杜荣
教授
所属大学: 华东师范大学
所属学院: 数学科学学院
个人简介
Education University of Illinois at Chicago, Department of Mathematics, Statistics and Computer Science, Ph.D. 2009 East China Normal University, Department of Mathematics, M.A. 2005, B.A. 2002 Professional Experience 2014-now, East China Normal University, Department of Mathematics, Professor 2010-2014, East China Normal University, Department of Mathematics, Associate Professor 2012-2014, University of Hong Kong, Department of Mathematics, Postdoctoral Fellow 2009-2010, University of Illinois at Chicago, Department of Mathematics, Statistics and Computer Science, Visiting Research Assistant Professor
研究领域
代数几何,复几何和CR几何
近期论文
Papers R. Du, Xinyi Fang and P. Ren: Homogeneous ACM bundles on isotropic Grassmannians, Forum Math. 35(2023), No. 3, 763-782. R. Du, Xinyi Fang and Y. Gao: Vector bundles on Flag varieties, Math. Nach. 296 (2023), No. 2, 630-649. R. Du and H. Sun : Inequalities of Chern classes on nonsingular projective n-folds with ample canonical or anti-canonical line bundles, J. Differential Geom. Vol. 122 (2022) , 377-398. R. Du, Xinyi Fang and Y. Gao: Vector bundles on rational homogeneous spaces, Ann. Mat. Pur. Appl., Vol. 200 (2021), 2797-2827. R. Du and Xinyi Fang : Normal bundles on the exceptional sets of simple small resolutions, Asian J. Math., Vol. 25, No. 2 (2021), 295–304. Y. Chen, R. Du and Y. Gao: Modular quotient varieties and singularities by the cyclic group of order 2p, Commun. Algebra, 8 (12), 5490-5500, 2020. R. Du : On the canonical maps of nonsingular threefolds of general type (Dedicated to Professor N. Mok on the occasion of his 60th birthday), Asian J. Math., Vol. 22, No. 2(2018), 299-306. R. Du and Y. Gao: On abelian canonical n-folds of general type, Taiwan. J. Math., Vol. 21, No. 3 (2017), 653-664. R. Du and Y. Gao: Canonical degrees of Gorenstein three folds of general type, Geom. Dedicata, Vol 185 (2016), 123-130. R. Du, Y. Gao and S. Yau: On higher dimensional complex Plateau problem, Math. Zeit., Vol.282 (2016), 389-403. R. Du and Y. Gao: On the Griffiths numbers for higher dimensional singularities, Ann. Inst. Fourier (Grenoble) Vol. 65, No. 1(2015), 389-395. R. Du and Y. Gao: Some remarks on Yau's conjecture and complex Plateau problem (Dedicated to Professor Stephen S.-T. Yau on the occasion of his 60th birthday), Methods Appl. Anal., Vol. 21, No. 3(2014), 357-364. R. Du and Y. Gao: New invariants for complex manifolds and rational singularities, Pacific J. Math., Vol. 269, No. 1(2014), 73-97. R. Du and Y. Gao: Canonical maps of surfaces defined by Abelian covers, Asian J. Math., Vol. 18, No. 2(2014), 219–228. R. Du and S. Yau: Kohn-Rossi cohomology and its application to the complex Plateau problem, III, J. Differential Geom., Vol. 90, No. 2(2012), 251-266. R. Du, H.S. Luk and S. Yau: New invariants for complex manifolds and isolated singularities, Comm. Anal. Geom., Vol. 19, No. 5(2011), 991-1021. R. Du, Y. Gao and S. Yau: Explicit construction of moduli space of bounded complete Reinhardt domains in Cn, Comm. Anal. Geom., Vol. 18, No. 3(2010), 601-626. R. Du and S. Yau: Local holomorphic De Rham cohomology, Comm. Anal. Geom., Vol. 18, No. 2(2010), 365-374. R. Du and S. Yau: The second pluri-genus of Gorenstein surface singularities (Dedicated to Professor Yang Lo on the Occasion of his 70th Birthday), Sci. China, Ser. A, Vol. 53 No. 3(2010),635-639. R. Du and S. Yau: Higher order Bergman functions and complete numerical invariants for a family of pseudoconvex CR manifolds, J. Differential Geom., Vol. 82, No. 3(2009), 567-610. Conference Proceedings R. Du, Y. Gao and S. Yau: New Invariants for Higher Dimensional Singularities and the Complex Plateau Problem, Sixth International Congress of Chinese Mathematicians. Part 1, 2,453–466, AMS/IP Stud. Adv. Math. Amer. Math. Soc., Providence, RI, 2017. R. Du and S. Yau: New invariants for complex manifolds, singularities, and CR manifolds with applications, Fifth International Congress of Chinese Mathematicians. Part 1, 2,431–445, AMS/IP Stud. Adv. Math., 51, pt. 1, 2, Amer. Math. Soc., Providence, RI, 2012. Z. Chen, R. Du, S.-L. Tan and F. Yu: Cubic equations of rational triple points of dimension two, Proceedings of the International Conference on Complex Geometry and Related Fields, 63–76, AMS/IP Stud. Adv. Math., 39, Amer. Math. Soc., Providence, RI, 2007. Preprints R. Du : Pinched theorem and the reverse Yau's inequalities for compact K?hler-Einstein manifolds, (submitted). R. Du and Y. Zhou: Uniform (d+1)-bundle over the Grassmannian G(d,n), (submitted). R. Du and Y. Zhou: Uniform (d+1)-bundle over the Grassmannian G(d,n) in positive characteristic, (submitted). R. Du, Y. Wang and D. Zhang : On uniform and nonhomogeneous vector bundles over Grassmannians, (submitted).