1. Amod Agashe, Kenneth Ribet, and William A. Stein, The Manin constant, Pure Appl. Math. Q. 2 (2006), no. 2, 617–636.[MR]
  2. Amod Agashe and William Stein, Visibility of Shafarevich-Tate groups of abelian varieties, J. Number Theory 97 (2002), no. 1, 171–185.[MR]
  3. Amod Agashe and William Stein, Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero, Math. Comp. 74 (2005), no. 249, 455–484 (electronic).[MR]
  4. Kevin Buzzard and William A. Stein, A mod five approach to modularity of icosahedral Galois representations, Pacific J. Math. 203 (2002), no. 2, 265–282.[MR]
  5. Frank Calegari and William A. Stein, Conjectures about discriminants of Hecke algebras of prime level, Algorithmic Number Theory, Lecture Notes in Comput. Sci., vol. 3076, Springer, Berlin, 2004, pp. 140–152.[MR]
  6. Robert F. Coleman and William A. Stein, Approximation of eigenforms of infinite slope by eigenforms of finite slope, Geometric Aspects of Dwork Theory. Vol. I, II, Walter de Gruyter GmbH &Co. KG, Berlin, 2004, pp. 437–449.[MR]
  7. Brian Conrad, Bas Edixhoven, and William Stein, J1(p) has connected fibers, Doc. Math. 8 (2003), 331–408 (electronic).[MR]
  8. Neil Dummigan, William Stein, and Mark Watkins, Constructing elements in Shafarevich-Tate groups of modular motives, Number Theory and Algebraic Geometry, London Math. Soc. Lecture Note Ser., vol. 303, Cambridge Univ. Press, Cambridge, 2003, pp. 91–118.[MR]
  9. Grigor Grigorov, Andrei Jorza, Stefan Patrikis, William A. Stein, and Corina Tarnita, Computational verification of the birch and swinnerton-dyer conjecture for individual elliptic curves, Math. Comp 78 (2009), 2397–2425.
  10. Grigor Grigorov, Andrei Jorza, Stephan Patrikis, William A. Stein, and Corina Tarnita-Patrascu, Verification of the Birch and Swinnerton-Dyer conjecture for specific elliptic curves, Preprint, 26 pages.
  11. Dimitar Jetchev, Kristin Lauter, and William Stein, Explicit Heegner points: Kolyvagin's conjecture and non-trivial elements in the Shafarevich-Tate group, J. Number Theory 129 (2009), no. 2, 284–302.[doi]
  12. Dimitar P. Jetchev and William A. Stein, Visibility of the Shafarevich-Tate group at higher level, Doc. Math. 12 (2007), 673–696.[MR]
  13. David Joyner and William Stein, SAGE: System for algebra and geometry experimentation, SIGSAM Bull. 39 (2005), no. 2, 61–64.
  14. David R. Kohel and William A. Stein, Component groups of quotients of J0(N), Algorithmic Number Theory (Leiden, 2000), Lecture Notes in Comput. Sci., vol. 1838, Springer, Berlin, 2000, pp. 405–412.[MR]
  15. Barry Mazur, William Stein, and John Tate, Computation of p-adic heights and log convergence, Doc. Math. (2006), no. Extra Vol., 577–614 (electronic).[MR]
  16. William A. Stein, Explicit Approaches to Modular Abelian Varieties, PhD Thesis, University of California, Berkeley, 2000.
  17. William A. Stein, There are genus one curves over Q of every odd index, J. Reine Angew. Math. 547 (2002), 139–147.[MR]
  18. William A. Stein, Shafarevich-Tate groups of nonsquare order, Modular curves and abelian varieties, Progr. Math., vol. 224, Birkhäuser, Basel, 2004, pp. 277–289.[MR]
  19. William Stein, Studying the Birch and Swinnerton-Dyer conjecture for modular abelian varieties using Magma, Discovering Mathematics with Magma, Algorithms Comput. Math., vol. 19, Springer, Berlin, 2006, pp. 93–116.[MR]
  20. William Stein, Modular Forms: A Computational Approach, Graduate Studies in Mathematics, vol. 79, American Mathematical Society, Providence, RI, 2007, pp. xvi+268.[MR]
  21. William A. Stein, Visibility of Mordell-Weil groups, Doc. Math. 12 (2007), 587–606.[MR]
  22. William A. Stein, An introduction to computing modular forms using modular symbols, Algorithmic number theory: lattices, number fields, curves and cryptography, Math. Sci. Res. Inst. Publ., vol. 44, Cambridge Univ. Press, Cambridge, 2008, pp. 641–652.[MR]
  23. William A. Stein and Helena A. Verrill, Cuspidal modular symbols are transportable, LMS J. Comput. Math. 4 (2001), 170–181 (electronic).[MR]
  24. William Stein and Yan Zhang, On power bases in number fields, Preprint (2005), 15 pages.