Wentang Kuo

Associate Professor
Department of Pure Mathematics
Faculty of Mathematics
University of Waterloo


photo
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), Algebra and Representation theory. In particular, I am interested in arithmetic properties of function fields, Waring's problem, and the Langlands program.

Teaching

   I have taught various undergraduate and graduate courses at MIT, Purdue, NTU, Queens and Waterloo over the past twenty years, and supervised more than ten graduate students.

Publications

  1. W. Kuo, Y.-R. Liu, S. Ribas, and K. Zhou, "The Shifted Turan Sieve Method on Tournament II," submitted (12 pages).
  2. W. Kuo and D. Tweedle, "Artin's conjecture for Drinfeld modules," submitted (43 pages).
  3. W. Kuo, Y.-R. Liu and X. Zhao, "On the Hilbert-Kamke-Waring's systems," preprint (32 pages).
  4. L. Eliott, L. Jain and W. Kuo, "Koblitz's Conjecture for the Drinfeld Module," preprint (20 pages).
  5. W. Kuo, "Rational forms and the local Langlands conjecture," preprint (34 pages).
  6. W. Kuo and D. Tweedle, "Cyclicity of Drinfeld modules," accepted by Bulletin of London Mathematical Society, in 2021 (20 pages).
  7. W. Kuo and S. Yamagishi, "Sidon basis in polynomial rings over finite fields," Czechoslovak Mathematical Journal, 70(2020) no. 4, 1--8.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. W. Kuo and S. Yamagishi, "On a problem of Sidon for polynomials over finite fields," Acta Arithmetica, 174 (2016), no. 3, 239--254.
  14. W. Kuo and D. Tweedle, "Primitive Submodules for Drinfeld Modules," Mathematical Proceedings of the Cambridge Philosophical Society, 159 (2015), no. 2, 275--302.
  15. 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.
  16. W. Kuo, Y.-R. Liu and X. Zhao, "Multi-dimensional Vinogradov-type Estimates in Function Fields," Canad. J. Math., 66 (2014), 844-873.
  17. W. Kuo, "Langlands correspondence on the generic constituents of principal series," Canad. J. Math, 62(2010), no. 1, 94-108.
  18. W. Kuo, "A generalization of the Sato-Tate conjecture," Int. J. Number Theory 5 (2009), no.1, 173-184.
  19. 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.
  20. W. Kuo and Y.-R. Liu, "Cyclicity of finite Drinfeld modules," J. London Math. Soc. 80 (2009), 567-584.
  21. W. Kuo and Y.-R. Liu, "Gaussian laws on Drinfeld modules," Int. J. Number Theory, 7 (2009), 1179--1203.
  22. 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.
  23. 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.
  24. W. Kuo, "A remark on a modular analogue of the Sato-Tate conjecture," Canad. Math. Bull., 50 (2007), no. 2, 234--242.
  25. W. Kuo, "A non-vanishing theorem on Dirichlet series," C. R. Math. Acad. Sci. Soc. R. Can., 27 (2005), no. 3, 76--83.
  26. W. Kuo, and R. Murty, "On a conjecture of Birch and Swinnerton-Dyer," Canad. J. Math., 57 (2005), no. 2, 328--337.
  27. 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.
  28. 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.
  29. W. Kuo, "Principal nilpotent orbits and reducible principal series," Represent. Theory, 6 (2002), 127--159 (electronic).
  30. W. Kuo, "Principal nilpotent orbits and reducible principal series,'' MIT thesis, 2000.

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Last Modified:  Thursday 22 April 2021