Wentang Kuo
|
|
-
Office: MC 5004
Phone: 519-888-4567 ext 47202
Fax: 519-725-0160
|
|
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 Multi-dimensional Hilbert-Kamke 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, 1500--1519.
- W. Kuo and S. Yamagishi, "Sidon basis in polynomial rings over
finite fields," Czechoslovak Mathematical Journal, 71(2021) no. 2, 555--562.
- W. Kuo and D. Tweedle, "A Prime analogue Erdos-Pomerance result
for Drinfeld modules with arbitrary endomorphisms rings,"
Proceeding of American Mathematical Society, 148(2020), no. 9, 3733--3747.
- E. Eisenstein, L. Jain and W. Kuo, "On extending Artin's
conjecture to composite moduli in function fields,"
Journal of Number Theory, 213(2020), 285--318.
- W. Kuo, Y.-R. Liu and X. Zhao, " The asymptotic estimates and
Hasse principle for multidimensional Waring's problem," Advances in
Mathematics, 353(2019), 1--66.
- 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), 16--33.
- W. Kuo, Y.-R. Liu, S. Ribas, and K. Zhou, "The Shifted Turan
Sieve Method on Tournament," Canad. Math. Bull. 62(2019) no. 3, 841--855.
- W. Kuo and S. Yamagishi, "On a problem of Sidon for polynomials
over finite fields," Acta Arithmetica, 174 (2016), no. 3, 239--254.
- W. Kuo and D. Tweedle, "Primitive Submodules for Drinfeld
Modules," Mathematical Proceedings of the Cambridge
Philosophical Society, 159 (2015), no. 2, 275--302.
- Y.-L. Kuan, W. Kuo and W.-C. Yao, "On an Erdos-Pomerance
conjecture for rank one Drinfeld modules," Journal of Number
Theory, 157 (2015), 1--36.
- W. Kuo, Y.-R. Liu and X. Zhao, "Multi-dimensional Vinogradov-type Estimates in Function
Fields," Canad.
J. Math., 66 (2014), 844-873.
- W. Kuo, "Langlands correspondence on the generic constituents of
principal series," Canad. J. Math, 62(2010), no. 1, 94-108.
- W. Kuo, "A generalization of the Sato-Tate conjecture,"
Int. J. Number Theory 5 (2009), no.1, 173-184.
- W. Kuo and Y.-R. Liu, "A Carlitz module analogue of a
conjecture of Erdos and Pomerance," Trans. Amer. Math. Soc., 361 (2009), 4519-4539.
- W. Kuo and Y.-R. Liu, "Cyclicity of finite Drinfeld
modules," J. London Math. Soc. 80 (2009), 567-584.
- W. Kuo and Y.-R. Liu, "Gaussian laws on Drinfeld
modules," Int. J. Number Theory, 7 (2009), 1179--1203.
- 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 L-functions
II, Local aspects, 277-283, Amer. Math. Soc., Providence, RI, 2009.
- W. Kuo, and Y.-R. Liu, "The Erdos-Kac theorem and its
generalizations," The anatomy of integers, CRM
Proceedings & Lecture Notes, 46 (2008), 209-216.
- W. Kuo, "A remark on a modular analogue of the Sato-Tate
conjecture," Canad. Math. Bull., 50 (2007), no. 2, 234--242.
- W. Kuo, "A non-vanishing theorem on Dirichlet series,"
C. R. Math. Acad. Sci. Soc. R. Can., 27 (2005), no. 3, 76--83.
- W. Kuo, and R. Murty, "On a conjecture of Birch and
Swinnerton-Dyer," Canad. J. Math., 57 (2005), no. 2, 328--337.
- W. Kuo, and R. Murty, "Summatory functions of elements in Selberg's
class," Algebraic groups and arithmetic, 525--538, 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, 55--62.
- W. Kuo, "Principal nilpotent orbits and reducible principal
series," Represent. Theory, 6 (2002), 127--159 (electronic).
- W. Kuo, "Principal nilpotent orbits and reducible principal series,'' MIT thesis,
2000.