Prof. Felipe Cucker
 

PhD: Université de Rennes, France, 1986
          Universidad de Cantabria, Spain, 1986
          (Premio extraordinario de doctorado).

Professional Address :
Department of Mathematics
City University of Hong Kong
83 Tat Chee Avenue
Kowloon Tong
Hong Kong

Office :
Room Y6515, Academic Building

email: macucker@math.cityu.edu.hk
Telephone: (852) 2784 4208
Fax: (852) 2788 8561


Research Interest

It evolved from real algebra and geometry (in both theoretical and computational aspects) to complexity theory. Between 1983 and 1986 it dealt with the properties of rings of Nash functions over algebraic varieties. From 1987 to 1990 the focus of the research was on the algorithmic side of real algebraic geometry, i.e., the design and analysis of algorithms for problems in this field. From 1990, it deals with the structural approach to the complexity of these problems following the Blum, Shub & Smale model. In the last few years it evolved to include the numerical analysis of some algorithms in optimization. Very recently, it has also included areas such as learning theory and problems like the mathematical modelling of human language evolution.
 

Professional Responsibilities

• Member of the Editorial Board of the journals Theoretical Computer Science and Journal of Complexity.
   

• Member of the Advisory Board of the Journal of Foundations on Computational Mathematics.
   

• Managing Editor of the book series Library of Computational Mathematics published by Cambridge University Press.
   

• Member of the board of directors of FoCM (Society for the Foundations of Computational Mathematics) since its creation in 1995.

          (i) From January 1997 to July 1999, secretary.
          (ii) From August 1999 to July 2002, person-in-charge of Publications.
          (iii) At present, person-in-charge of Conferences.

Books 

1. Complexity and Real Computation (with L. Blum, M. Shub and S. Smale). Springer-Verlag, New York, 1998.
   From the review in Mathematical Reviews
    

2. Curso de Programación (with J. Castro, X. Messeguer, A. Rubio, Ll. Solano and B. Valles). McGraw-Hill, Madrid, 1993.