职  称:教授
研究方向:
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个人简历

社会兼职

获奖情况 (数据来源:科学技术处、社会科学处)

  • 2007-11-01 2007年钟家庆数学奖

教学信息 (数据来源:教务处)

  • 微分流形
  • 微分几何
  • 2017学硕
  • 2019学硕
  • 2020学硕
  • 黎曼几何
  • 2018级硕士
  • 2021学硕

科研信息 (数据来源:科学技术处、社会科学处)

  • 项目:
  • 1. 非交换指标定理和非交换留数的研究,国家自然科学基金项目,2017年
  • 2. 教育部新世纪优秀人才支持计划NCET-13-0721,主管部门科技项目,2013年
  • 3. 指标定理、椭圆亏格、非交换留数和热核,国家自然科学基金项目,2012年
  • 4. 椭圆亏格,示性数,刚性定理和非交换几何,主管部门科技项目,2011年
  • 5. Wodzicki留数、共形不变微分算子及其应用,校内自然科学青年基金,2009年
  • 6. 奇数维的等变指标定理和椭圆亏格,国家自然科学基金项目,2009年
  • 论文:
  • 1. 分布卷积上的 Levi-Civita 联络,东北师大学报(自然科学版),2023年
  • 2. The Dabrowski-Sitarz-Zalecki type theorems for six dimensional manifolds with boundary,JOURNAL OF MATHEMATICAL PHYSICS,2023年
  • 3. Dirac operators with torsion, spectral Einstein functionals and the noncommutative residue,JOURNAL OF MATHEMATICAL PHYSICS,2023年
  • 4. Statistical de Rham Hodge operators and general Kastler-Kalau-Walze type theorems for manifolds with boundary,JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS,2023年
  • 5. SUPER WARPED PRODUCTS WITH A SEMI-SYMMETRIC METRIC CONNECTION,Global Journal of Advanced Research,2023年
  • 6. RIEMANNIAN GEOMETRY OF NONCOMMUTATIVE SUPER SURFACES,Global Journal of Advanced Research,2023年
  • 7. A Kastler-Kalau-Walze Type Theorem for the J-Twist DJ of the Dirac Operator,J NONLINEAR MATH PHY,2023年
  • 8. The J-twist DJ of the Dirac operator and the Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary,INT J GEOM METHODS M,2023年
  • 9. Twisted Dirac operators and the Kastler-Kalau-Walze type theorem for five dimensional manifolds with boundary,TURKISH JOURNAL OF MATHEMATICS,2023年
  • 10. THE GENERALIZED NONCOMMUTATIVE RESIDUE AND THE KASTLER-KALAU-WALZE TYPE THEOREM,Global Journal of Advanced Research,2023年
  • 11. The Kastler-Kalau-Walze Type Theorems for the Perturbation of the de Rham Hodge Operator,J NONLINEAR MATH PHY,2022年
  • 12. The operator -1cˆ(V)(d+δ) and the Kastler-Kalau-Walze type theorems,Advances in Operator Theory,2022年
  • 13. Canonical Connections and Algebraic Ricci Solitons of Three-dimensional Lorentzian Lie Groups,CHINESE ANN MATH B,2022年
  • 14. Super warped products with a semi-symmetric non-metric connection,AIMS MATHEMATICS,2022年
  • 15. Dirac-Witten operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary,J NONLINEAR MATH PHY,2022年
  • 16. Sub-signature operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary,JOURNAL OF GEOMETRY AND PHYSICS,2022年
  • 17. Affine Ricci solitons associated to the Bott connection on three-dimensional Lorentzian Lie groups,TURKISH JOURNAL OF MATHEMATICS,2021年
  • 18. A local equivariant index theorem for sub-signature operators,J NONLINEAR MATH PHY,2021年
  • 19. Affine Ricci solitons of three-dimensional Lorentzian Lie groups,J NONLINEAR MATH PHY,2021年
  • 20. Gauss-Bonnet theorems in the generalized affine group and the generalized BCV spaces,AIMS MATHEMATICS,2021年
  • 21. Codazzi Tensors and the Quasi-Statistical Structure Associated with Affine Connections on Three-Dimensional Lorentzian Lie Groups,SYMMETRY-BASEL,2021年
  • 22. Gauss-Bonnet theorems in the affine group and the group of rigid motions of the Minkowski plane,SCIENCE CHINA-MATHEMATICS,2021年
  • 23. Minimal translation surfaces with respect to semi-symmetric connections in R3 and R31,BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY,2021年
  • 24. Statistical de Rham Hodge Operators and the Kastler-Kalau-Walze Type Theorem for Manifolds With Boundary,J NONLINEAR MATH PHY,2021年
  • 25. Gauss-Bonnet theorems and the Lorentzian Heisenberg group,TURKISH JOURNAL OF MATHEMATICS,2021年
  • 26. Affine connections on singular warped products,INT J GEOM METHODS M,2021年
  • 27. Gravity, Robertson–Walker metric and the Wodzicki residue,JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS,2021年
  • 28. Gauss–Bonnet Theorems in the Lorentzian Heisenberg Group and the Lorentzian Group of Rigid Motions of the Minkowski Plane,SYMMETRY-BASEL,2021年
  • 29. Left-Invariant Riemann Solitons of Three-Dimensional Lorentzian Lie Groups,SYMMETRY-BASEL,2021年
  • 30. Generalized Semi-Symmetric Non-Metric Connections of Non-Integrable Distributions,SYMMETRY-BASEL,2021年
  • 31. Twisted dirac operators and Kastler-Kalau-Walze theorems for six-dimensional manifolds with boundary,INT J GEOM METHODS M,2020年
  • 32. Gauss-Bonnet theorems in the BCV spaces and the twisted Heisenberg group,RESULTS IN MATHEMATICS,2020年
  • 33. Affine connections of non-integrable distributions,INT J GEOM METHODS M,2020年
  • 34. Modified Novikov Operators and the Kastler-Kalau-Walze-Type Theorem for Manifolds with Boundary,ADVANCES IN MATHEMATICAL PHYSICS,2020年
  • 35. 推广的韩-刘-张反常消去公式,数学学报,2019年
  • 36. Chen inequalities for submanifolds of complex space forms and Sasakian space forms with quarter-symmetric connections,INT J GEOM METHODS M,2019年
  • 37. General Kastler-Kalau-Walze type theorems for manifolds with boundary II,INT J GEOM METHODS M,2019年
  • 38. Nonminimal de Rham-Hodge operators and non-commutative residue,JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS,2018年
  • 39. A family resolvent cocycle and higher spectral flow,BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY,2017年
  • 40. Modular Invariance and Anomaly Cancellation Formulas in Odd Dimension II,ACTA MATH SIN,2017年
  • 41. An equivariant Kastler-Kalau-Walze type theorem,INT J GEOM METHODS M,2017年
  • 42. The noncommutative family Atiyah-Patodi-Singer index theorem,J GEOM PHYS,2016年
  • 43. VOLTERRA CALCULUS, LOCAL EQUIVARIANT FAMILY INDEX THEOREM AND EQUIVARIANT ETA FORMS,ASIAN J MATH,2016年
  • 44. Twisted Dirac operators and the noncommutative residue for manifolds with boundary,JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS,2016年
  • 45. The noncommutative infinitesimal equivariant index formula: part II,JOURNAL OF NONCOMMUTATIVE GEOMETRY,2016年
  • 46. Modular invariance and anomaly cancellation formulas in odd dimension,J GEOM PHYS,2016年
  • 47. A general Kastler-Kalau-Walze type theorem for manifolds with boundary,INT J GEOM METHODS M,2016年
  • 48. The Equivariant Family Index Theorem in Odd Dimensions,ACTA MATH SIN,2015年
  • 49. Multiply warped products with a quarter-symmetric connection,J MATH ANAL APPL,2015年
  • 50. The Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary,J MATH PHYS,2015年
  • 51. Volterra calculus and the variation formulas for the equivariant Ray-Singer metric,INT J GEOM METHODS M,2015年
  • 52. A Kastler-Kalau-Walze Type Theorem for five-dimensional Manifolds with Boundary,INT J GEOM METHODS M,2015年
  • 53. A Kastler-Kalau-Walze Type Theorem for 7-Dimensional Manifolds with Boundary,ABSTR APPL ANAL,2014年
  • 54. The Noncommutative Infinitesimal Equivariant Index Formula,JOURNAL OF K-THEORY,2014年
  • 55. Dirac operators with torsion and the noncommutative residue for manifolds with boundary,J GEOM PHYS,2014年
  • 56. Multiply Warped Products with a Semisymmetric Metric Connection,ABSTR APPL ANAL,2014年
  • 57. A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with Boundary,ABSTR APPL ANAL,2014年
  • 58. Curvature of multiply warped products with an affine connection,BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY,2013年
  • 59. Noncommutative residue and sub-Dirac operators for foliations,J MATH PHYS,2013年
  • 60. A note on modular forms and generalized anomaly cancellation formulas,Science China Mathematics,2013年
  • 61. 双共形不变量和Wodzicki留数,数学物理学报,2012年
  • 62. Nonminimal operators and non-commutative residue,J MATH PHYS,2012年
  • 63. Geometric quantization of odd dimensional spin^c manifolds,BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY,2012年
  • 64. Odd dimensional spin^c-manifolds and S^1 actions,数学杂志,2011年
  • 65. Modular invariance and anomaly cancellation formulas,ACTA MATH SIN,2011年
  • 66. Equivariant heat invariants of the laplacian and nonmininmal operators on differential forms,ACTA MATH SCI,2011年
  • 67. Eigenvalue estimate for twisted Dirac operator and harmonic 1-form of constant length,数学进展,2011年
  • 68. A Note on chern-Connes character and Elliptic Genera,数学进展,2010年
  • 69. A note on generalized twisted anomaly cancellation formulas,ACTA MATH SIN,2010年
  • 70. A general type of twisted anomaly cancellation formulas,Science China Mathematics,2010年
  • 71. Conformal invariants and the Wodzicki Residue for Complex manifolds,数学进展,2010年
  • 72. Lower dimensional volumes and Kastler-Kalau-Walze type theorem for manifolds with boundary,COMMUN THEOR PHYS,2010年
  • 73. Transgression and twisted anomaly cancellation formulas on odd dimensional manifolds,J GEOM PHYS,2010年
  • 74. Adiabatic limits, vanishing theorems and the noncommutative residue,SCI CHINA SER A,2009年
  • 75. Rigidity theorems on odd dimensional manifolds,PURE APPL MATH Q,2009年
  • 76. Syntheses and characterizations of four metal coordination polymers constructed by the pyridine-3,5-dicarboxylate ligand,POLYHEDRON,2008年
  • 77. Synthesis and characterization of three Cu(II), Zn(II), Cd(II) supramolecular complexes bridged by biphenyl 2,2'-dicarboxylate,SOLID STATE SCI,2007年
  • 78. A chiral 3D polymer with right- and left-helices based on 2,2'-biimidazole: Synthesis, crystal structure and fluorescent property,INORG CHEM COMMUN,2007年
  • 79. Gravity and the Noncommutative Residue for Manifolds with Boundary,LETT MATH PHYS,2007年
  • 80. Two novel lead-carboxylate complexes based on nicotinic acid N-oxide: Synthesis, crystal structures and luminescent properties,INORG CHEM COMMUN,2007年
  • 81. Anion-directed assembly of two novel cadmium(II) complexes constructed by 2,2' -(1,4-butanediyl)bis(1H-benzimidazole) ligand,INORG CHEM COMMUN,2006年
  • 82. The equivariant noncommutative Atiyah-Patodi-Singer index theorem,K-THEORY,2006年
  • 83. Differential Forms and the Noncommutative Residue for manifolds with Boundary in the Non-product Case,LETT MATH PHYS,2006年
  • 84. Differential forms and the Wodzicki residue for manifolds with boundary,J GEOM PHYS,2006年
  • 85. Effects of DA-6 on Photosynthesis and Growth of Hordeum Brevisubulatum Seedlings,the proceedings of the china association for science and technology,2005年
  • 86. Chern-Connes character for the invariant Dirac operator in odd dimensions,SCI CHINA SER A,2005年
  • 87. 奇数维不变Dirac 算子的陈-Connes特征,中国科学A辑,2005年
  • 88. Structure identification of five unknown dilipo-alkaloids extracted from processed tuber of Aconitum Carmiechaeli by electrospray ionization tabden mass spectrometry.,ANAL SCI,2003年
  • 89. Characterization of aconitine-type alkaloids in the flowers of Aconitum kusnezoffii by electrospray ionization tandem mass spectrometry,journal of mass spectrometry,2003年
  • 90. 附子配伍原则的电喷雾质谱研究,药学学报,2003年
  • 91. Exploring the reaction of ester exchange for diester-diterpenoid alkaloids in the process of decocting aconite by electrospray ionization tandem mass spectrometry,,Rapid Commun. Mass Spectrom,2003年
  • 92. 草乌花及其煎煮液中二萜生物碱的电喷雾串联质谱研究,药学学报,2003年
  • 93. 四逆汤煎煮过程中生物碱的溶出和水解平衡,中草药,2003年
  • 94. 雪上一枝蒿中二萜类生物碱的电喷雾串联质谱分析,分析化学,2003年
  • 95. 提高MALDI-MS测量溶菌酶分子量灵敏度的研究,高等学校化学学报,2002年
  • 96. Electrospray ionization tandem mass spectrometric study of the aconitines in the roots of aconite,Rapid Commun.mass Spectrom ,2002年
  • 97. 生附子氢氧化钙炮制液的电喷雾质谱分析,分析测试学报(增刊) ,2002年
  • 98. 虎眼万年青多糖对ConA诱导小鼠细胞释放IL-2及其mRNA表达的影响,中华中西医杂志 ,2002年
  • 99. 白山草乌二萜生物碱的电喷雾串联质谱分析,质谱学报,2002年
  • 100. 乌头碱类生物碱的质谱研究进展,质谱学报,2002年
  • 101. 人参四逆汤抗休克作用的有效组分成分分析,中草药,2002年
  • 102. 余秩不等于2余维为7的可微函数芽的分类,东北师大学报自然科学版 ,2001年
  • 103. SOFT IONIZATION MASS SPECTROMETRY IN MONITORING THE DETOXIFICATION PROCESS OF Fuzi,第九届北京国际分析化学及仪器展览会论文集 ,2001年
  • 104. 人参茎叶挥发油中倍半萜烯化合物的分离与鉴定,吉林大学自然科学学报,2001年
  • 105. 用多变量统计分析方法辨识肺癌患者分类中的关键元素,分子科学 ,1999年
  • 106. 分析化学中的非线性校准,分析化学,1998年
  • 107. 反向传播人工神经网络在分析化学重叠信号解析中的应用,抚顺石油学院学报,1996年
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