中国科学技术大学数学学院导师介绍:叶郁
叶郁副教授 所在系 数学系
叶郁副教授 | |
所在系 | 数学系 |
研究方向 | 代数 |
办公室 | 1323 |
办公电话 | ************* |
电子邮件 | yeyu@ustc.edu.cn |
个人主页 |
个人简介
1993至2002年在中国科技大学数学系学习,2002年7月被授予理学博士学位,导师冯克勤教授、章璞教授。2002年7月起留中国科学技术大学数学系任教,2005年12月晋升为副教授。
主要研究兴趣:代数表示论,同调与同伦理论,Hopf代数及量子化代数。
工作简历
1999.3-1999.7 香港大学数学系,研究助理。
2000.2-2000.7 香港大学数学系,研究助理。
2001.3-2001.7 香港大学数学系,研究助理。
2004.1-2004.5 法国高等研究院(IHES),K.C.Wong Fellowship。
2007.1-2008.9 德国Paderborn大学,洪堡学者。
2002.7- 中国科学技术大学数学系任教。
教学情况
主讲过的本科生课程:
微积分,复变函数,数学物理方程,群与代数表示论,近世代数,代数学
参与和主讲过的研究生课程及讨论班
同调代数,Lie代数,Hopf代数,量子群,及代数数论
科研情况
Publications
[23] (Joint with Yuan Yao and Yan-Hong Yang)(Quasi-)Poisson enveloping algebras,Acta Math.Sinica,29(1)(2013),105-118.
[22] (Joint with Xi-Nan Ma and Shu-Jun Shi)The convexity estimates for the solutions of two elliptic equations,Communications in Partial Differential Equations,37(12)(2012),2116-2137.
[21] (Joint with Yan-Hong Bao and Xian-Neng Du)Poisson Structures on Basic Cycles,Front.Math.China,7(3)(2012),385-396.
[20](Joint with Ning Bian and Pu Zhang)Generalized d-Koszul modules,Mathematical Reserch Letters,18(2)(2011),191-200.
[19](Joint with Gong-Xiang Liu and Hua-Lin Huang)Quivers,quasi-quantum groups and finite tensor categories,Comm.Math.Phy.,303(3)(2011),595-612.Available at arXiv:0906.3415.
[18] (Joint with Henning Krause)On the center of a triangulated category,Proc.Edinburgh Math.Soc.,54 (2011),443–466.Available at arXiv:0903.2635.
[17](Joint with Hua-Lin Huang and Qing Zhao)Hopf Structures on Minimal Hopf Quivers.Pacific Journal of Mathematics,248(2)(2010),317--334.Available at arXiv:0909.1708.
[16](Joint with Ru-Chen Hou)Ringel-Hall algebras of $A^\infty_{\infty}$ type.(Chinese)Acta Math.Sci.Ser.A Chin.Ed.28 (2008),no.6,1077--1087.
[15](Joint with Jia-Chun Du and Hua-Lin Huang)Some new Krull-Schmidt categories with an application.(Chinese)Chinese Ann.Math.Ser.A 29 (2008),no.5,627--632.
[14](Joint with Ji-Wei He)On the Yoneda Ext-algebras of semiperfect algebras.Algebra Colloq.15 (2008),no.2,207--222.
[13](Joint with Xiao-Wu Chen and Pu Zhang)Algebras of derived dimension zero.Comm.Algebra 36 (2008),no.1,1--10.
[12](Joint with Yuan Yao and Pu Zhang)Quiver Poisson algebras.J.Algebra 312 (2007),no.2,570--589.
[11](Joint with Cheng Zhi)One-point extensions of $t$-Koszul algebras.Acta Math.Sin.(Engl.Ser.)23 (2007),no.6,965--972.
[10](Joint with Yan-Hua Huang)Constructing quasitriangular Hopf algebras via quivers.(Chinese)Chinese Ann.Math.Ser.A 28 (2007),no.1,39--48.
[9](Joint with Xiao-Wu Chen and Yu Du)On graded bialgebra deformations.Algebra Colloq.14 (2007),no.2,301--312.
[8](Joint with Ru-Chen Hou)Ringel-Hall algebra of $A_\infty$-type.J.Univ.Sci.Technol.China 36 (2006),no.7,712--719.
[7](Joint with Gong-Xiang Liu)Monomial Hopf algebras over fields of positive characteristic.Sci.China Ser.A 49 (2006),no.3,320--329.
[6](Joint with Hua-Lin Huang and Li-Bin Li)Self-dual Hopf quivers.Comm.Algebra 33 (2005),no.12,4505--4514.
[5](Joint with Xiao-Wu Chen,Hua-Lin Huang and Pu Zhang)Monomial Hopf algebras.J.Algebra 275 (2004),no.1,212--232.
[4](Joint with Pu Zhang)Higher Koszul complexes.Sci.China Ser.A 46 (2003),no.1,118--128.
[3](Joint with Pu Zhang)Higher Koszul modules.(Chinese)Sci.in China Ser.A 32 (2002)No.11,1042-1049.
[2](Joint with Qing-Yu Wu)Finite-dimensional path algebras with all modules gradable.(Chinese)J.Univ.Sci.Technol.China 32 (2002),no.2,164--1710.
[1](Joint with Guang-Yu Fu and Hua-Lin Huang)Triangular decomposition of a quantized generalized Kac-Moody algebra.(Chinese)J.Univ.Sci.Technol.China 32 (2002),no.2,155--163.
Preprints
[1](Joint with Xao-Wu Chen)Retractions and Gorenstein homological properties,to appear in Alg.Rep.Theory,2013.Available at arXiv: 1206.4415.
[2] (Joint with Hua-Lin Huang and Gong-Xiang Liu)The braided monoidal structures on a class of linear Gr-categories,to appear in Alg.Rep.Theory,2013.Avalilable at arXiv:1206.5402.
[3](Joint with Hua-Lin Huang and Gong-Xiang Liu)On braided linear Gr-categories,2013.
[4] (Joint with Ji-Wei He)Finite dimensional Koszul algebras and Beilinson algebras,2012.
[5] (Joint with Pu Zhang)Some recent progress in higher Koszulity.To appear in a special volum to dedicated Prof Keqin Feng's 70-th birthday.
[6](Joint with Yan-Hong Bao)On Quasi-Poisson cohomology,2011.Available at arXiv: 1109.1758.
[7] (Joint with Yan-Hong Bao)Cohomology structures of a Poisson algebra: II,2012.Available at arXiv: 1212.3756.
[8] Automorphisms of path coalgebras and applications,2011.Available at arXiv: 1109.2986.
[9](Joint with Nikolay Dichev)Exact Abelian extension closed subcategories for tilted algebras,2009
[10](Joint with Gong-Xiang Liu and Hua-Lin Huang)Commutative Hopf structures over a loop,2009.Available at arXiv:1002.0405.
[11] (Joint with Yan-Hong Bao)Enveloping algebras and cohomology of Leibniz pairs,2013.Available at arXiv:1304.2636.
In preparation
[1](Joint with Ming Fang)Cartan matrices of filtered module categories and gerneralized Nakayama conjecture.
[2](Joint with Zhi Cheng)On Koszulity of a trivial extension algebra.
[3] (Joint with Bing Wang)The characteristic map of a path algebra.
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