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Gopala Krishna}, title = {BKM Lie Superalgebras from Dyon Spectra in $Z_N$ CHL Orbifolds for Composite N}, journal = {Journal of High Energy Physics}, volume = {2010}, number = {5}, pages = {1--40}, year = {2010}, note = {http://arxiv.org/abs/0907.1410}, } @book{GranvilleJoyner2009, author = {William Granville and David Joyner}, title = {Differential Calculus and Sage}, publisher = {CreateSpace}, year = {2009}, note = {http://sage.math.washington.edu/home/wdj/teaching/calc1-sage}, } @article{Gray2008, author = {Michael Gray}, title = {Sage: A New Mathematics Software System}, journal = {Computing in Science \& Engineering}, volume = {10}, number = {6}, pages = {72--75}, year = {2008}, note = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4653208}, } @article{GreenKing2011, author = {David J. Green and Simon A. King}, title = {The computation of the cohomology rings of all groups of order 128}, journal = {Journal of Algebra}, volume = {325}, number = {1}, pages = {352--363}, year = {2011}, note = {http://arxiv.org/abs/1001.2577}, } @article{GrigorovEtAl2009, author = {Grigor Grigorov and Andrei Jorza and Stefan Patrikis and William A. Stein and Corina Tarnita}, title = {Computational Verification of the Birch and Swinnerton-Dyer Conjecture for Individual Elliptic Curves}, journal = {Mathematics of Computation}, volume = {78}, pages = {2397--2425}, year = {2009}, note = {http://www.wstein.org/papers/bsdalg}, } @phdthesis{Grout2007, author = {Jason Nicholas Grout}, title = {The Minimum Rank Problem Over Finite Fields}, school = {Department of Mathematics}, address = {Brigham Young University, USA}, year = {2007}, note = {http://www.sagemath.org/files/thesis/grout-thesis-2007.pdf}, } @article{Grout2010, author = {Jason Grout}, title = {The Minimum Rank Problem Over Finite Fields}, journal = {Electronic Journal of Linear Algebra}, volume = {20}, number = {11}, pages = {691--716}, year = {2010}, note = {http://arxiv.org/abs/0801.2987}, } @article{Guillot2010, author = {Pierre Guillot}, title = {The Computation of Stiefel-Whitney Classes}, journal = {Annales de l'institut Fourier}, volume = {60}, number = {2}, pages = {565--606}, year = {2010}, note = {http://arxiv.org/abs/0905.3121}, } @article{Hamalainen2008, author = {Carlo H\"am\"al\"ainen}, title = {Partitioning 3-homogeneous latin bitrades}, journal = {Geometriae Dedicata}, volume = {133}, number = {1}, pages = {181--193}, year = {2008}, note = {http://arxiv.org/abs/0710.0938}, } @misc{Hamalainen2009, author = {Carlo H\"am\"al\"ainen}, title = {Latin trades and simplicial complexes}, howpublished = {arXiv:0907.1481}, year = {2009}, note = {http://arxiv.org/abs/0907.1481}, } @misc{Hanke2011, author = {Jonathan Hanke}, title = {Explicit formulas for Masses of Ternary Quadratic Lattices of varying determinant over Number Fields}, howpublished = {arXiv:1109.1054}, year = {2011}, note = {http://arxiv.org/abs/1109.1054}, } @mastersthesis{Hansen2009, author = {David M\oller Hansen}, title = {Pairing-Based Cryptography: A Short Signature Scheme Using the Weil Pairing}, school = {Department of Mathematics}, address = {Danmarks Tekniske Universitet, Denmark}, year = {2009}, note = {http://www.sagemath.org/files/thesis/hansen-thesis-2009.pdf}, } @article{HarringtonEtAl2012, author = {Heather A. Harrington and Kenneth L. Ho and Thomas Thorne and Michael P.H. Stumpf}, title = {Parameter-free model discrimination criterion based on steady-state coplanarity}, journal = {Proceedings of the National Academy of Sciences USA}, volume = {109}, number = {39}, pages = {15746--15751}, year = {2012}, note = {http://dx.doi.org/10.1073/pnas.1117073109}, } @article{Harvey2007, author = {David Harvey}, title = {Kedlaya's Algorithm in Larger Characteristic}, journal = {International Mathematics Research Notices}, volume = {2007}, number = {rnm095}, pages = {rnm095--29}, year = {2007}, note = {http://arxiv.org/abs/math/0610973}, } @article{Harvey2008A, author = {David Harvey}, title = {Efficient Computation of $p$-adic Heights}, journal = {LMS Journal of Computation and Mathematics}, volume = {11}, pages = {40--59}, year = {2008}, note = {http://www.lms.ac.uk/jcm/11/lms2007-043}, } @phdthesis{Harvey2008B, author = {David Harvey}, title = {Algorithms for $p$-adic cohomology and $p$-adic heights}, school = {Department of Mathematics}, address = {Harvard University, USA}, year = {2008}, note = {http://www.sagemath.org/files/thesis/harvey-thesis-2008.pdf}, } @article{Harvey2009, author = {David Harvey}, title = {A cache-friendly truncated FFT}, journal = {Theoretical Computer Science}, volume = {410}, number = {27-29}, pages = {2649--2658}, year = {2009}, note = {http://arxiv.org/abs/0810.3203}, } @article{Harvey2010, author = {David Harvey}, title = {A multimodular algorithm for computing Bernoulli numbers}, journal = {Mathematics of Computation}, volume = {79}, pages = {2361--2370}, year = {2010}, note = {http://arxiv.org/abs/0807.1347}, } @incollection{HillarEtAl2010, author = {Christopher Hillar and Luis Garcia-Puente and Abraham Martin del Campo and James Ruffo and Zach Teitler and Stephen L. Johnson and Frank Sottile}, title = {Experimentation at the Frontiers of Reality in Schubert Calculus}, editor = {Tewodros Amdeberhan and Luis A. Medina and Victor H. Moll}, booktitle = {Gems in Experimental Mathematics}, series = {Contemporary Mathematics}, volume = {517}, pages = {364--380}, publisher = {American Mathematical Society}, year = {2010}, note = {http://arxiv.org/abs/0906.2497}, } @inproceedings{HivertEtAl2010, author = {Florent Hivert and Anne Schilling and Nicolas M. Thi{\'e}ry}, title = {The biHecke Monoid of A Finite Coxeter Group}, booktitle = {Proceedings of the 22nd International Conference on Formal Power Series and Algebraic Combinatorics}, series = {Discrete Mathematics \& Theoretical Computer Science}, volume = {AN}, pages = {307--318}, year = {2010}, note = {http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAN0116}, } @misc{HivertEtAl2012, author = {Florent Hivert and Anne Schilling and Nicolas M. Thi{\'e}ry}, title = {The bi{H}ecke monoid of a finite {C}oxeter group and its representations}, howpublished = {arXiv:1012.1361}, year = {2012}, note = {http://arxiv.org/abs/1012.1361}, } @article{HoHarrington2010, author = {Kenneth L. Ho and Heather A. Harrington}, title = {Bistability in Apoptosis by Receptor Clustering}, journal = {PLoS Computational Biology}, volume = {6}, number = {10}, pages = {e1000956}, year = {2010}, note = {http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1000956}, } @article{Hoge2012, author = {Torsten Hoge}, title = {A presentation of the trace algebra of three 3x3 matrices}, journal = {Journal of Algebra}, volume = {358}, pages = {257--268}, year = {2012}, note = {http://arxiv.org/abs/1104.0904}, } @article{Hopkins2010, author = {Kimberly Hopkins}, title = {Higher-Weight Heegner Points}, journal = {Experimental Mathematics}, volume = {19}, number = {3}, year = {2010}, pages = {257--266}, note = {http://arxiv.org/abs/0904.1141}, } @article{Ingram2009, author = {Patrick Ingram}, title = {Multiples of Integral Points on Elliptic Curves}, journal = {Journal of Number Theory}, volume = {129}, number = {1}, pages = {182--208}, year = {2009}, note = {http://arxiv.org/abs/0802.2651}, } @article{JohnsonNoel2010, author = {Niles Johnson and Justin Noel}, title = {For Complex Orientations Preserving Power Operations, $p$-typicality is Atypical}, journal = {Topology and its Applications}, volume = {157}, number = {14}, pages = {2271--2288}, year = {2010}, note = {http://arxiv.org/abs/0910.3187}, } @article{Jones2009, author = {Benjamin F. Jones}, title = {Singular Chern Classes of Schubert Varieties via Small Resolution}, journal = {International Mathematics Research Notices}, volume = {2010}, number = {8}, pages = {1371--1416}, year = {2009}, note = {http://arxiv.org/abs/0804.0202}, } @article{JonesSchilling2010, author = {Brant Jones and Anne Schilling}, title = {Affine Structures and a Tableau Model for $E_6$ Crystals}, journal = {Journal of Algebra}, volume = {324}, number = {9}, pages = {2512--2542}, year = {2010}, note = {http://arxiv.org/abs/0909.2442}, } @article{Joyner2008A, author = {David Joyner}, title = {On Quadratic Residue Codes and Hyperelliptic Curves}, journal = {Discrete Mathematics \& Theoretical Computer Science}, volume = {10}, number = {1}, pages = {129--146}, year = {2008}, note = {http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/606}, } @book{Joyner2008B, author = {David Joyner}, title = {Adventures with Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys}, edition = {2nd}, publisher = {The Johns Hopkins University Press}, year = {2008}, note = {http://jhupbooks.press.jhu.edu/ecom/MasterServlet/GetItemDetailsHandler?iN=9780801890130&qty=1&viewMode=3&loggedIN=false&JavaScript=y}, } @inproceedings{Joyner2008C, author = {David Joyner}, title = {A Primer on Computational Group Homology and Cohomology Using GAP and SAGE}, editor = {Benjamin Fine and Gerhard Rosenberger and Dennis Spellman}, booktitle = {Proceedings of the Gaglione Conference on Aspects of Infinite Groups}, publisher = {World Scientific}, pages = {159--191}, year = {2008}, note = {http://arxiv.org/abs/0706.0549}, } @book{JoynerHampton2012, author = {David Joyner and Marshall Hampton}, title = {Introduction to Differential Equations Using Sage}, publisher = {Johns Hopkins University Press}, year = {2012}, note = {http://jhupbooks.press.jhu.edu/ecom/MasterServlet/GetItemDetailsHandler?iN=9781421406374&qty=1&source=2&viewMode=3}, } @book{JoynerKim2011, author = {David Joyner and Jon-Lark Kim}, title = {Selected Unsolved Problems in Coding Theory}, publisher = {Birkh\"auser}, year = {2011}, note = {http://www.amazon.com/Selected-Unsolved-Problems-Numerical-Harmonic/dp/0817682554}, } @incollection{JoynerKohel2008, author = {David Joyner and David Kohel}, title = {Group Theory in SAGE}, editor = {Luise-Charlotte Kappe and Arturo Magidin and Robert Morse}, booktitle = {Computational Group Theory and the Theory of Groups}, pages = {115--140}, publisher = {American Mathematical Society}, year = {2008}, note = {http://sage.math.washington.edu/home/wdj/expository}, } @article{JoynerKsir2006, author = {David Joyner and Amy Ksir}, title = {Automorphism Groups of Some AG codes}, journal = {IEEE Transactions on Information Theory}, volume = {52}, pages = {3325--3329}, year = {2006}, note = {http://sage.math.washington.edu/home/wdj/research}, } @article{JoynerStein2007, author = {David Joyner and William Stein}, title = {Open Source Mathematical Software}, journal = {Notices of the AMS}, volume = {54}, number = {10}, pages = {1279}, year = {2007}, note = {http://www.ams.org/notices/200710}, } @article{KaneSivek2008, author = {Daniel Kane and Steven Sivek}, title = {On the $S_n$-modules Generated by Partitions of a Given Shape}, journal = {Electronic Journal of Combinatorics}, volume = {15}, number = {1}, year = {2008}, note = {http://www.combinatorics.org/Volume_15/Abstracts/v15i1r111.html}, } @incollection{Kedlaya2008, author = {Kiran S. Kedlaya}, title = {Search Techniques for Root-Unitary Polynomials}, editor = {Kristin E. Lauter and Kenneth A. Ribet}, booktitle = {Computational Arithmetic Geometry}, pages = {71--81}, publisher = {American Mathematical Society}, year = {2008}, note = {http://arxiv.org/abs/math/0608104}, } @inproceedings{KedlayaSutherland2008, author = {Kiran S. Kedlaya and Andrew V. Sutherland}, title = {Computing $L$-Series of Hyperelliptic Curves}, editor = {Alfred J. van der Poorten and Andreas Stein}, booktitle = {Proceedings of the 8th International Symposium on Algorithmic Number Theory}, publisher = {Springer}, series = {Lecture Notes in Computer Science}, volume = {5011}, pages = {312--326}, year = {2008}, note = {http://arxiv.org/abs/0801.2778}, } @article{KheyfetsMukhin2011, author = {B. B. Kheyfets and S. I. Mukhin}, title = {Entropic Part of the Boundary Energy in a Lipid Membrane}, journal = {Biochemistry (Moscow) Supplement Series A: Membrane and Cell Biology}, volume = {5}, number = {4}, pages = {392--399}, year = {2011}, } @book{Kilford2008, author = {L. J. P. Kilford}, title = {Modular Forms: A Classical and Computational Introduction}, publisher = {Imperial College Press}, year = {2008}, note = {http://www.icpress.co.uk/mathematics/p564.html}, } @article{KilfordMcMurdy2012, author = {L. J. P. Kilford and Ken McMurdy}, title = {Slopes of the $U_7$ operator acting on a space of overconvergent modular forms}, journal = {LMS Journal of Computation and Mathematics}, volume = {15}, number = {May}, pages = {113--139}, year = {2012}, note = {http://journals.cambridge.org/abstract_S1461157012000095}, } @article{KingEtAl2011, author = {Simon A. King and David Green and Graham Ellis}, title = {The mod-2 cohomology ring of the third Conway group is Cohen-Macaulay}, journal = {Algebraic \& Geometric Topology}, volume = {11}, number = {2}, pages = {719--734}, year = {2011}, note = {http://dx.doi.org/10.2140/agt.2011.11.719}, } @article{King2013, author = {Simon A. King}, title = {Comparing completeness criteria for modular cohomology rings of finite groups}, journal = {Journal of Algebra}, volume = {374}, number = {1}, pages = {247--256}, year = {2013}, note = {http://arxiv.org/abs/1004.0736}, } @misc{Kluck2011, author = {Timo Kluck}, title = {On the Calogero-Moser solution by root-type Lax pair}, howpublished = {arXiv:1111.7163}, year = {2011}, note = {http://arxiv.org/abs/1111.7163}, } @unpublished{Kohel2008, author = {David R. Kohel}, title = {Cryptography}, month = {11th July}, year = {2008}, note = {http://www.sagemath.org/files/kohel-book-2008.pdf}, } @article{Kohel2011, author = {David Kohel}, title = {Addition law structure of elliptic curves}, journal = {Journal of Number Theory}, volume = {131}, number = {5}, pages = {894--919}, year = {2011}, note = {http://arxiv.org/abs/1005.3623}, } @article{KooEtAl2008, author = {Koopa Koo and William Stein and Gabor Wiese}, title = {On the Generation of the Coefficient Field of a Newform by a Single Hecke Eigenvalue}, journal = {Journal de Th\'eorie des Nombres de Bordeaux}, volume = {20}, number = {2}, pages = {373--384}, year = {2008}, note = {http://www.wstein.org/papers/heckepoly}, } @misc{KoprowskiCzogala2013, author = {Przemys\law Koprowski and Alfred Czoga\la}, title = {Computing with quadratic forms over number fields}, howpublished = {arXiv:1304.0708}, year = {2013}, note = {http://arxiv.org/abs/1304.0708}, } @unpublished{Kosan2008, author = {Ted Kosan}, title = {SAGE For Newbies}, month = {February}, year = {2008}, note = {http://sage.math.washington.edu/home/tkosan/newbies_book/}, } @inproceedings{KurthLong2007, author = {Chris A. Kurth and Ling Long}, title = {Computations with Finite Index Subgroups of $PSL_2(\mathbb Z)$ Using Farey Symbols}, editor = {K. P. Shum and E. Zelmanov and Jiping Zhang and Li Shangzhi}, booktitle = {Proceedings of the Second International Congress in Algebra and Combinatorics}, publisher = {World Scientific}, pages = {225--242}, year = {2007}, note = {http://arxiv.org/abs/0710.1835}, } @mastersthesis{Laarakker2009, author = {Avra Laarakker}, title = {Topological Properties of Tiles and Digit Sets}, school = {Acadia University}, address = {Canada}, year = {2009}, note = {http://www.sagemath.org/files/thesis/laarakker-thesis-2009.pdf} } @article{LamEtAl2010, author = {Thomas Lam and Anne Schilling and Mark Shimozono}, title = {$K$-theory Schubert Calculus of the Affine Grassmannian}, journal = {Compositio Mathematica}, volume = {146}, number = {4}, pages = {811--852}, year = {2010}, note = {http://arxiv.org/abs/0901.1506}, } @book{LamEtAl2013, author = {Thomas Lam and Luc Lapointe and Jennifer Morse and Anne Schilling and Mark Shimozono and Mike Zabrocki}, title = {$k$-{S}chur functions and affine {S}chubert calculus}, publisher = {arxiv}, year = {2013}, note = {http://arxiv.org/abs/1301.3569}, } @mastersthesis{LaraRodriguez2009, author = {Jos\'e Alejandro Lara Rodr\'iguez}, title = {Some conjectures and results about multizeta values for $\mathbb{F}_q[t]$}, school = {Universidad Aut\'onoma de Yucat\'an}, address = {Mexico}, year = {2009}, } @article{LaraRodriguez2010, author = {Jos\'e Alejandro Lara Rodr\'iguez}, title = {Some conjectures and results about multizeta values for $\mathbb{F}_q[t]$}, journal = {Journal of Number Theory}, volume = {130}, number = {4}, pages = {1013--1023}, year = {2010}, note = {http://dx.doi.org/10.1016/j.jnt.2009.08.001}, } @article{LaraRodriguez2011a, author = {Jos\'e Alejandro Lara Rodr\'iguez}, title = {Relations between multizeta values in characteristic $p$}, journal = {Journal of Number Theory}, volume = {131}, number = {11}, pages = {2081--2099}, year = {2011}, note = {http://arxiv.org/abs/1108.4725}, } @misc{LaraRodriguez2011b, author = {Jos\'e Alejandro Lara Rodr\'iguez}, title = {Special relations between multizeta values and parity results}, howpublished = {arXiv:1108.4726}, year = {2011}, note = {http://arxiv.org/abs/1108.4726}, } @article{LaraRodriguez2012, author = {Jos\'e Alejandro Lara Rodr\'iguez}, title = {On von Staudt for Bernoulli-Carlitz numbers}, journal = {Journal of Number Theory}, volume = {132}, number = {4}, pages = {495--501}, year = {2012}, note = {http://dx.doi.org/10.1016/j.jnt.2011.12.005}, } @misc{Lauder2011, author = {Alan Lauder}, title = {Computations with classical and p-adic modular forms}, howpublished = {Home page of Alan Lauder}, year = {2011}, note = {http://people.maths.ox.ac.uk/lauder/}, } @article{LeSommerEtAl2011, author = {J. {Le Sommer} and F. d'Ovidio and G. Madec}, title = {Parameterization of subgrid stirring in eddy resolving ocean models. Part 1: Theory and diagnostics}, journal = {Ocean Modelling}, volume = {39}, number = {1-2}, pages = {154--169}, year = {2011}, note = {http://dx.doi.org/10.1016/j.ocemod.2011.03.007}, } @misc{LenartEtAl2012a, author = {Cristian Lenart and Satoshi Naito and Daisuke Sagaki and Anne Schilling and Mark Shimozono}, title = {A uniform model for {K}irillov-{R}eshetikhin crystals. {E}xtended abstract}, howpublished = {arXiv:1211.6019}, year = {2012}, note = {http://arxiv.org/abs/1211.6019}, } @misc{LenartEtAl2012b, author = {Cristian Lenart and Satoshi Naito and Daisuke Sagaki and Anne Schilling and Mark Shimozono}, title = {A uniform model for {K}irillov-{R}eshetikhin crystals {I}: {L}ifting the parabolic quantum {B}ruhat graph}, howpublished = {arXiv:1211.2042}, year = {2012}, note = {http://arxiv.org/abs/1211.2042}, } @article{LenartSchilling2013, author = {Cristian Lenart and Anne Schilling}, title = {Crystal energy functions via the charge in types {A} and {C}}, journal = {Mathematische Zeitschrift}, volume = {273}, number = {1-2}, pages = {401--426}, year = {2013}, note = {http://arxiv.org/abs/1107.4169}, } @article{Loeffler2008, author = {David Loeffler}, title = {Explicit Calculations of Automorphic Forms for Definite Unitary Groups}, journal = {LMS Journal of Computation and Mathematics}, volume = {11}, pages = {326--342}, year = {2008}, note = {http://www.lms.ac.uk/jcm/11/lms2008-002}, } @book{Lozano-Robledo2011, author = {\'Alvaro Lozano-Robledo}, title = {Elliptic Curves, Modular Forms, and Their $L$-functions}, series = {Student Mathematical Library}, volume = {58}, publisher = {American Mathematical Society}, year = {2011}, note = {http://www.ams.org/bookstore-getitem/item=STML-58}, } @inproceedings{MaitraSarkar2008A, author = {Subhamoy Maitra and Santanu Sarkar}, title = {Revisiting Wiener's Attack -- New Weak Keys in RSA}, editor = {Tzong-ChenWu and Chin-Laung Lei and Vincent Rijmen and Der-Tsai Lee}, booktitle = {Proceedings of the 11th International Conference on Information Security}, publisher = {Springer}, series = {Lecture Notes in Computer Science}, volume = {5222}, pages = {228--243}, year = {2008}, note = {http://eprint.iacr.org/2008/228}, } @inproceedings{MaitraSarkar2008B, author = {Subhamoy Maitra and Santanu Sarkar}, title = {A New Class of Weak Encryption Exponents in RSA}, editor = {Dipanwita Roy Chowdhury and Vincent Rijmen and Abhijit Das}, booktitle = {Proceedings of the 9th International Conference on Cryptology in India Kharagpur}, publisher = {Springer}, series = {Lecture Notes in Computer Science}, volume = {5365}, pages = {337--349}, year = {2008}, note = {http://portal.acm.org/citation.cfm?id=1484936}, } @article{Marco-Buzunariz2012, author = {Miguel A. Marco-Buzun\'ariz}, title = {A polynomial generalization of the Euler characteristic for algebraic sets}, journal = {Journal of Singularities}, volume = {4}, pages = {114--130}, year = {2012}, note = {http://dx.doi.org/10.5427/jsing.2012.4g}, } @misc{Matiyasevich2012, author = {Yuri Matiyasevich}, title = {New Conjectures about Zeroes of {R}iemann's Zeta Function}, howpublished = {Technical Report MA12-03, Department of Mathematics, University of Leicester}, year = {2012}, note = {http://www2.le.ac.uk/departments/mathematics/research/research-reports-2/reports-2012/MA12_03Matiyasevich.pdf}, } @article{Mazur2006, author = {Barry Mazur}, title = {Controlling Our Errors}, journal = {Nature}, volume = {443}, number = {7}, pages = {38--40}, year = {2006}, note = {http://www.math.harvard.edu/~mazur}, } @article{Mazur2008, author = {Barry Mazur}, title = {Finding Meaning in Error Terms}, journal = {Bulletin of the American Mathematical Society}, volume = {45}, number = {2}, pages = {185--228}, year = {2008}, note = {http://www.ams.org/bull/2008-45-02/S0273-0979-08-01207-X/home.html}, } @book{McAndrew2011, author = {Alasdair McAndrew}, title = {Introduction to Cryptography with Open-Source Software}, publisher = {CRC Press}, year = {2011}, note = {http://www.amazon.com/Introduction-Cryptography-Open-Source-Mathematics-Applications/dp/143982570X/}, } @misc{McGown2010, author = {Kevin J. McGown}, title = {Norm-Euclidean Galois fields}, howpublished = {arXiv:1011.4501}, year = {2010}, note = {http://arxiv.org/abs/1011.4501}, } @misc{McLemanRasmussen2010, author = {Cam McLeman and Christopher Rasmussen}, title = {Class number formulas via 2-isogenies of elliptic curves}, howpublished = {arXiv:1008.4766}, year = {2010}, note = {http://arxiv.org/abs/1008.4766}, } @phdthesis{Miller2010A, author = {Robert L. Miller}, title = {Empirical Evidence for the Birch and Swinnerton-Dyer Conjecture}, school = {Department of Mathematics}, address = {University of Washington, USA}, year = {2010}, note = {http://www.sagemath.org/files/thesis/miller-thesis-2010.pdf}, } @misc{Miller2010B, author = {Robert L. Miller}, title = {Empirical evidence for the Birch and Swinnerton-Dyer formula over Q}, howpublished = {arXiv:1010.2431}, year = {2010}, note = {http://arxiv.org/abs/1010.2431}, } @misc{Moilanen2012, author = {Mikko Moilanen}, title = {Sageko Matlabin korvaaja?}, howpublished = {Mikkelin University of Applied Sciences, Finland}, year = {2012}, note = {http://www.sagemath.org/files/thesis/moilanen-thesis-2012.pdf Bachelor thesis} } @phdthesis{Moloney2011, author = {Richard Moloney}, title = {Divisibility Properties of Kloosterman Sums and Division Polynomials for Edwards Curves}, school = {School of Mathematical Sciences}, address = {University College Dublin, Ireland}, year = {2011}, note = {http://www.sagemath.org/files/thesis/moloney-thesis-2011.pdf}, } @misc{MoloneyEtAl2009, author = {Richard Moloney and Gary McGuire and Michael Markowitz}, title = {Elliptic Curves in Montgomery Form with B=1 and Their Low Order Torsion}, howpublished = {Cryptology ePrint Archive: Report 2009/213}, year = {2009}, note = {http://eprint.iacr.org/2009/213}, } @inproceedings{MorseSchilling2012, author = {Jennifer Morse and Anne Schilling}, title = {A combinatorial formula for fusion coefficients}, booktitle = {Proceedings of the 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)}, series = {Discrete Mathematics \& Theoretical Computer Science}, volume = {AR}, pages = {735--744}, note = {http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/viewArticle/dmAR0165}, year = {2012}, } @misc{MroczkowskiSzmidt2009, author = {Piotr Mroczkowski and Janusz Szmidt}, title = {Cube Attack on Courtois Toy Cipher}, howpublished = {Cryptology ePrint Archive, Report 2009/497}, year = {2009}, note = {http://eprint.iacr.org/2009/497}, } @article{MusikerStump2011, author = {Gregg Musiker and Christian Stump}, title = {A Compendium on the Cluster Algebra and Quiver Package in {S}age}, journal = {S{\'e}minaire Lotharingien de Combinatoire}, volume = {65}, number = {}, pages = {B65d}, year = {2011}, note = {http://www.emis.de/journals/SLC/wpapers/s65mustump.html}, } @misc{NakanishiStella2012, author = {Tomoki Nakanishi and Salvatore Stella}, title = {Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type}, howpublished = {arXiv:1210.6299}, year = {2012}, note = {http://arxiv.org/abs/1210.6299}, } @misc{Nguyen2009, author = {Minh Van Nguyen}, title = {Exploring Cryptography Using the Sage Computer Algebra System}, howpublished = {School of Engineering and Science, Victoria University, Australia}, year = {2009}, note = {http://www.sagemath.org/files/thesis/nguyen-thesis-2009.pdf BSc (Computer Science) Honours thesis} } @inproceedings{NguyenEtAl2012, author = {Minh Van Nguyen and Michael Kirley and Rodolfo Garc\'ia-Flores}, title = {Community Evolution in A Scientific Collaboration Network}, booktitle = {IEEE Congress on Evolutionary Computation}, publisher = {IEEE}, pages = {1--8}, year = {2012}, note = {https://bitbucket.org/mvngu/www/downloads/cec2012-final.pdf}, } @article{NovelliEtAl2010, author = {Jean-Christophe Novelli and Franco Saliola and Jean-Yves Thibon}, title = {Representation theory of the higher-order peak algebras}, journal = {Journal of Algebraic Combinatorics}, volume = {32}, number = {4}, pages = {465--495}, year = {2010}, note = {http://arxiv.org/abs/0906.5236}, } @phdthesis{Novoseltsev2011, author = {Andrey Yurievich Novoseltsev}, title = {Calabi-Yau Hypersurfaces and Complete Intersections in Toric Varieties}, school = {Department of Mathematical and Statistical Sciences}, address = {University of Alberta, Canada}, year = {2011}, note = {http://www.sagemath.org/files/thesis/novoseltsev-thesis-2011.pdf}, } @article{OkadoEtAl2013, author = {Masato Okado and Reiho Sakamoto and Anne Schilling}, title = {Affine crystal structure on rigged configurations of type D_n^(1)}, journal = {Journal of Algebraic Combinatorics}, volume = {37}, number = {3}, pages = {571--599}, year = {2013}, note = {http://arxiv.org/abs/1109.3523}, } @misc{OppermannThomas2010, author = {Steffen Oppermann and Hugh Thomas}, title = {Higher Dimensional Cluster Combinatorics and Representation Theory}, howpublished = {arXiv:1001.5437}, year = {2010}, note = {http://arxiv.org/abs/1001.5437}, } @article{OppermannEtAl2011a, author = {N. Oppermann and H. Junklewitz and G. Robbers and T. A. En\sslin}, title = {Probing magnetic helicity with synchrotron radiation and Faraday rotation}, journal = {Astronomy \& Astrophysics}, volume = {530}, number = {June}, pages = {A89}, year = {2011}, note = {http://arxiv.org/abs/1008.1246}, } @article{OppermannEtAl2011b, author = {Niels Oppermann and Georg Robbers and Torsten A. En\sslin}, title = {Reconstructing signals from noisy data with unknown signal and noise covariance}, journal = {Physical Review E}, volume = {84}, number = {4}, pages = {041118}, year = {2011}, note = {http://arxiv.org/abs/1107.2384}, } @misc{Palchak2010, author = {Elisabeth Palchak}, title = {A Criterion for Identifying Stressors in Non-Linear Equations Using Gr\"obner Bases}, howpublished = {Department of Mathematics, University of Southern Mississippi, USA}, year = {2010}, note = {Honors thesis}, } @article{Peck2011, author = {Robert W. Peck}, title = {A GAP Tutorial for Transformational Music Theory}, journal = {Music Theory Online}, volume = {17}, number = {1}, pages = {}, year = {2011}, note = {http://www.mtosmt.org/issues/mto.11.17.1/mto.11.17.1.peck.html}, } @misc{PenaTouchette2012, author = {Javier L\'opez Pe\tilde{n}a and Hugo Touchette}, title = {A network theory analysis of football strategies}, howpublished = {arXiv:1206.6904}, year = {2012}, note = {http://arxiv.org/abs/1206.6904}, } @article{PengEtAl2011, author = {Chao Peng and Haoxiang Zhang and Michael Stavola and W. Beall Fowler and Benjamin Esham and Stefan K. Estreicher and Andris Docaj and Lode Carnel and Mike Seacrist}, title = {Microscopic structure of a VH$_4$ center trapped by C in Si}, journal = {Physical Review B}, volume = {84}, number = {19}, pages = {195205}, year = {2011}, note = {http://prb.aps.org/abstract/PRB/v84/i19/e195205}, } @misc{PerkinsonEtAl2011, author = {David Perkinson and Jacob Perlman and John Wilmes}, title = {Primer for the algebraic geometry of sandpiles}, howpublished = {arXiv:1112.6163}, year = {2011}, note = {http://arxiv.org/abs/1112.6163}, } @article{PernetStein2010, author = {Cl\'ement Pernet and William Stein}, title = {Fast Computation of Hermite Normal Forms of Random Integer Matrices}, journal = {Journal of Number Theory}, volume = {130}, number = {7}, pages = {1675--1683}, year = {2010}, note = {http://www.wstein.org/papers/hnf}, } @article{PerottiBilloni2012, author = {Juan I. Perotti and Orlando V. Billoni}, title = {Smart random walkers: The cost of knowing the path}, journal = {Physical Review E}, volume = {86}, number = {1}, pages = {011120}, year = {2012}, note = {http://arxiv.org/abs/1202.5568}, } @misc{Pon2011a, author = {Steven Pon}, title = {Affine {S}tanley symmetric functions for classical types}, howpublished = {arXiv:1111.3312}, year = {2011}, note = {http://arxiv.org/abs/1111.3312}, } @article{Pons2011b, author = {Viviane Pons}, title = {Multivariate Polynomials in Sage}, journal = {S{\'e}minaire Lotharingien de Combinatoire}, volume = {66}, number = {7}, pages = {B66z}, year = {2011}, note = {http://www.emis.de/journals/SLC/wpapers/s66pons.html}, } @misc{RaichevWilson2010, author = {Alexander Raichev and Mark C. Wilson}, title = {Asymptotics of coefficients of multivariate generating functions: improvements for multiple points}, howpublished = {arXiv:1009.5715}, year = {2010}, note = {http://arxiv.org/abs/1009.5715}, } @misc{Raum2010, author = {Martin Raum}, title = {Efficiently Generated Spaces of Classical Siegel Modular Forms and the Boecherer Conjecture}, howpublished = {arXiv:1002.3883}, year = {2010}, note = {http://arxiv.org/abs/1002.3883}, } @misc{Risse2011, author = {Thomas Risse}, title = {How {SAGE} helps to implement {G}oppa Codes and {M}c{E}liece {PKCS}s}, howpublished = {Home page of Thomas Risse}, year = {2011}, note = {http://www.weblearn.hs-bremen.de/risse/papers/ICIT11/526_ICIT11_Risse.pdf}, } @mastersthesis{Ruotsalainen2011, author = {Lauri Ruotsalainen}, title = {Sage-Ohjelmisto Lukion Matematiikan Opetuksessa}, school = {Department of Mathematics}, address = {University of Turku, Finland}, year = {2011}, note = {http://www.sagemath.org/files/thesis/ruotsalainen-thesis-2011.pdf} } @inproceedings{SchillingTingley2011a, author = {Anne Schilling and Peter Tingley}, title = {Demazure crystals and the energy function}, booktitle = {Proceedings of the 23rd International Conference on Formal Power Series and Algebraic Combinatorics}, series = {Discrete Mathematics \& Theoretical Computer Science}, volume = {AO}, pages = {861--872}, note = {http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAO0175}, year = {2011}, } @article{SchillingTingley2012, author = {Anne Schilling and Peter Tingley}, title = {Demazure Crystals, Kirillov-Reshetikhin Crystals, and the Energy Function}, journal = {The Electronic Journal of Combinatorics}, volume = {19}, number = {2}, pages = {P4}, year = {2012}, note = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v19i2p4}, } @article{SchillingWang2010, author = {Anne Schilling and Qiang Wang}, title = {Promotion Operator on Rigged Configurations of Type A}, journal = {The Electronic Journal of Combinatorics}, volume = {17}, number = {1}, pages = {R24}, year = {2010}, note = {http://www.combinatorics.org/Volume_17/Abstracts/v17i1r24.html}, } @misc{Schneider2011, author = {Michael Schneider}, title = {Sieving for Shortest Vectors in Ideal Lattices}, howpublished = {Cryptology ePrint Archive: Report 2011/458}, year = {2011}, note = {http://eprint.iacr.org/2011/458}, } @article{SchymanskiEtAl2010, author = {Stanislaus J. Schymanski and Axel Kleidon and Marc Stieglitz and Jatin Narula}, title = {Maximum entropy production allows a simple representation of heterogeneity in semiarid ecosystems}, journal = {Philosophical Transactions of the Royal Society B}, volume = {365}, pages = {1449--1455}, year = {2010}, note = {http://rstb.royalsocietypublishing.org/content/365/1545/1449.full.html}, } @inproceedings{Seljebotn2009, author = {Dag Sverre Seljebotn}, title = {Fast Numerical Computations with Cython}, editor = {Ga\"el Varoquaux and St\'efan van der Walt and K. Jarrod Millman}, booktitle = {SciPy 2009: Proceedings of the 8th Python in Science Conference}, pages = {15--22}, year = {2009}, note = {http://conference.scipy.org/proceedings/SciPy2009/paper_2}, } @mastersthesis{Shumow2009, author = {Daniel Shumow}, title = {Isogenies of Elliptic Curves: A Computational Approach}, school = {Department of Mathematics}, address = {University of Washington, USA}, year = {2009}, note = {http://www.sagemath.org/files/thesis/shumow-thesis-2009.pdf} } @inproceedings{SolinEtAl2009, author = {Pavel Solin and Ondrej Certik and Sameer Regmi}, title = {The FEMhub Project and Classroom Teaching of Numerical Methods}, editor = {Ga\"el Varoquaux and St\'efan van der Walt and K. Jarrod Millman}, booktitle = {SciPy 2009: Proceedings of the 8th Python in Science Conference}, pages = {58--61}, year = {2009}, note = {http://conference.scipy.org/proceedings/SciPy2009/paper_9}, } @incollection{SondowSchalm2008, author = {Jonathan Sondow and Kyle Schalm}, title = {Which Partial Sums of the Taylor Series for $e$ are convergents to $e$? (and a Link to the Primes 2, 5, 13, 37, 463)}, editor = {T. Amdeberhan and V. Moll}, booktitle = {Tapas in Experimental Mathematics}, pages = {273--284}, publisher = {American Mathematical Society}, year = {2008}, note = {http://arxiv.org/abs/0709.0671}, } @article{Spies2006, author = {Jaap Spies}, title = {Dancing School Problems}, journal = {Nieuw Archief voor Wiskunde}, volume = {5/7}, number = {4}, pages = {283--285}, year = {2006}, note = {http://www.jaapspies.nl/mathfiles/dancingschool.pdf}, } @book{Stallings2014, author = {William Stallings}, title = {Cryptography and Network Security: Principles and Practice}, edition = {6th}, publisher = {Prentice Hall}, year = {2014}, note = {http://williamstallings.com/Cryptography/}, } @book{Stein2007, author = {William Stein}, title = {Modular Forms: A Computational Approach}, publisher = {American Mathematical Society}, year = {2007}, note = {http://www.ams.org/bookstore-getitem/item=gsm-79}, } @book{Stein2008A, author = {William Stein}, title = {Elementary Number Theory: Primes, Congruences, and Secrets}, publisher = {Springer}, year = {2008}, note = {http://www.wstein.org/ent}, } @inproceedings{Stein2008B, author = {William Stein}, title = {Can We Create A Viable Free Open Source Alternative to Magma, Maple, Mathematica and Matlab?}, editor = {J. Rafael Sendra and Laureano Gonz\'alez-Vega}, booktitle = {ISSAC 2008: Proceedings of the International Symposium on Symbolic and Algebraic Computation}, publisher = {Association for Computing Machinery}, pages = {5--6}, year = {2008}, note = {http://portal.acm.org/citation.cfm?id=1390771}, } @article{Stein2010, author = {William Stein}, title = {Toward a Generalization of the Gross-Zagier Conjecture}, journal = {International Mathematics Research Notices}, volume = {2010}, number = {24}, pages = {rnq075v1--rnq075}, year = {2010}, note = {http://www.wstein.org/papers/stein-ggz}, } @article{SteinJoyner2005, author = {William Stein and David Joyner}, title = {{SAGE}: System for Algebra and Geometry Experimentation}, journal = {ACM SIGSAM Bulletin}, volume = {39}, number = {2}, pages = {61--64}, year = {2005}, note = {http://www.sagemath.org/files/sage_stein2005.pdf}, } @misc{SteinWuthrich2009, author = {William Stein and Christian Wuthrich}, title = {Computations About Tate-Shafarevich Groups Using Iwasawa Theory}, howpublished = {Home page of William Stein}, year = {2009}, note = {http://wstein.org/papers/shark}, } @book{SteinEtAl2009, author = {William Stein and others}, title = {Sage Tutorial}, publisher = {CreateSpace}, year = {2009}, note = {http://www.amazon.com/Sage-tutorial-version-3-4-Group/dp/1442141948/ref=sr_1_2?ie=UTF8&s=books&qid=1261010025&sr=1-2}, } @book{Stix2013, author = {Jakob Stix}, title = {Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture}, publisher = {Springer}, year = {2013}, note = {http://link.springer.com/book/10.1007/978-3-642-30674-7/}, } @phdthesis{Streng2010, author = {Marco Streng}, title = {Complex multiplication of abelian surfaces}, school = {Thomas Stieltjes Institute for Mathematics}, address = {Universiteit Leiden, The Netherlands}, year = {2010}, note = {http://www.sagemath.org/files/thesis/streng-thesis-2010.pdf}, } @phdthesis{Taylor2010, author = {Graeme Taylor}, title = {Cyclotomic Matrices and Graphs}, school = {School of Mathematics}, address = {University of Edinburgh, UK}, year = {2010}, note = {http://www.sagemath.org/files/thesis/taylor-thesis-2010.pdf}, } @misc{Thiery2009, author = {Nicolas M. Thi\'ery}, title = {Sage-Combinat, Free and Practical Software for Algebraic Combinatorics}, howpublished = {Software demonstration, FPSAC'09, Hagenberg, Austria}, year = {2009}, note = {http://wiki.sagemath.org/combinat?action=AttachFile&do=get&target=2009-07-20-FPSAC.pdf} } @misc{ThomaeWolf2011, author = {Enrico Thomae and Christopher Wolf}, title = {Roots of Square: Cryptanalysis of DoubleLayer Square and Square+}, howpublished = {Cryptology ePrint Archive: Report 2011/431}, year = {2011}, note = {http://eprint.iacr.org/2011/431}, } @inproceedings{VelichkovEtAl2009, author = {Vesselin Velichkov and Vincent Rijmen and Bart Preneel}, title = {Algebraic Cryptanalysis of a Small-Scale Version of Stream Cipher LEX}, booktitle = {Proceedings of the 30th Symposium on Information Theory in the Benelux}, publisher = {Werkgemeenschap voor Informatieen Communicatietheorie}, year = {2009}, note = {http://www.cosic.esat.kuleuven.be/publications/article-1225.pdf}, } @inproceedings{Voight2008, author = {John Voight}, title = {Enumeration of Totally Real Number Fields of Bounded Root Discriminant}, editor = {Alfred J. van der Poorten and Andreas Stein}, booktitle = {Proceedings of the 8th International Symposium on Algorithmic Number Theory}, publisher = {Springer}, series = {Lecture Notes in Computer Science}, volume = {5011}, pages = {268--281}, year = {2008}, note = {http://arxiv.org/abs/0802.0194}, } @book{Washington2008, author = {Lawrence C. Washington}, title = {Elliptic Curves: Number Theory and Cryptography}, edition = {2nd}, publisher = {Chapman \& Hall/CRC}, year = {2008}, note = {http://www-users.math.umd.edu/~lcw/ellipticcurves.html}, } @phdthesis{Weinmann2009, author = {Ralf-Philipp Weinmann}, title = {Algebraic Methods in Block Cipher Cryptanalysis}, school = {Department of Computer Science}, address = {Technischen Universit\"at Darmstadt, Germany}, year = {2009}, note = {http://www.sagemath.org/files/thesis/weinmann-thesis-2009.pdf}, } @misc{WongEtAl2009, author = {Kenneth Koon-Ho Wong and Gregory V. Bard and Robert H. Lewis}, title = {Partitioning Multivariate Polynomial Equations via Vertex Separators for Algebraic Cryptanalysis and Mathematical Applications}, howpublished = {Cryptology ePrint Archive: Report 2009/343}, year = {2009}, note = {http://eprint.iacr.org/2009/343}, } @mastersthesis{Yu2010, author = {Miao Yu}, title = {An F4-Style Involutive Basis Algorithm}, school = {Department of Mathematics}, address = {University of Southern Mississippi, USA}, year = {2010}, }