| Research Interests: Computer Algebra,
Differential and Difference
Algebras |
Education:
- 02/92-04/96: Ph.D., RISC-Linz, University of
Linz, Austria
(dissertation.ps)
- 09/85-07/88: M. Sc., Mathematics,
Institute of Systems Science, Academia Sinica, China
- 09/80-07/85: B. Sc., Applied Mathematics,
Tsinghua
University, Beijing, China
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Positions:
- 04/05-present: Professor,
AMSS,
Academia Sinica, Beijing, China
- 12/99-03/05: Associate Professor,
AMSS,
Academia Sinica, Beijing, China
- 11/01-02/04: Research Associate, SCG, School of Computer Science, Univ. of Waterloo,
Canada
- 09/97-12/99: Post-Doctoral Fellow,
Institut SCAI , GMD, St. Augustin, Germany
- 06/96-08/97: Associate Professor, Institute
of Systems Science, Academia Sinica, Beijing, China
- 09/88-01/92: Assistant Professor,
Department
of Applied Mathematics, Tsinghua University, Beijing, China
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Selected Publications:
- A recursive method for determining the one-dimensional submodules of Laurent-Ore modules
(with M.F. Singer, M. Wu and D. Zheng). In Proceedings of the 2006
International Symposium on Symbolic and Algebraic
Computation, pages 220-227, ACM Press, 2006.
- Univariate
Ore polynomial rings in computer algebra (with S. Abramov
and H. Le). Journal of Mathematical Sciences, 131(5),
5885-5903, 2005.
- Picard-Vessiot extensions
for linear functional systems (with M. Bronstein and M. Wu). In Proceedings of the 2005
International Symposium on Symbolic and Algebraic
Computation, pages 68-75, ACM Press, 2005.
- Differential rational normal forms and a reduction algorithm
for hyperexponential functions (with K. Geddes and H. Le). In Proceedings of the
2004
International Symposium on Symbolic and Algebraic
Computation, pages 183-190, ACM Press, 2004
- Hyperexponential solutions of finite-rank ideals in orthogonal
Ore rings
(with G. Labahn). In Proceedings of the 2004
International Symposium on Symbolic and Algebraic
Computation, pages 213-220, ACM Press, 2004
- Factoring systems of linear PDEs with finite-dimensional solution spaces
(with F. Schwarz and S. Tsarev). Journnal of Symbolic
Computation. 36(3-4), pages 443-471, 2003.
- Factoring zero-dimensional ideals of linear partial differential operators
(with F. Schwarz and S. Tsarev). In Proceedings of the 2002
International Symposium on Symbolic and Algebraic
Computation, pages 168-175, ACM Press, 2002
- Rational solutions of
Riccati-like partial differential equations
(with F. Schwarz). Journal of Symbolic Computation, 31(6): 691-716,
2001.
- A subresultant theory for Ore polynomials with applications. In Proceedings of the
1998 International Symposium on Symbolic and Algebraic
Computation, pages 132-139, ACM Press, 1998.
- A modular algorithm for computing greatest common right
divisors of Ore polynomials (with I. Nemes). In Proceedings of the
1997
International Symposium on Symbolic and Algebraic
Computation, pages 282-289, ACM Press, 1997.
- Finding roots of unity
among quotients of the roots of an integral polynomial (with
K. Yokoyama and I. Nemes). In Proceedings of the 1995
International Symposium on Symbolic and Algebraic
Computation, pages 85-89, ACM Press, 1995.
- Mechanical
theorem proving of the local theory of surfaces. Annals of
Artificial Intelligence, 13, 25-46, 1995.
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