讲授课程: |
2009.09-2010.01, 空间解析几何, 2009基地班 2010.03-2010.07, 微分几何初步, 2007基础数学专业 2010.09-2011.01, 空间解析几何, 2010基地班+2010唐敖庆班 2011.03-2011.06, 黎曼几何, 2010级研究生 2011.08-2011.12, 李群在微分方程中的应用 2010级研究生 2011.09-2012.01, 空间解析几何, 2011基地班+2011唐敖庆班 2012.03-2012.06, 微分几何初步, 2009基础数学专业+基地班+唐班 2012.09-2013.01, 空间解析几何, 2012基地班+2011唐敖庆班 2013.03-2013.07, 微分几何初步, 2010基础数学专业+基地班+唐班 2013.09-2014.01, 空间解析几何, 2013基地班+2013唐敖庆班 2014.03-2014.07, 微分几何初步, 2011基础数学专业+基地班 2014.09-2015.01, 空间解析几何, 2014基地班+2014唐敖庆班 2014.09-2015.01, 黎曼几何, 2013级研究生 2015.09-2016.01, 空间解析几何, 2015级本科生 2016.09-2017.01, 空间解析几何, 2016级本科生 2016.08-2017.01, 微分几何几何, 2013级本科生数学与应用数学专业 |
工作经历: |
2008.12-2009.07, CRC, Goettingen Uni. Post doctor 2009.01-2011.01, 大连理工大学77779193永利官网 博士后 2009.06-2011.08 77779193永利官网 副教授 2008.07.01-2008.07.12, Conference Poisson 2008, Bernnoulli Center, EPFL, Lausanne, Switzerland. 2010.07.02-2010.08.19, ANU, visiting scholar, Austrilia 2010.09.12-2010.09.19, Geometry and Physics VIII, Scalea, Italy 2012.06.27-2012.08.07, Goettingen Uni. visiting scholar, Germany 2012.07.22-2012.08.03, Conference Poisson 2012, Utrecht Uni., Holland 2013.06.21-2013.07.31, Goettingen Uni. visiting scholar, Germany 2013.06.25-2013.06.28, Conference Higher algebras and Lie-infinity homotopy theory, Luxembourg Uni., Luxembourg 2013.07.22-2013.07.26, Conference in honor of Alan Weinstein, Bernnoulli Center, EPFL, Lausanne, Switzerland. 2014.07.05-2014.07.24, Goettingen Uni. visiting scholar, Germany 2014.11.26-2014.12.10, Goettingen Uni. visiting scholar, Germany 2014.11.30-2014.12.06, Conference ;Algebra, deformation and quantum groups;, CIRM, France 2015.04.30-2015.05.16, Goettingen Uni. visiting scholar, Germany 2015.05.10-2015.05.15, Conference ;Geometry of Jets and Fields;, Bedlewo, Banach Center, Poland 2015.07.12-2015.08.07, Penn State University, visiting scholar, US 2016.06.21-2016.07.23, University of Haute Alsace, visiting scholar, Mulhouse, France 2016.07.03-2016.07.09, Poisson 2016, Zurich,Switzerland. 2016.07.09-2016.07.17,Goettingen Uni. visiting scholar, Germany 2016.07.17-2016.07.21,Geneva Uni., visiting scholar,Switzerland. 2016.12.13-2017.12.12,Penn State University, visiting scholar, US 2011.09-至今 77779193永利官网 教授 |
学术论文: |
1. Y. Sheng, Linear Poisson structures on R^4, J. Geom. Phys. 57 (2007), 2398-2410.
2. B. Chen and Y. Sheng, Poisson-Nijenhuis structures on oriented 3D-manifolds, Rep. Math. Phys. 61 (3) (2008), 361-380.
3. Q. Lin, Z. Liu and Y. Sheng, Quadratic deformations of Lie-Poisson structures on R^3, Lett. Math. Phys. 83 (2008), 217-229.
4. Y. Sheng, Jacobi quasi-Nijenhuis algebroids, Rep. Math. Phys. 65 (2010.04), 271-287
5. Z. Chen, Z. Liu and Y. Sheng, E-Courant algebroids, Int. Math. Res. Not. Vol. (2010.03), No. 22, pp. 4334–4376.
6. Y. Sheng, Z. Liu and C. Zhu, Omni-Lie 2-algebras and their Dirac structures, J. Geom. Phys. 61 (2011.02), pp. 560-575. impact factor 1.055
7. Y. Sheng and C. Zhu, Semidirect products of representations up to homotopy, Pacific J. Math. 249 (2011.01), No. 1, 211–236.
8. Y. Bi and Y. Sheng, On higher analogues of Courant algebroids, Sci. China Math. (2011.03) Vol. 54 No. 3: 437-447.
9. Z. Chen, Z. Liu and Y. Sheng, Dirac structures of omni-Lie algebroids, Int. J. Math.,Vol. 22, No. 8 (2011.08) 1163–1185.
10. Y. Sheng and C. Zhu, Integration of semidirect product Lie 2-algebras, Int. J. Geom. Methods Mod. Phys. Vol. 9, No. 5 (2012.08) 1250043.
11. S. Chen, Y. Sheng and Z. Zheng, Non-abelian Extensions of Lie 2-algebras, Sci. China. Math. (2012.08) Vol. 55 No. 8: 1655-1668. impact factor 0.497
12 Y. Sheng, On deformations of Lie algebroids, Results. Math. 62 (2012.09), 103-120. impact factor 0.508
13 Y. Sheng and C. Zhu, Integration of Lie 2-Algebras and Their Morphisms, Lett. Math. Phys. 102 (2), (2012.11), 223-244.impact factor 2.415
14 Y. Sheng, Representations of hom-Lie algebras, Algebr. Represent. Theory,15 (6) (2012.12) 1081-1098. impact factor 0.554
15 Y. Sheng and D. Chen, Hom-Lie 2-algebras, J. Algebra, 376 (2013.02) 174–195. impact factor 0.604
16 Y. Sheng and Z. Liu, Leibniz 2-algebras and twisted Courant algebroids, Comm. Algebra. 41 (05),1929-1953. impact factor 0.388
17 C. Bai, Y. Sheng and C. Zhu, Lie 2-bialgebras,Comm. Math. Phys. 320 (2013.05) 149-172. impact factor 1.901
18 Y. Sheng and C. Bai, A new approach to hom-Lie bialgebras, J. Algebra, 399(2014.02), 232–250. impact factor 0.599
19 Z. Chen, Y. Sheng and Z. Liu, On Double Vector Bundles, Acta. Math. Sinica, 30 (10), (2014.10), 1655-1673. impact factor 0.475
20 Z. Liu, Y. Sheng and T. Zhang, Deformations of Lie 2-algebras, J. Geom. Phys. 86 (2014.12) 66–80.impact factor 0.870
21 Y. Bi and Y. Sheng, Dirac structures for higher analogues of Courant algebroids, Int. J. Geom. Methods Mod. Phys. Vol. 12, No. 1 (2015.01) 1550010. 1.068
22 Y. Sheng and Z. Xiong, On hom-Lie algebras, Linear Multilinear Algebra, Vol. 63, No. 12(2015.12), 2379–2395, Im 0.761
23 L. Cai and Y. Sheng, Hom-big brackets: theory and applications, SIGMA, 12 (2016.01), 014, 18 pages.Im 0.765
24 Y. Sheng and Z.Liu, From Leibniz algebras to Lie 2-algebras, Algebr. Represent. Theory (2016.02) 19, Issue 1, pp 1-5. Im 0.621
25 H. Lang, Z. Liu and Y. Sheng, Integration of derivations of Lie 2-algebras, Transformation Groups, 21 (2016.03), 1, 129-152. 0.583
26 Z. Liu, Y. Sheng and X. Xu, The Pontryagin class for pre-Courant algebroids, J. Geom. Phys. 104 (2016.06), 148-162. 0.819
27 J. Liu, Y. Sheng, Y. Zhou and C.Bai, Nijenhuis Operators on n-Lie Algebras, Commun. Theor. Phys. 65 (2016.06) 659–670. Im 0.989
28 J. Liu, Y. Sheng, C. Bai and Z. Chen, Left-symmetric algebroids, Math. Nachr. 289, No. 14–15, 1893–1908 (2016.10), 0.742
29 H. Lang, Y. Sheng and X. Xu, Nonabelian omni-Lie algebras, Banach Center Publications, 110 (2016),167-176.
30 H. Lang, Y. Sheng and X. Xu, Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids, Lett. Math. Phys. 107 (5) (2017.05), 861-885.
31 Y. Sheng and C. Zhu, Higher extensions of Lie algebroids, Commun. Contemp. Math. 19 (3), 1650034 (2017.06), 41 pages
32 J. Liu, Y. Sheng and C. Wang, Omni n-Lie algebras and linearization of higher analogues of Courant algebroids, Int. J. Geom. Methods Mod. Phys. 14 (7), (2017.07), 1750113, 18 pages.
33 Y. Zhou, Y. Li and Y. Sheng, 3-Lie-infty-algebras and 3-Lie 2-algebras, J Algebra Appl. 16 (9) (2017.09), 1750171, 20 pages.
34 L. Cai, J. Liu and Y. Sheng,Hom-Lie algebroids, Hom-Lie bialgebroids and Hom-Courant algebroids, J. Geom. Phys. (2017.11) 121, 15-32.
35 J. Liu, A. Makhlouf and Y. Sheng, A new approach to representations of 3-Lie algebras and abelian extensions, Algebr. Represent. Theory Algebr Represent Theor (2017) 20:1415–1431
36 J. Liu, Y. Sheng and C. Bai, Pre-symplectic algebroids and their applications, Lett. Math. Phys. (2017.12) DOI 10.1007/s11005-017-0973-8
37 L. Cai and Y. Sheng, Purely Hom-Lie bialgebras,to appear in Sci. China. Math.
38 J. Liu, Y. Sheng and Q. Wang, On non-abelian extensions of Leibniz algebras, Comm. Algebra. (2018) http://dx.doi.org/10.1080/00927872.2017.1324870
39 J. Liu and Y. Sheng, QP-structures of degree 3 and LWX 2-algebroids,
40 C. Bai, L. Guo and Y. Sheng, Bialgebras, the classical Yang-Baxter equation and Manin triples for 3-Lie algebras
41 H. Lang, Y. Sheng and A. Wade, VB-Courant algebroids, E-Courant algebroids and generalized geometry, arXiv:1705.10316
42 R.Tang and Y. Sheng, Cohomological characterizations of non-abelian extensions of strict Lie 2-algebras, arXiv:1705.09163
43 J. Liu, Y. Sheng and C. Bai, Left-symmetric bialgebroids and their corresponding Manin triples, arXiv:1705.08299
44 Y. Sheng, X. Xu and C. Zhu, String principal bundles and Courant algebroids, arXiv:1701.00959
45 Y. Sheng, Categorification of Pre-Lie Algebras and Solutions of 2-graded Classical Yang-Baxter Equations, arXiv:1403.2144 |