Publications
back
to Goren's webpage
Papers
- Eyal Z. Goren: On
Certain Reduction Problems Concerning Abelian Surfaces,
Manuscripta Math. 94 (1997), 33--43.
- E. De Shalit and
E.Z. Goren: On
special values of theta functions of genus two, Annales Inst.
Fourier 47, 3 (1997), 775--799.
- E. Bachmat and E. Z.
Goren: On
the non ordinary locus in Hilbert-Blumenthal surfaces, Math.
Annalen, 313 (1999) 3, 475-506.
- E. Z. Goren and F.
Oort: Stratifications
of Hilbert modular varieties, J. Algebraic Geom. 9(2000),
111-154.
- E. Z. Goren: Hasse invariants for Hilbert modular varieties,
Israel J. Math. 122 (2001), 157-174.
- E. Z. Goren: Hilbert modular varieties in positive characteristic, The
arithmetic and geometry of algebraic cycles (Banff, AB, 1998),
283--303, CRM Proc. Lecture Notes, 24, Amer. Math. Soc., Providence, RI, 2000.
- E. Z. Goren: Hilbert
modular forms modulo p^m -- the unramified case. J. Number
Theory 90 (2001), no. 2, 341--375.
- F. Andreatta and E.
Z. Goren: Hilbert
modular forms: mod p and p-adic aspects. Mem.
Amer. Math. Soc. 173 (2005), no.
819, vi+100 pp.
- F. Andreatta and E.
Z. Goren: Geometry
of Hilbert modular varieties over totally ramified primes.
Internat. Math. Res. Notices 33 (2003), 1785-1835.
- F. Andreatta and E.
Z. Goren: Hilbert
modular varieties of low dimension. In Geometric aspects of
Dwork theory. Vol. I, II, 113--175, Walter de Gruyter GmbH & Co.
KG, Berlin,
2004. Alan Adolphson, Francesco Baldassarri, Pierre Berthelot, Nicholas
Katz, and Francois Loeser (Eds.).
- E. Z. Goren and K.
Lauter: Class
invariants for quartic CM fields. Annales Inst. Fourier 57, 2
(2007), p.457-480.
- E. Z. Goren and
Payman L Kassaei: The
canonical subgroup: a "subgroup-free" approach. Comm. Math.
Helv., Volume 81 (3) (2006), 617-641.
- F. Andreatta and E.
Z. Goren: Displays and Local Models. In preparation.
- E. Z. Goren and K.
Lauter: Evil
primes and superspecial moduli. Int.
Math. Res. Not. 2006, Art. ID 53864, 19
pp.
- E. Z. Goren: Exercises in deformation theory and arithmetic applications.
In preparation.
- D. X. Charles, E. Z.
Goren and K. E. Lauter: Families
of Ramanujan graphs and quaternion algebras. To appear in
special AMS-CRM volume "Groups and Symmetries" in honor of John
McKay.
- D. X. Charles, E. Z.
Goren and K. E. Lauter: Cryptographic
hash functions from expander graphs.
J. Cryptol. (2009) 22: 93–113
DOI: 10.1007/s00145-007-9002-x. What's that all about? See the
beautiful paper by Dana Mackenzie Cryptologists
Cook Up Some Hash for New 'Bake-Off' (14 March 2008) Science 319
(5869), 1480-1. [DOI: 10.1126/science.319.5869.1480]
- E. Z. Goren and K.
E. Lauter. The distance
between superspecial abelian varieties with real multiplication. J.
Number Theory 129, No. 6, 1562-1578 (2009).
- E. Z. Goren and
Payman L Kassaei: Canonical
subgroups over Hilbert modular varieties. C. R. Acad. Sci.
Paris, Ser. I 347 (2009) 985-990.
- E. Z. Goren and
Payman L Kassaei: Canonical
subgroups over Hilbert modular varieties. Submitted. 56 pp.
Books
Thesis
- E.Z. Goren: Units in abelian extensions of cm fields of degree four, Hebrew
Univerity of Jerusalem 1996, xii + 102 + ix pages (Advisor: E. De
Shalit).
Preprints
Lectures
- Quaternions and Arithmetic (Colloquium lecture)
- Class
invariants for genus two by Eyal Goren and Kristin Lauter:
Part
I, Part
II, the 4th Spring Conference on Modular Forms and Related Topics, Hamana Lake,
Hamamatsu, Japan, February 5-9, 2007.
- Canonical
Subgroups over Hilbert Modular Varieties. Minerva school of p-adic
methods in arithmetic algebraic geometry. March 29 - April 7, 2009, and Conference in Arithmetic Geometry in honor of
Thomas Zink, Bielefeld
June 14-19, 2009.
- 3 Lectures
in the Summer school "Automorphic
forms and L-functions: computational aspects" --
S\'eminaire de Math\'ematiques Sup\'erieures. June
22- July 3, 2009, CRM, Montreal.
- A lecture for the McGill math undergradute
society SUMS on Lattices. October 19,
2009, and to the McGill Winter School, January 8, 2010.