Publications

  1. Daniel J. Bernstein, Tanja Lange , Reza Rezaeian Farashahi | Binary Edwards Curves || 2008 | submitted | | article
  2. William Stein, Christian Wuthrich | Computations About Tate-Shafarevich Groups Using Iwasawa Theory | (37 pages) | 2008 | submitted | | article
  3. Koopa Koo, William Stein, Gabor Wiese | On the generation of the coefficient field of a newform by a single Hecke eigenvalue | (11 pages) submitted | 2008 | | | article
  4. Dan Boneh, Craig Gentry, Michael Hamburg | Space-efficient identity based encryption without pairings | (37 pages) Proceedings FOCS; On page 10 they write "These performance numbers were obtained using the SAGE library" | 2007| || article
  5. Patrick Ingram | Multiples of integral points on elliptic curves | (29 pages) | 2008 | | | article
  6. Nicholas J. Cavenagh, Carlo Hamalainen, Adrian M. Nelson | On completing three cyclic transversals to a latin square | (13 pages) | 2007 | || article
  7. Ron Evans | Hecke eigenforms and hypergeometric 3F2(1/4) evaluations over finite fields || 04-2009 ||| article
  8. Chris A. Kurth, Ling Long | Computations with finite index subgroups of $PSL_2(\mathbb Z)$ using Farey symbols | (16 pages) | 2007 ||| article
  9. David Harvey | Efficient computation of p-adic heights | (18 pages) | 2007 | || article
  10. David Harvey | Kedlaya's algorithm in larger characteristic | (21 pages) | 2006 | appeared in IMRN || article
  11. John Voight | Enumeration of totally real number fields of bounded root discriminant | (14 pages) | 2008 || | article
  12. David Loeffler | Explicit calculations of automorphic forms for definite unitary groups | (19 pages) | 2008 | || article
  13. Jonathan Sondow, Kyle Schalm | Which partial sums of the Taylor series for $e$ are convergents to $e$? (and a link to the primes 2, 5, 13, 37, 463) | (13 pages) | 2007 | | | article
  14. Dan Bernstein, Peter Birkner, Tanja Lange, Christiane Peters | Twisted Edwards Curves | | 2008 | 13 pages, there is a lot of Sage code in this paper | | article
  15. Barry Mazur | Finding meaning in error terms | (44 pages), Bull. Amer. Math. Soc. | 2008 || | article
  16. Barry Mazur | Controlling our errors | NATURE, Vol 443 | 7-09-2006 | | | article
  17. K.S. Kedlaya | Search techniques for root-unitary polynomials | (version of 25 Sep 2007) to appear in Proceedings of the Special Session on Computational Arithmetic Geometry, Amer. Math. Soc. (K. Lauter and K. Ribet, eds.) | 25-09-2009 | | | article
  18. David Joyner, William Stein | http://www.ams.org/notices/200710/ | Notices of the American Mathematical Society (link in the upper right) | | | | article
  19. David Joyner | Quadratic residue codes and hyperelliptic curves | Provisionally accepted by Discrete Mathematics and Theoretical Computer Science | 2008 | || article
  20. David Joyner | A primer on computational group homology and cohomology, | to appear in the Proceedings of the Gaglione conference, entitled Aspects of Infinite Groups, (ed. Ben Fine), published by World Scientific Press | 2008 || | article
  21. David Joyner , David Kohel | Groups and Sage | in Computational Group Theory and the Theory of Groups, AMS "Contemporary Mathematics" series vol. 470 (ed. Luise-Charlotte Kappe, Arturo Magidin, Robert Morse); pp. 115-140. | 2008 | | | article
  22. Daniel Kane , Steven Sivek | On the S_n-modules generated by partitions of a given shape | Electron. J. Combin. 15(1), #R111 | 2008 | | | article
  23. Kiran S. Kedlaya , Andrew V. Sutherland | Computing L-series of hyperelliptic curves | | 2008 | | | article
  24. Pierre Guillot | The Cohomology of 2-Groups | | 2008 || | article
  25. Jason Grout | The minimum rank problem over finite fields, | (this is an extensive revision of a chapter of my dissertation) | 2007 | || article
  26. Jason Grout | The minimum rank problem over finite fields. Dissertation at Brigham Young University, | | 2007 | | | article
  27. Dragos Cvetkovic , Jason Grout | Graphs with extremal energy should have a small number of distinct eigenvalues, | (the published version does not have the Sage code, only the Mma code) | 2007 || | article
  28. Iftikhar A. Burhanuddin | Some Computational Problems Motivated by the Birch and Swinnerton-Dyer Conjecture | Ph.D. (Computer Science) dissertation, University of Southern California | 08-2007 | | | article
  29. Jaap Spies | Dancing School problems, Permanent solutions of Problem 29, NAW 5/7, nr. 4, pp. 283-285 | | 12-2007 | | | article
  30. David Kohel | Cryptography | (and a local copy) | 2007 | | | article
  31. B. Bektemirov, B. Mazur, W. Stein, M. Watkins | Average ranks of elliptic curves: Tension between data and conjecture | Bulletins of the AMS, Volume 44, Number 2 | | | | article
  32. W. Stein | Modular Forms, a Computational Approach | | 02-2007 | || article
  33. D. Joyner , A. Ksir | Automorphism groups of some AG codes | IEEE Trans. Info. Theory, vol 52, pp 3325-3329. | 07-2007 | | | article
  34. Stein, et al. | Verification of the Birch and Swinnerton-Dyer Conjecture for Specific Elliptic Curves | | 2005 | | | article
  35. Martin Albrecht , Carlos Cid. | Algebraic Techniques in Differential Cryptanalysis | to appear in Proceedings of FSE 2009. Springer Verlag. 2009. pre-print: http://eprint.iacr.org/2008/177.pdf | 2009 | | | article
  36. Martin Albrecht, Craig Gentry, Shai Halevi , Jonathan Katz | Attacking Cryptographic Schemes Based on "Perturbation Polynomials | pre-print available at http://eprint.iacr.org/2009/098 | 2009 | | | article
  37. Wayne Barrett, Jason Grout , Raphael Loewy| The minimum rank problem over the finite field of order 2: minimum rank 3 || 2008 | | | article
  38. S Maitra, S Sarkar | Revisiting Wiener's attack - New Weak Keys in RSA | ISC 2008, LNCS 5222, pp. 228-243 | 2008 | | | article
  39. S Sarkar | A New Class of Weak Encryption Exponents in RSA | to be appear in Indocrypt 2008 | | | | article
  40. L. J. P. Kilford | Modular Forms: a Classical and Computational Approach | Imperial College Press | 2008 | | | article
  41. N. M. Dunfield , D. Ramakrishnan | Increasing the number of fibered faces of arithmetic hyperbolic 3-manifolds. | || | | article
  42. David Joyner , William Stein | Open source mathematical software | Opinion Column, AMS Notices | 11-2007 || | article
  43. Jaap Spies | Dancing School problems, Permanent solutions of Problem 29 | NAW 5/7, nr. 4, December 2006, pp. 283-285. | 12-2006 || | article
  44. B. Bektemirov, B. Mazur, W. Stein , M. Watkins | Verification of the Birch and Swinnerton-Dyer Conjecture for Specific Elliptic Curves | Bulletin of the AMS, 44 (2007), 233-254. | 2007 | || article
  45. D. Joyner , A. Ksir | Automorphism groups of some AG codes | IEEE Trans. Info. Theory, vol 52, July 2006, pp 3325-3329 | 07-2006 | | | article
  46. Kimberly Hopkins | Higher Weight Heegner Points | arXiv:0904.1141 | 04-2009 || | article
  47. Gregory Bard | Algorithms for Solving Linear and Polynomial Systems of Equations over Finite Fields with Applications to Cryptanalysis | Ph.D. thesis; CS, Univ. Maryland, 2007) | 2007 | | | thesis
  48. M. Albrecht | Algebraic Attacks on the Courtois Toy Cipher | Cryptologia, Volume 32, Issue 3, pages 220 - 276 | 7-2008 | Diplomarbeit - Universitat, Bremen | | thesis
  49. W. Stein | Modular Forms, a Computational Approach | Graduate Studies in Mathematics, AMS | 02-2007 | || book
  50. D.Joyner | Adventures with group theory: Rubik's cube, Merlin's machine, and other mathematical toys| 2nd edition, The Johns Hopkins Univer. Press | 2008 ||| book

Citing Sage

If you use Sage in a book, paper, website, etc., please email William Stein and reference Sage as described here!
Also, be sure to find out what components of Sage, e.g., Numpy, PARI, GAP, that your calculation uses, and properly attribute those systems (for example, ask on sage-support). Similarly, consider finding out who wrote the Sage code you're using and acknowledge them explicitly as well.