丘成棟
清華大學教授
丘成棟教授在數學、應用數學與控制論、計算機科學、金融數學、生物信息等國際前沿研究領域取得了大量原始創新成果，先後發表兩百多篇學術論文，其中包括《PNAS》、《Ann. of Math.》、《Invent. Math.》等等這樣的國際頂尖數學刊物。他解決了復幾何和奇點理論中的一些國際著名的猜想。是第一個成功地將李代數用來研究代數幾何中的超曲面奇點，如今這個代數被同行稱為Yau 代數。丘成棟教授及他的合作者還解決了非線性濾波理論中的一個中心的問題（解決了Mitter猜想），完全解決了非線性濾波器的理論問題，這對現代工業，包括國防工業將會有深遠的影響。在生物信息方面，他在DNA及蛋白質2維表示法方面的成果發表在世界頂尖雜誌《Nuclei Acid Research 》上。最近，他開創了natural vector方法來表示基因組和“蛋白質”。
丘成棟
1977.09-1980.08，任美國哈佛大學數學系助理教授。
1980-84年，任伊利諾伊大學芝加哥分校數學、統計和計算機科學系副教授。
1981.09-1982.08，任美國普林斯頓高等研究院成員。
1984.08-2005.08，任伊利諾伊大學芝加哥分校數學、統計和計算機科學系教授。
1989.08-1990.07，任美國約翰。霍普金斯大學訪問教授。
2002.09-2011.05，任華東師範大學數學研究所所長（兼職）。
2005.09-2011.05，任美國伊利諾伊大學芝加哥分校傑出教授。
2011.06，到清華大學數學科學系工作。
開創了natural vector方法來表示基因組和蛋白質。如果兩個基因組或蛋白質從生物意義上互相接近，那麼它們的natural vector具有很近的距離。因此，natural vector方法不僅對基因組和蛋白質提供了快速、唯一的表示，而且成為有力的聚類和預測工具。基於natural vector方法，丘教授計劃構造一個基因組資料庫和一個蛋白質資料庫。與當前的基因組或蛋白質資料庫不同，他構造的新的資料庫將支持對所有已知的基因組和蛋白質進行同時的比較研究。公共蛋白質資料庫記錄了當前有超過八百萬的蛋白質存在。在如今的方法中，只有natural vector方法可以完成同時比較這個“不可能的任務”。丘教授計劃在清華大學組建一個團隊來開展這個科研項目。
研究領域
主要研究方向：
代數幾何、奇點理論；復幾何；非線性濾波理論；生物信息學。
其他研究方向：
研究概況
主要科研項目：
國家自然科學基金：復解析簇的局部和整體問題研究，項目編號：11531007，執行年限：2016.01-2020.12，總經費：276萬，項目負責人。
國家自然科學基金：關於有限維非線性濾波分類和多項式濾波問題的研究，項目編號：11471184，執行年限：2015.01-2018.12，總經費：80萬，項目負責人。
教育部：海洋微生物基因組分類與進化的幾何演演算法研究，執行年限：2014.01-2016.12，總經費：70萬，項目負責人。
國家自然科學基金：病毒基因空間幾何演演算法研究和對新病毒威脅快速探測及預警，項目編號：31271408，執行年限：2013.01-2016.12，總經費：60萬，項目負責人。
學術成果
截止2016年3月，已發表論文324篇。其中以清華大學為通訊單位發表的論文有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 Phylogenetics 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 Phylogenetics 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 compact 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 between compact 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 complex Plateau problem (with Rong Du and Yun Gao), Mathematische Zeitschrift, Vol. 282(2016), 389-403.
Interplay between 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-complete 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 comparison 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 phylogenetic 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 compact 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 comparison 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 Phylogenetics and Evolution, Vol. 81 (2014), 29-36.
K-mer sparse matrix model for genetic sequence and its applications in sequence comparison (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 between 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 phylogenetic analysis of genetic 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 complexity 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 comparison based on K-string dictionary (with Chenglong Yu and Rong L. He), Gene, Vol. 529 (2013), 250-256.
Nonconstant CR morphisms between compact strongly pseudoconvex CR manifolds and étale convering between 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 complete 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 networks with low data rate inter sensor communication (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 complex plateau problem, III, (with Rong Du), J. Differential Geometry, Vol. 90 (2012), 251-266.
Codes from infinitely near points (with Bruce M. Bennett and Hing Sun Luk), Asian J. Mathematics, Vol. 16, No. 1 (2012), 89-101.
New invariants for complex 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 complex 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 comparison 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 Phylogenetics and Evolution, Vol. 59 (2011), 438-443.
1.Virus classification in 60-dimensional protein space (with Yongkun Li, Kun Tian, Changchuan Yin and Rong Lucy He), (to appear), Molecular Phylogenetics and Evolution, 2016.
2.A New Method for Studying the Evolutionary Origin of the SAR11 Clade Marine Bacteria (with Xin Zhao and Rong Lucy He), (to appear), Molecular Phylogenetics and Evolution, 2016.
3.Derivations of the moduli algebras of weighted homogeneous hypersurface singularities (with Huaiqing Zuo), (to appear), Journal of Algebra, 2016.
4.Thom-Sebastiani properties of Kohn-Rossi cohomology of compact connected strongly pseudoconvex CR manifolds (with Huaiqing Zuo), (to appear), SCIENCE CHINA Mathematics, 2016.
5.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.
6.Recent results on rigidity of CR morphisms between compact strongly pseudoconvex CR manifolds (with Huaiqing Zuo), (to appear), Proceedings of ICCM2013, 2016.
7.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.
8.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.
9.On higher dimensional complex Plateau problem (with Rong Du and Yun Gao), Mathematische Zeitschrift, Vol. 282(2016), 389-403.
10.Interplay between 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.
11.On the quenching behavior of the mems with fringing field (with Xue Luo), Quarterly of Applied Mathematics, Vol. 73, No. 4 (2015), 629-659.
12.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.
13.Topological Classification of Simplest Gorenstein Non-complete Intersection Singularities of Dimension 2 (with Mingyi Zhang and Huaiqing Zuo), Asian Journal of Mathematics, Vol. 19, No. 4 (2015), 651-792.
14.A Novel Suboptimal Method for Solving Polynomial Filtering Problems (with Xue Luo, Yang Jiao and Wen-Lin Chiou), Automatica, Vol. 62 (2015), 26-31.
15.Two dimensional Yau-Hausdorff distance with applications on comparison 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.
16.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.
17.An improved model for whole genome phylogenetic analysis by Fourier transform (with Changchuan Yin), Journal of Theoretical Biology, Vol. 382 (2015), 99-110.
18.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.
19.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.
20.Plurigenera of compact connected strongly pseudoconvex CR manifolds (with Ke-Pao Lin and Huaiqing Zuo), Science China Mathematics, Vol. 58, No. 3 (2015), 525-530.
21.Distinguishing Proteins From Arbitrary Amino Acid Sequences (with Wei-Guang Mao, Max Benson, and Rong Lucy He), Scientific Reports,Vol. 5 (2015), 1-8.
22.Complete characterization of isolated homogeneous hypersurface singularities (with Huaiqing Zuo), Pacific Journal of Mathematics, Vol. 273, No. 1 (2015), 213-224.
23.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.
24.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.
25.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.
26.Global comparison 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 Phylogenetics and Evolution, Vol. 81 (2014), 29-36.
27.K-mer sparse matrix model for genetic sequence and its applications in sequence comparison (with Jia Wen and YuYan Zhang), Journal of Theoretical Biology, Vol. 363 (2014), 145-150.
28.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.
29.DFA7, A New Method to Distinguish between 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.
30.K-mer natural vector and its application to the phylogenetic analysis of genetic sequences (with Wen Jia, Raymond H.F. Chan, Shek-Chung Yau, Rong L. He), Gene, Vol. 546, No. 1 (2014), 25-34.
31.Viral genome phylogeny based on Lempel-Ziv complexity and Hausdorff distance (with Chenglong Yu, Rong Lucy He), Journal of Theoretical Biology, Vol. 348 (2014), 12-20.
32.On variance of exponents for isolated surface singularities with modality ≤ 2 (with Huaiqing Zuo), Science China Mathematics, Vol. 57, No. 1 (2014), 31-41.
33.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.
34.
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.
35.Several splitting criteria for vector bundles and reflexive sheaves (with Fei Ye), Pacific Journal of Mathematics, Vol. 266, No. 2 (2013), 449-456.
36.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.
37.Protein sequence comparison based on K-string dictionary (with Chenglong Yu and Rong L. He), Gene, Vol. 529 (2013), 250-256.
38.Nonconstant CR morphisms between compact strongly pseudoconvex CR manifolds and étale convering between resolutions of isolated singularities (with Yu-Chao Tu and Huaiqing Zuo), J. Differential Geometry, Vol. 95 (2013), 337-354.
39.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.
40.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.
41.Characterization of isolated complete 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.
42.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.
43.Sharp polynomial estimate of integral points in right-angled simplices (with Linda Zhao), Journal of Number Theory, Vol. 133, No. 2 (2013), 398-425.
44.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.
45.
Decentralized detection in ad hoc sensor networks with low data rate inter sensor communication (with Lu Zheng, Yingwei Yao, Mo Deng), IEEE Transactions on Information Theory, Vol. 58, No. 5 (2012), 3215-3224.
46.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.
47.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.
48.Kohn-Rossi cohomology and its application to the complex plateau problem, III, (with Rong Du), J. Differential Geometry, Vol. 90 (2012), 251-266.
49.Codes from infinitely near points (with Bruce M. Bennett and Hing Sun Luk), Asian J. Mathematics, Vol. 16, No. 1 (2012), 89-101.
50.New invariants for complex 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.
51.New invariants for complex manifolds and isolated singularities (with Rong Du and Hing Sun Luk), Communications in Analysis and Geometry, Vol. 19, No. 5 (2011), 991-1021.
52.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.
53.Protein map: An alignment-free sequence comparison method based on various properties of amino acids (with Chenglong Yu, ShiuYuen Cheng, Rong L. He), Gene, Vol. 486 (2011), 110-118.
54.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.
55.A new distribution vector and its application in genome clustering (with Bo Zhao and Rong He), Molecular Phylogenetics and Evolution, Vol. 59 (2011), 438-443.
代表論文
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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 compact 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 complex 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 complete Reinhardt domains (with Rong DU), Journal of Differential Geometry, 82 (2009), 567-610. pdf
24.Kohn-Rossi cohomology and its application to the complex 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 two, 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 two-dimensional hypersurface singularities:Zariski problem, Amer. J. Math. 111 (1989), 753-767. pdf
32.A remark on moduli of complex 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 complex surfaces (with W.S. Cheung and B. Wong), Amer. J. Math., 125 (2003), 1029-1035. pdf
Trans. Amer. Math. Soc.:
36.Normal two-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
| 1992.01-至今 | 《Journal of Algebraic Geometry》 | 創刊編委、首席編委 |
| 2001.01-至今 | 《Communications in Information and Systems》 | 主編 |
| 時間 | 獲得獎項 | 頒獎機構 |
| 2013年1月 | 美國數學學會Fellow | |
| 2005年5月 | 傑出教授 | 美國伊利諾伊大學 |
| 2003年1月 | 電氣電子工程師學會Fellow | |
| 2000年9月 | 約翰。西蒙。古根海姆獎 | |
| 1980年4月 | 艾爾弗雷德.P.斯隆獎 |
基本信息
- 中文名
- 丘成棟
- 外文名
- Stephen Yau
- 國籍
- 性別
- 男
- 出生地
- 香港
- 出生日期
- 1952
- 籍貫
- 廣東省梅州市蕉嶺縣
- 最高學歷
- 博士研究生
- 任職機構
- 清華大學
- 職稱
- 教授
- 專業
- 代數幾何、奇點理論；復幾何；非線性濾波理論；生物信息學
- 職務
- 美國伊利諾伊大學芝加哥分校數學、統計和計算機科學系特聘教授