Wentang Kuo



Office: MC 5004
Phone: 5198884567 ext 47202
Fax: 5197250160


Research Interests
I am working on Number Theory (both algebraic and analytic), and Algebra. In particular, I am interested in arithmetic properties of function fields, Drinfeld modules, and Waring's problem.
Teaching
I have taught various undergraduate and graduate courses at Purdue, NTU, Queens and Waterloo over the past twenty years, and supervised more than ten graduate students.
Publications
 W. Kuo, Y.R. Liu and X. Zhao, "On the Multidimensional HilbertKamke systems," preprint (30 pages).
 L. Eliott, L. Jain and W. Kuo, "Koblitz's Conjecture for the Drinfeld Module," preprint (20 pages).
 W. Kuo and D. Tweedle, "Artin's conjecture for Drinfeld
modules," accepted by Algebra and Number Theory, in 2021 (43 pages).
 W. Kuo, Y.R. Liu, S. Ribas, and K. Zhou, "The Shifted Turan
Sieve Method on Tournament II," Discrete Mathematics 344 (2021), no. 12, Paper No. 112602, 11 pp.
 W. Kuo and D. Tweedle, "Cyclicity of Drinfeld modules," Bulletin
of London Mathematical Society 53 (2021), no. 5, 15001519.
 W. Kuo and S. Yamagishi, "Sidon basis in polynomial rings over
finite fields," Czechoslovak Mathematical Journal, 71(2021) no. 2, 555562.
 W. Kuo and D. Tweedle, "A Prime analogue ErdosPomerance result
for Drinfeld modules with arbitrary endomorphisms rings,"
Proceeding of American Mathematical Society, 148(2020), no. 9, 37333747.
 E. Eisenstein, L. Jain and W. Kuo, "On extending Artin's
conjecture to composite moduli in function fields,"
Journal of Number Theory, 213(2020), 285318.
 W. Kuo, Y.R. Liu and X. Zhao, " The asymptotic estimates and
Hasse principle for multidimensional Waring's problem," Advances in
Mathematics, 353(2019), 166.
 W. Kuo and W.L. Sun, "The multiplicative Jordan decomposition in
the integral group ring Z[Q_8x C_p]"
Journal of Algebra, 534(2019), 1633.
 W. Kuo, Y.R. Liu, S. Ribas, and K. Zhou, "The Shifted Turan
Sieve Method on Tournament," Canad. Math. Bull. 62(2019) no. 3, 841855.
 W. Kuo and S. Yamagishi, "On a problem of Sidon for polynomials
over finite fields," Acta Arithmetica, 174 (2016), no. 3, 239254.
 W. Kuo and D. Tweedle, "Primitive Submodules for Drinfeld
Modules," Mathematical Proceedings of the Cambridge
Philosophical Society, 159 (2015), no. 2, 275302.
 Y.L. Kuan, W. Kuo and W.C. Yao, "On an ErdosPomerance
conjecture for rank one Drinfeld modules," Journal of Number
Theory, 157 (2015), 136.
 W. Kuo, Y.R. Liu and X. Zhao, "Multidimensional Vinogradovtype Estimates in Function
Fields," Canad.
J. Math., 66 (2014), 844873.
 W. Kuo, "Langlands correspondence on the generic constituents of
principal series," Canad. J. Math, 62(2010), no. 1, 94108.
 W. Kuo, "A generalization of the SatoTate conjecture,"
Int. J. Number Theory 5 (2009), no.1, 173184.
 W. Kuo and Y.R. Liu, "A Carlitz module analogue of a
conjecture of Erdos and Pomerance," Trans. Amer. Math. Soc., 361 (2009), 45194539.
 W. Kuo and Y.R. Liu, "Cyclicity of finite Drinfeld
modules," J. London Math. Soc. 80 (2009), 567584.
 W. Kuo and Y.R. Liu, "Gaussian laws on Drinfeld
modules," Int. J. Number Theory, 7 (2009), 11791203.
 W. Kuo, "Some computations on Bruhat decompositions," an appendix of
Complexity of group actions and stability of root numbers, by
F. Shahidi, Comtemp. Math., 489, Automorphic forms and Lfunctions
II, Local aspects, 277283, Amer. Math. Soc., Providence, RI, 2009.
 W. Kuo, and Y.R. Liu, "The ErdosKac theorem and its
generalizations," The anatomy of integers, CRM
Proceedings & Lecture Notes, 46 (2008), 209216.
 W. Kuo, "A remark on a modular analogue of the SatoTate
conjecture," Canad. Math. Bull., 50 (2007), no. 2, 234242.
 W. Kuo, "A nonvanishing theorem on Dirichlet series,"
C. R. Math. Acad. Sci. Soc. R. Can., 27 (2005), no. 3, 7683.
 W. Kuo, and R. Murty, "On a conjecture of Birch and
SwinnertonDyer," Canad. J. Math., 57 (2005), no. 2, 328337.
 W. Kuo, and R. Murty, "Summatory functions of elements in Selberg's
class," Algebraic groups and arithmetic, 525538, Tata
Inst. Fund. Res., Mumbai, 2004.
 W. Kuo, "Summatory functions of elements in Selberg's class II,"
C. R. Math. Acad. Sci. Soc. R. Can., 25 (2003), no. 2, 5562.
 W. Kuo, "Principal nilpotent orbits and reducible principal
series," Represent. Theory, 6 (2002), 127159 (electronic).
 W. Kuo, "Principal nilpotent orbits and reducible principal series,'' MIT thesis,
2000.