hui june zhu
Publication and Papers
- Supersingular abelian varieties over finite fields.
Berkeley thesis (advisor:
Hendrik W. Lenstra, Jr). See the two papers below.
- [pdf]Group
structures of supersingular abelian varieties over finite fields.
J. Number Theory, 81 (2000), 292--309.
- [pdf]Supersingular
abelian varieties over finite fields.
J. Number Theory, 86 (2001), 61--77.
- On
the existence of absolutely simple abelian varieties of a given
dimension over an arbitrary field (joint with Everett W. Howe ). arXiv:math/0002205
J. Number Theory, 92 (2002), 139--163.
- Hyperelliptic
curves in characteristic 2 (joint with Jasper Scholten). arXiv:math/0012178
Inter. Math. Research Notices, 17 (2002), 905--917.
- [pdf]First
slope case of
Wan's conjecture (joint with Jasper Scholten).
Finite Fields and their Appl. 8 (2002), 414--419.
- Families
of supersingular curves in characteristic 2 (joint with Jasper
Scholten). arXiv:math/0112086
Mathematical Research Letters 9 (2002), no. 5-6,
639--650.
- [pdf]p-adic
variation of L functions of one variable exponential sums, I. arXiv:math/0111194
American Journal of Mathematics 125 (2003), 669-690.
- Slope
estimates on Artin-Schreier curves (joint with Jasper
Scholten). arXiv:math/0105005
Compositio Math. 137 (2003), 275--292. (misprints for the paper in print.)
- [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.)
- Asymptotic
variation of L functions of one-variable exponential sums. arXiv:math/0206284
J. Reine Angew. Math., 572
(2004), 219--233.
- [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.
- [pdf] L-functions of
exponential sums over one-dimensional
affinoids : Newton over Hodge. arXiv:math/0302085
Inter. Math. Research Notices. 2004, no 30, (2004), 1529--1550.
- Zeta functions of
totally ramified p-covers of the
projective
line (joint with Hanfeng Li). arXiv:math/0312423
Rend.
Sem. Mat. Univ. Padova 113 (2005),
203--225.
- Hyperelliptic curves over F_2 of every 2-rank without extra
automorphisms. arXiv:math/0608156
Proc. Amer. Math. Soc. 134 (2006), 323--331 .
- Hodge-Stickelberger polygons for L-functions of exponential sums of
P(x^s) (joint with Regis Blache and Eric Ferard). arXiv:0706.2340
Mathematical
Research
Letters. Vol 15, issue 5, September 2008, 1053--1071.
- p-rank stratification of
Artin-Schreier curves
(joint with Rachel
Pries).
arXiv:math.NT/0609657. Annales de L'Institut Fourier
62 (2012), no.2, 707-726.
- Crystalline representations of G_{Q_{p^f}} with coefficients.
arXiv:0807.1078.[math.NT]
- Some families
of supersingular
Artin-Schreier curves in characteristic >2.
arXiv:0809.0104.[math.NT]
- Newton polygons for a variant of the Kloosterman family.
Joint with R. Bellovin, S.A. Garthwaite, E. Ozman, R. Pries, C. Wiliams.
arXiv: 1210.2614. Contemporary Mathematics, vol 606 (2013), 47--63.
- Asymptotic variations of L functions of exponential sums.
arXiv:1211.5875.[math.NT]
- Generic A-family of exponential sums.
J. Number Theory 143 (2014), 82--101.
arXiv:1308.0783.[math.NT]
- On a Theorem of Ax and Katz.
Journal de Theorie des Nombres de Bordeaux, (Electronically published online in 2016).
Vol 29 (2017), 137--150.
arXiv:1408.3224.[math.NT]
- Generic Newton slopes for Artin-Schreier-Witt tower in two variables.
arXiv:1612.07158. [math.NT], 2016.
- On slopes of L-functions of Zp-covers over the projective line.
Joint with Michiel Kosters.
arXiv:1701.08733. [math.NT], 2017.
MathReviews of my papers at AMS: