朱鹏, 1980年出生,教授,硕士生导师。研究方向:微分几何与数学物理。
E-mail:zhupeng@jsut.edu.cn
教学情况:
承担本科生《高等数学》、《线性代数》、《微分几何》、《解析几何》《数学分析》等课程的教学任务;
承担硕士生《微分流形》、《微分拓扑》等课程的教学任务;
协助指导博、硕士生3名;
2013年、2014年全国“基础数学”研究生暑期学校,担任《流形上的几何》课程的辅导老师;
曾获第二届江苏省高校数学基础课青年教师授课竞赛特等奖。
工作经历:
2009/08-2013/08 扬州大学数学科学学院讲师、副教授
2010/05-2011/04 巴西Fluminense联邦大学(UFF)数学系, 博士后
2013/09-2017/06江苏理工学院数理学院副教授
2017/07-至今江苏理工学院数理学院教授(破格)
承担科研项目:
[1] 主持国家自然科学基金(11471145): 流形上的调和形式,2015.1-2018.12.
[2] 主持国家自然科学基金(11101352): 近Hermite流形中的若干问题,2012.1-2014.12.
[3] 主持国家自然科学基金(11026116):辛流形上的几何问题,2011.1-2011.12.
已发表30篇学术论文(SCI收录):
[23] Differential Harnack estimates for backward heat equations with potentials under geometric flows,
to appear in Comm. Pure Appl. Anal. (with S. Fang)
[22] Gap theorems on hypersurfaces in spheres, to appear in J. Math. Anal. Appl.
[21] Stable hypersurfaces in spheres with constant scalar curvature. to appear in Advances in Geometry.
(with Y. Jin)
[20] spiral wave generation in a diffusive predator-prey model with two time delays, to appear in Bull.
Korean Math. Soc.(with W. Gan)
[19] Evolution and monotonicity of eigenvalues under the Ricci flow, to appear in Science China
Mathematics. (with S. Fang and H. Xu)
[18] On cohomology of almost complex 4-manifolds, to appear in J. Geom. Anal. (with Q. Tan, H. Wang
and Y. Zhang)
[17] Hopf bifurcation in a fractional diffusion food-limited models with feedback control, to appear in J.
Math. Chem.(with Gan and Tian)
[16] Bertrand curves and Razzaboni surfaces in Minkowski 3-space, Bull. Korean Math.
Soc. 2015 52(2) 377-394. (with X. Cao and C.Y. Xu)
[15] Finiteness of non-parabolic ends on submanifoldsin spheres, Ann.Global Anal. Geom. 2014, 46,187-196. (with S. Fang)
[14] L^2 harmonic forms on minimal submanifolds in spheres, Results Math., 65(3-4), 483-490,
2014. (with W. Gan)
[13] Agaptheoremonsubmanifoldswithfinitetotalcurvatureinspheres, J. Math. Anal. Appl.,413(1), 195-201, 2014. (with S. Fang)
[12] L^2 harmonic forms and finiteness of ends, An. Acad. Brasil. Ciênc., 85(2), 457-471, 2013.
[11] Refined Kato Inequalities for harmonic fields on Kahler manifolds, Pacific J Math. 256(1), 51-66, 2012. (with F. Cibotaru)
[10]A Plankton Allelopathic Model Described by a Delayed Quasilinear Parabolic System, Mathematical Modelling and Analysis, 17, 485-497, 2012. (with C. Tian)
[9] Existence and Asymptotic Behavior of Solutions for Quasilinear Parabolic Systems, Acta Appl. Math., 17,157-173 2012. (with C. Tian)
[8]Vanishing theorems on hypersurfaces in Riemannian manifolds, Nonlinear Anal. (TMA), 75, 5039-5043 2012.
[7] Harmonic two-forms on manifolds with nonnegative isotropic curvature, Ann. Global Anal. Geom., 40 , 427-434, 2011.
[6] L^2 harmonic forms and stable hypersurfaces in space forms, Arch. Math. 97, 271-279, 2011.
[5] Cross-diffusion induced instability in Lviev0Tanner Model , International Journal of Biomathematics 2011, 4(4) (with J Bao andWZ Gan,)
[4] On a generalized Calabi-Yau equation, Annales de l’institut Fourier, 60, 1595-1615, 2010. (with H.Y Wang)
[3] Local Riemann-Roch theorem for almost Hermitian manifolds, Bull. Braz. Math. Soc. 41, 583-605, 2010. (with H.Y Wang)
[2] Coexistence of two species in a strongly coupled Schoener’s competitive model, Acta Appl. Math 110 (2010) 469-476. (with W.Z. Gan and Z.G. Lin )
[1] Comment on “Application of the G'/G-expansion method for nonlinear evolution equations”, Commun. Theor. Phys. 52, 206-208, 2009.