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Du, Rong ( 杜 荣 ) 
Title: Professor
Department: Pure Mathematics
Office: Room 312, Math Building
Telephone: 54342646-312
Email: rdu@math.ecnu.edu.cn
Homepage: http://math.ecnu.edu.cn/~rdu
Homepage2: https://faculty.ecnu.edu.cn/_s42/dr2/main.psp
Research Interest
Algebraic Geometry, Complex Geometry and CR Geometry
Resume
cv

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.

Selected Publications
papers

Papers:

l  R. Du : Pinched theorem and the reverse Yau's inequalities for compact Kähler-Einstein manifolds, J. Geom.  Anal.  (2025).

l  R. Du and Y. Zhou: Uniform (d+1)-bundle over the Grassmannian G(d,n) in positive characteristic, Math. Nach. (2025).

l  R. Du and Y. Zhou: Uniform (d+1)-bundle over the Grassmannian G(d,n), Int. J.  Math. Vol. 36, No. 4 (2025) .

l  R. Du, X. Fang and P. Ren:  Homogeneous ACM bundles on isotropic Grassmannians, Forum Math. 35(2023), No. 3, 763-782.

l  R. Du, X. Fang and Y. Gao:  Vector bundles on Flag varieties, Math. Nach. 296 (2023), No. 2, 630-649.

l  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.

l  R. Du, X. Fang and Y. Gao:  Vector bundles on rational homogeneous spaces, Ann. Mat. Pur. Appl., Vol. 200 (2021), 2797-2827.

l  R. Du and X. Fang : Normal bundles on the exceptional sets of simple small resolutions, Asian J. Math., Vol. 25, No. 2 (2021), 295–304.

l 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.

l  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.

l  R. Du and Y. Gao: On abelian canonical n-folds of general type, Taiwan. J. Math., Vol. 21, No. 3 (2017), 653-664.

l   R. Du and Y. Gao: Canonical degrees of Gorenstein three folds of general type,  Geom. Dedicata, Vol 185 (2016), 123-130.

l   R. Du, Y. Gao and S. Yau: On higher dimensional complex Plateau problem, Math. Zeit., Vol.282 (2016), 389-403.

l  R. Du and Y. Gao: On the Griffiths numbers for higher dimensional singularities, Ann. Inst. Fourier (Grenoble) Vol. 65, No. 1(2015), 389-395.

l  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.

l  R. Du and Y. Gao: New invariants for complex manifolds and rational singularities, Pacific J. Math., Vol. 269, No. 1(2014), 73-97.

l  R. Du and Y. Gao: Canonical maps of surfaces defined by Abelian covers, Asian J. Math., Vol. 18, No. 2(2014), 219–228.

l  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.

l  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.  

l  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.

l  R. Du and S. Yau: Local holomorphic De Rham cohomology, Comm. Anal. Geom., Vol. 18, No. 2(2010), 365-374.

l  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.

l  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:

l  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.

l  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.

l  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:

l  R. Du, Y. Wang and D. Zhang : On uniform and nonhomogeneous vector bundles over Grassmannians, (submitted).

l  R. Du and Y. Zhou: Uniform vector bundles over P4, (submitted). 

 

Books:

l   近世代数(第三版),韩士安,林磊,杜荣;科学出版社。

 

 

Recent Publications(From MathSciNet)
MR4974753 Pending Du, Rong; Zhou, Yuhang Uniform $(d+1)$-bundle over the Grassmannian $G(d,n)$ in positive characteristics. Math. Nachr. 298 (2025), no. 8, 2867–2887. 14M15
Publication Year 2025 Indexed 2026-02-18
MR4882952 Reviewed Du, Rong Pinched theorem and the reverse Yau's inequalities for compact Kähler-Einstein manifolds. J. Geom. Anal. 35 (2025), no. 5, Paper No. 135, 28 pp. (Reviewer: Mancho H. Manev) 32Q05 (32Q10 53C55)
Publication Year 2025 Indexed 2025-05-19 Review Published2025-09-12
MR4858789 Reviewed Du, Rong; Zhou, Yuhang Uniform $(d+1)$-bundle over the Grassmannian $G(d,n)$. Internat. J. Math. 36 (2025), no. 4, Paper No. 2450082, 33 pp. (Reviewer: Aigli Papantonopoulou) 14J60 (14M15)
Publication Year 2025 Indexed 2025-04-10 Review Published2025-12-12
MR4587283 Reviewed Du, Rong; Fang, Xinyi; Ren, Peng Homogeneous ACM bundles on isotropic Grassmannians. Forum Math. 35 (2023), no. 3, 763–782. (Reviewer: Francesco Malaspina) 14J60 (14F06 14M17)
Publication Year 2023 Indexed 2023-07-13 Review Published2025-09-02
MR4553615 Reviewed Du, Rong; Fang, Xinyi; Gao, Yun Vector bundles on flag varieties. Math. Nachr. 296 (2023), no. 2, 630–649. (Reviewer: Kelly Jabbusch) 14J60 (14M15)
Publication Year 2023 Indexed 2023-04-04 Review Published2023-07-19
MR4544557 Reviewed Du, Rong; Sun, Hao Inequalities of Chern classes on nonsingular projective $n$-folds with ample canonical or anti-canonical line bundles. J. Differential Geom. 122 (2022), no. 3, 377–398. (Reviewer: Dmitry Kerner) 14C17 (14C25 14J29 14J45 14N15)
Publication Year 2022 Indexed 2023-03-28 Review Published2023-11-21
MR4334418 Reviewed Du, Rong; Fang, Xinyi Normal bundles on the exceptional sets of simple small resolutions. Asian J. Math. 25 (2021), no. 2, 295–304. (Reviewer: Eliris Cristina Rizziolli) 14B05 (14J60)
Publication Year 2021 Indexed 2021-12-23 Review Published2022-06-09
MR4296306 Reviewed Du, Rong; Fang, Xinyi; Gao, Yun Vector bundles on rational homogeneous spaces. Ann. Mat. Pura Appl. (4) 200 (2021), no. 6, 2797–2827. (Reviewer: Carla Novelli) 14J60 (14M15 14M17)
Publication Year 2021 Indexed 2021-09-09 Review Published2022-06-09
MR4150754 Reviewed Chen, Yin; Du, Rong; Gao, Yun Modular quotient varieties and singularities by the cyclic group of order $2p$. Comm. Algebra 48 (2020), no. 12, 5490–5500. (Reviewer: Nikhilesh Dasgupta) 14R20 (13A50)
Publication Year 2020 Indexed 2020-11-09 Review Published2021-07-08
MR3824569 Reviewed Du, Rong On the canonical maps of nonsingular threefolds of general type. Asian J. Math. 22 (2018), no. 2, 299–306. (Reviewer: Jin-Xing Cai) 14J30 (14E20)
Publication Year 2018 Indexed 2018-09-11 Review Published2019-03-13
MR3702092 Reviewed Du, Rong; Gao, Yun; Yau, Stephen New invariants for higher dimensional singularities and the complex Plateau problem. Proceedings of the Sixth International Congress of Chinese Mathematicians. Vol. I, 453–465, Adv. Lect. Math. (ALM), 36, Int. Press, Somerville, MA, 2017. (Reviewer: Arturo Fernández-Pérez) 32V15 (32S05 32S20)
Publication Year 2017 Indexed 2017-12-15 Review Published2018-07-24
MR3661385 Reviewed Du, Rong; Gao, Yun On abelian canonical $n$-folds of general type. Taiwanese J. Math. 21 (2017), no. 3, 653–664. (Reviewer: Yu-Chao Tu) 14E20 (14J35 14J40)
Publication Year 2017 Indexed 2017-08-15 Review Published2018-01-14
MR3570305 Reviewed Du, Rong; Gao, Yun On the canonical degrees of Gorenstein threefolds of general type. Geom. Dedicata 185 (2016), 123–130. (Reviewer: Jing Zhang) 14J30 (14E20)
Publication Year 2016 Indexed 2017-02-22 Review Published2017-06-02
MR3448386 Reviewed Du, Rong; Gao, Yun; Yau, Stephen On higher dimensional complex Plateau problem. Math. Z. 282 (2016), no. 1-2, 389–403. (Reviewer: Yuan Zhang) 32V20
Publication Year 2016 Indexed 2016-04-08 Review Published2016-08-04
MR3449158 Reviewed Du, Rong; Gao, Yun On the Griffiths numbers for higher dimensional singularities. Ann. Inst. Fourier (Grenoble) 65 (2015), no. 1, 389–395. (Reviewer: Eleonore Faber) 32S05 (14B05 32C15)
Publication Year 2015 Indexed 2016-04-14 Review Published2016-08-09
MR3286440 Reviewed Du, Rong; Gao, Yun Some remarks on Yau's conjecture and complex Plateau problem. Methods Appl. Anal. 21 (2014), no. 3, 357–363. 32V15 (32S05 32S20)
Publication Year 2014 Indexed 2015-02-17 Review Published2016-02-18
MR3233910 Reviewed Du, Rong; Gao, Yun New invariants for complex manifolds and rational singularities. Pacific J. Math. 269 (2014), no. 1, 73–97. (Reviewer: Arturo Fernández-Pérez) 32S25 (14B05 32T15 32V15 57P05)
Publication Year 2014 Indexed 2014-09-04 Review Published2014-12-17
MR3217634 Reviewed Du, Rong; Gao, Yun Canonical maps of surfaces defined by abelian covers. Asian J. Math. 18 (2014), no. 2, 219–228. (Reviewer: M. Miyanishi) 14J29 (14E20)
Publication Year 2014 Indexed 2014-08-06 Review Published2015-03-02
MR2908085 Reviewed Du, Rong; Yau, Stephen 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. (Reviewer: Veselin T. Videv) 32S15 (32C25 32V20)
Publication Year 2012 Indexed 2012-07-06 Review Published2012-09-27
MR2899875 Reviewed Du, Rong; Yau, Stephen Kohn-Rossi cohomology and its application to the complex Plateau problem, III. J. Differential Geom. 90 (2012), no. 2, 251–266. (Reviewer: Francine A. Meylan) 32V15 (32C36 32T15)
Publication Year 2012 Indexed 2012-08-08 Review Published2013-02-14

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