教育背景

1997.09—2001.06，beat365官方登录入口数学系，本科

2001.09—2004.06，beat365官方登录入口基础数学专业，硕士

2005.09—2008.06，武汉大学基础数学专业，博士

2009.12—2011.12，清华大学数学科学系，博士后

工作经历

2004.07—2007.07 beat365官方登录入口， 助教

2007.08—2011.03 beat365官方登录入口， 讲师

2011.04—2017.12 beat365官方登录入口， 副教授

2017.12—                 beat365官方登录入口，教授

微分几何

主讲本科生课程：《解析几何》、《微分几何》、《线性代数》、《高等数学》

主讲研究生课程：《子流形几何》、《黎曼几何》、《复流形》

河南省教育厅学术技术带头人（豫教[2012]01169）

河南省高等学校青年骨干教师（豫教[2017]03538）

河南省数学会常务理事

河南省运筹学会常务理事

河南省普通高等学校数学类教学指导委员会委员

河南省第十届自然科学优秀学术论文，一等奖1项；二等奖1项

河南省首届自然科学学术奖-河南省自然科学优秀学术论文，一等奖1项；二等奖2项

指导的研究生荣获“河南省优秀硕士学位论文”两篇

国家自然科学基金（面上），“黎曼流形上的特殊几何结构及相关分类研究”，No. 11971153，2020.1-2023.12 (主持)

国家自然科学基金（青年-面上连续），“Witten Laplacian的特征值及与其相关的Ricci Soliton研究”，No. 11371018，2014.1-2017.12 (主持)

国家自然科学基金（青年），“黎曼流形上的特征值及相关问题研究”，No. 11001076, 2011.1-2013.12 (主持)

河南省教育厅自然科学基金，No. 2010A110008 (主持)

第四十八批中国博士后科学基金（面上），No. 20100480316 (主持)

国家自然科学基金，“仿射微分几何中四阶偏微分方程整体解的研究”，No. 10926172 (参加)

国家自然科学基金，“子流形的变分与高阶极小子流形”，No. 10926171 (参加)

河南省科技厅项目，“流形上G-结构的几何与分析”，No. 092300410143 (参加)

河南省教育厅自然科学基金，No. 2009A110010 (参加)

1. Some inequaltities for submanifolds in locally conformally almost cosymplectic manidolds, Soochow J. Math., 2005, 31: 309-319 (with X. Li and J. Xu).

2. Some new results on \lambda_2 eigenmaps between spheres, J. Math. (Wuhan), 2006, 26: 243-249 (with X. Li).

3. Uniqueness for the Brezis-Nirenberg problem on compact Einstein manifolds, Osaka J. Math., 2008, 45: 609-614 (with W. Chen). SCI

4. Uniqueness for the solution of semi-linear elliptic Neumann Problems in R^3, Commun. Pure Appl. Anal., 2008, 7: 1269-1273 (with W. Chen). SCI

5. Estimates on eigenvalues for higher order Laplacians on spherical domains，J. Math. (Wuhan), 2009, 29: 449-453 (with X. Li).

6. Extrinsic estimates for the eigenvalues of Schrodinger operator, Geom. Dedicata, 2009, 143: 89-107 (with X. Li and R. Xu). SCI

7. Universal bounds for eigenvlaues of Laplacian operator with any order, Acta Math. Sci. Ser. B Engl. Ed., 2010, 30: 939-948 (with W. Chen). SCI

8. Inequalities of eigenvalues for bi-kohn Laplacian on Heisenberg group, Acta Math. Sci. Ser. B Engl. Ed., 2010, 30: 125-131 (with W. Chen). SCI

9. Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds, Arch. Math. (Basel). 2010, 94: 265-275 (with B. Ma). SCI

10. Estimates on the first two buckling eigenvalues on spherical domains, J. Geom. Phys., 2010, 60: 714-719 (with X. Li and X. Qi). SCI

11. Estimates for lower order eigenvalues of a clamped plate problem, Calc. Var. Partial Differential Equations, 2010, 38: 409-416 (with Q.-M. Cheng and G. Wei). SCI

12. Estimates on eigenvalues for the biharmonic operator on a bounded domain in H^n(-1), Acta Math. Sci. Ser. B Engl. Ed., 2011, 31: 1383-1388 (with X. Li). SCI 

13. Liouville-type theorem for the drifting Laplacian operator, Arch. Math. (Basel), 2011, 96: 379-385 (with C. Zhang and J. Zhang). SCI 

14. Extrinsic eigenvalue estimates of Dirac operators on Riemannian manifolds，Math. Nachr., 2011, 284: 273-286 (with L. Chen and X. Sun). SCI 

15. Universal bounds on eigenvalues of the buckling problem on spherical domains, J. Math.(PRC), 2011, 31(5): 840-846 (with X. Li and L. Cao).

16. Gradient estimates and differential Harnack inequalities for a nonlinear parabolic equation on Riemannian manifolds, Ann. Glob. Anal. Geom., 2013, 43: 209-232 (with Z. Huang and H. Li). SCI

17. Eigenvalue relationships between Laplacians of constant mean curvature hypersurfaces in S^{n+1}, Commun. Math. 2013, 21:31–38 (with B. Ma).

18. Lower bounds for the scalar curvature of noncompact gradient solitons of List's flow, Arch. Math. (Basel), 2013, 100: 593-599 (with B. Ma). SCI

19. The classification of (m,ρ)-quasi-Einstein manifolds, Ann. Global Anal. Geom. 2013, 44: 269-282 (with Y. Wei). SCI

20. Gradient Estimates for the porous medium equations on Riemannian manifolds, J. Geom. Anal., 2013, 23: 1851–1875 (with Z. Huang and H. Li). SCI

21. Gradient estimates and entropy formulae of porous medium and fast diffusion equations for the Witten Laplacian, Pacific J. Math. 2014, 268: 47-78 (with H. Li). SCI

22. On a classification of the quasi Yamabe gradient solitons, Methods Appl. Anal. 2014, 21: 379-389 (with H. Li).

23. A note on gradient generalized quasi-Einstein manifolds, J. Geom. 2015, 106: 297-311 (with F. Zeng).

24. Gradient estimates and Liouville type theorems for a nonlinear elliptic equation, Arch. Math. (Basel) 2015, 105: 491-499 (with B. Ma). SCI

25. Hamilton's gradient estimates and Liouville theorems for porous medium equations, J. Inequal. Appl. 2016, Paper No. 37, 7 pp. (with R. Xu and F. Zeng). SCI

26. Hamilton-Souplet-Zhang's gradient estimates for two types of nonlinear parabolic equations under the Ricci flow, J. Funct. Spaces 2016, Art. ID 2894207, 7 pp. (with B. Ma). SCI

27. Evolution of a geometric constant along the Ricci flow, J. Inequal. Appl. 2016, Paper No. 53, 11 pp. (with Z. Li). SCI

28. De Lellis-Topping type inequalities for f-Laplacians, Studia Math. 2016, 232: 189-199 (with F. Zeng). SCI

29. Vanishing theorems for Killing vector fields on complete hypersurfaces in the hyperbolic space, Colloq. Math. 2016, 145: 99-105 (with H. Li). SCI

30. Sharp bounds for the first nonzero Steklov eigenvalues for f-Laplacians, Turkish J. Math. 2016, 40: 770-783 (with B. Ma). SCI

31. Riemannian manifolds with harmonic curvature, Colloq. Math. 2016, 145: 251-257 (with B. Ma). SCI

32. Integral pinched gradient shrinking ρ-Einstein solitons, J. Math. Anal. Appl. 2017, 451: 1045-1055. SCI

33. Hamilton's gradient estimates of porous medium and fast diffusion equations, Geom. Dedicata 2017, 188: 1-16 (with B. Ma). SCI

34. Eigenvalue estimates for submanifolds with bounded f-mean curvature, Proc. Indian Acad. Sci. Math. Sci. 2017, 127: 375–381 (with B. Ma). SCI

35. Hamilton-Souplet-Zhang's gradient estimates for two weighted nonlinear parabolic equations, Appl. Math. J. Chinese Univ. Ser. B, 2017, 32: 353-364 (with B. Ma). SCI

36. Estimates for eigenvalues of Lr operator on self-shrinkers, Internat. J. Math. 2017, 28: 1750097, 18 pp. (with X. Qi and H. Li). SCI

37. Some characterizations on critical metrics for quadratic curvature functions, Proc. Amer. Math. Soc. 2018, 146: 385–395 (with L. Chen). SCI

38. Rigidity of complete noncompact Riemannian manifolds with harmonic curvature, J. Geom. Phys. 2018, 124: 233-240 (with B. Ma). SCI

39. Liouville type theorems of a nonlinear elliptic equation for the V-Laplacian, Anal. Math. Phys. 2018, 8: 123-134 (with Z. Li). SCI

40. The classification of static spaces and related problems, Colloq. Math. 2018, 151: 189-202 (with F. Zeng). SCI

41. Monotonicity formulas of eigenvalues and energy functionals along the rescaled list's extended Ricci flow, Mediterr. J. Math. 2018, 15: Art. 63, 20 pp. (with Z. Li). SCI

42. Rigidity of Einstein metrics as critical points of quadratic curvature functionals on closed manifolds, Nonlinear Anal. 2018, 175: 237-248 (with B. Ma, X. Li and Y. Chen). SCI

43. Rigidity of Riemannian manifolds with positive scalar curvature, Ann Glob Anal Geom.  2018, 54: 257-272. SCI

44. Gradient estimates for a nonlinear elliptic equation on complete Riemannian manifolds, Proc. Amer. Math. Soc. 2018, 146: 4993-5002. (with B. Ma and Y. Luo). SCI

45. L1 and L2 energy for heat equations on closed manifolds,  Adv. Math. (China) 2018, 47: 224-230 (with F. Zeng). 

46. Boundary effect of m-dimensional Bakry-Emery Ricci curvature, Anal. Math. Phys, 2019, 9: 1319-1331 (with Q. Tu). SCI

47. Rigidity of complete Riemannian manifolds with vanishing Bach tensor, Bull. Korean Math. Soc. 2019, 56: 1341-1353. (with B. Ma). SCI

48. Some rigidity characterizations on critical metrics for quadratic curvature functionals，Anal. Math. Phys. 2020, 10: Paper No. 12, 14 pp. SCI

49. Upper bounds on the first eigenvalue for the p-Laplacian, Mediterr. J. Math. 2020, 17: Paper No. 112, 18 pp. (with Z. Li). SCI

50. A note on rigidity of Riemannian manifolds with positive scalar curvature, Arch. Math. (Basel), 2020, 115: 457-465. (with Q. Zeng). SCI

51. Some rigidity characterizations of Einstein metrics as critical points for quadratic curvature functionals, Bull. Korean Math. Soc. 2020, 57: 1367-1382. (with B. Ma and J. Yang). SCI

52. Rigidity characterizations of complete Riemannian manifolds with α-Bach-flat, J. Korean Math. Soc. 2021, 58: 401-418.  (with Q. Zeng). SCI

53. Rigidity of Einstein metrics as critical points of some quadratic curvature functionals on complete manifolds, J. Geom. Anal. 2021, 31: 7968-7988. (with Y. Chen and X. Li). SCI

54. Rigidity of Riemannian manifolds with vanishing generalized Bach tensor, J. Geom. Phys. 2021, 170: Paper No. 104380, 15 pp.  (with B. Ma and X. Li). SCI

55. Estimates for eigenvalues of the operator L_r, J. Math. Anal. Appl. 2022, 507: Paper No. 125739, 13 pp. (with X. Qi). SCI

56. Rigidity of critical metrics for quadratic curvature functions on closed Riemannian manifolds, Colloq. Math. 2022, 169: 103-116.  (with B. Ma). SCI

57. Some geometric inequalities on Riemannian manifolds associated with the generalized modified Ricci curvature, J. Math. Phys. 2022, 63: Paper No. 111508, 12 pp. (with M. Zhu). SCI

58. Colesanti type inequalities for affine connections, Anal. Math. Phys. 13 (2023), no. 1, Paper No. 12, 15 pp. (with B. Ma and M. Zhu). SCI

59. Liouville type theorems for nonlinear p-Laplacian equation on complete noncompact Riemannian manifolds, Chinese Ann. Math. Ser. B 2023,44: 379-390. (with L. Zhao). SCI

60. Rigidity characterizations of \alpha-Bach-flat manifolds, Adv. Math.(China) 2023, 53: 358-370. (with Q. Zeng).  

61. Estimates for the first eigenvalues of the affine Laplacian,  Arch. Math. (Basel) 2023, 121: 77-87. (with M. Zhu). SCI

62. Variational formulae of some functionals by the modified Schouten tensor, J. Fixed Point Theory Appl. 25 (2023), no. 3, Paper No. 73, 21 pp. (with B. Ma and Q. Zeng). SCI

63. Some comparisons of Dirichlet, Neumann and Buckling eigenvalues on Riemannian manifolds, Front. Math. 2023, 18(5): 1025-1035. (with B. Ma). SCI

64. Rigidity results for closed vacuum static spaces, AIMS Math. 8 (2023), no. 12, 28728-28737. 53. (with B. Wang). SCI

65. Some integral inequalities on weighted Riemannian manifolds with boundary, Proc. Amer. Math. Soc. 2023, 151: 4961-4970. (with M. Zhu). SCI