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    刘青平

     

    刘青平,男,1965年2月,教授、博士生导师 

     

     一、教育、工作背景:

        1982.09 - 1986.07   太原理工大学数理系   应用数学   学士 

        1986.09 - 1987.08   哈尔滨工业大学数学系   应用数学      

        1987.09 - 1988.02   北京语言大学培训部   英语培训      

        1988.08 - 1992.07   英国LEEDS大学   应用数学系  博士

        1992.10 - 1994.10   中国科学院理论物理研究所   博士后

        1994.11 - 1996.05   十大网投靠谱平台   副教授

        1996.06 - 1998.06   西班牙COMPLUTENSE大学   博士后

        1998.07 - 至今    十大网投靠谱平台   副教授/教授

     

    二、访学、进修

    1999.07 - 1999.09    国际理论物理中心(意大利)  访问

        2000.04 - 2000.08   中国科学院数学与系统科学研究院  访问学者

        2001.07 - 2001.10   国际理论物理中心(意大利)  访问

        2004.01 - 2004.05   美国University of Illinois Urbana-Champaign大学     访问

        2004.06 - 2004.09   国际理论物理中心(意大利)  访问

        2009.01 - 2009.02   香港浸会大学       访问

        2009.03 -           罗马第三大学       访问

     

    三、学术兼职

     1996.01 - 2002.12    中国科学院理论物理研究所   客座人员

     1996.01 -           中国高等科技中心   协联成员

        1997.11 - 2004.12    国际理论物理中心(意大利)   A成员

        2004.09 --          上海交通大学         博士生导师

     2005.09 --          首都师范大学         博士生导师

     2017.12--           北京数学会理事

     

    四、荣誉与获奖

        1997年入选江苏省333人才工程;

        1998年获第八届孙越崎青年科技奖;

        1999年入选教育部优秀青年教团队助计划;

        2000年入选煤炭行业专业技术拔尖人才;

        2001、2003年获十大网投靠谱平台教学成果一等奖;

        2002年获教育部跨世纪优秀人才培养基金;

        2007年荣获第三届北京市高等学校教学名师;

        2007年荣获校科学技术一等奖 ;

        2007年享受国务院政府特殊津贴。

    2017年北京市高等教育成果一等奖


    五、科研项目

    1.中国博士后科学基金(1993-1994)                 负责

    2.中国科学院理论物理特别支持(1993-1994)        负责

    3.教育部留学回国人员基金(1995-1998)            负责

    4.国家自然科学基金(青年基金)(1995-1997)        负责

    5.教育部优秀年轻教师基金(1999-2001)            负责

    6.国家自然科学基金(2000-2002)                  负责

    7.教育部跨世纪优秀人才培养计划基金 (2002-2005)   负责

    8.国家自然科学基金重点项目:现代数学物理若干问题研究(2003-2006)(陆启铿院士主持)   骨干成员

    9.国家自然科学基金(2007-2009)        负责

    10.国家自然科学基金重点项目:相对论与超对称中一些数学物理问题研究(2008-2011)(王世坤教授主持)  骨干成员

    11.国家自然科学基金(2010-2012)         负责

    12.国家自然科学基金(2013-2016)         负责

    13.国家自然科学基金重点项目:可积系统的代数与几何结构(2014-2018)(耿献国教授主持) 骨干成员

    14. 国家自然科学基金(超对称可积系统与Lax-Darboux方案,2019-2022

    15. 国家自然科学基金重点项目:离散可积系统(2020-2024)(耿献国教授主持) 骨干成员


    六、科研论文

    1. C. Lv, D. Qiu, Q.P. Liu

    Riemann-Hilbert approach to two-component modified short-pulse system and its nonlocal reductions, Chaos, 32(9) (2022) 093120.

    2. C. Lv and Q. P. Liu

    Solving the modified complex short pulse equation of focusing type: a Riemann-Hilbert approach, Analysis and Mathematical Physics, 12(1) (2022) 27.

    3. N. Li, Q. P. Liu

    Smooth Multisoliton Solutions of a 2-Component Peakon System with Cubic Nonlinearity, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA),  18 (2022) 66.

    4. X.-X. Niu, Q.P. Liu, L. Xue

    Darboux Transformations for the Supersymmetric Two-Boson Hierarchy

    Acta Applicandae Mathematicae, 180(1) (2022) 12.

    5. Yanan Wang, Xiaoxing Niu and Q. P. Liu  

    On the Darboux transformations of the Drinfeld-Sokolov-Satsuma-Hirota coupled KdV system, Reports on Mathematical Physics 90(1) (2022)49–62.

    6. K. Tian, K, M. Cui, Q.P. Liu

    A note on Bäcklund transformations for the Harry Dym equation

    Partial Differential Equations in Applied Mathematics, 5 (2022)100352.

    7. Liming Zang and Q. P. Liu, A super KdV equation of Kupershmidt: Backlund transformation, Lax pair and related discrete system, Physics Letters A 422 (2022) 127794.

    8. M. Xue, Q. P. Liu, H. Mao

    Bäcklund transformations for the modified short pulse equation and complex modified short pulse equation, European Physical Journal Plus, 137(4) (2022) 500.

    9. S. Y. Lou, X.B. Hu and Q. P. Liu

    Duality of positive and negative integrable hierarchies via relativistically invariant fields, Journal of Higher Energy Physics (2021), Article number: 58 (2021).

    10. W. Huang, L. Xue, Q. P. Liu

    Integrable discretizations for classical Boussinesq system, Journal of Physics A:Math & Theor 54 (2021) 045201.

    11. Binfang Gao, Kai Tian, Q. P. Liu

    A super Degasperis-Procesi equation and related integrable systems, Proceedings of the Royal Society A 477(2021) 20200780.

    12. K. Tian, Q. P. Liu, Wenjun Yue

    Reciprocal transformations of two super Camassa-Holm equations, Journal of Mathematical Physics 61(2020) 043503; https://doi.org/10.1063/1.5134097

    13. Deqin Qiu and Q. P. Liu

    Darboux transformation of the generalized mixed nonlinear Schrödinger equation revisited Chaos 30 (2020) 123111; https://doi.org/10.1063/5.0021975

    14. Binfang Gao, Q. P. Liu, Kai Tian

    A super Sawada-Kotera hierarchy, Applied Mathematics Letters 106 (2020) 106350; https://doi.org/10.1016/j.aml.2020.106350

    15. Gaihua Wang, Q.P. Liu, Hui Mao

    The modified Camassa-Holm equation: Backlund transformation and nonlinear superposition formula, Journal of Physics A 53 (2020) 294003;  https://doi.org/10.1088/1751-8121/ab7136

    16. H. Mao, Q. P. Liu

    The short pulse equation: Bäcklund transformations and applications,

    Studies in Applied Mathematics, 145(4) (2020) 791–811

    17. Gaihua Wang, Nianhua Li,Q.P. Liu

    Multi-soliton solutions of a two-component Camassa-Holm system: Darboux transformation approach, Communications in Theoretical Physics 72 (2020) 045003

    18. K. Tian, Binfang Gao, Q. P. Liu and Chen Chen

    On Kupershmidt’s extended equation of dispersive water waves, Applied Mathematical Letters 92 (2019) 121--127

    19. Binfang Gao, K. Tian and Q. P. Liu

    Some super systems with local bi-Hamiltonian operators, Physics. Letters A 383 (2019) 400--405

    20. Hui Mao, Q. P. Liu, Lingling Xue

    Supersymmetric Sawada-Kotera equation: Backlund-Darboux transformations and applications, Journal of Nonlinear Mathematical Physics 25 (2018) 375-386

    21. Binfang Gao, Kai Tian, Q. P. Liu, Lujuan Feng

    Conservation laws of the generalized Riemann equations, Journal of Nonlinear Mathematical Physics 25 (2018) 122-135

    22. Hui Mao, Q. P. Liu

    Backlund-Darboux transformations and discretizations of N=2 a=-2 supersymmetric KdV equation, Physics Letters A 382 (2018) 253-258

    23. Lingling Xue, Q. P. Liu and Dengshan Wang

    A generalized Hirota-Satsuma coupled KdV system: Darboux transformations and reductions, J. Math. Phys. 57, 083506 (13pages)

    24. Kai Tian, Q. P. Liu

    Conservation laws and symmetries of Hunter-Saxton equation: revisited, Nonlinearity 29 (2016) 737-755

    25. Xiao-Xing Niu, Q. P. Liu

    Darboux transformation for Drinfeld-Sokolov-Wilson equation, Communications in Theoretical Physics 64(5) (2015) 491-494

    26. Ling-Ling Xue, Q. P. Liu and Sen-Yue Lou

    An integrable nonlinear diffusion hierarchy with a two-dimensional arbitrary function, Applied Mathematical Letters 50 (2015) 105-110.

    27. Ling-Ling Xue and Q. P. Liu

    A supersymmetric AKNS problem and its Darboux-Bäcklund transformations and discrete systems, Studies in Applied Mathematics 135 (2015) 35-62.

    28. Nianhua Li, Q.P. Liu and Z. Popowicz

    A four-component Camassa-Holm type hierarchy, Journal of Geometry and Physics 85 (2014) 29-39.

    29. Ling-Ling Xue and Q. P. Liu

    Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation, SIGMA 10  (2014) 045(10 pages).

    30. Kai Tian and Q. P. Liu

    Behaviors of N=1 supersymmetric Euler derivatives and Hamiltonian operators under general superconformal transformations, Journal of Geometry and Physics 83(2014) 69-81.

    31. Lingling Xue, Decio Levi and Q. P. Liu

    Supersymmetric KdV equation: Darboux transformation and discrete systems, Journal of Physics A: Mathematical and Theoretical 46(2013) 502001 (12 pages).

    32. Nianhua Li and Q. P. Liu

    Bi-Hamitonian Structure of a Three-Component Camassa-Holm Type Equation,Journal of Nonlinear Mathematical Physics 20 (2013) 126-134.

    33. Lingling Xue and Q. P. Liu

    On Backlund transformation for supersymmetric two-boson equation, Physics Letters A 377 (2013) 828-832.

    34. Nianhua Li and Q. P. Liu

    On bi-Hamiltonian structure of two-component Novikov equation, Physics Letters A 377 (2013) 257-261.

    35. Kai Tian and Q. P. Liu

    Tri-Hamiltonian duality between the Wadati-Konno-Ichikawa hierarchy and the Song-Qu-Qiao hierarchy, Journal of Mathematical Physics 54  (2013) 043513 (10 pp.).

    36. Boling Guo, Lingming Ling and Q. P. Liu

    High-Order Solutions and Generalized Darboux Transformations of Derivative Nonlinear Schrodinger Equations, Studies in Applied Mathematics 130 (2012) 317-344.

    37. Kai. Tian and Q. P. Liu

    Two new supersymmetric equations of Harry Dym type and their supersymmetric reciprocal transformations, Physics Letters A 376 (2012)2334-40.

    38. Kai. Tian and Q. P. Liu

    The transformations between N = 2 supersymmetric Korteweg-de Vries and Harry Dym equations, Journal of Mathematical Physics 53 (2012) 053503 (8 pp.).

    39. Kai Tian, Z. Popowicz and Q. P. Liu

    A non-standard Lax formulation of the Harry Dym hierarchy and its supersymmetric extension, Journal of Physics A: Mathematical and Theoretical 45(2012) 122001 (8 pp.).

    40. Boling Guo, Liming Ling and Q. P. Liu

    Nonlinear Schrodinger equation: Generalized Darboux transformation and rogue wave solutions, Physical Review E 85 (2012) 026607 (9 pp.).

    41. Liming Ling and Q. P. Liu

    A long waves - short waves model: Darboux transformation and soliton solutions, Journal of Mathematical Physics 52 (2011)053513.

    42. L.L. Xue, Q.P. Liu and R. M. Liu

    Nonlinear superposition formula for SUSY SG/MKdV equations revisited, Physics Letters A 375(2011) 1286-94.

    43. Q. P. Liu, Z. Popowicz and K. Tian

    The Even and Odd Supersymmetric Hunter - Saxton and Liouville Equations, Physics Letters A 375 (2010) 29-35.

    44. Q. P. Liu, Z. Popowicz and K. Tian

    Supersymmetric reciprocal transformation and its applications, Journal of Mathematical Physics 51 (2010) 093511.

    45. Liming Ling and Q. P. Liu

    Darboux Transformation for Two-component Derivative Nonlinear Schrodinger Equation, Journal of Physics A: Mathematical and Theoretical 43 (2010) 434023.

    46. K. Tian and Q. P. Liu

    Supersymmetric Fifth Order Evolution Equations, AIP Conference Proceedings 1212  (2010) 81-88.

    47. K. Tian and Q. P. Liu

    A supersymmetric Sawada-Kotera equation, Physics Letters A 373(2009) 1807-1810.

    48. M.X. Zhang, Q.P. Liu, Y.L. Shen and K. Wu

    Bilinear approach to N=2 supersymmetric KdV equations, Science in China, Series A 39 (2009) 306-314.

    49. M.X. Zhang, Q. P. Liu, J. Wang and K. Wu

    A new supersymmetric classical Boussinesq equation, Chinese Physics B 17 (2008)10-16.

    50. P. L. Peng, M.X. Zhang, Gegenhasi and Q. P. Liu

    On integrability of a (2+1)-dimensional MKdV-type equation, Physics Letters A 372 (2008) 4197-4204.

    51. G. Y. Yang and Q. P. Liu

    A Darboux Transformation for the Coupled Kadomtsev-Petviashvili Equation, Chinese Physics Letters 25 (2008) 1-3.

    52. M X Zhang and Q. P. Liu

    A supersymmetric second modified KdV equation, Journal of Nonlinear Mathematical Physics 14 (2007) 230-237.

    53. Sh.Q. Lu, X. B. Hu and Q. P. Liu

    A supersymmetric Ito equation and its soliton solutions, Journal of the Physical Society of Japan 75 (2006) 064004.

    54. 刘青平,王玉清

    关于离散Schrodinger谱问题及其方程族的一个注记, 数学物理学报 26A(5) (2006)773-777.

    55. Q. P. Liu and X. X. Yang

    Supersymmetric two-boson equation:bilinerization and solutions, Physics Letters A 351  (2006) 131-135.

    56. Q. P. Liu and X. B. Hu

    Bilinerarization of N=1 supersymmetric Korteweg-de Vries equation revisited. Journal of Physics A: Mathematical and Theoretical 38(2005) 6371-6378

    57. Q. P. Liu, X. B. Hu and M. X. Zhang

    Supersymmetric modified Korteweg-de Vries equation: bilinear approach, Nonlinearity 18 (2005)139-143.

    58. H. C. Hu, X.Y. Tang, S.Y. Lou and Q. P. Liu

    Variable separation solutions obtained from Darboux transformation: the Nizhnik-Novikov-Veselov equation, Chinese Physics Letters 20 (2004) 1413

    59. Q.P. Liu, Y.F. Xie

    Nonlinear superposition formula for N=1 supersymmetric KdV equation, Physics Letters A 325 (2004) 139-143

    60. H. C. Hu, X.Y. Tang, S.Y. Lou and Q. P. Liu

    Variable separation solutions obtained from Darboux transformation for the asymmetric Nizhnik-Novikov-Veselov equation, Chaos, Solitons and Fractals 22 (2004)921-928.

    61. H.C. Hu and Q. P. Liu

    New Darboux Transformation for Hirota-Satsuma Coupled KdV System, Chaos, Solitons and Fractals 17 (2003) 921-928.

    62. D. L. Yu, Q. P. Liu and S.K. Wang

    Darboux Transformation for the Modified Veselov-Novikov Equation,Journal of Physics A 35  (2002)3779-3785.

    63. Q. P. Liu and M. Mañas

    On the Pfaffian solutions of the BKP hierarchy,Chinese Annals of Mathematics 23A (2002)693-698.

    64. S.-y. Lou, X..-y. Tang, Q. P. Liu and T. Fukuyama

    Second Order Lax Pairs of Nonlinear Partial Differential Equations with Schwarzian Forms, Z. Naturforsch 57A (2002)738-744.

    65. H.C. Hu and Q. P. Liu

    Decouple a Coupled KdV System of Nutku and Ozgu, Physics Letters A 294 (2002) 84.

    66. Q. P. Liu

    Miura Map between Discrete KP and its Modification is Canonical, Journal of Mathematical Physics 42 (2001) 2105.

    67. Q. P. Liu

    Hamiltonian Structures for Ito's System, Physics Letters A 277 (2000) 31-34.

    68. Q. P. Liu and M. Mañas

    Darboux Transformations for super-symmetric KP Hierarchies, Physics Letters B 485  (2000) 293-300.

    69. Q. P. Liu and M. Mañas

    Vectorial Darboux Transformations for the Kadomtsev-Petviashvili Hierarchy, Journal of Nonlinear Science 9 (1999) 213-232.

    70. Q. P. Liu and M. Mañas

    Symmetric Reduction of the Vectorial Fundamental Transformation: Application to the Darboux-Egorov Equations, Journal of Physics A: Math. Gen. 32  (1999) 5921-5927.

    71. Q. P. Liu and M. Mañas

    Superposition Formulae for the Discrete Ribaucour Transformation of Circular Lattices, Physics Letters A 249 (1998) 424-430.

    72. Q. P. Liu and M. Mañas

    Pfaffian Solutions for the Manin-Radul-Mathieu SUSY KdV and SUSY sine-Gordon Equations, Physics Letters B 436 (1998) 306-310.

    73. Q. P. Liu and M. Mañas

    Sequences of Levy Transformations and Multi-Wronski Determinant Solutions of Darboux System, Journal of Geometry and Physics 27 (1998) 178-184.

    74. Q. P. Liu

    The Constrained MKP Hierarchy and the Generalized Kupershmidt-Wilson Theorem, Letters in Mathematical Physics 43 (1998) 65-72.

    75. Q. P. Liu and M. Mañas

    Darboux Transformations for SUSY Integrable Systems.Lecture Notes in Physics 502(1998) 268-296.

    76. Q. P. Liu and M. Mañas

    Discrete Levy Transformations and Casaroti Determinant Solutions of Quadralateral Lattices, Physics Letters A 239 (1998) 159-166.

    77. Q. P. Liu and M. Mañas

    Vectorial Ribaucour Transformations for the Lame Equations Journal of Physics A: Math. Gen. 31 (1998) L193-L200.

    78. Q. P. Liu

    Fully Supersymmetric Integrable Hierarchies from a Energy Dependent Super Hill Operator. Journal of Physics A: Math. Gen. 30 (1997) 8661-8670.

    79. Q. P. Liu and M. Mañas

    Darboux Transformation for the Manin-Radul Supersymmetric KdV Equation, Physics Letters B 394 (1997) 337-342.

    80. Q. P. Liu and M. Mañas

    Crum Transformation and Wronskian Type Solutions for Supersymmetric KdV Equation, Physics Letters B 396 (1997)133-140.

    81. Q. P. Liu

    On the Integrable Hierarchies Associated with N=2 Super Wn Algebra, Physics Letters A 235 (1997) 335-340.

    82. L. Chao and Q. P. Liu

    On the Classical W4(2) Algebra, Journal of Physics A: Math. Gen. 29 (1996)1453-1463.

    83. Q. P. Liu

    Bi-Hamiltonian Structures of the Coupled AKNS Hierarchy and the Coupled Yajima-Oikawa Hierarchy, Journal of Mathematical Physics 37 (1996) 2307-2310.

    84. Q. P. Liu

    A Note on Supersymmetric Two Bose Equation, Communications in Theoretical Physics 25 (1996) 505-508.

    85. L. Bonora, Q. P. Liu and C.S. Xiong

    The Integrable Hierarchy Constructed from a pair of Higher KdV Hierarchies and its Associated W Algebra, Communications in Mathematical Physics 175(1996) 177-201.

    86. Q. P. Liu

    New Constraint of the KP Equation and a Coupled Burgers System, Physics Letters A 198  (1995) 178-182.

    87. Q. P. Liu

    On the Constrained Modified KP Hierarchy, Inverse Problems 11 (1995)205-209.

    88. Q. P. Liu

    Supersymmetric Harry Dym Equation, Journal of Physics A: Math. Gen. 28 (1995) L245-248.

    89. Q. P. Liu

    On the Cotangent Space Analog of the Korteweg-de Vries Equation, Communications in Theoretical Physics 24 (1995)117-120.

    90. Q. P. Liu

    Darboux Transformations for the Supersymmetric KdV Equations, Letters in Mathematical Physics 35 (1995)115-122.

    91. Q. P. Liu

    Modifications of the Constrained KP Hierarchy, Physics Letters A 187  (1994)373-381.

    92. Q. P. Liu

    New Integrable Systems Related to a Kupershmidt's Equation by Miura Maps, Journal of Mathematical Physics 35 (1994) 816-820.

    93. Q. P. Liu and C. S. Xiong

    W3(2)--Algebra and the Related Integrable Hierarchies, Physics Letters B 327  (1994) 257-265.

    94. Q. P. Liu

    On the Multi-component Extensions of the Burgers Equation, Journal of Physics A: Math. Gen. 27  (1994) 3915-3917.

    95. Q. P. Liu and C. S. Xiong

    W3(2) Algebra: Related hierarchies and New Type Free Field realizations. In Proceeding of International Conference on Interface between Physics and Mathematics, eds. W. Nahm and J.M. Shen, (1994, World Scientific).

    96. Q. P. Liu

    Bi-Hamiltonian Structures of a Generalized Super Korteweg-de Vries Equation, Journal of Physics A: Math. Gen. 26 (1993) L1239-1242.

    97. Q. P. Liu

    A New Integrable Hierarchy of Lattice Equations, Journal of Physics A: Math. Gen. 25 (1992) 3603-3608.

    98. Q. P. Liu

    A Tri-Hamiltonian Extension of the Boussinesq Equation, In Nonlinear Evolution Equations and Dynamical Systems, eds. V. G. Marhankov and O. K. Pashaev, (Springer-Verlag, Berlin (1991)).

    99. M. Antonowicz, A. P. Fordy and Q. P. Liu

    Energy Dependent Third Order Operator, Nonlinearity 4 (1991) 669-684.

    100. Q. P. Liu and C. Athorne

    Comments on “Matrix generalization of the modified Korteweg-de Vries equation”, Inverse Problems 7 (1991) 783-785.

    101. Q. P. Liu and I. Marshall

    Two Modifications of Ito's equation, Physics Letters A 160 (1991) 155-160.

    102. Q. P. Liu

    Hamiltonian Structures Related to a New Spectral Problem, International Journal of Theoretical Physics 29 (1990) 247-251. 

    七、硕士公司产品

       1. 胡恒春(1999-2002)、上海理工大学副教授

       2.谢玉粉(2001-2004)、北京信息科技大学教师

       3. 张孟霞(2002-2005)、十大网投靠谱平台副教授

       4. 吕书强(2003-2006)、北京联合大学应用文十大网投靠谱平台副教授

       5. 杨晓霞(2003-2006)、北京工业大学教师

       6. 王  娟(2004-2007)、北京市第19中学教师

       7. 刘  贝(2004-2007)、公司经理

       8. 彭令志(2005-2008)、浙江省湖州市,中学教师

       9. 高  平(2005-2008)、北京市海淀区,中学教师

       10. 杨光有(2005-2008)、北京市海淀区,小学教师

       11. 申亚丽(2005-2008)、山西省运城学院副教授

       11. 田  凯(2005-2008)、十大网投靠谱平台副教授

       12. 李  莉(2006-2009)、 安徽涉外经济学院教师

       13. 尹  微(2006-2009)、美国South Texas College讲师

       14. 廖益平(2006-2009)、湖南中公教育

       15. 凌黎明(2007-2010)、华南理工大学教授

       16. 王耀娜(2007-2010)、安徽省淮北市, 中学教师

       17. 于运鹏(2007-2010)、北京市通州区宋庄镇政府

       18.赵丽媛(2007-2010)、十大网投靠谱平台人事处

       19. (2008-2011)、南宁师范大学副教授

       20. 薛玲玲(2008-2011)、宁波大学副教授

       21. 刘瑞梅(2008-2011)、晋商银行朔州分行

       22. 胡少华(2009-2012)、建设银行(北京)

       23. 魏小然(2009-2012)、北京市大兴区, 小学教师

       24. 贺少玲(2009-2012)、北京高思教育集团

       25. 梁雪梅(2009-2012)、北京高思教育集团

       26. 王  鹏(2010-2013)、建设银行(北京)

       27. 吕  远(2010-2013)、南京工业大学信息评估中心

       28. 陈  晨(2011-2014)、珠海市BBU国际早教联盟中心

       29. 张  磊(2011-2014)、河北鑫硕律师事务所

       30. 牛晓星(2011-2014)、太原理工大学教师

       31. 刘佳文(2012-2015)、北京IT公司(敦煌网)

       32. 王  超(2012-2015) 北京市公共交通控股有限公司

       33. 高斌芳(2012-2015)、山西财经大学教师

       34. 王小英(2013-2016)、北京市税务局

       35. 牛鹏飞(2013-2016)、黄河科技学院教师

       36. 冯璐娟(2014-2017)、山西省长治县, 小学教师

       37. 杨晓敏(2014-2017)、北京市平谷区统计局

       38. 冯富威(2015-2018)、北京市、公司职员

       39. 马  婕 (2015-2018) 、北京市第二实验小学, 教师

       40. 黄齐曼(2016-2019)、北京市丰台区, 中学教师

       41. 营孟姗(2018-2021)、北京市, 中学教师

         42. 陈瑛琳(2019-2022)、北京市公司职员

        43. 王亚男 (2019-2022)

         44. 崔梦圆(2019-2022)、首都师范大学在读博士研究生

     

    八、博士公司产品

     

        1. 张孟霞(2005-2008)、十大网投靠谱平台副教授

        2.陈兰新(2008-2011)、 石家庄学院副教授

        3.李年华(2011-2014)、华侨大学副教授

        4. 薛玲玲(2011-2014)、宁波大学副教授

        5. 牛晓星(2014-2017)、太原理工大学教师

        6. 毛  辉 (2015-2018)、 南宁师范大学副教授

        7.高斌芳(2015-2018)、山西财经大学教师  

        8. 王改华 (2017-2021)、南京工程学院教师

        9. 李志刚 (2017-2021)、山西工程技术学院教师

       10. 邱德勤 (2018-2022)、惠州学院教师

       11. 臧立名 (2018-2022)、北京师范大学博士后