开云网页登录数学科学学院

Ph.D (2007.7) , Dept. of Math., East China Normal University,

l2014.01-Present , Shanghai Jiao Tong University, Associate Professor,

l2014.09-2015.09,Post Doctor fellowship, Hong Kong University

l2009.12-2013.12, Shanghai Jiao Tong University, Assistant Professor,

l2008.01-2009.07, University of Illinois at Chicago, Visiting Research Assistant Professor,

l2007.09-2007.12, Essen University (German), Research Assistant Professor, DFG Program

Research Interests:

Algebraic Geometry: The classfication of algebraic surfaces, Singularities theory
Complex Geometry: The equivalence of some domains,

Workship:

Dec. 2009---, The department of Mathematics at Shanghai Jiao Tong Univeristy,
Jan. 2008-July 2009, Universtiy of Illinois at Chicago
Sept.-Oct. 2007, Mainz University, Germany
Oct.-Dec. 2007, Essen University, Germany

Education:

Ph.D (2007.7) , Dept. of Math., East China Normal University, Shanghai, P.R.C.,

(Advisors: Sheng-Li Tan, Zhijie Chen)

BSc.(2002.7) , Dept. of Math., Hubei University, Hubei, P.R.C.,

·Young Scientists Fund of NSFC, Algebraic surfaces and branch cusps curves (No. 11101270，2012-2014 ).

·Shanghai Jiao Tong University"Morningrise Excellent Young Research Scholar C"(2012) "Morningrise Excellent Young Research Scholar B"(2014) .

As one of the main members, participate in:

·Key Program of NSFC, The problems about complex analytic varieties, (No. 11531107, 2016-2020)

·General Program of NSFC ,Monomorphism categories with applications in algebra and geometry(No.11271251, 2013-2016)

·General Program of NSFC ,Monomial ideal and Cohen-Macaulay property (No.11271250, 2013-2016)

Invited talks:

The 10^thNational Conference in Algebra (Xiamen, Oct. 2006),
The international Conference in Algebraic Geometry and Complex Geometry (Fudan University, Jun. 2007),
Mainz University (Nov. 2007),
University of Illinois at Chicago (Sept. 2008)
The 12^thNational Conference in Algebra (Lanzhou, July. 2010),
Hong Kong University( Oct. 2012)

1)Yun Gao; Sui-Chung Ng, A hyperplane restriction theorem for holomorphic mappings and its application for the gap conjecture, Mathematische Annalen, 2023,https://doi.org/10.1007/s00208-023-02604-y

2)R. Du, XY Fang, and Y. Gao,Vector bundles on flag varieties,Mathematische Nachrichten, https://doi.org/10.1002/mana.202000582

3)Y. Gao, Orthogonal pair and a rigidity problem for Segre maps associated to real hyperquadrics, J. Geom. Analysis, (2022), 32(8): 1-13

4)Y. Gao,Sui-Chung Ng, On the rank of Hermitian polynomials and the SOS Conjecture, Inter. Math. Research Notices, (2022),https://doi.org/10.1093/imrn/rnac145

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

6)Y. Gao,Sui-Chung NgandAeryeong Seo，Generalizations of linear fractional maps for classical symmetric domains and related fixed point theorems for generalized balls，Ann. Mat. Pur. Appl., Vol. 200 , 81–99 (2021)

7)Yin Chen,Rong DuandY. Gao，Modular quotient varieties and singularities by the cyclic group of order 2p，Communications in Algebra: Vol 48, No 12

8)Y. Gao and S.-C. Ng , On the classification of rational proper maps among genrelaized balls, Asian. J. Math,22(2):355-380, 2018

9)R. Du, Y. Gao and Stephen Yau, New invariants for higher dimensional singularities and the complex plateau problem, Proceeding of the 6th International Congress Chinese Mathematicians, Vol I, 453-466

10)R. Du and Y. Gao:On Abelian canonical n-fold of general type, Taiwanese Journal of Mathematics, 21(3), 653-664

11)R. Du and Y. Gao: Canonical degrees of Gorenstein three folds of general type, Geom. Dedicata, 185(1), 123-130

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

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

14)R. Du and Y. Gao: Some remarks on Yaus conjecture and complex Plateau problem, Methods Appl. Anal., Vol. 21, No. 3(2014), 357-364.

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

16)R. Du and Y. Gao: Canonical maps of surfaces defined by Abelian covers, Asian J. Math., Vol. 18, No. 2(2014), 219C228.

17)Y. Gao: A note on finite abelian covers, Sci. China Math, Vol. 54 No. 7, 20111333-1342

18)Y. Gao; S.-L. Tan, Seshadri constants and the spaces of curves with prescribed singularities and positions, Sci. China Math. 54 (2011), no. 8, 1611-1620

19)R. Du, Y. Gao and S. Yau: Explicit construction of moduli space of bounded complete Reinhardt domains in C^n, Comm. Anal. Geom., Vol. 18, No. 3(2010), 601-626.

Mar. -Jun. 2010, Matrix Theory, graduate student,

Sept. 2010-Jan. 2011, Linear Algebra, undergraduate student,