Publications                                       
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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. Groups and symmetries, 53--80, CRM Proc. Lecture Notes, 47, Amer. Math. Soc., Providence, RI, 2009, Special AMS-CRM volume 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. J. Reine Angew. Math. (Crelle's Journal). 63 pp. 2011. DOI: 10.1515/CRELLE.2011.149
  
• E. Z. Goren and Kristin E. Lauter: Genus 2 curves with complex multiplication. (Version differs slightly from Journal version). Int. Math. Res. Not. 2011, 75 pages. doi:10.1093/imrn/rnr052
  
• E. Z. Goren and Kristin E. Lauter: A generalization of the Gross-Zagier theorem on singular moduli. In preparation. 
  

Books

• Lectures on Hilbert Modular Varieties and Modular Forms. (With the assistance of M.-H. Nicole). 270 pp. CRM Monograph Series CRMM/14.
• Number Theory: Proceedings of the Canadian Number Theory Association 7 meeting. Montreal, 2002. H. Kisilevsky and E. Z. Goren, (Eds). CRM Proceedings and  Lecture Notes, Vol. 36, American Mathematical Society 2004.

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

• E.Z. Goren: A note on vanishing properties of certain theta constants of genus 2, Landau Center, Preprint No. 15 (1995/6), 11 pages. DVI file or PS file.
• E.Z. Goren: Quasi-symmetric line bundles on abelian varieties, Max Planck Inst, Preprint 95-106 (1995), 67 pages.

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.
• A lecture at Vanier College, September 23, 2011, on Sums of Squares.