Xavier Dahan

日本語

Assistant professor, Global COE project "Math-for-Industry".
Faculty of Mathematics, Kyûshû university.

744 Motooka, Nishi-ku
819-0395 Fukuoka, Japan
Tel/Fax: +81 (0)92 802 4482
E-mail : dahan A math P kyushu-u P ac P jp (replace: A by @, and P by dot)

      

       Teaching:

21年度、後期。 数学特論II. Computational algebra through Groebner bases
22年度、前期。数学特論I. Algorithms for polynomial systems: elimination and Groebner basis

       Preprints:

  1. Arbitrary degree regular graphs of large girth arXiv:1110.5259

       Publications:
               

  1. Bit-size estimates for triangular sets in positive dimension , with A. Kadri and É. Schost arXiv:1008.3459. To appear in Journal of Complexity.

  2. Size of coefficients of lexicographical Gröbner bases, In Proceedings of ISSAC'09, Seoul, Korea. ACM Press.


  3. Evaluation properties of invariant polynomials with É. Schost and J.M. Wu. Journal of Symbolic Computation, Vol. 44(11):1592--1604

  4. Change of order for regular chains in positive dimension. with X. Jin, M. Moreno-Maza, and É. Schost. Theoretical Computer Science, Vol. 392(1-3):37--65, February 2008.

  5. On the complexity of the D5 Principle with M. Moreno-Maza, É. Schost and Y. Xie. Proceedings of Transgressive Computing conference, Granada, Spain, 2006.

  6. Lifting techniques for triangular decompositions  , with E. Schost, M. Moreno Maza, W. Wu and Y. Xie., in Proceedings of ISSAC'05, Beijing, China. ACM Press.
                              Distinguished student authors award
  7. Sharp estimates for triangular sets  , with E. Schost, in Proceedings of ISSAC'04, Santander, Spain. ACM Press.
                              ISSAC'04 Distinguished paper award

       Others:

  1. Ph.D thesis On the representation of polynomial systems: triangulation, modular methods, dynamic evaluation, defended on November the 24th, 2006. Prepared at the École Polytechnique, France, under the supervision of Éric Schost.

  2. On bit-size estimates of triangular systems (RIMS講究録。「数式処理研究の新たな発展」 7-9 July 2010)