Employment

2022.01 - Present       Vice Director of Shing-Tung Yau Center, Southeast University, China

2003.09 - Present       Professor at School of Mathematics, Southeast University, China

2002.07 - 2003.08       Postdoctoral Fellow at School of Physics and Mathematics, Jeonbuk National University, South Korea

2004.03 - 2005.04       Postdoctoral Fellow at  Department of Mathematics, University of Leuven, Belgium

1986.07 - 1994.09       Lecturer at Hexi University, Gansu, China 

                                    Associate Professor at Henan Normal University, Henan, China

Education

1997.09 - 2000.08       Ph.D. at Mathematical Institute, Fudan University, Shanghai China

1991.09 - 1994.08       MA.Sc. at Mathematical Institute, Fudan University, Shanghai China

1982.09 - 1986.08       B.A. at School of Mathematics, Shanxi Normal  University, China

Research Interests

Quantum Field Theory, Quantum Group, Yang-Baxter Equation, Category Theory, Supersymmetry, and Mathematical Physics.

Research Activities

1. Jun. 6 2010–Jul. 7 2010: Visiting scholar at Department of Mathematics, Indiana University, Bloomington, USA. (Advisor: Prof. V.D.Turaev)

2. Aug. 2009 - Sept. 2009, Visiting scholar at CIEM-CONICET, Facultad de Matematica, Astronomıay Física y Computación, Universidad Nacional de Córdoba, Córdoba, Argentina. (Advisor: Prof. N. Andruskiewitsch)

3. Feb. 2009- May 2009:  Postdoctoral Fellow at Department of Mathematics, University of Leuven, Belgium. (Advisor: Prof. A.Van Daele)

4. Jun. 2008- Aug. 2008, Visiting scholar at Department of Mathematics, The University of Hong Kong, Hong Kong.

5. Feb. 2 2008–Feb.4 2008: Visiting scholar at Department of Mathematics, Indiana University, Bloomington, USA. (Advisor: Prof. V.D.Turaev)

6. 2007/1-2007/2, Visiting scholar at Department of Mathematics，Victoria University of Wellington, New Zealand. (Advisor: Prof. Y. H. Zhang)

7. Jun. 2006- Sept. 2006: Postdoctoral Fellow at Department of Mathematics, University of Leuven, Belgium. (Advisor: Prof. A.Van Daele)

8. Jun. 2002 – May 2002, Postdoctoral Fellow at Faculty of Engineering Sciences, Vrije Universiteit Brussel, Brussels, Belgium. (Advisor: Prof. S. Caenepeel)

9. Sept. 1996—Jun.1997, Visiting scholar at Mathematical Institute, Fudan University, Shanghai, China.

Part of Grants

1. General program of National Natural Science Foundation of China (No.11871144), Bigalois theory and Yetter-Drinfeld categories for multiplier cogroupoids and algebraic quantum groupoids, 2019/01-2022/12.

2. General program of National Natural Science Foundation of China (No.11571173), Galois theory and homological theory for weak multiplier (Hom-)Hopf algebras, 2016/01-2019/12.

3. General program of National Natural Science Foundation of China(No.11371088), Pontryagin duality, Galois objects and tensor categories for bonological quantum hypergroupoids, 2014/01-2017/12.

4. General program of National Natural Science Foundation of Jiangsu Province (No. BK2012736)，Multiplier Hopf algebras and knot quantum invariants, 2012/07-2015/06.

5. General program of National Natural Science Foundation of China(No.10871042)， Galois group corings, K0-theory and knot quantum invariants, 2009/01-2011/12.

6. The Distinguished Youth Fund of Henan Province, Braided tensor categories and Yang-Baxter equations, 2001-2003.

7. Youth Fund Project of National Natural Science Foundation of China (No.19601015), Hopf algebra theory and Yang-Baxter equations, 1997/01-1999/12.

1. Graduate Courses: Hopf algebras, Matrix theory, Basic algebras, Rings and corings, Algebraic topology.

2. Undergraduate Courses: Modern algebras, Advanced linear algebras, Advanced Mathematics, Analytic Geometry, Differential Geometry.

Selected Publications (From 2010)

1.Gu Yue; Wang, Shuanhong; Ma, Tianshui, Rota-Baxter (Co)algebra Equation Systems and Rota–Baxter Hopf Algebras, Mathematics 2022, Volume 10, Issue 3, 426.

2.Ma, T.S.; Li, J.; Chen, L. Y.; Wang, Shuanhong, Rota-Baxter operators on Turaev's Hopf group (co)algebras (I): Basic definitions and related algebraic structures. J. Geom. Phys. (2022) Volume 175, 104469.

3.Liu, Linlin; Wang, Shuanhong, Symmetries and the u-condition in weak monoidal Hom-Yetter-Drinfeld categories. J. Algebra Appl. 20 (2021), no. 10, Paper No. 2150194, 24 pp.

4.Zhang, Tao; Gu, Yue; Wang, Shuanhong, Hopf quasimodules and Yetter-Drinfeld modules over Hopf quasigroups. Algebra Colloq. 28 (2021), no. 2, 213–242.

5.Gu, Yue; Wang, Shuanhong, Double centralizer properties related to (co)triangular Hopf coquasigroups. Comm. Algebra 49 (2021), no. 2, 662–686.

6.Liu, Linlin; Wang, Shuanhong, Rota-Baxter H-operators and pre-Lie H-pseudoalgebras over a cocommutative Hopf algebra. Linear Multilinear Algebra 68 (2020), no. 11, 2170–2184.

7.Daele, A.V.; Wang, Shuanhong, Weak Multiplier Hopf Algebras II: Source and Target Algebras. Symmetry 2020, 12, 1975.

8.Yan, Dongdong; Wang, Shuanhong, Drinfel'd construction for Hom-Hopf T-coalgebras. Internat. J. Math. 31 (2020), no. 8, 2050058, 31 pp.

9.Liu, Guohua; Wang, Wei; Wang, Shuanhong; Zhang, Xiaohui A braided T-category over weak monoidal Hom-Hopf algebras. J. Algebra Appl. 19 (2020), no. 8, 2050159, 28 pp.

10.Shi, Guodong; Wang, Shuanhong, Schur-Weyl quasi-duality and (co)triangular Hopf quasigroups. J. Math. Phys. 61 (2020), no. 5, 051701, 23 pp.

11.Gu, Yue; Wang, Shuanhong, Hopf quasicomodules and Yetter-Drinfel'd quasicomodules. Comm. Algebra 48 (2020), no. 1, 351-379.

12.Zhang, Tao; Wang, Shuanhong; Wang, Dingguo A new approach to braided monoidal categories. J. Math. Phys. 60 (2019), no. 1, 013510, 22 pp.

13.Wang, Wei; Zhou, Nan; Wang, Shuanhong, Semidirect products of weak multiplier Hopf algebras: smash products and smash coproducts. Comm. Algebra 46 (2018), no. 8, 3241-3261.

14.Lu, Daowei; Wang, Shuanhong, Yetter-Drinfeld-Long bimodules are modules. Czechoslovak Math. J. 67(142) (2017), no. 2, 379-387.

15.Zhao, Xiaofan; Liu, Guohua; Wang, Shuanhong, Pseudotriangular weak Hopf algebras. J. Algebra Appl. 16 (2017), no. 7, 1750137, 18 pp.

16.Zhou, Nan; Wang, Shuanhong, A duality theorem for weak multiplier Hopf algebra actions. Internat. J. Math. 28 (2017), no. 5, 1750032, 34 pp.

17.You, Miman; Wang, Shuanhong, A generalized double crossproduct for monoidal Hom-Hopf algebras and the Drinfeld double. Colloq. Math. 146 (2017), no. 2, 213-238.

18.You, Miman; Wang, Shuanhong, Constructing braided Hopf algebras in monoidal Hom-category. Taiwanese J. Math. 20 (2016), no. 6, 1203-1230.

19.Guo, Shuangjian; Wang, Shuanhong, Quasitriangular Turaev group coalgebras and Radford's byproduct, Algebra Colloq. 23 (2016), no. 3, 427-442.

20.Lu, Daowei; Wang, Shuanhong, The Drinfel'd double versus the Heisenberg double for Hom-Hopf algebras. J. Algebra Appl. 15 (2016), no. 4, 1650059, 24 pp.

21.You, Miman; Zhou, Nan; Wang, Shuanhong, Hom-Hopf group coalgebras and braided T-categories obtained from Hom-Hopf algebras. J. Math. Phys. 56 (2015), no. 11, 112302, 16 pp.

22.Van Daele, Alfons; Wang, Shuanhong, Weak multiplier Hopf algebras I. The main theory. J. Reine Angew. Math. 705 (2015), 155-209.

23.Zhang, Xiaohui; Zhao, Xiaofan; Wang, Shuanhong, Sovereign and ribbon weak Hopf algebras. Kodai Math. J. 38 (2015), no. 2, 451-469.

24.Zhao, Xiaofan; Liu, Guohua; Wang, Shuanhong, Symmetric pairs in Yetter-Drinfeld categories over weak Hopf algebras. Comm. Algebra 43 (2015), no. 10, 4502-4514.

25.Zhang, Xiaohui; Wang, Shuanhong, Weak Hom-Hopf algebras and their (co)representations. J. Geom. Phys. 94 (2015), 50-71.

26.Guo, Shuang-jian; Wang, Shuan-hong, Morita contexts and partial group Galois extensions for Hopf group coalgebras. Comm. Algebra 43 (2015), no. 3, 1025-1049.

27.Zhang, Xiaohui; Wang, Shuanhong, New Turaev braided group categories and weak (co)quasi-Turaev group coalgebras. J. Math. Phys. 55 (2014), no. 11, 111702, 27 pp.

28. You, Miman; Wang, Shuanhong, Constructing new braided T-categories over monoidal Hom-Hopf algebras. J. Math. Phys. 55 (2014), no. 11, 111701, 16 pp.

29. Zhu, Haixing; Wang, Shuanhong; Chen, Juzhen, Bicovariant differential calculi on a weak Hopf algebra. Taiwanese J. Math. 18 (2014), no. 6, 1679-1712.

30. Chen, Quanguo; Wang, Shuanhong, Radford's formula for generalized weak biFrobenius algebras. Rocky Mountain J. Math. 44 (2014), no. 2, 419-433.

31. Wang, Shengxiang; Wang, Shuanhong, Hom-Lie algebras in Yetter-Drinfeld categories. Comm. Algebra 42 (2014), no. 10, 4526-4547.

32. Guo, Shuang Jian; Wang, Shuan Hong, Crossed products of weak Hopf group coalgebras. (Chinese) Acta Math. Sci. Ser. A Chin. Ed. 34 (2014), no. 2, 327-337.

33. Wang, Shengxiang; Wang, Shuanhong, Drinfeld double for braided infinitesimal Hopf algebras. Comm. Algebra 42 (2014), no. 5, 2195-2212.

34. Fang, Xiaoli; Wang, Shuanhong, New Turaev braided group categories and group corings based on quasi-Hopf group coalgebras. Comm. Algebra 41 (2013), no. 11, 4195-4226.

35. Guo, Shuang-Jian; Wang, Shuan-Hong, Crossed products of Hopf group-coalgebras. Kodai Math. J. 36 (2013), no. 2, 325-342.

36. Dong, Lihong; Guo, Shuangjian; Wang, Shuanhong, A class of quasitriangular Hopf group coalgebras and Drinfel'd double. Algebra Colloq. 20 (2013), no. 3, 527-540.

37. Liu, Ling; Shen, Bing-liang; Wang, Shuan-hong, On weak crossed products of weak Hopf algebras. Algebr. Represent. Theory 16 (2013), no. 3, 633-657.

38.  Chen, Quanguo; Wang, Shuanhong, Connes' pairings for a new K-theory over weak Hopf algebras. Comm. Algebra 41 (2013), no. 4, 1316-1349.

39.  Dong, Lihong; Wang, Shuanhong, Constructing new quasitriangular Turaev group coalgebras. Comm. Algebra 41 (2013), no. 4, 1217-1246.

40. Delvaux, L.; Van Daele, A.; Wang, S. H., Bicrossproducts of algebraic quantum groups. Internat. J. Math. 24 (2013), no. 1, 1250131, 48 pp.

41. Wang, Shuanhong, New Turaev braided group categories and group Schur-Weyl duality. Appl. Categ. Structures 21 (2013), no. 2, 141-166.

42. Wang, Shuanhong, More examples of algebraic quantum hypergroups. Algebr. Represent. Theory 16 (2013), no. 1, 205-228.

43. Dong, Jingcheng; Wang, Shuanhong, On semisimple Hopf algebras of dimension 2q 3. J. Algebra, 375 (2013), 97-108.

44. Quan-guo, Chen; Shuan-hong, Wang, Quantum integrals and the affineness criterion for quantum Yetter-Drinfeld π-modules. Filomat 26 (2012), no. 1, 101-118.

45. Van Daele, Alfons; Wang, Shuanhong, Weak multiplier Hopf algebras. Preliminaries, motivationand basic examples, in Operator algebras and quantum groups, Banach Center Publication, Vol. 98(5) , 2012, 367-415.

46.Wang, Shuan Hong, Kaplansky's ten conjectures. (Chinese) Adv. Math. (China) 41 (2012), no. 3, 257-265.

47. Bai, Li; Wang, Shuanhong, Twisted Drinfeld doubles and representations of a Hopf algebra. J. Algebra Appl. 11 (2012), no. 6, 1250118, 27 pp.

48. Guo, Shuang-Jian; Wang, Shuan-Hong, Separable functors for the category of partial entwined modules. J. Algebra Appl. 11 (2012), no. 5, 1250101, 15 pp.

49. Delvaux, L.; Van Daele, A.; Wang, Shuanhong, A note on the antipode for algebraic quantum groups. Canad. Math. Bull. 55 (2012), no. 2, 260-270.

50. Liu, Guohua; Wang, Shuanhong, Graded Morita theory for group coring and graded Morita-Takeuchi theory. Taiwanese J. Math. 16 (2012), no. 3, 1041-1056.

51. Yang, Tao; Wang, Shuanhong, Constructing new braided T-categories over regular multiplier Hopf algebras. Comm. Algebra 39 (2011), no. 9, 3073-3089.

52. Chen, Quan-guo; Wang, Shuan-hong, Separable functors for the category of Doi-Hopf π-modules. Abh. Math. Semin. Univ. Hambg. 81 (2011), no. 2, 261-272.

53. Yang, Tao; Wang, Shuan-hong, A lot of quasitriangular group-cograded multiplier Hopf algebras. Algebr. Represent. Theory 14 (2011), no. 5, 959-976.

54. Delvaux, L.; Van Daele, A.; Wang, S. H., Bicrossproducts of multiplier Hopf algebras. J. Algebra 343 (2011), 11-36.

55. Wang, Shuanhong, Nakayama automorphisms of generalized co-Frobenius algebras. Comm. Algebra 39 (2011), no. 7, 2449-2462.

56. Quan-guo, Chen; Shuan-hong, Wang, Integrals and a Maschke-type theorem for weak Hopf π  -coalgebras. Int. Electron. J. Algebra 10 (2011), 85-112.

57. Wang, Shuanhong, Algebraic quantum hypergroups of discrete type. Math. Scand. 108 (2011), no. 2, 198-222.

58. Ma, Tianshui; Li, Haiying; Wang, Shuanhong, Quasitriangularity of Brezeziński's crossed coproducts. J. Algebra Appl. 10 (2011), no. 2, 241-255.

59. Ma, Tianshui; Li, Haiying; Wang, Shuanhong, A class of new braided Hopf algebras. Front. Math. China 6 (2011), no. 2, 293-308.

60. Guo, Qiao Ling; Wang, Shuan Hong, Morita contexts and Galois theory for weak Hopf comodulelike algebras. Acta Math. Sin. (Engl. Ser.) 27 (2011), no. 4, 757-772.

61. Wang, Shuanhong, Hopf-type algebras. Comm. Algebra 38 (2010), no. 11, 4255-4276.

62. Ma, Tianshui; Wang, Shuanhong, A method to construct oriented quantum algebras. Comm. Algebra 38 (2010), no. 11, 4234-4254.

63. Liu, Ling; Wang, Shuan Hong, Making the category of group entwined modules into a braided monoidal category. (Chinese) Acta Math. Sci. Ser. A Chin. Ed. 30 (2010), no. 6, 1612-1620.

64. Zhou, Xuan; Wang, Shuanhong, The duality theorem for weak Hopf algebra (co) actions. Comm. Algebra 38 (2010), no. 12, 4613-4632.

65.Ma, Tianshui; Wang, Shuanhong; Xu, Shaoxian, A method of constructing braided Hopf algebras. Filomat 24 (2010), no. 2, 53-66.

66. Wang, Shuan-hong; Zhu, Hai-xing, On braided Lie structures of algebras in the categories of weak Hopf bimodules. Algebra Colloq. 17 (2010), no. 4, 685-698.

67. Ma, Tianshui; Wang, Shuanhong, Bitwistor and quasitriangular structures of bialgebras. Comm. Algebra 38 (2010), no. 9, 3206-3242.

68. Liu, Ling; Wang, Shuanhong, Constructing new braided T-categories over weak Hopf algebras. Appl. Categ. Structures 18 (2010), no. 4, 431-459.

69. Wang, Shuanhong, New Turaev braided group categories over entwinning structures. Comm. Algebra 38 (2010), no. 3, 1019-1049.

70. Wang, Shuan-hong; Zhu, Hai-xing, On corepresentations of multiplier Hopf algebras. Acta Math. Sin. (Engl. Ser.) 26 (2010), no. 6, 1087-1114.

71. Ma, Tianshui; Wang, Shuanhong, General double quantum groups. Comm. Algebra 38 (2010), no. 2, 645-672.

72. Zhu, Haixing; Wang, Shuanhong, A generalized Drinfeld quantum double construction based on weak Hopf algebras. Comm. Algebra 38 (2010), no. 1, 199-229.

73. Van Daele, A.; Wang, Shuanhong, Pontryagin duality for bornological quantum hypergroups. Manuscripta Math. 131 (2010), no. 1-2, 247-263.

Books

[1] Shuanhong Wang, Jianlong Chen, Galois Coring Theory (in Chinese), Beijing: Science Press, 2010.

[2] Shuanhong Wang, Pontryagin Duality and Algebraic Quantum Hypergroups (in Chinese), Beijing: Science Press, 2011.

[3] Shuanhong Wang, Group Crossed Yetter-Drinfeld Categories (in Chinese), Beijing: Science Press, 2012.

[4] Shuanhong Wang, Groupoids and Weak Multiplier Hopf Algebras (in Chinese), Beijing: Science Press, 2018.