东北师范大学数学与统计学院
个人信息
School of Mathematics and Statistics,NENU
Personal Particulars
个人信息
School of Mathematics and Statistics,NENU
Personal Particulars
王勇 教授
【主要科研著作】
【主要科研项目】
1. 王勇,冯惠涛,于祖焕,段永江,陈亮,沈广艳,李春光,杨唯,邓超,雷莹. 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(资助金额：45万元). 执行时间：2018-01-01至2021-12-31.
2. 王勇. 教育部新世纪优秀人才支持计划NCET-13-0721. 教育部(资助金额：50万元). 执行时间：2014-01-01至2016-12-01.
3. 王勇,冯惠涛,于祖焕,李敬宇,高忆先,李宾,王剑,汤曙光,李桢. 指标定理、椭圆亏格、非交换留数和热核. 国家自然科学基金委员会(资助金额：60.0万元). 执行时间：2013-01-01至2016-12-01.
4. 王勇,冯惠涛,裴东河,段永江,柳絮,陈亮. 椭圆亏格，示性数，刚性定理和非交换几何. 教育部(资助金额：10.942万元). 执行时间：2010-05-01至2013-05-01.
5. 王勇,许静波,李婷婷. 奇数维的等变指标定理和椭圆亏格. 国家自然科学基金委员会(资助金额：15万元). 执行时间：2009-01-01至2011-12-01.
6. 王勇. 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(资助金额：2.5万元). 执行时间：2006-01-01至2007-12-01.
7. 孙伟志,裴东河,王静,王勇,苏丹,李养成,姜广峰,高守平. 奇点理论研究及其应用. 国家自然科学基金委员会(资助金额：20万元). 执行时间：2003-01-01至2005-12-01.
2. 王勇. 教育部新世纪优秀人才支持计划NCET-13-0721. 教育部(资助金额：50万元). 执行时间：2014-01-01至2016-12-01.
3. 王勇,冯惠涛,于祖焕,李敬宇,高忆先,李宾,王剑,汤曙光,李桢. 指标定理、椭圆亏格、非交换留数和热核. 国家自然科学基金委员会(资助金额：60.0万元). 执行时间：2013-01-01至2016-12-01.
4. 王勇,冯惠涛,裴东河,段永江,柳絮,陈亮. 椭圆亏格，示性数，刚性定理和非交换几何. 教育部(资助金额：10.942万元). 执行时间：2010-05-01至2013-05-01.
5. 王勇,许静波,李婷婷. 奇数维的等变指标定理和椭圆亏格. 国家自然科学基金委员会(资助金额：15万元). 执行时间：2009-01-01至2011-12-01.
6. 王勇. 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(资助金额：2.5万元). 执行时间：2006-01-01至2007-12-01.
7. 孙伟志,裴东河,王静,王勇,苏丹,李养成,姜广峰,高守平. 奇点理论研究及其应用. 国家自然科学基金委员会(资助金额：20万元). 执行时间：2003-01-01至2005-12-01.
【主要科研成果】
1. 王剑,王勇,孙爱慧,陈思慧. Nonminimal de Rham-Hodge operators and non-commutative residue. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS(9卷2期365-389页). 2018-06-01.
2. 孙爱慧,王剑,王勇. A family resolvent cocycle and higher spectral flow. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY(54卷4期1387-1407页). 2017-07-01.
3. 刘克峰,王勇. Modular Invariance and Anomaly Cancellation Formulas in Odd Dimension II. ACTA MATH SIN(33卷4期455-469页). 2017-04-01.
4. 王勇. An equivariant Kastler-Kalau-Walze type theorem. INT J GEOM METHODS M(14卷4期1750056-1-11页). 2017-01-23.
5. 王勇. The noncommutative family Atiyah-Patodi-Singer index theorem. J GEOM PHYS. 2016-12-01.
6. 王勇. VOLTERRA CALCULUS, LOCAL EQUIVARIANT FAMILY INDEX THEOREM AND EQUIVARIANT ETA FORMS. ASIAN J MATH. 2016-09-01.
7. 王剑,王勇. Twisted Dirac operators and the noncommutative residue for manifolds with boundary. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS. 2016-06-01.
8. 王勇. The noncommutative infinitesimal equivariant index formula: part II. JOURNAL OF NONCOMMUTATIVE GEOMETRY. 2016-03-01.
9. 刘克峰,王勇. Modular invariance and anomaly cancellation formulas in odd dimension. J GEOM PHYS. 2016-01-01.
10. 王剑,王勇. A general Kastler-Kalau-Walze type theorem for manifolds with boundary. INT J GEOM METHODS M. 2016-01-01.
11. 包开花,王剑,王勇. The Equivariant Family Index Theorem in Odd Dimensions. ACTA MATH SIN. 2015-07-01.
12. 曲全,王勇. Multiply warped products with a quarter-symmetric connection. J MATH ANAL APPL. 2015-06-01.
13. 王剑,王勇. The Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary. J MATH PHYS. 2015-05-01.
14. 王剑,王勇. A Kastler-Kalau-Walze Type Theorem for five-dimensional Manifolds with Boundary. INT J GEOM METHODS M. 2015-04-01.
15. 王勇. Volterra calculus and the variation formulas for the equivariant Ray-Singer metric. INT J GEOM METHODS M. 2015-04-01.
16. 王剑,王勇. A Kastler-Kalau-Walze Type Theorem for 7-Dimensional Manifolds with Boundary. ABSTR APPL ANAL. 2014-10-01.
17. 王勇. The Noncommutative Infinitesimal Equivariant Index Formula. JOURNAL OF K-THEORY. 2014-08-01.
18. 王剑,王勇,杨春玲. Dirac operators with torsion and the noncommutative residue for manifolds with boundary. J GEOM PHYS. 2014-07-01.
19. 王勇. Multiply Warped Products with a Semisymmetric Metric Connection. ABSTR APPL ANAL. 2014-04-01.
20. 王勇. A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with Boundary. ABSTR APPL ANAL. 2014-03-01.
21. 王勇. Curvature of multiply warped products with an affine connection. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY. 2013-10-01.
22. 刘克峰,王勇. A note on modular forms and generalized anomaly cancellation formulas. Science China Mathematics. 2013-01-01.
23. 王剑,王勇. Noncommutative residue and sub-Dirac operators for foliations. J MATH PHYS. 2013-01-01.
24. 王剑,王勇. 双共形不变量和Wodzicki留数. 数学物理学报. 2012-12-01.
25. 王剑,王勇. Nonminimal operators and non-commutative residue. J MATH PHYS. 2012-07-01.
26. 王剑,王勇. Geometric quantization of odd dimensional spin^c manifolds. B KOREAN MATH SOC. 2012-03-01.
27. 王勇. Odd dimensional spin^c-manifolds and S^1 actions. 数学杂志. 2011-11-01.
28. 王勇. Modular invariance and anomaly cancellation formulas. ACTA MATH SIN. 2011-07-01.
29. 王勇. Equivariant heat invariants of the laplacian and nonmininmal operators on differential forms. ACTA MATH SCI. 2011-05-01.
30. 王勇. Eigenvalue estimate for twisted Dirac operator and harmonic 1-form of constant length. 数学进展. 2011-04-01.
31. 王勇. A Note on chern-Connes character and Elliptic Genera. 数学进展. 2010-12-01.
32. 王勇. A note on generalized twisted anomaly cancellation formulas. ACTA MATH SIN. 2010-08-01.
33. 王勇,李婷婷. Conformal invariants and the Wodzicki Residue for Complex manifolds. 数学进展. 2010-08-01.
34. 王勇. A general type of twisted anomaly cancellation formulas. SCI CHINA MATH. 2010-08-01.
35. 王勇. Lower dimensional volumes and Kastler-Kalau-Walze type theorem for manifolds with boundary. COMMUN THEOR PHYS. 2010-07-01.
36. 王勇. Transgression and twisted anomaly cancellation formulas on odd dimensional manifolds. J GEOM PHYS. 2010-04-01.
37. 刘克峰,王勇. Rigidity theorems on odd dimensional manifolds. PURE APPL MATH Q. 2009-07-01.
38. 王勇. Gravity and the Noncommutative Residue for Manifolds with Boundary. LETT MATH PHYS. 2007-04-01.
39. 王勇. The equivariant noncommutative Atiyah-Patodi-Singer index theorem. K-THEORY. 2006-11-01.
40. 王勇. Differential Forms and the Noncommutative Residue for manifolds with Boundary in the Non-product Case. LETT MATH PHYS. 2006-07-01.
41. 王勇. Differential forms and the Wodzicki residue for manifolds with boundary. J GEOM PHYS. 2006-05-01.
42. 王勇. Chern-Connes character for the invariant Dirac operator in odd dimensions. SCI CHINA SER A. 2005-08-01.
43. 王勇. 奇数维不变Dirac 算子的陈-Connes特征. 中国科学A辑. 2005-05-02.
44. 王勇,孙伟志. 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. 2001-12-01.
2. 孙爱慧,王剑,王勇. A family resolvent cocycle and higher spectral flow. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY(54卷4期1387-1407页). 2017-07-01.
3. 刘克峰,王勇. Modular Invariance and Anomaly Cancellation Formulas in Odd Dimension II. ACTA MATH SIN(33卷4期455-469页). 2017-04-01.
4. 王勇. An equivariant Kastler-Kalau-Walze type theorem. INT J GEOM METHODS M(14卷4期1750056-1-11页). 2017-01-23.
5. 王勇. The noncommutative family Atiyah-Patodi-Singer index theorem. J GEOM PHYS. 2016-12-01.
6. 王勇. VOLTERRA CALCULUS, LOCAL EQUIVARIANT FAMILY INDEX THEOREM AND EQUIVARIANT ETA FORMS. ASIAN J MATH. 2016-09-01.
7. 王剑,王勇. Twisted Dirac operators and the noncommutative residue for manifolds with boundary. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS. 2016-06-01.
8. 王勇. The noncommutative infinitesimal equivariant index formula: part II. JOURNAL OF NONCOMMUTATIVE GEOMETRY. 2016-03-01.
9. 刘克峰,王勇. Modular invariance and anomaly cancellation formulas in odd dimension. J GEOM PHYS. 2016-01-01.
10. 王剑,王勇. A general Kastler-Kalau-Walze type theorem for manifolds with boundary. INT J GEOM METHODS M. 2016-01-01.
11. 包开花,王剑,王勇. The Equivariant Family Index Theorem in Odd Dimensions. ACTA MATH SIN. 2015-07-01.
12. 曲全,王勇. Multiply warped products with a quarter-symmetric connection. J MATH ANAL APPL. 2015-06-01.
13. 王剑,王勇. The Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary. J MATH PHYS. 2015-05-01.
14. 王剑,王勇. A Kastler-Kalau-Walze Type Theorem for five-dimensional Manifolds with Boundary. INT J GEOM METHODS M. 2015-04-01.
15. 王勇. Volterra calculus and the variation formulas for the equivariant Ray-Singer metric. INT J GEOM METHODS M. 2015-04-01.
16. 王剑,王勇. A Kastler-Kalau-Walze Type Theorem for 7-Dimensional Manifolds with Boundary. ABSTR APPL ANAL. 2014-10-01.
17. 王勇. The Noncommutative Infinitesimal Equivariant Index Formula. JOURNAL OF K-THEORY. 2014-08-01.
18. 王剑,王勇,杨春玲. Dirac operators with torsion and the noncommutative residue for manifolds with boundary. J GEOM PHYS. 2014-07-01.
19. 王勇. Multiply Warped Products with a Semisymmetric Metric Connection. ABSTR APPL ANAL. 2014-04-01.
20. 王勇. A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with Boundary. ABSTR APPL ANAL. 2014-03-01.
21. 王勇. Curvature of multiply warped products with an affine connection. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY. 2013-10-01.
22. 刘克峰,王勇. A note on modular forms and generalized anomaly cancellation formulas. Science China Mathematics. 2013-01-01.
23. 王剑,王勇. Noncommutative residue and sub-Dirac operators for foliations. J MATH PHYS. 2013-01-01.
24. 王剑,王勇. 双共形不变量和Wodzicki留数. 数学物理学报. 2012-12-01.
25. 王剑,王勇. Nonminimal operators and non-commutative residue. J MATH PHYS. 2012-07-01.
26. 王剑,王勇. Geometric quantization of odd dimensional spin^c manifolds. B KOREAN MATH SOC. 2012-03-01.
27. 王勇. Odd dimensional spin^c-manifolds and S^1 actions. 数学杂志. 2011-11-01.
28. 王勇. Modular invariance and anomaly cancellation formulas. ACTA MATH SIN. 2011-07-01.
29. 王勇. Equivariant heat invariants of the laplacian and nonmininmal operators on differential forms. ACTA MATH SCI. 2011-05-01.
30. 王勇. Eigenvalue estimate for twisted Dirac operator and harmonic 1-form of constant length. 数学进展. 2011-04-01.
31. 王勇. A Note on chern-Connes character and Elliptic Genera. 数学进展. 2010-12-01.
32. 王勇. A note on generalized twisted anomaly cancellation formulas. ACTA MATH SIN. 2010-08-01.
33. 王勇,李婷婷. Conformal invariants and the Wodzicki Residue for Complex manifolds. 数学进展. 2010-08-01.
34. 王勇. A general type of twisted anomaly cancellation formulas. SCI CHINA MATH. 2010-08-01.
35. 王勇. Lower dimensional volumes and Kastler-Kalau-Walze type theorem for manifolds with boundary. COMMUN THEOR PHYS. 2010-07-01.
36. 王勇. Transgression and twisted anomaly cancellation formulas on odd dimensional manifolds. J GEOM PHYS. 2010-04-01.
37. 刘克峰,王勇. Rigidity theorems on odd dimensional manifolds. PURE APPL MATH Q. 2009-07-01.
38. 王勇. Gravity and the Noncommutative Residue for Manifolds with Boundary. LETT MATH PHYS. 2007-04-01.
39. 王勇. The equivariant noncommutative Atiyah-Patodi-Singer index theorem. K-THEORY. 2006-11-01.
40. 王勇. Differential Forms and the Noncommutative Residue for manifolds with Boundary in the Non-product Case. LETT MATH PHYS. 2006-07-01.
41. 王勇. Differential forms and the Wodzicki residue for manifolds with boundary. J GEOM PHYS. 2006-05-01.
42. 王勇. Chern-Connes character for the invariant Dirac operator in odd dimensions. SCI CHINA SER A. 2005-08-01.
43. 王勇. 奇数维不变Dirac 算子的陈-Connes特征. 中国科学A辑. 2005-05-02.
44. 王勇,孙伟志. 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. 2001-12-01.
【主要科研奖励】
1. 王勇. 成果名称：钟家庆数学奖（优秀博士论文奖）. 2007年钟家庆数学奖（优秀博士论文奖）. 2007-11-01.
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