Schelter Gorenstein algebras, Manuscripta Math. 141 (2013), 463-483.

[21]   J.-W. He, F. Van Oystaeyen, Y. Zhang, Skew polynomial algebras with coefficients in Artin-Schelter regular algebras, J. Algebra 390 (2013), 231-249.

[22]   J.-W. He, F. Van Oystaeyen, Y. Zhang, Calabi-Yau algebras and their deformations, Bull. Math. Soc. Sci. Math. Roumanie Tome 56(104) (3) (2013), 335-347.

[23]   J.-W. He, Y. Ye, Finite dimensional Koszul algebras and Beilinson algebras, preprint, 2012.

[24]   J.-W. He, F. Van Oystaeyen, B. Torrecilas, Y. Zhang, Calabi-Yau coalgebras, Comm. Algebra 39 (2011), 4644-4661.

[25]   X.-L. Yu, J.W. He, Indecomposable Calabi-Yau objects of stable module categories of finite type, Chin. Ann. Math. (B) 32 (2011), 793-802.

[26]   J.-W. He, S. Zhang, Deformations of quadratic algebras with anti-symmetric relations, Comm. Algebra 39 (2011), 2137-2149.

[27]   J.-W. He, F. Van Oystaeyen, Y. Zhang, Hopf algebra actions on differential graded algebras and applications, Bulletin of Belgian Math. Soc. 18 (2011), 99-111.

[28]   J.-W. He, F. Van Oystaeyen, Y. Zhang, Cocommutative Calabi-Yau Hopf algebras and deformations, J. Algebra 324 (2010), 1921-1939.

[29]   J.-W. He, F. Van Oystaeyen, Y. Zhang, Derived H-module endomorphism rings, Glasgow Math. J. 52 (2010), 649-661.

[30]   J.-W. He, Q.-S. Wu, Koszul differential graded algebras and BGG correspondence II, Chinese Ann. Math. Series B 31 (2010), 133-144.

[31]   J.-W. He, Q.-S. Wu, Koszul differential graded modules, Science in China Series A 52 (2009), 2027-2035.

[32]   J.-W. He, Q.-S. Wu, Koszul differential graded algebras and BGG correspondence, J. Algebra 320 (2008), 2934-2962.

[33]   J.-W. He, Q.-S. Wu, Koszul differential graded algebras and modules, Ring Theory (2007), 69-91. Proceedings of 5th China-Japa-Korea International Symposium on Ring Theory.

[34]   Ji-Wei He, Yu Ye, On the Yoneda Ext-algebras of semiperfect algebras, Algebra Colloq. 15, 207-222, 2008 .

[35]   Jia-Feng Lu, Ji-Wei He, Di-Ming Lu, Piece-wise Koszul algebras, Science in China 50, 1795-1804, 2007.

[36]   Jia-Feng Lu, Ji-Wei He, Di-Ming Lu，On modules with d-Koszul towers，Chinese Ann. Math. A 28(2), 231-238, 2007.

[37]   Ji-Wei He, Di-Ming Lu, Higher Koszul algebras and A-infinity algebras, J. Algebra 293(2)，335-362，2005.