Hui June Zhu Publication: Papers and Preprints

  1. Supersingular abelian varieties over finite fields.
    Berkeley thesis (advisor: Hendrik W. Lenstra, Jr). See the two papers below.

  2. [ps|pdf]Group structures of supersingular abelian varieties over finite fields.
    J. Number Theory, 81 (2000), 292--309.

  3. [ps|pdf]Supersingular abelian varieties over finite fields.
    J. Number Theory, 86 (2001), 61--77.

  4. [ps|pdf]On the existence of absolutely simple abelian varieties of a given dimension over an arbitrary field (joint with Everett W. Howe ).
    J. Number Theory, 92 (2002), 139--163.

  5. [ps|pdf]Hyperelliptic curves in characteristic 2 (joint with Jasper Scholten).
    Inter. Math. Research Notices, 17 (2002), 905--917.

  6. [ps|pdf]First slope case of Wan's conjecture (joint with Jasper Scholten).
    Finite Fields and their Appl. 8 (2002), 414--419.

  7. [ps|pdf]Families of supersingular curves in characteristic 2 (joint with Jasper Scholten).
    Mathematical Research Letters 9 (2002), no. 5-6, 639--650.

  8. [ps|pdf]p-adic variation of L functions of one variable exponential sums, I.
    American Journal of Mathematics 125 (2003), 669-690.

  9. [ps|pdf]Slope estimates on Artin-Schreier curves (joint with Jasper Scholten).
    Compositio Math. 137 (2003), 275--292. (misprints for the paper in print.)

  10. [ps| pdf]The abc conjecture and correctly rounded reciprocal square roots. (joint with Ernie Croot and Ren-Cang Li). 
    Theoretical Computer Science
    315 (2004), Issues 2-3, 405--417.
    (Special issue on Algebraic and Numerical Algorithms, edited by I.Emiris, B.Mourrain and V.Pan.)

  11. [ps|pdf]Asymptotic variation of L functions of one-variable exponential sums.
    J. Reine Angew. Math., 572 (2004), 219--233.

  12. [pdf]Construction of some families of 2-dimensional crystalline representations. (joint with Laurent Berger and Hanfeng Li).
     Mathematische Annalen 329 (2004), no.2, 365--377.

  13. [ps|pdf] L-functions of exponential sums over one-dimensional affinoids : Newton over Hodge.  
    Inter. Math. Research Notices. 2004, no 30, (2004), 1529--1550.

  14. [ps|pdf] Zeta functions of totally ramified p-covers of the projective line (joint with Hanfeng Li).  Rend. Sem. Mat. Univ. Padova 113 (2005), 203--225.

  15. [ps|pdf] Hyperelliptic curves over F_2 of every 2-rank without extra automorphisms.
     Proc. Amer. Math. Soc. 134  (2006),  323--331 .

  16. [pdf] p-rank stratification of Artin-Schreier curves (joint with Rachel Pries).
    arXiv:math.NT/0609657.

  17. [pdf] Hodge-Stickelberger polygons for L-functions of exponential sums of P(x^s) (joint with Regis Blache and Eric Ferard).
    arXiv:0706.2340
    [Math.NT].

  18. [pdf] Family of supersingular curves. Preprint.


MathReviews of my papers at AMS:

My Erdös number is 3. (Proof: Erdös-Granville-Croot-Zhu).