鲁迅先生的详细资料 丘成栋简介及详细资料

丘成栋简介及详细资料  

简介

丘成栋，男，原籍广东省梅州市蕉岭县，1952年生于香港，曾任美国伊利诺伊大学芝加哥分校数学、统计和计算机科学系特聘教授，该校信息控制实验室主任，IEEE Fellow，国际顶尖数学专业杂志《Journal of Algebraic Geometry》创始人与主编、《Communications in Information and Systems》创始人与主编。

中文名

丘成栋

出生日期

1952年

外文名

Stephen Yau

年龄

64岁

教育经历

Ph.D (1976), The state University of New York at Stony Brook

职业

美国依利诺依大学任教

M.A. (1974), The State University of New York at Stony Brook

研究方向

代数几何 自动控制理论

个人成就

2011年6月，著名数学家丘成栋(Stephen Yau)教授辞去美国伊利诺伊大学芝加哥分校的永久职位，接受清华大学邀请，全职到清华大学数学科学系工作。他已来到清华大学并办完入职手续，成为了清华大学的一名正式教授。

此后，丘成栋教授将全身心地投入到清华大学数学学科的发展与建设，为清华大学数学学科的教学科研、学科建设、人才队伍建设和国际合作交流等作出贡献。丘成栋教授1976年获美国纽约州立大学石溪分校博士学位，历任美国普林斯顿高等研究院成员(1976-77)，哈佛大学Benjamin Pierce助理教授(1977-80)，伊利诺伊大学芝加哥分校数学、统计和计算机科学系副教授(1980-84)、教授(1984-)、特聘教授(2005-)。

他开创了natural vector方法来表示基因组和蛋白质。 如果两个基因组或蛋白质从生物意义上互相接近，那么它们的natural vector具有很近的距离。因此，natural vector方法不仅对基因组和蛋白质提供了快速、唯一的表示，而且成为有力的聚类和预测工具。基于natural vector方法，丘教授计画构造一个基因组资料库和一个蛋白质资料库。与当前的基因组或蛋白质资料库不同，他构造的新的资料库将支持对所有已知的基因组和蛋白质进行同时的比较研究。公共蛋白质资料库记录了当前有超过八百万的蛋白质存在。在如今的方法中，只有natural vector方法可以完成同时比较这个"不可能的任务"。丘教授计画在清华大学组建一个团队来开展这个科研项目。

教育背景

1970.09 - 1973.07

香港中文大学数学系

本科

1973.09 - 1974.07

美国纽约州立大学石溪分校 数学系

硕士

1974.08 - 1976.07

美国纽约州立大学石溪分校 数学系

博士

工作履历

2011.06 - 至今

清华大学数学科学系

教授

2005.09 - 2011.05

美国伊利诺伊大学芝加哥分校

杰出教授

2002.09 - 2011.05

华东师范大学数学研究所

所长(兼职)

1989.08 - 1990.07

美国约翰.霍普金斯大学

访问教授

1984.08 - 2005.08

美国伊利诺伊大学芝加哥分校数学、统计与计算科学系

教授

1984.08 - 1985.07

美国耶鲁大学

访问教授

1981.09 - 1982.08

美国普林斯顿高等研究院

成员

1980.08 - 1984.07

美国伊利诺伊大学芝加哥分校数学、统计与计算科学系

副教授

1977.09 - 1980.08

美国哈佛大学数学系

助理教授

1976.08 - 1977.08

美国普林斯顿高等研究院

成员

学术兼职

1992.01 - 至今

《Journal of Algebraic Geometry》

创刊编委、首席编委

2001.01 - 至今

《Communications in Information and Systems》

主编

研究领域

主要研究方向:

代数几何、奇点理论;复几何;非线性滤波理论;生物信息学。

其他研究方向:

代数几何码，资讯理论，控制论，金融数学，图像资料库，计算机软体测试。

研究概况

主要科研项目:

[1] 国家自然科学基金:复解析簇的局部和整体问题研究，项目编号:11531007，执行年限:2016.01-2020.12，总经费:276万，项目负责人。

[2] 国家自然科学基金:关于有限维非线性滤波分类和多项式滤波问题的研究，项目编号:11471184，执行年限:2015.01-2018.12，总经费:80万，项目负责人。

[3] 教育部:海洋微生物基因组分类与进化的几何算法研究，执行年限:2014.01-2016.12，总经费:70万，项目负责人。

[4] 国家自然科学基金:病毒基因空间几何算法研究和对新病毒威胁快速探测及预警，项目编号:31271408，执行年限:2013.01-2016.12，总经费:60万，项目负责人。

奖励与荣誉

1. 2013年1月，获美国数学学会Fellow (Fellow of the American Mathematical Society)。

2. 2005年5月，获美国伊利诺伊大学杰出教授 (UIC Distinguished Professor)。

3. 2003年1月，获电气电子工程师学会Fellow (IEEE Fellow)。

4. 2000年9月，获约翰.西蒙.古根海姆奖 (John Simon Guggenheim Fellowship)。

5. 1980年4月，获艾尔弗雷德. P. 斯隆奖 (Alfred P. Sloan Fellowship)。

学术成果

截止2016年3月，已发表论文324篇。其中以清华大学为通讯单位发表的论文有55篇。如下:

Virus classification in 60-dimensional protein space (with Yongkun Li, Kun Tian, Changchuan Yin and Rong Lucy He), (to appear), Molecular Phylogeics and Evolution, 2016. A New Method for Studying the Evolutionary Origin of the SAR11 Clade Marine Bacteria (with Xin Zhao and Rong Lucy He), (to appear), Molecular Phylogeics and Evolution, 2016. Derivations of the moduli algebras of weighted homogeneous hypersurface singularities (with Huaiqing Zuo), (to appear), Journal of Algebra, 2016. Thom-Sebastiani properties of Kohn-Rossi cohomology of pact connected strongly pseudoconvex CR manifolds (with Huaiqing Zuo), (to appear), SCIENCE CHINA Mathematics, 2016. A Sharp upper estimate conjecture for the Yau number of weighted homogeneous isolated hypersurface singularity (with HUAI QING ZUO),(to appear), Pure and Applied Mathematics Quarterly, 2016. Recent results on rigidity of CR morphisms beeen pact strongly pseudoconvex CR manifolds (with Huaiqing Zuo), (to appear), Proceedings of ICCM2013, 2016. A sharp estimate of positive integral points in 6-dimensional polyhedra and a sharp estimate of smooth numbers (with Andrew Liang and Huaiqing Zuo), SCIENCE CHINA Mathematics, Vol. 59, No. 3 (2016), 425-444. On the polynomial sharp upper estimate conjecture in 7-dimensional simplex (with Beihui Yuan and Huaiqing Zuo), Journal of Number Theory, Vol. 160 (2016), 254-286. On higher dimensional plex Plateau problem (with Rong Du and Yun Gao), Mathematische Zeitschrift, Vol. 282(2016), 389-403. Interplay beeen CR Geometry and Algebraic Geometry (with Huaiqing Zuo), Complex Geometry and Dynamics – Proceedings of the Abel Symposium 2013, NTNU, Trondheim, Norway, July 2-5, 2013, Vol. 10(2015), 227-258. On the quenching behavior of the mems with fringing field (with Xue Luo), Quarterly of Applied Mathematics, Vol. 73, No. 4 (2015), 629-659. Some Finite Dimensional Filters derived from the Structure Theorem for Five-dimensional Estimation Algebras (with Wen-Lin Chiou and Shaopu Lin), Asian Journal of Math., Vol. 19, No. 5 (2015), 793-810. Topological Classification of Simplest Gorenstein Non-plete Intersection Singularities of Dimension 2 (with Mingyi Zhang and Huaiqing Zuo), Asian Journal of Mathematics, Vol. 19, No. 4 (2015), 651-792. A Novel Suboptimal Method for Solving Polynomial Filtering Problems (with Xue Luo, Yang Jiao and Wen-Lin Chiou), Automatica, Vol. 62 (2015), 26-31. Two dimensional Yau-Hausdorff distance with applications on parison of DNA and protein sequences (with Kun Tian, Xiaoqian Yang, Qin Kong, Changchuan Yin and Rong L. He), PLoS ONE, 2015, DOI:10.1371/journal.pone.0136577. Ebolaviruses Classification Based on Natural Vectors (with Hui Zheng, Changchuan Yin, Tung Hoang, Rong Lucy He and Jie Yang), DNA and Cell Biology, Vol. 34, No. 6 (2015), 1-11. An improved model for whole genome phylogeic analysis by Fourier transform (with Changchuan Yin), Journal of Theoretical Biology, Vol. 382 (2015), 99-110. Time-dependent Hermite-Galerkin spectral method and its applications (with Xue Luo and Shing Tung Yau), Applied Mathematics and Computation, Vol. 264 (2015), 378-391. A new method to cluster DNA sequences using Fourier power spectrum (with Tung Hoang, Changchuan Yin, Hui Zheng, Chenglong Yu and Rong Lucy He), Journal of Theoretical Biology, Vol. 372 (2015), 135-145. Plurigenera of pact connected strongly pseudoconvex CR manifolds (with Ke-Pao Lin and Huaiqing Zuo), Science China Mathematics, Vol. 58, No. 3 (2015), 525-530. Distinguishing Proteins From Arbitrary Amino Acid Sequences (with Wei-Guang Mao, Max Benson, and Rong Lucy He), Scientific Reports,Vol. 5 (2015), 1-8. Complete characterization of isolated homogeneous hypersurface singularities (with Huaiqing Zuo), Pacific Journal of Mathematics, Vol. 273, No. 1 (2015), 213-224. On classification of toric surface codes of low dimension (with Xue Luo, Mingyi Zhang and Huaiqing Zuo), Finite Fields and Their Applications, Vol. 33 (2015), 90-102. A sharp polynomial estimate of positive integral points in a 4-dimensional tetrahedron and a sharp estimate of the Dickman-de Bruijn function (with Xue luo and Huaiqing Zuo), Mathematische Nachrichten, Vol. 288, No. 1 (2015), 61-75. On a number-theoretic conjecture on positive integral points in a 5-dimensional tetrahedron and a sharp estimate of the Dickman-De Bruijn function (with Ke-Pao Lin, Xue Luo, and Huaiqing Zuo), Journal of the European Mathematical Society, Vol. 16 (2014), 1937-1966. Global parison of multiple-segmented viruses in 12-dimensional Genome space (with Hsin-Hsiung Huang, Chenglong Yu, Hui Zheng, Troy Hernandez, Shek-Chung Yau, Rong Lucy He, and Jie Yang), Molecular Phylogeics and Evolution, Vol. 81 (2014), 29-36. K-mer sparse matrix model for geic sequence and its applications in sequence parison (with Jia Wen and YuYan Zhang), Journal of Theoretical Biology, Vol. 363 (2014), 145-150. A measure of DNA sequence similarity by Fourier Transform with applications on hierarchical clustering (with Changchuan Yin, and Ying Chen), Journal of Theoretical Biology, Vol. 359 (2014), 18-28. DFA7, A New Method to Distinguish beeen Intron-containing and Intronless Genes (with Chenglong Yu, Mo Deng, Lu Zheng, Rong Lucy He, and Jie Yang ), PLoS ONE, Vol. 9, No. 7 (2014), 1-10. K-mer natural vector and its application to the phylogeic analysis of geic sequences (with Wen Jia, Raymond H.F. Chan, Shek-Chung Yau, Rong L. He), Gene, Vol. 546, No. 1 (2014), 25-34. Viral genome phylogeny based on Lempel-Ziv plexity and Hausdorff distance (with Chenglong Yu, Rong Lucy He), Journal of Theoretical Biology, Vol. 348 (2014), 12-20. On variance of exponents for isolated surface singularities with modality ≤ 2 (with Huaiqing Zuo), Science China Mathematics, Vol. 57, No. 1 (2014), 31-41. Hermite Spectral Method with Hyperbolic Cross Approximations to High-dimensional Parabolic PDEs (with Xue Luo), SIAM J. Numer. Anal., Vol. 51, No. 6 (2013), 3186-3212. Hermite spectral method to 1-D forward Kolmogorov equation and its application to nonlinear filtering problems (with Xue Luo), IEEE Transactions on Automatic Control, Vol. 58, No. 10 (2013), 2495-2507. Several splitting criteria for vector bundles and reflexive sheaves (with Fei Ye), Pacific Journal of Mathematics, Vol. 266, No. 2 (2013), 449-456. Complete real time solution of the general nonlinear filtering problem without memory (with Xue Luo), IEEE Transactions on Automatic Control, Vol. 58, No. 10 (2013), 2563-2578. Protein sequence parison based on K-string dictionary (with Chenglong Yu and Rong L. He), Gene, Vol. 529 (2013), 250-256. Nonconstant CR morphisms beeen pact strongly pseudoconvex CR manifolds and étale convering beeen resolutions of isolated singularities (with Yu-Chao Tu and Huaiqing Zuo), J. Differential Geometry, Vol. 95 (2013), 337-354. Denoising the 3-Base Periodicity Walks of DNA Sequences in Gene Finding (with Changchuan Yin and Dongchul Yoo), Journal of Medical and Bioengineering, Vol. 2, No. 2 (2013), 80-83. Real Time Classification of Viruses in 12 Dimensions (with Chenglong Yu, Troy Hernandez, Hui Zheng, Shek-Chung Yau, Hsin-Hsiung Huang, Rong Lucy He, Jie Yang), PLoS One, Vol. 8, No. 5 (2013), 1-10. Characterization of isolated plete intersection singularities with C*-action of dimension n≥2 by means of geometric genus and irregularity (with Huaiqing Zuo), Communications in Analysis and Geometry, Vol. 21, No. 3 (2013), 509-526. Protein space: A natural method for realizing the nature of protein universe (with Chenglong Yu, Mo Deng, Shiu-Yuen Cheng, Shek-Chung Yau, Rong L. He), Journal of Theoretical Biology, Vol. 318 (2013), 197-204. Sharp polynomial estimate of integral points in right-angled simplices (with Linda Zhao), Journal of Number Theory, Vol. 133, No. 2 (2013), 398-425. Mitter conjecture and structure theorem for six-dimensional estimation algebras (with Yang Jiao and Wen-Lin Chiou), International Journal of Control, Vol. 86, No. 1 (2013), 146-158. Decentralized detection in ad hoc sensor neorks with low data rate inter sensor munication (with Lu Zheng, Yingwei Yao, Mo Deng), IEEE Transactions on Information Theory, Vol. 58, No. 5 (2012), 3215-3224. A Novel Algorithm to Solve the Robust DMZ Equation in Real Time (with Xue Luo), 51st IEEE Conference on Decision and Control, Maui, Hawaii, Dec. 10-13, (2012), 606-611. Lower estimate of milnor number and characterization of isolated homogeneous hypersurface singularities (with Huaiqing Zuo), Pacific J. math., Vol. 260, No. 1 (2012), 245-255. Kohn-Rossi cohomology and its application to the plex plateau problem, III, (with Rong Du), J. Differential Geometry, Vol. 90 (2012), 251-266. Codes from infinitely near points (with Bruce M. Bent and Hing Sun Luk), Asian J. Mathematics, Vol. 16, No. 1 (2012), 89-101. New invariants for plex manifolds, singularities, and CR manifolds with applications (with Rong Du), Proceeding of ICCM 2010, AMS/IP Studies in Advanced Mathematics, Vol. 51 (2012), 431-445. New invariants for plex manifolds and isolated singularities (with Rong Du and Hing Sun Luk), Communications in Analysis and Geometry, Vol. 19, No. 5 (2011), 991-1021. Coordinate-free characterization of homogeneous polynomials with isolated singularities (with Irene Chen, Ke-Pao Lin, and Huaiqing Zuo), Communications in analysis and geometry, Vol. 19, No. 4 (2011), 661-704. Protein map: An alignment-free sequence parison method based on various properties of amino acids (with Chenglong Yu, ShiuYuen Cheng, Rong L. He), Gene, Vol. 486 (2011), 110-118. A novel clustering method via nucleotide-based Fourier power spectrum analysis (with Bo Zhao and Victor Duan), Journal of Theoretical Biology, Vol. 279 (2011), 83-89. A new distribution vector and its application in genome clustering (with Bo Zhao and Rong He), Molecular Phylogeics and Evolution, Vol. 59 (2011), 438-443.

学生培养情况

2011年6月-2016年3月，已指导本科毕业生16人，其中4人的毕业论文被国际SCI期刊录取，包括2014年发表在《Scientific Reports》的一篇论文。

1970.09 - 1973.07

香港中文大学数学系

本科

1973.09 - 1974.07

美国纽约州立大学石溪分校数学系

硕士

1974.08 - 1976.07

美国纽约州立大学石溪分校数学系

博士

指导的本科生(2011年至今):

1. 2012年，田昆，杨智宇，张鸣一(论文发表在《Asian Journal of Mathematics》)。

2. 2013年，孔琴，杨晓茜，陈颖(论文发表在《Journal of Theoretical Biology》)，王昊。

3. 2014年，毛伟光(论文发表在《Scientific Reports》)，贾酥，陈秀琼。

4. 2015年，董晟成，陈楚，赵鑫(论文发表在《Molecular Phylogeics and Evolution》)。

5. 2016年，汪嘉伟 ，张宇宁，诸子越，陈炳仪。

指导的硕士研究生(2011年至今)

1. 袁北彗 (2014)

2. 张鸣一 (2015)

3. 时骥 (2013-至今)

指导的博士研究生(2011年至今)

1. 田昆 (2012-至今)

2. 杨智宇 (2012-至今)

3. 陈秀琼 (2014-至今)

4. 李永坤 (2014-至今)

5. 赵鑫 (2015-至今)

6. 董睿 (2015-至今)

7. Naveed Hussain (2015-至今)

8. 陈炳仪 (预计2016秋季入学)

指导的博士研究生(已毕业)

1. 俞勇 (1988)

2. Craig Seeley (1988)

3. Yi-Jing Xu (1990)

4. 邱文龄 (1991)

5. 梁志华 (1993)

6. Tan Jiang (1993)

7. Li-Xing Jia (1994)

8. 陈杰 (1994)

9. Amid Rasoulian (1995)

10. Hon-Wing Cheng (1996)

11. 张庆龙 (1996)

12. Guo-Qing Hu (1997)

13. Zhi-Gang Liang (1998)

14. 林克葆 (1999)

15. Xi Wu (2000)

16. Zhe Li (2002)

17. 王学军 (2002)

18. Shao-Bo Wang (2002)

19. Junfeng Ding (2005)

20. 殷长传 (2005)

21. Libin iu (2005)

22. Dongchul Yoo (2005)

23. Jiuhong Tang (2005)

24. Dongmin Cai (2006)

25. Ling Zhou (2007)

26. Peng He (2007)

27. Chaoxiao Lu (2008)

28. 杜荣 (2009)

29. 藏卫田 (2009)

30. Qian Liang (2010)

31. 赵波 (2010)

32. 于成龙 (2010)

33. 邓默 (2011)

34. 叶飞(2011)

35. Eb Armah (2011)

36. 焦洋 (2012)

37. 左怀青 (2012)

38. Troy Antonio Hernandez (co-directed with Jie Yang) (2013)

39. 罗雪 (2013)

40. Hsin-Hsiung Bill Huang (co-directed with Jie Yang) (2014)

41. 郑辉(2015)

代表论文

Proc. Nat. Acad. Sci., U.S.A.:

1. Index theory for the boundaries of plex analytic varieties, Proc. Nat. Acad. Sci., U.S.A. , 77 (1980), 1248-1249. pdf

2. Criterion for biholomorphic equivalence of isolated hypersurface singularities, (with John N. Mather), Proc. Nat. Acad. Sci., U.S.A. 78 (1981), 5946-5947. pdf

3. Continuous family of finite-dimensional representations of a solvable Lie algebra arising from singularities, Proc. Nat. Acad. Sci., U.S.A. 80 (1983),7694-7696. pdf

Annals of Math.:

4. Kohn-Rossi cohomology and its application to the plex Plateau problem,I, Annals. of Math., 113 (1981) 67-110. pdf

5. Counterexample to boundary regularity of strongly pseudoconvex CR submanifold: An addendum to the paper of Harvey-Lawson (with H.S. Luk), Annals of Math., 148(1998), 1153-1154. pdf

Invent. Math.:

6. The Signature of Milnor Fibers and Duality Theorem for Strongly Pseudoconvex Manifolds, Invent. Math., 46(1978), 81-97. pdf

7. Classification of Isolated Hypersurface Singularities by Their ModuliAlgebras, (with John N. Mather), Invent. Math., 69 (1982), 243-251. pdf

8. Variation of plex structures and variation of Lie algebras, (with Craig Seeley), Invent. Math., 99 (1990), 545-565. pdf

Duke Math. J.:

9. Existence of L2-integrable holomorphic forms and lower estimates of T^1V, Duke Math. J. 48 (1981), 537-547. pdf

Math. Ann.:

10. Two theorems on higher dimensional singularities, Math. Ann. 231 (1977), 55 -59. pdf

11. Equivalence beeen isolated hypersurface singularities, (with Max Benson), Math. Ann. 287 (1990), 107-134. pdf

12. Algebraic determination of isomorphism classes of the moduli algebras of ~E6 singularities (with Hao Chen, and Craig Seeley), Math. Ann. 318, (2000), 637-666. pdf

Ann. Sci. Ecole Norm. Sup.:

13. Holomorphic symmetry, (with Blaine Lawson), Ann. Sci. Ecole Norm. Sup. 4e series, t. 20(1987), 557-577. pdf

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze:

14. An estimate of the gap of the first o eigen-values in the Schrodinger operator,(with I.M. Singer, Bun Wong and Shing-Tung Yau), Ann. Scuola Norm. Sup., Pisa, Classe di Scienze, Serie IV, Vol. XII, N.2 (1985), 319-333. pdf

15. Intersection lattices and the ological structures of plements of arrangements in CP^2 (with Tan Jiang), Ann. Scuola Norm. Sup. Pisa Cl.Sci (4), Vol. XXVI, (1998), 357-381. pdf

Journal of European Mathematical Society:

16. Rigidity of CR morphisms beeen pact strongly pseudoconvex CR manifolds, Journal of European Mathematical Society, Vol 13,(2011),175-184. pdf

17. On number theoretic conjecture of positive integral points in 5-dimensional tetrahedron and a sharp estimation of Dickman-De Bruijn function (with Ke-Pao Lin, Xue Luo, and Huaiqing Zuo), 33pp. (to appear) Journal of European Mathematical Society (2013). pdf

J. Differential Geometry:

18. Durfee conjecture and coordinate free characterization of homogeneous singularities, (with Yi- Jing Xu), Journal of Differential Geometry 37 (1993), 375-396. pdf

19. Moduli and Modular groups of a class of Calabi-Yau n-dimensional manifolds, n>=3 (with Hao Chen), Journal of Differential Geometry, 54(2001), 1-12. pdf

20. Holomorphic De-Rham cohomology of strongly pseudoconvex CR manifolds with holomorphic S1-action (with Hing Sun Luk), Journal of Differential Geometry, 63(2003), 155-170. pdf

21. On a CR family of pact strongly pseudoconvex CR manifolds, (with X. Huang, H.S. Luk), Journal of Differential Geometry, Vol. 72, No.3, (2006), 353-379. pdf

22. Kohn-Rossi cohomology and its application to the plex plateau problem II (with H.S. Luk), Journal of Differential Geometry, Vol. 77, No. 1 (2007), 135-148. pdf

23. Higher order Bergman functions and explicit construction of moduli space for plete Reinhardt domains (with Rong DU), Journal of Differential Geometry, 82 (2009), 567-610. pdf

24. Kohn-Rossi cohomology and its application to the plex plateau problem, III, (with Rong Du), J. Differential Geometry, Vol. 90, (2012), 251-266. pdf

Amer. J. Math.:

25. Hypersurface weighted dual graphs of normal singularities of surfaces, Amer. J. Math. 101 (1979), 761-812. pdf

26. Gorenstein singularities with geometric genus equal to o, Amer. J. Math. 101 (1979), 813-854. pdf

27. On strongly elliptic singularities, Amer. J. Math. 101 (1979), 855-884. pdf

28. S_n^1 invariant for isolated n-dimensional singularities and its application to moduli problems, Amer. J. Math. 104 (1982), 829-841. pdf

29. Various numerical invariants for isolated singularities, Amer. J. Math. 104 (1982), 1063-1100. pdf

30. Singularities defined by sl(2,C)invariant polynomials and solvability of Lie algebras arising from isolated singularities, Amer. J. Math. 108 (1986), 1215-1240. pdf

31. The multiplicity of isolated o-dimensional hypersurface singularities:Zariski problem, Amer. J. Math. 111 (1989), 753-767. pdf

32. A remark on moduli of plex hypersurface, Amer. J. Math., 113 (1990), 287-292. pdf

33. Solvability of the Lie algebras arising from singularities and non-isolatedness of the singularities defined by the invariant polynomials of sl(2,C), Amer. J. Math. 113 (1991), 773-778. pdf

34. Classification of gradient space as sl(2,C)-module I (with J. Sampson and Yung Yu), Amer. J. Math.114 (1992), 1147-1161. pdf

35. Some remarks on the local moduli of tangent bundles over plex surfaces (with W.S. Cheung and B. Wong), Amer. J. Math., 125 (2003), 1029-1035. pdf

Trans. Amer. Math. Soc.:

36. Normal o-dimensional elliptic singularities, Trans. Amer. Math. Soc. 254 (1979), 117-134. pdf

37. On maximally elliptic singularities, Trans. Amer. Math. Soc. 257 (1980), 269-329. pdf

Math. Res. Lett.:

38. An upper estimate of integral points in real simplices with application in singularity theory (with Letian Zhang), Math. Research Letter, Vol 13, No. 6, (2006), 911-922. pdf