菜单总览
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丘成桐

职位:

杰出教授、1982费尔兹奖获得者、美国科学院院士

教育背景:

博士(美国加州大学伯克利分校)

学士(香港中文大学)

研究领域
微分方程;数学物理
Email

yau@ims.cuhk.edu.hk

个人简介:


丘成桐,国际知名数学家,亦是第一位获得菲尔兹奖的华人数学家。1966年考入香港中文大学数学系,1969年获推荐留学于美国加州大学伯克利分校,1971年(22岁)获博士学位。同年开始先后在普林斯顿高等研究院、纽约州立大学及斯坦福大学任教,为讲座教授。1987年起任美国哈佛大学讲座教授至今,1993年被选为美国科学院院士,1994年成为台湾中央研究院院士。并分别于1994年及2003年始出任香港中文大学数学科学研究所所长及香港中文大学博文讲座教授至今。此外,他于2013年起任哈佛大学物理系教授。他对微分几何学做出了极为重要的贡献。1976年,证明了卡拉比猜想(Calabi Conjecture)与爱因斯坦方程中的正质量猜想(Positive Mass Conjecture),并对微分几何和微分方程进行重要融合,解决问题,其影响直至今天。其后,继续在几何、拓扑学、物理学上做出许多成就。

1982年,丘成桐教授荣获国际数学界最高荣誉的菲尔兹奖 (Fields Medal),即相当于数学界的诺贝尔奖。在悠悠四十载钻研数学的事业生涯中,丘成桐教授获得诸多荣誉,除了1982年的菲尔兹奖,还包括维布伦几何奖(1981)、麦克阿瑟基金奖(1985)、克拉福德奖(1994)和美国国家科学奖(1997)等。2010年,丘成桐教授荣获沃尔夫数学奖,以表扬他毕生对几何分析的贡献以及在几何和物理等领域的深远影响。


学术著作:


Selected Publications:

1. Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung Mirror principle. IV. Surveys in differential geometry, 475--496, Surv. Differ. Geom., VII, International Press, Somerville, MA, 2000.

2. Surveys in differential geometry. Papers dedicated to Atiyah, Bott, Hirzebruch, and Singer. Edited by S.-T. Yau. Surveys in Differential Geometry, VII. International Press, Somerville, MA, 2000. iv+696 pp. ISBN: 1-57146-069-1

3. Finster, Felix; Smoller, Joel; Yau, Shing-Tung Absence of static, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills equations with complete fermion shells. Adv. Theor. Math. Phys. 4 (2000), no. 6, 1231--1257.

4. Yau, Shing-Tung; Yau, Stephen S.-T. Real-time numerical solution to Duncan-Mortensen-Zakai equation. Foundations of computational mathematics (Oxford, 1999), 361--400, London Math. Soc. Lecture Note Ser., 284, Cambridge Univ. Press, Cambridge, 2001.

5. Leung, Naichung Conan; Yau, Shing-Tung; Zaslow, Eric From special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai transform. Adv. Theor. Math. Phys. 4 (2000), no. 6, 1319--1341.

6. Lian, Bong H.; Yau, Shing-Tung A tour of mirror symmetry. First International Congress of Chinese Mathematicians (Beijing, 1998), 115--127, AMS/IP Stud. Adv. Math., 20, Amer. Math. Soc., Providence, RI, 2001.

7. Chen, Beifang; Yau, Shing-Tung; Yeh, Yeong-Nan Graph homotopy and Graham homotopy. Selected papers in honor of Helge Tverberg. Discrete Math. 241 (2001), no. 1-3, 153--170.

8. Current developments in mathematics 2000. Edited by B. Mazur, W. Schmid, S. T. Yau, J. de Jong, D. Jerison and G. Lustig. International Press, Somerville, MA, 2001. iv+253 pp. ISBN: 1-57146-079-9

9. Leung, Naichung Conan; Yau, Shing-Tung; Zaslow, Eric From special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai transform. Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds (Cambridge, MA, 1999), 209--225, AMS/IP Stud. Adv. Math., 23, Amer. Math. Soc., Providence, RI, 2001.

10. Yau, Shing-Tung; Zhang, Wen Nonlinear and linear elastic impact theory. Cathleen Morawetz: a great mathematician. Methods Appl. Anal. 7 (2000), no. 3, 591--604.

11. Chung, Fan; Grigor\cprime yan, Alexander; Yau, Shing-Tung Higher eigenvalues and isoperimetric inequalities on Riemannian manifolds and graphs. Comm. Anal. Geom. 8 (2000), no. 5, 969--1026.

12. Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung Mirror principle. III. Asian J. Math. 3 (1999), no. 4, 771--800.

13. Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds. Proceedings of the school held at Harvard University, Cambridge, MA, January 1999. Edited by Cumrun Vafa and S.-T. Yau. AMS/IP Studies in Advanced Mathematics, 23. American Mathematical Society, Providence, RI; International Press, Somerville, MA, 2001. x+377 pp. ISBN: 0-8218-2159-8

14. Lian, Bong H.; Yau, Shing-Tung Differential equations from mirror symmetry. Surveys in differential geometry: differential geometry inspired by string theory, 510--526, Surv. Differ. Geom., 5, Int. Press, Boston, MA, 1999.

15. Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung Mirror principle, a survey. Current developments in mathematics, 1998 (Cambridge, MA), 35--82, Int. Press, Somerville, MA, 1999.

16. Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung Erratum: "Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry". Comm. Pure Appl. Math. 53 (2000), no. 9, 1201.

17. Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry. Comm. Pure Appl. Math. 53 (2000), no. 7, 902--929.

18. Finster, Felix; Smoller, Joel; Yau, Shing-Tung The interaction of Dirac particles with non-abelian gauge fields and gravity---bound states. Nuclear Phys. B 584 (2000), no. 1-2, 387--414.

19. Yau, S.-T. Review of geometry and analysis. Kodaira's issue. Asian J. Math. 4 (2000), no. 1, 235--278.

20. Chiang, T.-M.; Klemm, A.; Yau, S.-T.; Zaslow, E. Local mirror symmetry: calculations and interpretations. Adv. Theor. Math. Phys. 3 (1999), no. 3, 495--565.