- Ph.D. 美國賓夕法尼亞州立大學 1990
- B.S. 輔仁大學 1974
- M.S. 輔仁大學 1976
- Southern Illinois University 1984–1986
- Director Mathematical Research Promotion Center 2005 - 2007
- Deputy Director Institute of Mathematics, Academia Sinica 2000/8 - 2004/12
- Supervisor the mathematics library, Academia Sinica 1999 - 2000
- Associate Research Fellow 1990 - 1999
- Instructor Chinese Culture University 1978 - 1984
- Director Mathematical Research Promotion Center 2005 - 2007
- Deputy Director Institute of Mathematics, Academia Sinica 2009/4 -2011/3
- Research Fellow 1999
- Professor Department of Mathematical Sciences, National Chengchi University 2009/8
- "Binomial permutations of finite fields", Bull. Austral. Math. Soc., 38, 325-327, 1988
- (with J. Gomez-Calderon and G. L. Mullen) "Value sets of Dickson polynomials over finite fields", J. Number Theory, 30, 334-344, 1988
- (with G. L. Mullen, P. J.-S. Shiue, and Q. Sun) "Pairs of primitive elements modulo $p^l$", J. Sichuan Univ. Natural Science, 26, 189-195, 1989
- "Permutation Polynomials on Finite Fields and Combinatorial Applications", Ph.D. thesis, Penn. State University, 1990
- (with H. Bowman and P. J.-S. Shiue) "A matrix method for solving the postage stamps problem", Missouri J. Math. Sciences, 2, 70-76, 1991
- "Formulas for counting chains in multisets", Utilitas Math., 40, 3-12, 1991
- (with G. L. Mullen) "Generating linear spans over finite fields", Acta Arith., 61, 183-191, 1992
- "Set-complete mappings on finite fields, Finite Fields, Coding Theory, and Advances in Communications and Computing (Las Vegas, 1991), Lecture Notes in Pure and Appl. Math., vol. 141, pp. 33--41, Dekker, New York, 1993. ", 1993
- (with P. J.-S. Shiue) "A note on circular permutations", J. Comb. Math. Combl. Comp., 16, 165-170, 1994
- (with Y. Manoussakis, O. Megalakaki, M. Spylatos, and Zs. Tuza) "Paths through fixed vertices in edge-colored graphs", Math. Inf. Sci. Hum., 49-58, 1994
- "The period lengths of inversive pseudorandom vector generations", Finite Fields & Their Appls., 1, 126-132, 1995
- "On inversive maximal period polynomials over finite fields", Applicable Algebra in Engrg. Comm. Comp., 6, 245-250, 1995
- "The period lengths of inversive congruential recursions", Acta Arith., 73, 325-341, 1995
- (with H. Niederreiter) "On the lattice test for inversive congruential pseudorandom numbers, Monte Carlo & Quasi-Monte Carlo Methods in Scientific Computing (Las Vegas, 1994), Lecture Notes in Statistics, vol.~106, pp.~186--197, Springer-Verlag, New York, 1995 ", 1995
- "The factorization of Dickson polynomials over finite fields", Finite Fields & Their Appls., 3, 84-96, 1997
- (with J.-M. Ku and P. J.-S. Shiue) "On crossings of hyperplanes on the n-D torus", J. Algebra, 192, 43-54, 1997
- (with S. D. Cohen) "Polynomial distribution and sequences of irreducible polynomoials over finite finite fields", J. Number Theory, 75, 145-159, 1999
- (with P. J.-S. Shiue) "crossings on the 2-D torus", ARS Combinatorica, 54, 29-31, 2000
- (with S. D. Cohen) "Primitive elements with zero traces. NSC88-2115-M-001-002 ", Finite Field & Their Appls., 7, 125-141, 2001
- (with H. Niederreiter) "Monomials and binomials over finite fields as $\scr R$-orthomorphisms. NSC88-2115-M-001-002 ", Publ. Math. Debcreen, 61, 511-521, 2002
- (with T. C. Brown and P. J.-S. Shiue) "On the partition function of a finite set", Australasian J. Comb., 27, 193-204, 2003
- (with Y. Chang and P. J.-S. Shiue) "On the number of primitive polynomials over finite fields", Finite Fields & Their Appls., 11, 156-163, 2005
- (with I. E. Shparlinski) "On the cycle structure of repeated exponentiation modulo a prime. NSC92-2115-M-001-026", J. Number Theory, 107, 345-356, 2004
- (with L. C. Hsu ! P. J.-S. Shiue) "Application of Faa di Bruno's formula in characterization of inverse relations ", J. Comput. Applied Math, 190, 151-169, 2006
- (with P. J.-S. Shiue) "Periodic aspects of sequences generated by two special mappings ", Taiwanese J. Math., 10 (4), 829-836, 2006
- (with L.C.Hsu!P.J.-S.Shiue) "On a class of combinatorial sums involving generalized factorials, doi:10.1155/2007/12604", Int. J. Math. & Math. Sciences, 2007
- (with B.-S. Du ! P.J.-S.Shiue) "A note on circulant transition matrices in Markov chains, NSC94-2115-M-001-019", Linear Algebra and Its Applications, 429, 1699-1704, 2008
- (with G.L. Mullen! B. Wassermann) "On the number of solutions of equations of Dickson polynomials over finite fields, NSC94-2115-M-001-019", Taiwanese Journal of Mathematics, 12, 917-931, 2008
- (with J. Gomez-Calderon, G. L. Mullen, D. Panario, D. Thomson) "Subfield value sets of polynomials over finite fields", Functiones et Approximatio Commentarii Mathematici, 48 (1), 147-165, 2013
- (with He T.-X. ) "On the construction of number sequence identities", J. Concrete and Appl. Math. , 11, 277-291, 2013
- (with He T.-X., Shiue P. J.-S.) "Enumeration problems for a linear congruence equation", Taiwanese Journal of Mathematics, 18 (1), 265-275, 2014-02
- (with Hsu L. C.) "An Extension of Fleck-type M$\ddot{\mbox{o}}$bius Function and Inversion", International Journal Of Number Theory, 11 (6), 1807-1819, 2015
- (with Cao X.) "More Constructions of Approximately Mutually Unbiased Bases", Bulletin of the Australian Mathematical Society, 93, 211-222, 2016
- (with X. Cao, J. Gu) "On the number of solutions of certain diagonal equations over finite fields", FINITE FIELDS AND THEIR APPLICATIONS, 42, 225-252, 2016
- (with X. Cao and X. Zhang) "More constructions of near optimal codebooks associated with binary sequences", Advances in Mathematics of Communications, 11 (1), 187-202, 2017-02
- (with A. Blokhuis, X. Cao and X.-D. Hou) "On the Roots of Certain Dickson Polynomials", J. Number Theory , 186, 229-246, 2018-07
- (with Tian-Xiao He and Peter J.-S. Shiue) "On the Primality of the Generalized Fuss-Catalan Numbers", J. Integer Sequences , 21, 18-, 2018