- B.S. and M.S in Math, Peking(Beijing) University, China
- Ph. D. in Math, University of Illinois at Urbana-Champaign

- Class Invariants and Singular Moduli
- Class Ideal Groups and Class Numbers of Quadratic Fields
- Unit Groups of Number Fields
- Class Field Theory, Genus Theory and Complex Multiplication
- Continued Fractions
- Elliptic Functions and Modular Forms
- q-Series
- Diophantine Equations
- Ramanujan's Work

- "Explicit evaluations of two Ramanujan-Selberg continued fractions"
*International Journal of Number Theory,*to appear. - "Explicit evaluation of a Ramanujan-Selberg continued fraction",
*Proceedings of AMS,*130, No. 1(2001), 9-14. - "A certain quotient of eta-functions found in Ramanujan's Lost
Notebooks,
*Pacific Journal of Mathematics,*Vol. 202, No. 2 (2002), pp 267-304 (with Berndt, Chan and Kang). - "Radicals and units in Ramanujan's work",
*Acta Arith.,*LXXXIL.4(1998), pp 145-158 (with Berndt and Chan). - "Ramanujan's class invariants, Kronecker's limit formula and modular
equations III",
*Acta Arith.,*LXXXII 4 (1997), pp 379-392. - "Ramanujan's association with radicals in India",
*Amer. Math. Momthly,*104 (Dec., 1997), pp 905-911 (with Bruce Berndt and Chan). - "Ramanujan's remarkable product of Theta functions",
*Proc. Edinburg Math. Soc.,*40 (1997), pp 583-612 (with Berndt and Chan). - "Ramanujan's class invariants, Kronecker's limit formula and modular
equations",
*Trans. Amer. Soc.,*349(1997), pp 2125-2173 (with Berndt & Chan). - "Ramanujan's class invariants with applications to the values of
q-continued fractions and Theta functions",
*Fields Institute Communications,*14(1997), pp37-53 (with Berndt and Chan). - "Ramanujan's class invariants, Kronecker's limit formula and modular
equations II",
*Analytic Number Theory, Proceedings of Conference in Honor of H. Halberstam, Birhauser*, (1996), Vol. 2, pp 817-838. - "Explicit values of the Rogers-Ramanujan continued fractions",
*J.Reine Angew. Math.*, 480(1996), pp 141-159 (with Berndt and Chan). - "Ramanujan's singular moduli",
*The Ramanujan Journal*,1(1997), pp. 53-74 (with Berndt and Chan). - "Ramanujan's class invariants and cubic continued fractions",
*Acta, Arith.*, 73(1995), pp 67-85, (with Berndt and Chan). - "New criterion for class number one for real quadratic fields",
*Number Theory (CMS Conference Proceedings)*, Vol. 15, (1995), pp 245-248, (with R. Mollin). - "A lower bound for the class number of a real quadratic field of
ERD-type",
*Canadian Mathematical Bulletin*, Vol. 37 (1994), pp 90-96, (with R. Mollin & P.Kemp) - "A new class of theta function identities originating in Ramanujan's
Notebooks",
*Journal of Number Theory*, Vol. 48, No. 2,(1994), pp 224-242, (with Berndt). - "Ramanujan's continued farctions for products of Gamma functions",
*J. Math. Anal. and Appl.*, Vol. 174, No. 1, (1993), pp 22-52. - "Orders in quadratic fields II",
*Proceedings of the Japan Academy*, Vol. LXIX, Ser. A, No. 9, (1993), pp 368-371, (with R. Mollin). - "Reduced ideals, the divisor function, continued fractions and class
numbers of real quadratic fields",
*Publicationes Mathematicae*, Debrecen, Tomus 43/3-4, (1993), pp 315-328, (with R. Mollin). - "Ramanujan's identities for eta-functions",
*Mathematische Annalen*, 292 (1992), pp 561-573, (with B. Berndt). - "On unit solution of the equation xyz=x+y+z in total imaginary
quartic fields",
*Journal of Number Theory*, Vol. 40, No. 3 (1992), pp 255-263, (with H. Edgar and J. Gordon). - "q-Difference equations and Ramanujan-Selberg continued fractions",
*Acta Arith.*, Vol. 57, No. 4, (1991) pp 307-355. - "On unit solutions of the equation xyz=x+y+z in not total real cubic
fields",
*Canadian Math. Bulletin*, Vol. 34(1), (1991), pp 141-144, (with J. Gordon). - "On unit solution of the equation xyz=x+y+z in a number field with
unit group of rank one",
*Acta Arith.*, Vol. 57, No. 2, (1991), pp 155-158, (with J. Gordon). - "Some q-integrals associated with modular forms",
*J. of Math. Anal. and Appl.*, Vol. 150, No. 1, (1990), pp 264-273. - "On a diophantine equation of Modell in number theory",
*Acta Sci. of Sichuan Univ.*, (1990) pp 164-167. - "On the units of cubic and bicubic fields",
*Acta Math. Sinica*, New series, Vol. 1, No. 1, pp 22-34 (1985) - "On a principle of reduction of fields Q(cubic root of m_1, ..., cubic
root of m_r)",
*Advances in Math (Chinese)*, Vol. 12, No.3 (1983), PP 237-240.

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