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
近期论文
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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).
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