Tan Lei Explained

Tan Lei
谭蕾
Birth Date:18 March 1963
Birth Place:Pingxiang, Jiangxi, China
Nationality:Chinese
Fields:Mathematics
Thesis Title:Accouplements des polynômes quadratiques complexes
Thesis Year:1986
Doctoral Advisor:Adrien Douady
Spouse:Hans Henrik Rugh
Children:2

Tan Lei (; 18 March 1963 – 1 April 2016) was a mathematician specialising in complex dynamics and functions of complex numbers. She is most well-known for her contributions to the study of the Mandelbrot set and Julia set.[1]

Career

After gaining her PhD in Mathematics in 1986 at University of Paris-Sud, Orsay, Tan worked as an assistant researcher in Geneva. She then conducted postdoctoral projects at the Max Planck Institute for Mathematics and University of Bremen until 1989, when she was made a lecturer at Ecole Normale Superieure de Lyon in France. Tan held a research position at University of Warwick from 1995 to 1999, before becoming a senior lecturer at Cergy-Pontoise University. She was made professor at University of Angers in 2009.[2]

Mathematical work

Tan obtained important results about the Julia and Mandelbrot sets, in particular investigating their fractality and the similarities between the two.[3] For example she showed that at the Misiurewicz points these sets are asymptotically similar through scaling and rotation.[4] She constructed examples of polynomials whose Julia sets are homeomorphic to the Sierpiński carpet[5] and which are disconnected.[6] She contributed to other areas of complex dynamics.[7] [8] She also wrote some surveys and popularisation work around her research topics.[9] [10]

Legacy

A conference in Tan's memory was held in Beijing, China, in May 2016.[11]

Publications

Thesis

Books

Articles

Notes and References

  1. Tan Lei and Shishikura's example of non-mateable degree 3 polynomials without a Levy cycle . Chéritat . Arnaud . Annales de la Faculté des Sciences de Toulouse . 21 . S5 . 935–980 . Mathématiques . 10.5802/afst.1358. 1202.4188 . 2012 . 119317579 .
  2. Web site: Memory Diapos (pdf file in Chinese) . Yang Fei . 2016 . Département de Mathématiques d'Orsay . 5 May 2017.
  3. Local properties of The Mandelbrot set M, Similarity between M and Julia sets, Proceedings of the seventh European Women in Mathematics (EWM) meeting, Madrid, 1995, S. 71-82.
  4. Similarity between the Mandelbrot set and Julia Sets, Communications in Mathematical Physics 134 (1990), pp. 587-617.
  5. A Sierpinski carpet as Julia set, Appendix to: J. Milnor, Geometry and dynamics of quadratic rational maps, Exp. Math., volume 2, 1993, pp. 78-81
  6. With K. Pilgrim: Rational maps with disconnected Julia set, Astérisque, volume 261, 2000, pp. 349-384
  7. With G.-Zh. Cui: A characterization of hyperbolic rational maps, Invent. math., Band 183, 2011, S. 451-516.
  8. With Xavier Buff: The quadratic dynatomic curves are smooth and irreducible, in: Araceli Bonifant, Misha Lyubich, Scott Sutherland (eds.), Frontiers in Complex Dynamics: In Celebration of John Milnor's 80th Birthday, Princeton University Press, 2014, S. 49-72.
  9. With Xavier Buff and G.-Zh. Cui: Teichmüller spaces and holomorphic dynamics, in: Athanase Papadopoulos (ed.), Handbook of Teichmüller Theory, Volume 4, EMS 2014
  10. With Arnaud Chéritat: Si nous faisons danser les racines? Un hommage à Bill Thurston, Images des mathématiques CNRS, 7 Nov. 2012
  11. Web site: Memory Conference for Tan Lei Held in Beijing May 9–10, 2016 . Hans Henrik Rugh . Département de Mathématiques d'Orsay . French . 5 May 2017.

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Tan Lei".

Except where otherwise indicated, Everything.Explained.Today is © Copyright 2009-2024, A B Cryer, All Rights Reserved. Cookie policy.