KLMM


The Key Laboratory of Mathematics-Mechanization (KLMM) is a research group within the Academy of Mathematics and System Sciences (AMSS) in the Chinese Academy of Sciences (CAS),  Beijing, China. 

The founder is Professor Wen-Tsun Wu.
The director is Professor Xiao-Shan Gao

The Key Laboratory of Mathematics-Mechanization  has as its primary goal the research and development of theory, algorithms and software for automated reasoning, cryptographic and coding theory, differential and difference equations in mathematics physics, geometric constraint-solving, polynomial equation-solving,
symbolic computation and hybrid symbolic-numeric computation.

 

Prof. Wen-Tsun Wu is awarded the 2006 Shaw Prize in Mathematical Sciences, called the Nobel Prizes of the East.


Main Areas of Interest


Some of the key laboratory main research interests include:

  • Automated theorem-proving in elementary and differential geometry

  • Clifford algebra and geometric algebra

  • Computer-aided geometric design

  • Finding closed-form solutions for ordinary and partial differential (difference) 
        equations

  • Manipulation of analytic objects by computer algebra methods

  • Solving polynomial equations by exact methods (e.g. the the Ritt-Wu method,
        Groebner bases, resultants, etc)


  • Solving polynomial equations by hybrid symbolic-numeric methods (e.g. structured 
        matrices, approximate factorization)

  • Theoretical and algorithmic research in cryptographic and coding theory



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