Tan Lei in Oberwolfach, 2008
March 18, 1963|
|Died||April 1, 2016(aged 53)|
Wuhan University (BA)|
University of Paris-Sud, Orsay (MA)
University of Paris-Sud, Orsay (PhD)
|Spouse(s)||Hans Henrik Rugh|
|Thesis||Accouplements des polynômes quadratiques complexes (1986)|
|Doctoral advisor||Adrien Douady|
Tan Lei (Chinese: 谭蕾) 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.
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.
Tan obtained important results about the Julia and Mandelbrot sets, in particular investing their fractality and the similartities between the two.[pub 1] For example she showed that at the Misiurewicz points these sets are asymptotically similar through scaling and rotation.[pub 2] She constructed examples of polynomials whose Julia sets are homeomorphic to the Sierpinski gasket[pub 3] and which are disconnected.[pub 4] She contributed to other areas of complex dynamics.[pub 5][pub 6] She also wrote some surveys and popularisation work around her research topics.[pub 7][pub 8]
- Tan, Lei (1986). Accouplements des polynômes quadratiques complexes. Comptes Rendus de l'Académie des Sciences (PhD). 302. Paris.
- Tan, Lei, ed. (2000). The Mandelbrot Set, Theme and Variations. London Mathematical Society Lecture Note Series. 274. Cambridge: Cambridge University Press. ISBN 9780521774765.
- 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.
- Similarity between the Mandelbrot set and Julia Sets, Communications in Mathematical Physics 134 (1990), pp. 587-617.
- 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
- With K. Pilgrim: Rational maps with disconnected Julia set, Astérisque, volume 261, 2000, pp. 349-384
- With G.-Zh. Cui: A characterization of hyperbolic rational maps, Invent. math., Band 183, 2011, S. 451-516.
- 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.
- With Xavier Buff and G.-Zh. Cui: Teichmüller spaces and holomorphic dynamics, in: Athanase Papadopoulos (ed.), Handbook of Teichmüller Theory, Volume 4, EMS 2014
- With Arnaud Chéritat: Si nous faisons danser les racines? Un hommage à Bill Thurston , Images des mathématiques CNRS, 7 Nov. 2012
- Chéritat, Arnaud. "Tan Lei and Shishikura's example of non-mateable degree 3 polynomials without a Levy cycle". Annales de la Faculté des sciences de Toulouse. Mathématiques. 21 (S5): 935–980. arXiv: . doi:10.5802/afst.1358.
- Yang Fei (2016). "Memory Diapos (pdf file in Chinese)". Département de Mathématiques d'Orsay. Retrieved 5 May 2017.
- Hans Henrik Rugh. "Memory Conference for Tan Lei Held in Beijing May 9–10, 2016". Département de Mathématiques d'Orsay (in French). Retrieved 5 May 2017.