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{http://jhupbooks.press.jhu.edu/ecom/MasterServlet/GetItemDetailsHandler?iN=9780801890130&qty=1&viewMode=3&loggedIN=false&JavaScript=y}, title = {Adventures with Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys}, } @inproceedings{Joyner2008C, author = {Joyner, David}, editor = {Fine, Benjamin and Rosenberger, Gerhard and Spellman, Dennis}, publisher = {World Scientific}, booktitle = {Proceedings of the Gaglione Conference on Aspects of Infinite Groups}, date = {2008}, note = {http://arxiv.org/abs/0706.0549}, pages = {159--191}, title = {A Primer on Computational Group Homology and Cohomology Using GAP and SAGE}, } @book{JoynerHampton2012, author = {Joyner, David and Hampton, Marshall}, publisher = {Johns Hopkins University Press}, date = {2012}, note = {http://jhupbooks.press.jhu.edu/ecom/MasterServlet/GetItemDetailsHandler?iN=9781421406374&qty=1&source=2&viewMode=3}, title = {Introduction to Differential Equations Using Sage}, } @book{JoynerKim2011, author = {Joyner, David and Kim, Jon-Lark}, publisher = {Birkhäuser}, date = {2011}, note = {http://www.amazon.com/Selected-Unsolved-Problems-Numerical-Harmonic/dp/0817682554}, title = {Selected Unsolved Problems in Coding Theory}, } @incollection{JoynerKohel2008, author = {Joyner, David and Kohel, David}, editor = {Kappe, Luise-Charlotte and Magidin, Arturo and Morse, Robert}, publisher = {American Mathematical Society}, booktitle = {Computational Group Theory and the Theory of Groups}, date = {2008}, note = {http://sage.math.washington.edu/home/wdj/expository}, pages = {115--140}, title = {Group Theory in SAGE}, } @article{JoynerKsir2006, author = {Joyner, David and Ksir, Amy}, date = {2006}, journaltitle = {IEEE Transactions on Information Theory}, note = {http://sage.math.washington.edu/home/wdj/research}, pages = {3325--3329}, title = {Automorphism Groups of Some AG codes}, volume = {52}, } @article{JoynerStein2007, author = {Joyner, David and Stein, William}, date = {2007}, journaltitle = {Notices of the AMS}, note = {http://www.ams.org/notices/200710}, number = {10}, pages = {1279}, title = {Open Source Mathematical Software}, volume = {54}, } @article{KaneSivek2008, author = {Kane, Daniel and Sivek, Steven}, date = {2008}, journaltitle = {Electronic Journal of Combinatorics}, note = {http://www.combinatorics.org/Volume_15/Abstracts/v15i1r111.html}, number = {1}, title = {On the $S_n$-modules Generated by Partitions of a Given Shape}, volume = {15}, } @misc{KarnNasrProudfootVecchi22, author = {Karn, Trevor and Nasr, George and Proudfoot, Nicholas and Vecchi, Lorenzo}, date = {2022}, howpublished = {arXiv:2202.06938}, note = {http://arxiv.org/abs/2202.06938}, title = {Equivariant {K}azhdan-{L}usztig theory of paving matroids}, } @article{Kaplan2012, author = {Kaplan, Nathan}, date = {2012}, journaltitle = {Journal of Pure and Applied Algebra}, note = {http://dx.doi.org/10.1016/j.jpaa.2011.10.038}, number = {5}, pages = {1016--1032}, title = {Counting numerical semigroups by genus and some cases of a question of Wilf}, volume = {216}, } @incollection{Kedlaya2008, author = {Kedlaya, Kiran S.}, editor = {Lauter, Kristin E. and Ribet, Kenneth A.}, publisher = {American Mathematical Society}, booktitle = {Computational Arithmetic Geometry}, date = {2008}, note = {http://arxiv.org/abs/math/0608104}, pages = {71--81}, title = {Search Techniques for Root-Unitary Polynomials}, } @inproceedings{KedlayaSutherland2008, author = {Kedlaya, Kiran S. and Sutherland, Andrew V.}, editor = {van der Poorten, Alfred J. and Stein, Andreas}, publisher = {Springer}, booktitle = {Proceedings of the 8th International Symposium on Algorithmic Number Theory}, date = {2008}, note = {http://arxiv.org/abs/0801.2778}, pages = {312--326}, series = {Lecture Notes in Computer Science}, title = {Computing $L$-Series of Hyperelliptic Curves}, volume = {5011}, } @article{KheyfetsMukhin2011, author = {Kheyfets, B. B. and Mukhin, S. I.}, date = {2011}, journaltitle = {Biochemistry (Moscow) Supplement Series A: Membrane and Cell Biology}, number = {4}, pages = {392--399}, title = {Entropic Part of the Boundary Energy in a Lipid Membrane}, volume = {5}, } @book{Kilford2008, author = {Kilford, L. J. P.}, publisher = {Imperial College Press}, date = {2008}, note = {http://www.icpress.co.uk/mathematics/p564.html}, title = {Modular Forms: A Classical and Computational Introduction}, } @article{KilfordMcMurdy2012, author = {Kilford, L. J. P. and McMurdy, Ken}, date = {2012}, journaltitle = {LMS Journal of Computation and Mathematics}, note = {http://journals.cambridge.org/abstract_S1461157012000095}, number = {May}, pages = {113--139}, title = {Slopes of the $U_7$ operator acting on a space of overconvergent modular forms}, volume = {15}, } @inproceedings{Kimura2010, author = {Kimura, Iwao}, editor = {Kida, M. and Suwa, N. and Kobayashi, S.}, publisher = {RIMS}, booktitle = {Algebraic Number Theory and Related Topics}, date = {2010}, note = {http://hdl.handle.net/10110/8946}, pages = {125--144}, series = {RIMS Kôkyûroku Bessatsu}, title = {Sage for number theorists (Japanese)}, volume = {B32}, } @article{KingEtAl2011, author = {King, Simon A. and Green, David and Ellis, Graham}, date = {2011}, journaltitle = {Algebraic \& Geometric Topology}, note = {http://dx.doi.org/10.2140/agt.2011.11.719}, number = {2}, pages = {719--734}, title = {The mod-2 cohomology ring of the third Conway group is Cohen-Macaulay}, volume = {11}, } @article{King2013, author = {King, Simon A.}, date = {2013}, journaltitle = {Journal of Algebra}, note = {http://arxiv.org/abs/1004.0736}, number = {1}, pages = {247--256}, title = {Comparing completeness criteria for modular cohomology rings of finite groups}, volume = {374}, } @misc{KingPressland2014, author = {King, Alastair and Pressland, Matthew}, date = {2014}, howpublished = {arXiv:1309.6579}, note = {http://arxiv.org/abs/1309.6579}, title = {Labelled Seeds and Global Mutations}, } @article{KLee2022, title = {Base Field Extension of {AG} Codes for Decoding}, author = {Lee, Kwankyu}, journal = {IEEE Transactions on Information Theory}, volume = {68}, number = {6}, year = {2022}, pages = {3740--3743}, publisher = {IEEE}, } @article{KlerkEtAl2013, author = {de Klerk, E. and Pasechnik, D. V. and Salazar, G.}, date = {2013}, doi = {10.1137/120886777}, issn = {0895-4801}, journaltitle = {SIAM J. Discrete Math.}, number = {2}, pages = {619--633}, title = {Improved lower bounds on book crossing numbers of complete graphs}, volume = {27}, } @misc{Kluck2011, author = {Kluck, Timo}, date = {2011}, howpublished = {arXiv:1111.7163}, note = {http://arxiv.org/abs/1111.7163}, title = {On the Calogero-Moser solution by root-type Lax pair}, } @InProceedings{Koeppe2024ICMS, author = {K{\"o}ppe, Matthias}, editor = {Buzzard, Kevin and Dickenstein, Alicia and Eick, Bettina and Leykin, Anton and Ren, Yue}, title = {The Reformation of Sage}, booktitle = {Mathematical Software -- ICMS 2024}, year = 2024, publisher = {Springer Nature Switzerland}, address = {Cham}, pages = {3--11}, isbn = {978-3-031-64529-7}, doi = {https://doi.org/10.1007/978-3-031-64529-7_1}, } @article{zhou:extreme-notes, abstract = {In this note we announce the availability of an electronic compendium of extreme functions for Gomory--Johnson's infinite group problem. These functions serve as the strongest cut-generating functions for integer linear optimization problems. We also close several gaps in the literature.}, author = {Köppe, Matthias and Zhou, Yuan}, annotation = {in basu-hildebrand-koeppe-papers/yuan/extreme-notes/extreme-notes.tex}, date = {2015}, doi = {10.1016/j.orl.2015.06.004}, issn = {0167-6377}, journaltitle = {Operations Research Letters}, keywords = {Software}, number = {4}, pages = {438--444}, title = {An electronic compendium of extreme functions for the Gomory--Johnson infinite group problem}, volume = {43}, } @unpublished{Kohel2008, author = {Kohel, David R.}, date = {2008-11}, note = {http://www.sagemath.org/files/kohel-book-2008.pdf}, title = {Cryptography}, } @article{Kohel2011, author = {Kohel, David}, date = {2011}, journaltitle = {Journal of Number Theory}, note = {http://arxiv.org/abs/1005.3623}, number = {5}, pages = {894--919}, title = {Addition law structure of elliptic curves}, volume = {131}, } @article{KooEtAl2008, author = {Koo, Koopa and Stein, William and Wiese, Gabor}, date = {2008}, journaltitle = {Journal de Théorie des Nombres de Bordeaux}, note = {http://www.wstein.org/papers/heckepoly}, number = {2}, pages = {373--384}, title = {On the Generation of the Coefficient Field of a Newform by a Single Hecke Eigenvalue}, volume = {20}, } @misc{KoprowskiCzogala2013, author = {Koprowski, Przemys\law and Czoga\la, Alfred}, date = {2013}, howpublished = {arXiv:1304.0708}, note = {http://arxiv.org/abs/1304.0708}, title = {Computing with quadratic forms over number fields}, } @unpublished{Kosan2008, author = {Kosan, Ted}, date = {2008-02}, note = {http://sage.math.washington.edu/home/tkosan/newbies_book/}, title = {SAGE For Newbies}, } @article{KowalskiNikeghbali2012, author = {Kowalski, E. and Nikeghbali, A.}, date = {2012}, journaltitle = {Journal of the London Mathematical Society}, note = {http://arxiv.org/abs/0912.3237}, number = {1}, pages = {291--319}, title = {Mod-Gaussian convergence and the value distribution of ($\frac{1}{2}$ + \emph{it}) and related quantities}, volume = {86}, } @inproceedings{Kredel2008A, author = {Kredel, Heinz}, editor = {Kapur, Deepak}, booktitle = {ASCM}, date = {2008}, note = {http://dx.doi.org/10.1007/978-3-540-87827-8_10}, pages = {121--138}, series = {Lecture Notes in Computer Science}, title = {Evaluation of a Java Computer Algebra System}, volume = {5081}, } @inproceedings{Kredel2008B, author = {Kredel, Heinz}, booktitle = {Automated Deduction in Geometry}, date = {2008}, note = {http://dx.doi.org/10.1007/978-3-642-21046-4_5}, pages = {86--115}, title = {Unique Factorization Domains in the Java Computer Algebra System}, } @inproceedings{KredelJolly2010, author = {Kredel, Heinz and Jolly, Raphael}, editor = {Gerdt, Vladimir P. and Koepf, Wolfram and Mayr, Ernst W. and Vorozhtsov, Evgenii V.}, booktitle = {CASC}, date = {2010}, note = {http://dx.doi.org/10.1007/978-3-642-15274-0_14}, pages = {162--177}, series = {Lecture Notes in Computer Science}, title = {Generic, Type-Safe and Object Oriented Computer Algebra Software}, volume = {6244}, } @thesis{Krenn2012, author = {Krenn, Daniel}, institution = {Institute of Optimization and Discrete Mathematics}, location = {Graz University of Technology, Austria}, date = {2012}, note = {http://www.sagemath.org/files/thesis/krenn-thesis-2012.pdf}, title = {Digit Expansions with Applications in Cryptography}, type = {phdthesis}, } @article{KrennEtAl2013, author = {Krenn, Daniel and Thuswaldner, Jörg and Ziegler, Volker}, date = {2013}, journaltitle = {Monatshefte für Mathematik}, note = {http://dx.doi.org/10.1007/s00605-012-0443-4}, number = {3-4}, pages = {377--394}, title = {On linear combinations of units with bounded coefficients and double-base digit expansions}, volume = {171}, } @article{KulevichEtAl2009, author = {Kulevich, Julianne L. and Roberts, Gareth E. and Smith, Christopher J.}, date = {2009}, journaltitle = {Qualitative Theory of Dynamical Systems}, note = {http://dx.doi.org/10.1007/s12346-010-0006-9}, number = {2}, pages = {357--370}, title = {Finiteness in the Planar Restricted Four-Body Problem}, volume = {8}, } @inproceedings{KurthLong2007, author = {Kurth, Chris A. and Long, Ling}, editor = {Shum, K. 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Alcove model, path model, and $P=X$}, } @article{LenartSchilling2013, author = {Lenart, Cristian and Schilling, Anne}, date = {2013}, journaltitle = {Mathematische Zeitschrift}, note = {http://arxiv.org/abs/1107.4169}, number = {1-2}, pages = {401--426}, title = {Crystal energy functions via the charge in types A and C}, volume = {273}, } @article{Levin2008, author = {Levin, Aaron}, date = {2008}, journaltitle = {Journal de théorie des nombres de Bordeaux}, note = {http://dx.doi.org/10.5802/jtnb.634}, number = {2}, pages = {385--417}, title = {Variations on a theme of Runge: effective determination of integral points on certain varieties}, volume = {20}, } @article{LevineStange2012, author = {Levine, Lionel and Stange, Katherine E.}, date = {2012}, journaltitle = {American Mathematical Monthly}, note = {http://arxiv.org/abs/1104.0961}, number = {7}, pages = {550--565}, title = {How to make the most of a shared meal: plan the last bite first}, volume = {119}, } @article{LintonEtAl2013, author = {Linton, S. and Hammond, K. and Konovalov, A. and Brown, C. and Trinder, P. W. and Loidl, H.-W. and Horn, P. and Roozemond, D.}, date = {2013}, journaltitle = {Journal of Symbolic Computation}, note = {http://dx.doi.org/10.1016/j.jsc.2011.12.019}, number = {2}, pages = {95--119}, title = {Easy composition of symbolic computation software using SCSCP: A new Lingua Franca for symbolic computation}, volume = {49}, } @article {LittleReview2020, author = {Little, John B.}, date = {2020}, journaltitle = {American Mathematical Society. Bulletin. New Series}, volume = {57}, number = {3}, pages = {515--521}, title = {{\it {C}omputational mathematics with} {\tt {S}age{M}ath} [book review]}, note = {http://dx.doi.org/10.1090/bull/1690}, } @article{Lotscher2010, author = {Lötscher, Roland}, date = {2010}, journaltitle = {Transformation Groups}, note = {http://arxiv.org/abs/0811.3852}, number = {3}, pages = {611--623}, title = {Application of multihomogeneous covariants to the essential dimension of finite groups}, volume = {15}, } @article{Loeffler2008, author = {Loeffler, David}, date = {2008}, journaltitle = {LMS Journal of Computation and Mathematics}, note = {http://www.lms.ac.uk/jcm/11/lms2008-002}, pages = {326--342}, title = {Explicit Calculations of Automorphic Forms for Definite Unitary Groups}, volume = {11}, } @article{Lorenzini2011, author = {Lorenzini, Dino}, date = {2011}, journaltitle = {Annales de L'Institut Fourier}, note = {http://www.math.uga.edu/~lorenz/PaperTorsionTamagawaNumbers.pdf}, number = {5}, pages = {1995--2037}, title = {Torsion and Tamagawa numbers}, volume = {61}, } @book{Lozano-Robledo2011, author = {Lozano-Robledo, Álvaro}, publisher = {American Mathematical Society}, date = {2011}, note = {http://www.ams.org/bookstore-getitem/item=STML-58}, series = {Student Mathematical Library}, title = {Elliptic Curves, Modular Forms, and Their $L$-functions}, volume = {58}, } @misc{Lundqvist2012, author = {Lundqvist, Samuel}, date = {2012}, howpublished = {arXiv:1211.3398}, note = {http://arxiv.org/abs/1211.3398}, title = {Elementary Algebra Related to the SAT Problem}, } @inproceedings{MaitraSarkar2008A, author = {Maitra, Subhamoy and Sarkar, Santanu}, editor = {Tzong-ChenWu and Lei, Chin-Laung and Rijmen, Vincent and Lee, Der-Tsai}, publisher = {Springer}, booktitle = {Proceedings of the 11th International Conference on Information Security}, date = {2008}, note = {http://eprint.iacr.org/2008/228}, pages = {228--243}, series = {Lecture Notes in Computer Science}, title = {Revisiting Wiener's Attack -- New Weak Keys in RSA}, volume = {5222}, } @inproceedings{MaitraSarkar2008B, author = {Maitra, Subhamoy and Sarkar, Santanu}, editor = {Chowdhury, Dipanwita Roy and Rijmen, Vincent and Das, Abhijit}, publisher = {Springer}, booktitle = {Proceedings of the 9th International Conference on Cryptology in India Kharagpur}, date = {2008}, note = {http://portal.acm.org/citation.cfm?id=1484936}, pages = {337--349}, series = {Lecture Notes in Computer Science}, title = {A New Class of Weak Encryption Exponents in RSA}, volume = {5365}, } @article{Manneville_2017, author = {Manneville, Thibault}, publisher = {Informa UK Limited}, date = {2017-03}, doi = {10.1080/10586458.2017.1289866}, issn = {1944-950X}, journaltitle = {Experimental Mathematics}, number = {4}, pages = {377--394}, title = {Fan Realizations for Some 2-Associahedra}, volume = {27}, } @article{Marco-Buzunariz2012, author = {Marco-Buzunáriz, Miguel A.}, date = {2012}, journaltitle = {Journal of Singularities}, note = {http://dx.doi.org/10.5427/jsing.2012.4g}, pages = {114--130}, title = {A polynomial generalization of the Euler characteristic for algebraic sets}, volume = {4}, } @article{Marquez-CorbellaMartinez-Moro2012, author = {Márquez-Corbella, Irene and Martínez-Moro, Edgar}, date = {2012}, journaltitle = {Mathematics in Computer Science}, note = {http://dx.doi.org/10.1007/s11786-012-0120-y}, number = {2}, pages = {147--165}, title = {Decomposition of Modular Codes for Computing Test Sets and Graver Basis}, volume = {6}, } @article{Martinez-MoroEtAl2013, author = {Martínez-Moro, E. and Piñera-Nicolás, A. and Rúa, I. 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Jarrod}, booktitle = {SciPy 2009: Proceedings of the 8th Python in Science Conference}, date = {2009}, note = {http://conference.scipy.org/proceedings/SciPy2009/paper_9}, pages = {58--61}, title = {The FEMhub Project and Classroom Teaching of Numerical Methods}, } @incollection{SondowSchalm2008, author = {Sondow, Jonathan and Schalm, Kyle}, editor = {Amdeberhan, T. and Moll, V.}, publisher = {American Mathematical Society}, booktitle = {Tapas in Experimental Mathematics}, date = {2008}, note = {http://arxiv.org/abs/0709.0671}, pages = {273--284}, 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)}, } @article{Spies2006, author = {Spies, Jaap}, date = {2006}, journaltitle = {Nieuw Archief voor Wiskunde}, note = {http://www.jaapspies.nl/mathfiles/dancingschool.pdf}, number = {4}, pages = {283--285}, title = {Dancing School Problems}, volume = {5/7}, } @article{Stagliano2012, author = {Staglianò, Giovanni}, date = {2012}, journaltitle = {Rendiconti del Circolo Matematico di Palermo}, note = {http://dx.doi.org/10.1007/s12215-012-0099-x}, number = {3}, pages = {403--429}, title = {On special quadratic birational transformations of a projective space into a hypersurface}, volume = {61}, } @thesis{Stagliano2013, author = {Staglianò, Giovanni}, institution = {Dipartimento di Matematica e Informatica}, location = {Università Degli Stdudi Di Catania, Italy}, date = {2013}, note = {http://www.sagemath.org/files/thesis/stagliano-thesis-2013.pdf}, title = {On Special Quadratic Birational Transformations of A Projective Space}, type = {phdthesis}, } @book{Stallings2014, author = {Stallings, William}, publisher = {Prentice Hall}, date = {2014}, edition = {6th}, note = {http://williamstallings.com/Cryptography/}, title = {Cryptography and Network Security: Principles and Practice}, } @book{Stein2007A, author = {Stein, William}, publisher = {American Mathematical Society}, date = {2007}, note = {http://www.ams.org/bookstore-getitem/item=gsm-79}, title = {Modular Forms: A Computational Approach}, } @article{Stein2007B, author = {Stein, William A.}, date = {2007}, journaltitle = {Documenta Mathematica}, note = {http://www.emis.de/journals/DMJDMV/vol-12/19.pdf}, pages = {587--606}, title = {Visibility of Mordell-Weil groups}, volume = {12}, } @book{Stein2008A, author = {Stein, William}, publisher = {Springer}, date = {2008}, note = {http://www.wstein.org/ent}, title = {Elementary Number Theory: Primes, Congruences, and Secrets}, } @inproceedings{Stein2008B, author = {Stein, William}, editor = {Sendra, J. Rafael and González-Vega, Laureano}, publisher = {Association for Computing Machinery}, booktitle = {ISSAC 2008: Proceedings of the International Symposium on Symbolic and Algebraic Computation}, date = {2008}, note = {http://portal.acm.org/citation.cfm?id=1390771}, pages = {5--6}, title = {Can We Create A Viable Free Open Source Alternative to Magma, Maple, Mathematica and Matlab?}, } @incollection{Stein2008C, author = {Stein, William A.}, editor = {Buhler, Joseph P. and Stevenhagen, Peter}, publisher = {Cambridge University Press}, booktitle = {Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography}, date = {2008}, note = {http://library.msri.org/books/Book44/contents.html}, pages = {641--652}, title = {An introduction to computing modular forms using modular symbols}, } @article{Stein2010, author = {Stein, William}, date = {2010}, journaltitle = {International Mathematics Research Notices}, note = {http://www.wstein.org/papers/stein-ggz}, number = {24}, pages = {rnq075v1--rnq075}, title = {Toward a Generalization of the Gross-Zagier Conjecture}, volume = {2010}, } @article{SteinJoyner2005, author = {Stein, William and Joyner, David}, date = {2005}, journaltitle = {ACM SIGSAM Bulletin}, note = {http://www.sagemath.org/files/sage_stein2005.pdf}, number = {2}, pages = {61--64}, title = {{SAGE}: System for Algebra and Geometry Experimentation}, volume = {39}, } @book{SteinEtAl2009, author = {Stein, William and others}, publisher = {CreateSpace}, date = {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}, title = {Sage Tutorial}, } @article{SteinWuthrich2013, author = {Stein, William and Wuthrich, Christian}, date = {2013}, journaltitle = {Mathematics of Computation}, note = {http://wstein.org/papers/shark}, number = {283}, pages = {1757--1792}, title = {Algorithms for the arithmetic of elliptic curves using Iwasawa theory}, volume = {82}, } @article{Stix2011, author = {Stix, Jakob}, date = {2011}, journaltitle = {Journal of Pure and Applied Algebra}, note = {http://dx.doi.org/10.1016/j.jpaa.2010.08.017}, number = {6}, pages = {1371--1397}, title = {The Brauer-Manin obstruction for sections of the fundamental group}, volume = {215}, } @book{Stix2013, author = {Stix, Jakob}, publisher = {Springer}, date = {2013}, note = {http://link.springer.com/book/10.1007/978-3-642-30674-7/}, title = {Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture}, } @thesis{Straub2008, author = {Straub, Armin}, institution = {Department of Mathematics}, location = {Technische Universität Darmstadt, Germany}, date = {2008}, note = {http://www.sagemath.org/files/thesis/straub-thesis-2008.pdf}, title = {Local recognition of reflection graphs on Coxeter groups}, type = {mathesis}, } @thesis{Streng2010, author = {Streng, Marco}, institution = {Thomas Stieltjes Institute for Mathematics}, location = {Universiteit Leiden, The Netherlands}, date = {2010}, note = {http://www.sagemath.org/files/thesis/streng-thesis-2010.pdf}, title = {Complex multiplication of abelian surfaces}, type = {phdthesis}, } @article{Streng2014, author = {Streng, Marco}, date = {2014}, journaltitle = {Mathematics of Computation}, note = {http://arxiv.org/abs/0903.4766}, number = {285}, pages = {275--309}, title = {Computing Igusa class polynomials}, volume = {83}, } @article{Stromberg2012, author = {Strömberg, Fredrik}, date = {2012}, journaltitle = {Proceedings of the London Mathematical Society}, note = {http://arxiv.org/abs/1106.5741}, number = {2}, pages = {281--310}, title = {Newforms and Spectral Multiplicities for $\Gamma_0(9)$}, volume = {105}, } @article{Stromberg2013, author = {Strömberg, Fredrik}, date = {2013}, journaltitle = {Mathematische Zeitschrift}, note = {http://arxiv.org/abs/1108.0202}, number = {1-2}, pages = {509--527}, title = {Weil representations associated with finite quadratic modules}, volume = {275}, } @article{Tabera2011, author = {Tabera, Luis Felipe}, date = {2011}, journaltitle = {Journal of Symbolic Computation}, note = {http://dx.doi.org/10.1016/j.jsc.2011.04.001}, number = {8}, pages = {967--976}, title = {Optimal affine reparametrization of rational curves}, volume = {46}, } @article{Tabera2013, author = {Tabera, Luis Felipe}, date = {2013}, journaltitle = {Journal of Symbolic Computation}, note = {http://dx.doi.org/10.1016/j.jsc.2012.09.001}, number = {3}, pages = {450--464}, title = {Computing hypercircles by moving hyperplanes}, volume = {50}, } @article{TaniguchiThorne2013, author = {Taniguchi, Takashi and Thorne, Frank}, date = {2013}, journaltitle = {Duke Mathematical Journal}, note = {http://arxiv.org/abs/1102.2914}, number = {13}, pages = {2345--2607}, title = {Secondary terms in counting functions for cubic fields}, volume = {162}, } @thesis{Taylor2010, author = {Taylor, Graeme}, institution = {School of Mathematics}, location = {University of Edinburgh, UK}, date = {2010}, note = {http://www.sagemath.org/files/thesis/taylor-thesis-2010.pdf}, title = {Cyclotomic Matrices and Graphs}, type = {phdthesis}, } @article{Taylor2011, author = {Taylor, Graeme}, date = {2011}, journaltitle = {Journal of Algebra}, note = {http://dx.doi.org/10.1016/j.jalgebra.2011.02.009}, number = {1}, pages = {523--545}, title = {Cyclotomic matrices and graphs over the ring of integers of some imaginary quadratic fields}, volume = {331}, } @misc{Thiery2008, author = {Thiéry, Nicolas M.}, date = {2008}, howpublished = {Mémoire d'{Ha}bilitation à Diriger des Recherches}, note = {http://arxiv.org/abs/0912.2619}, title = {Algèbre Combinatoire et Effective; des graphes aux algèbres de Kac \emph{via} l'exploration informatique}, } @misc{Thiery2009, author = {Thiéry, Nicolas M.}, date = {2009}, howpublished = {Software demonstration, FPSAC'09, Hagenberg, Austria}, note = {http://wiki.sagemath.org/combinat?action=AttachFile&do=get&target=2009-07-20-FPSAC.pdf}, title = {Sage-Combinat, Free and Practical Software for Algebraic Combinatorics}, } @misc{ThomaeWolf2011, author = {Thomae, Enrico and Wolf, Christopher}, date = {2011}, howpublished = {Cryptology ePrint Archive: Report 2011/431}, note = {http://eprint.iacr.org/2011/431}, title = {Roots of Square: Cryptanalysis of DoubleLayer Square and Square+}, } @thesis{Udovenko2019, author = {Udovenko, Aleksei}, institution = {University of Luxembourg}, date = {2019}, note = {https://orbilu.uni.lu/handle/10993/39350}, title = {Design and Cryptanalysis of Symmetric-Key Algorithms in Black and White-box Models}, type = {phdthesis}, } @article{Vallieres2012, author = {Vallières, Daniel}, date = {2012}, journaltitle = {Journal of Number Theory}, note = {http://dx.doi.org/10.1016/j.jnt.2012.05.008}, number = {11}, pages = {2535--2567}, title = {On a generalization of the rank one Rubin-Stark conjecture}, volume = {132}, } @inproceedings{VelichkovEtAl2009, author = {Velichkov, Vesselin and Rijmen, Vincent and Preneel, Bart}, publisher = {Werkgemeenschap voor Informatieen Communicatietheorie}, booktitle = {Proceedings of the 30th Symposium on Information Theory in the Benelux}, date = {2009}, note = {http://www.cosic.esat.kuleuven.be/publications/article-1225.pdf}, title = {Algebraic Cryptanalysis of a Small-Scale Version of Stream Cipher LEX}, } @inproceedings{Voight2008A, author = {Voight, John}, editor = {van der Poorten, Alfred J. and Stein, Andreas}, publisher = {Springer}, booktitle = {Proceedings of the 8th International Symposium on Algorithmic Number Theory}, date = {2008}, note = {http://arxiv.org/abs/0802.0194}, pages = {268--281}, series = {Lecture Notes in Computer Science}, title = {Enumeration of Totally Real Number Fields of Bounded Root Discriminant}, volume = {5011}, } @article{Voight2008B, author = {Voight, John}, date = {2008}, journaltitle = {Annales des sciences mathématiques du Québec}, note = {http://www.labmath.uqam.ca/~annales/volumes/32-2/PDF/221-232.pdf}, number = {2}, pages = {221--232}, title = {The Gauss higher relative class number problem}, volume = {32}, } @book{Washington2008, author = {Washington, Lawrence C.}, publisher = {Chapman \& Hall/CRC}, date = {2008}, edition = {2nd}, note = {http://www-users.math.umd.edu/~lcw/ellipticcurves.html}, title = {Elliptic Curves: Number Theory and Cryptography}, } @thesis{Weinmann2009, author = {Weinmann, Ralf-Philipp}, institution = {Department of Computer Science}, location = {Technischen Universität Darmstadt, Germany}, date = {2009}, note = {http://www.sagemath.org/files/thesis/weinmann-thesis-2009.pdf}, title = {Algebraic Methods in Block Cipher Cryptanalysis}, type = {phdthesis}, } @misc{WongEtAl2009, author = {Wong, Kenneth Koon-Ho and Bard, Gregory V. and Lewis, Robert H.}, date = {2009}, howpublished = {Cryptology ePrint Archive: Report 2009/343}, note = {http://eprint.iacr.org/2009/343}, title = {Partitioning Multivariate Polynomial Equations via Vertex Separators for Algebraic Cryptanalysis and Mathematical Applications}, } @thesis{Yu2010, author = {Yu, Miao}, institution = {Department of Mathematics}, location = {University of Southern Mississippi, USA}, date = {2010}, title = {An F4-Style Involutive Basis Algorithm}, type = {mathesis}, } @book {ZimmermannEtAl2018, author = {Zimmermann, Paul and Casamayou, Alexandre and Cohen, Nathann and Connan, Guillaume and Dumont, Thierry and Fousse, Laurent and Maltey, Fran\c{c}ois and Meulien, Matthias and Mezzarobba, Marc and Pernet, Cl\'{e}ment and Thi\'{e}ry, Nicolas M. and Bray, Erik and Cremona, John and Forets, Marcelo and Ghitza, Alexandru and Thomas, Hugh}, date = {2018}, title = {Computational mathematics with {S}age{M}ath}, publisher = {Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA}, doi = {10.1137/1.9781611975468}, } @article{pecora2014cluster, author = {Pecora, Louis M and Sorrentino, Francesco and Hagerstrom, Aaron M and Murphy, Thomas E and Roy, Rajarshi}, publisher = {Nature Publishing Group}, date = {2014}, doi = {10.1038/ncomms5079}, journaltitle = {Nature communications}, note = {http://www.nature.com/ncomms/2014/140613/ncomms5079/full/ncomms5079.html}, title = {Cluster synchronization and isolated desynchronization in complex networks with symmetries}, volume = {5}, } @book{bard2014, author = {Bard, Gregory V.}, publisher = {American Mathematical Society}, date = {2014}, note = {http://www.gregorybard.com/SAGE.html}, title = {Sage for Undergraduates}, } @article{doi:10.1021/jp504197w, author = {Mietta, J. L. and Negri, R. M. and Tamborenea, P. I.}, date = {2014}, doi = {10.1021/jp504197w}, eprint = {http://dx.doi.org/10.1021/jp504197w}, journaltitle = {The Journal of Physical Chemistry C}, note = {http://dx.doi.org/10.1021/jp504197w}, number = {35}, pages = {20594--20604}, title = {Numerical Simulations of Stick Percolation: Application to the Study of Structured Magnetorheological Elastomers}, volume = {118}, } @article{rhalyrhoadesweightedmean, author = {Jr., H. C. Rhaly and Rhoades, B. E.}, date = {2014}, journaltitle = {Studia Universitatis Babes-Bolyai Mathematica}, note = {http://www.cs.ubbcluj.ro/~studia-m/2014-3/08-rhaly-final.pdf}, number = {3}, pages = {365--368}, title = {The weighted mean operator on $\ell^2$ with weight sequence $w_n = (n + 1)^p$ is hyponormal for $p=2$}, volume = {59}, } @article{HoRationalPoints2014, author = {Ho, Wei}, date = {2014}, journaltitle = {American Mathematical Society. Bulletin. New Series}, note = {http://dx.doi.org/10.1090/S0273-0979-2013-01433-2}, number = {1}, pages = {27--52}, title = {How many rational points does a random curve have?}, volume = {51}, } @article{GouveaReview, author = {Gouvêa, Fernando Q.}, date = {2013}, journaltitle = {American Mathematical Monthly}, number = {1}, pages = {84--94}, title = {Elliptic curves, modular forms, and their $L$-functions [book review]}, volume = {120}, } @article{LozanoRField, author = {Lozano-Robledo, Álvaro}, date = {2013}, journaltitle = {Mathematische Annalen}, number = {1}, pages = {279--305}, title = {On the field of definition of $p$-torsion points on elliptic curves over the rationals}, volume = {357}, } @article{LozanoRFormalGroups, author = {Lozano-Robledo, Álvaro}, date = {2013}, journaltitle = {Pacific Journal of Mathematics}, number = {1}, pages = {145--164}, title = {Formal groups of elliptic curves with potential good supersingular reduction}, volume = {261}, } @book{anastassiou2015numerical, author = {Anastassiou, George A and Mezei, Razvan A}, publisher = {Springer}, date = {2015}, title = {Numerical Analysis Using Sage}, } @misc{cryptoeprint:2015:589, author = {Leventi-Peetz, A.-M. and Peetz, J.-V.}, date = {2015}, howpublished = {Cryptology ePrint Archive, Report 2015/589}, note = {http://eprint.iacr.org/2015/589}, title = {Generating S-Box Multivariate Quadratic Equation Systems And Estimating Algebraic Attack Resistance Aided By SageMath}, } @article{fresl2013generalized, author = {Fresl, Krešimir and Gidak, Petra and Vrančić, Romana}, publisher = {Hrvatski savez građevinskih inženjera}, date = {2013}, journaltitle = {Građevinar}, number = {08}, pages = {707--720}, title = {Generalized minimal nets in form finding of prestressed cable nets}, volume = {65}, } @book{sanggulee2014calculus, author = {Beezer, Robert A and Lee, Sang-Gu and Kim, Eung-Ki and Ham, Yoonmee and Kumar, Ajit}, publisher = {Kyung Moon Sa}, date = {2014}, title = {Calculus}, } @book{hefferonlinearalgebra, author = {Hefferon, Jim}, publisher = {CC BY-SA 2.5 self-published}, date = {2014}, title = {Linear Algebra (lab manual)}, } @article{hefferon2016, author = {Hefferon, Jim and Schueller, Albert}, publisher = {Springer}, date = {2016}, journaltitle = {The Mathematical Intelligencer}, number = {2}, pages = {6--9}, title = {Writing an Open Text}, volume = {38}, } @book{WagstaffJoyFactoring, author = {Wagstaff, Jr., Samuel S.}, publisher = {American Mathematical Society, Providence, RI}, date = {2013}, isbn = {978-1-4704-1048-3}, pages = {xiv+293}, series = {Student Mathematical Library}, title = {The joy of factoring}, volume = {68}, } @article{2015arXiv150904608S, author = {{Schmidt}, B.}, date = {2015-09}, eprint = {1509.04608}, eprintclass = {math.AG}, eprinttype = {arXiv}, journaltitle = {ArXiv e-prints}, keywords = {Mathematics - Algebraic Geometry,14F05 (Primary),14J30,18E30 (Secondary)}, title = {{Bridgeland Stability on Threefolds - Some Wall Crossings}}, } @article{dohmen2014closed, author = {Dohmen, Klaus}, date = {2015}, journaltitle = {Australas. J. Combin.}, number = {2}, pages = {196--201}, title = {Closed-form expansions for the universal edge elimination polynomial}, volume = {63}, } @article{2014arXiv1409.5156R, author = {{Rhaly}, Jr, H. C.}, date = {2014-09}, eprint = {1409.5156}, eprintclass = {math.FA}, eprinttype = {arXiv}, journaltitle = {ArXiv e-prints}, keywords = {Mathematics - Functional Analysis,47B20}, title = {The weighted mean matrix with weight sequence $w_n=2n+1$ is a hyponormal operator on $\ell^2$}, } @article{2015arXiv151007141C, author = {{Celoria}, D.}, date = {2015-10}, eprint = {1510.07141}, eprintclass = {math.GT}, eprinttype = {arXiv}, journaltitle = {ArXiv e-prints}, keywords = {Mathematics - Geometric Topology}, title = {{A note on Grid Homology in lens spaces: $\mathbb Z$ coefficients and computations}}, } @book{TI2016, author = {Theobald, Thorsten and Iliman, Sadik}, publisher = {Springer}, date = {2016}, title = {Einführung in die computerorientierte Mathematik mit Sage}, } @book{polishSageBook, author = {Giniewicz, Andrzej and Zajączkowska, Katarzyna}, publisher = {GiS}, date = {2015}, title = {Zrozumieć matematykę z pakietem Sage ("Understand mathematics with the Sage package")}, } @thesis{Ajouz15, author = {Ajouz, Ali}, institution = {Faculty IV: Science and Technology, Universität Siegen}, language = {eng}, date = {2015}, title = {Hecke operators on Jacobi forms of lattice index and the relation to elliptic modular forms}, type = {phdthesis}, } @misc{walker2015creating, author = {Walker, James S}, publisher = {American Mathematical Society, AMS}, date = {2015}, journaltitle = {Notices of the American Mathematical Society}, number = {11}, pages = {1350--1354}, title = {Creating Symmetry: The Artful Mathematics of Wallpaper Patterns by Frank A. Farris (Book Review)}, volume = {62}, } @thesis{Spi-2015, author = {Spicer, Simon V.B.}, institution = {University of Washington}, date = {2015}, title = {The Zeros of Elliptic Curve $L$-functions: Analytic Algorithms with Explicit Time Complexity}, type = {phdthesis}, } @article{2016arXiv160100013G, author = {{Guliyev}, N. J. and {Ismailov}, V. E.}, date = {2016-12}, eprint = {1601.00013}, eprinttype = {arXiv}, journaltitle = {ArXiv e-prints}, keywords = {Computer Science - Neural and Evolutionary Computing,Computer Science - Information Theory,Mathematics - Numerical Analysis,41A30,92B20}, title = {{A single hidden layer feedforward network with only one neuron in the hidden layer can approximate any univariate function}}, } @misc{takemoricomputation, author = {Takemori, Sho}, date = {2014}, note = {https://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/223144/1/1907-18.pdf}, title = {On the computation of Siegel modular forms of degree 2 with Sage}, } @article{2016arXiv160100181C, author = {{Cohen}, N. and {Pasechnik}, D. V.}, publisher = {Springer Science and Business Media LLC}, url = {https://doi.org/10.1007/s10623-016-0264-x}, date = {2016-08}, doi = {10.1007/s10623-016-0264-x}, issn = {1573-7586}, journaltitle = {Designs, Codes and Cryptography}, keywords = {Mathematics - Combinatorics,Computer Science - Discrete Mathematics,05E30,68-04}, note = {https://doi.org/10.1007/s10623-016-0264-x and arXiv e-print 1601.00181}, number = {1-2}, pages = {223--235}, title = {{Implementing Brouwer's database of strongly regular graphs}}, volume = {84}, } @article{bishnoi2015new, author = {Bishnoi, Anurag and De Bruyn, Bart}, date = {2016}, journaltitle = {The Electronic Journal of Combinatorics}, note = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i2p35/ and arXiv preprint arXiv:1501.04119}, number = {2}, title = {A New Near Octagon and the Suzuki Tower}, volume = {23}, } @book{RiemannHypothesisVeenCraats, author = {van der Veen, Roland and van de Craats, Jan}, publisher = {MAA}, date = {2015}, title = {The Riemann Hypothesis}, } @book{watkins2013number, author = {Watkins, John J}, publisher = {Princeton University Press}, date = {2013}, title = {Number theory: A historical approach}, } @book{mezei2015introduction, author = {Mezei, Razvan A}, publisher = {John Wiley \& Sons}, date = {2015}, title = {An Introduction to SAGE Programming: With Applications to SAGE Interacts for Numerical Methods}, } @article{10.4169/math.mag.89.1.3, abstract = {In this paper we define ``confused electrician games,'' which generalize ``Lights Out,'' a game popular in mathematical literature. In addition to ``Lights Out,'' many more recent computer game puzzles can be modeled as confused electrician games. We provide examples of this, and explain how to solve such games using the Smith normal form of a matrix. We note that in many cases, this method is very efficient compared to another, more obvious, method.}, author = {Edgar, Tom and Sklar, Jessica K.}, publisher = {Mathematical Association of America}, date = {2016}, issn = {0025570X, 19300980}, journaltitle = {Mathematics Magazine}, number = {1}, pages = {3--13}, title = {A Confused Electrician Uses Smith Normal Form}, volume = {89}, } @article{10.4169/math.mag.90.2.126, abstract = {Lights Out is a game played on a grid of light-up buttons. At the start of the game, the lights are lit in a seemingly random configuration. A button changes states whenever it or one of its neighbors is pressed. The goal is to turn all of the lights out. Light chasing is a simple strategy for winning Lights Out by using a lookup table. In this article we examine how to construct these lookup tables for several variations of the game.}, author = {LEACH, C. DAVID}, publisher = {Mathematical Association of America}, date = {2017}, issn = {0025570X, 19300980}, journaltitle = {Mathematics Magazine}, number = {2}, pages = {126--133}, title = {Chasing the Lights in Lights Out}, volume = {90}, } @article{Cremona2016, author = {Cremona, John}, date = {2016}, doi = {10.1007/s10208-016-9306-z}, issn = {1615-3383}, journaltitle = {Foundations of Computational Mathematics}, pages = {1--13}, title = {The L-Functions and Modular Forms Database Project}, } @article{DBLP:journals/corr/DehayeKKLPT16, author = {Dehaye, Paul-Olivier and Kohlhase, Michael and Konovalov, Alexander and Lelièvre, Samuel and Pfeiffer, Markus and Thiéry, Nicolas M.}, crossref = {CICM16}, date = {2016}, journaltitle = {CoRR}, title = {Interoperability in the OpenDreamKit Project: The Math-in-the-Middle Approach}, volume = {abs/1603.06424}, } @inproceedings{CICM16, author = {Kohlhase, Michael and Johansson, Moa and Miller, Bruce and de Moura, Leonardo and Tompa, Frank}, publisher = {Springer}, booktitle = {{Intelligent Computer Mathematics} 2016}, date = {2016}, eventdate = {2016-07-25/2015-07-29}, eventtitle = {Conferences on Intelligent Computer Mathematics}, isbn = {978-3-319-20615-8}, keywords = {conference}, label = {CICM16}, number = {9791}, series = {LNAI}, title = {Intelligent Computer Mathematics}, venue = {Bialystok, Poland}, } @article{Tabrizi20167, author = {Tabrizi, Mehdi}, date = {2016}, doi = {http://dx.doi.org/10.1016/j.radphyschem.2016.05.018}, issn = {0969-806X}, journaltitle = {Radiation Physics and Chemistry}, keywords = {Linewidth}, pages = {7--12}, title = {Influence of multiple scattering of relativistic electrons on the linewidth of Parametric X-ray Radiation produced in the extremely Bragg geometry in the absence of photoabsorption}, volume = {127}, } @book{calculoCientifico2016, author = {Aceña, Dr. Andrés and Armijos, Dr. Jairo and Llerena, Fis. Mario}, publisher = {Observatorio Astronómico de Quito-Escuela Politécnica Nacional}, date = {2016}, note = {https://oaq.epn.edu.ec/documentos/ManualSageMathOAQ.pdf}, title = {Manual de Cálculo científico en SageMath}, } @article{KalvodaStarosta2015, author = {Kalvoda, Tomáš and Starosta, Štěpán}, language = {cze}, publisher = {Jednota českých matematiků a fyziků}, date = {2015}, journaltitle = {Pokroky matematiky, fyziky a astronomie}, number = {4}, pages = {300--313}, title = {Počítáme otevřeně se SageMath}, volume = {60}, } @thesis{Kertels2016, author = {Kertels, Fabian}, institution = {Technische Universität Darmstadt}, date = {2016}, title = {Singular weight products on lattices with small discriminant}, type = {Master's Thesis}, } @article{JGAA-349, author = {{Bannister}, {Michael} J. and {Devanny}, {William} E. and {Eppstein}, {David} and {Goodrich}, {Michael} T.}, date = {2015}, doi = {10.7155/jgaa.00349}, journaltitle = {Journal of Graph Algorithms and Applications}, number = {2}, pages = {619--656}, title = {The Galois Complexity of Graph Drawing: Why Numerical Solutions are Ubiquitous for Force-Directed, Spectral, and Circle Packing Drawings}, volume = {19}, } @inproceedings{BanDevEpp-GD-14, author = {Bannister, Michael J. and Devanny, William E. and Eppstein, David and Goodrich, Michael T.}, location = {Berlin, Heidelberg}, publisher = {Springer-Verlag}, booktitle = {Proceedings of the 22nd International Symposium on Graph Drawing (GD'14)}, date = {2014}, eprint = {1408.1422}, pages = {149--161}, title = {{The Galois complexity of graph drawing}}, } @inproceedings{7465262, author = {Buchin, Kevin and Creemers, Daan and Lazzarotto, Andrea and Speckmann, Bettina and Wulms, Jules}, booktitle = {2016 IEEE Pacific Visualization Symposium (PacificVis)}, date = {2016-04}, doi = {10.1109/PACIFICVIS.2016.7465262}, keywords = {data visualisation;geography;greedy algorithms;text analysis;geo word clouds;geographic regions;greedy strategy;spatial relevance;text-based data sets;text-based visualization;Data visualization;Electronic mail;Flickr;Labeling;Shape;Spatial databases;Tag clouds;I.3.3 [Computer Graphics]: Picture/Image Generation}, note = {http://lazza.dk/wp-content/uploads/2016/07/GeoWordClouds2016.pdf}, pages = {144--151}, title = {Geo word clouds}, } @article{DBLP:journals/corr/AbrahamsenAM17, author = {Abrahamsen, Mikkel and Adamaszek, Anna and Miltzow, Tillmann}, date = {2017}, journaltitle = {CoRR}, title = {Irrational Guards are Sometimes Needed}, volume = {abs/1701.05475}, } @article{2017arXiv170310937W, author = {{Wang}, Q.-R. and {Gu}, Z.-C.}, date = {2017-03}, eprint = {1703.10937}, eprintclass = {cond-mat.str-el}, eprinttype = {arXiv}, journaltitle = {ArXiv e-prints}, keywords = {Condensed Matter - Strongly Correlated Electrons,High Energy Physics - Theory,Mathematical Physics}, title = {{Towards a complete classification of fermionic symmetry protected topological phases in 3D and a general group supercohomology theory}}, } @article{Gazestani2017, author = {Gazestani, Vahid H. and Hampton, Marshall and Shaw, Aubie K. and Salavati, Reza and Zimmer, Sara L.}, date = {2017}, doi = {https://doi.org/10.1016/j.ijpara.2017.08.012}, issn = {0020-7519}, journaltitle = {International Journal for Parasitology}, keywords = {Hidden Markov modelling}, title = {Tail characteristics of Trypanosoma brucei mitochondrial transcripts are developmentally altered in a transcript-specific manner}, } @article{vsamec2018increasing, author = {Šamec, Elizabeta and Fresl, Krešimir and Baniček, Maja}, publisher = {Hrvatski savez građevinskih inženjera}, date = {2017}, doi = {10.14256/JCE.2132.2017}, journaltitle = {Građevinar}, number = {12.}, pages = {1075--1084}, title = {Increasing efficiency of iterative application of the force density method}, volume = {69}, } @article{2018arXiv180400208B, author = {{Beck}, M. and {Leon}, E.}, date = {2018-03}, eprint = {1804.00208}, eprintclass = {math.CO}, eprinttype = {arXiv}, journaltitle = {ArXiv e-prints}, keywords = {Mathematics - Combinatorics,05C31,05A15,05C15,05C21,06A11,52B20}, title = {{Binomial inequalities of Chromatic, Flow, and Ehrhart Polynomials}}, } @book{BeckSanyal2018, author = {Beck, Matthias and Sanyal, Raman}, publisher = {American Mathematical Society}, date = {2018}, isbn = {978-1-4704-2200-4}, note = {https://www.springer.com/engineering/computational+intelligence+and+complexity/book/978-3-319-01966-6}, series = {Graduate Studies in Mathematics}, title = {Combinatorial reciprocity theorems}, volume = {195}, } @book{garfinkel2017modeling, author = {Garfinkel, Alan and Shevtsov, Jane and Guo, Yina}, publisher = {Springer}, date = {2017}, title = {Modeling Life: The Mathematics of Biological Systems}, } @book{taillet2017optique, author = {Taillet, Richard}, publisher = {De Boeck Superieur}, date = {2017}, title = {Optique géométrique}, } @article{kapcak2018, author = {Kapçak, Sinan}, date = {2018}, journaltitle = {The Electronic Journal of Mathematics & Technology}, number = {2}, pages = {292--308}, title = {Discrete Dynamical Systems with SageMath}, volume = {12}, } @article{2018arXiv180510709C, author = {{Chan}, S. and {Hanselman}, J. and {Li}, W.}, date = {2018-05}, eprint = {1805.10709}, eprintclass = {math.NT}, eprinttype = {arXiv}, journaltitle = {ArXiv e-prints}, keywords = {Mathematics - Number Theory}, title = {Ranks, $2$-Selmer groups, and Tamagawa numbers of elliptic curves with $\mathbb Z / 2\mathbb Z \times \mathbb Z / 8\mathbb Z$-torsion}, } @article{2017arXiv170404175A, author = {{Angella}, D.}, date = {2017-04}, eprint = {1704.04175}, eprintclass = {math.DG}, eprinttype = {arXiv}, journaltitle = {ArXiv e-prints}, keywords = {Mathematics - Differential Geometry,68W30,53A30,32C35,57T15,32Q99}, title = {{SageMath experiments in Differential and Complex Geometry}}, } @article{10.4169/college.math.j.48.2.90, abstract = {We visually investigate Viète's method for funding for the roots of the depressed cubic equation using transformations and complex plots from Sage to consider the three cases.}, author = {Edgar, Tom and Meyer, N. Chris}, publisher = {Mathematical Association of America}, date = {2017}, issn = {07468342, 19311346}, journaltitle = {The College Mathematics Journal}, number = {2}, pages = {90--96}, title = {A Visual Validation of Viète's Verification}, volume = {48}, } @article{Harrington2017, abstract = {We consider reduction of dimension for nonlinear dynamical systems. We demonstrate that in some cases, one can reduce a nonlinear system of equations into a single equation for one of the state variables, and this can be useful for computing the solution when using a variety of analytical approaches. In the case where this reduction is possible, we employ differential elimination to obtain the reduced system. While analytical, the approach is algorithmic and is implemented in symbolic software such as MAPLE or SageMath. In other cases, the reduction cannot be performed strictly in terms of differential operators, and one obtains integro-differential operators, which may still be useful. In either case, one can use the reduced equation to both approximate solutions for the state variables and perform chaos diagnostics more efficiently than could be done for the original higher-dimensional system, as well as to construct Lyapunov functions which help in the large-time study of the state variables. A number of chaotic and hyperchaotic dynamical systems are used as examples in order to motivate the approach.}, author = {Harrington, Heather A. and Van Gorder, Robert A.}, date = {2017}, doi = {10.1007/s11071-016-3272-5}, issn = {1573-269X}, journaltitle = {Nonlinear Dynamics}, number = {1}, pages = {715--734}, title = {Reduction of dimension for nonlinear dynamical systems}, volume = {88}, } @article{Roberto2016, author = {Roberto, Roson}, date = {2016-09}, journaltitle = {University Ca' Foscari of Venice, Dept. of Economics Research Paper Series}, number = {23}, title = {PAMS.py: A GAMS-Like Modeling System Based on Python and SAGE}, } @book{HarrisPeering2017, author = {Harris, John and Kohl, Karen and Perry, John}, publisher = {Lulu}, date = {2017-11}, note = {Draft number 13}, title = {Peering into Advanced Mathematics through Sage-colored Glasses}, } @article{NazariehIdentification2016, author = {Nazarieh, Maryam and Wiese, Andreas and Will, Thorsten and Hamed, Mohamed and Helms, Volkhard}, date = {2016-07}, journaltitle = {BMC Systems Biology}, title = {Identification of key player genes in gene regulatory networks}, volume = {10}, } @unpublished{McKayConcreteAlg2018, author = {McKay, Ben}, date = {2018}, note = {https://github.com/Ben-McKay/concrete-algebra}, title = {Concrete Algebra}, } @thesis{Ziegler2015, author = {Ziegler, Konstantin}, institution = {Rheinische Friedrich-Willhelms-Universität Bonn}, location = {Bonn, Germany}, date = {2015-04}, note = {http://hss.ulb.uni-bonn.de/2015/3981/3981.pdf}, title = {Counting classes of special polynomials}, type = {Dissertation}, } @article{benito2012sage, author = {Benito, Pilar and de-la-Concepción, Daniel and others}, publisher = {Tbilisi Centre for Mathematical Sciences}, date = {2012}, journaltitle = {Tbilisi Mathematical Journal}, note = {http://www.tcms.org.ge/Journals/TMJ/Volume5_2/Xpapers/tmj5_2_1.pdf}, number = {2}, pages = {3--16}, title = {{Sage computations of ${\mathfrak sl}_2 (k)$-Levi extensions}}, volume = {5}, } @article{celerier2012walsh, author = {Celerier, Charles and Joyner, David and Melles, Caroline and Phillips, David and others}, publisher = {Tbilisi Centre for Mathematical Sciences}, date = {2012}, journaltitle = {Tbilisi Mathematical Journal}, note = {http://www.tcms.org.ge/Journals/TMJ/Volume5_2/Xpapers/tmj5_2_2.pdf}, number = {2}, pages = {19--35}, title = {On the Walsh-Hadamard transform of monotone Boolean functions}, volume = {5}, } @article{cruz2012exercise, author = {Cruz, Pedro and Oliveira, Paula and Seabra, Dina and others}, publisher = {Tbilisi Centre for Mathematical Sciences}, date = {2012}, journaltitle = {Tbilisi Mathematical Journal}, note = {http://www.tcms.org.ge/Journals/TMJ/Volume5_2/Xpapers/tmj5_2_3.pdf}, number = {2}, pages = {37--44}, title = {Exercise templates with Sage}, volume = {5}, } @article{fahlberg2012experiences, author = {Fahlberg-Stojanovska, Linda and Stojanovski, Vitomir and Fahlberg, Tim and others}, publisher = {Tbilisi Centre for Mathematical Sciences}, date = {2012}, journaltitle = {Tbilisi Mathematical Journal}, note = {http://www.tcms.org.ge/Journals/TMJ/Volume5_2/Xpapers/tmj5_2_4.pdf}, number = {2}, pages = {45--53}, title = {Experiences in using Sage to integrate good study habits and problem solving techniques in engineering mathematics}, volume = {5}, } @article{ghitza2012experimental, author = {Ghitza, Alexandru and McAndrew, Angus and others}, publisher = {Tbilisi Centre for Mathematical Sciences}, date = {2012}, journaltitle = {Tbilisi Mathematical Journal}, note = {http://www.tcms.org.ge/Journals/TMJ/Volume5_2/Xpapers/tmj5_2_5.pdf}, number = {2}, pages = {55--69}, title = {Experimental evidence for Maeda's conjecture on modular forms}, volume = {5}, } @article{paricio2012plotting, author = {Paricio, Luis Javier Hernández and Grandes, Miguel Maranón and Rodrı́guez, Marı́a Teresa Rivas and others}, publisher = {Tbilisi Centre for Mathematical Sciences}, date = {2012}, journaltitle = {Tbilisi Mathematical Journal}, note = {http://www.tcms.org.ge/Journals/TMJ/Volume5_2/Xpapers/tmj5_2_6.pdf}, number = {2}, pages = {71--99}, title = {Plotting basins of end points of rational maps with Sage}, volume = {5}, } @misc{SchmittVanZelm-AdmissibleCovers, author = {Schmitt, Johannes and van Zelm, Jason}, date = {2020}, howpublished = {arXiv:1808.05817 [math.AG]}, note = {https://arxiv.org/abs/1808.05817}, title = {Intersections of loci of admissible covers with tautological classes}, } @book{ComputacoMathematicaSageMath2019, author = {Silva, Leon and Santos, Marcelo and Machado, Ricardo}, publisher = {Brazilian Mathematical Society}, date = {2019}, isbn = {9788583371618}, note = {https://loja.sbm.org.br/index.php/elementos-de-computac-o-matematica-com-sagemath.html}, title = {Elementos de Computação Matemática com SageMath}, } @book{SageParaEstudiantes2020, author = {Bard, Gregory}, translator = {Sejas Viscarra, Diego}, language = {Spanish}, publisher = {online}, annotation = {Translation made by Diego Sejas Viscarra under the weekly supervision of Prof. Gregory Bard}, date = {2020}, note = {http://www.sage-para-estudiantes.com/}, shorttitle = {Sage para Estudiantes}, title = {Sage para Estudiantes de Pregrado}, } @article{MR3780407, author = {Balodi, Mamta and Palcoux, Sebastien}, date = {2018}, doi = {10.1016/j.jcta.2018.02.004}, issn = {0097-3165}, journaltitle = {J. Combin. Theory Ser. A}, note = {https://doi.org/10.1016/j.jcta.2018.02.004}, pages = {49--69}, title = {On Boolean intervals of finite groups}, volume = {157}, } @misc{1910.12059, author = {Liu, Zhengwei and Palcoux, Sebastien and Wu, Jinsong}, date = {2019}, eprint = {arXiv:1910.12059}, note = {https://arxiv.org/abs/1910.12059}, title = {Fusion Bialgebras and Fourier Analysis}, } @article{bernstein2019fast, author = {Bernstein, Daniel J and Yang, Bo-Yin}, date = {2019}, journaltitle = {IACR Transactions on Cryptographic Hardware and Embedded Systems}, pages = {340--398}, title = {Fast constant-time gcd computation and modular inversion}, } @inproceedings{bridges2020:237, author = {Kap{ç}ak, Sinan}, editor = {Yackel, Carolyn and Bosch, Robert and Torrence, Eve and Fenyvesi, Kristóf}, location = {Phoenix, Arizona}, publisher = {Tessellations Publishing}, url = {http://archive.bridgesmathart.org/2020/bridges2020-237.html}, booktitle = {Proceedings of Bridges 2020: Mathematics, Art, Music, Architecture, Education, Culture}, date = {2020}, isbn = {978-1-938664-36-6}, issn = {1099-6702}, pages = {237--242}, title = {Algorithmic Art with Discrete Dynamical Systems}, } @article{Tetrapod2021, author = {Carette, Jacques and Farmer, William M. and Kohlhase, Michael and Rabe, Florian}, publisher = {Springer}, date = {2021}, journaltitle = {The Mathematical Intelligencer}, number = {1}, pages = {79--87}, title = {Big Math and the One-Brain Barrier: The Tetrapod Model of Mathematical Knowledge}, volume = {43}, } @article{AndersonCamaraPike2021, author = {Anderson, Jacqueline and Camara, Brian and Pike, John}, date = {2021}, journaltitle = {The American Mathematical Monthly}, number = {4}, pages = {337--351}, title = {Positional Voting and Doubly Stochastic Matrices}, volume = {128}, } @misc{Miesch2021, author = {Miesch, Katharina}, date = {2021}, howpublished = {Technische Universität Berlin}, note = {Bachelor thesis}, title = {Gitterangriffe auf RSA mit kleinem privaten Exponenten -- Einfluss der Parameter beim Aufbau der Gittermatrix}, } @inproceedings{BC21, author = {Bombar, Maxime and Couvreur, Alain}, editor = {Cheon, Jung Hee and Tillich, Jean-Pierre}, publisher = {Springer International Publishing}, url = {https://arxiv.org/abs/2103.02700}, booktitle = {Post-Quantum Cryptography}, date = {2021}, eventdate = {2021-07-20/2021-07-22}, eventtitle = {International Conference on Post-Quantum Cryptography}, isbn = {978-3-030-81293-5}, keywords = {Code-based cryptography ; Gabidulin codes ; Decoding ; Rank metric ; Cryptanalysis}, pages = {3--22}, series = {LNCS}, title = {Decoding Supercodes of Gabidulin Codes and Applications to Cryptanalysis}, venue = {Daejeon, South-Korea (Virtual)}, volume = {12841}, } @inproceedings{klisura2021embedding, author = {Klisura, {Ð}or{đ}e}, booktitle = {Proceedings of the 2021 7th Student Computer Science Research Conference}, date = {2021}, pages = {57}, title = {Embedding Non-planar Graphs: Storage and Representation}, } @article {Artaletal2017, AUTHOR = {Artal, E. and {Cassou-Nogu{\`e}s}, Pi. and Luengo, I. and Melle, A.}, TITLE = {Bernstein polynomial of 2-{P}uiseux pairs irreducible plane curve singularities}, JOURNAL = {Methods Appl. Anal.}, FJOURNAL = {Methods and Applications of Analysis}, VOLUME = {24}, YEAR = {2017}, NUMBER = {2}, PAGES = {185--214}, ISSN = {1073-2772}, DOI = {10.4310/MAA.2017.v24.n2.a2}, URL = {https://doi.org/10.4310/MAA.2017.v24.n2.a2}, } @article {ArtalLuengoMelle15, AUTHOR = {Artal, E. and Luengo, I. and Melle, A.}, TITLE = {High-school algebra of the theory of dicritical divisors: atypical fibers for special pencils and polynomials}, JOURNAL = {J. Algebra Appl.}, FJOURNAL = {Journal of Algebra and its Applications}, VOLUME = {14}, YEAR = {2015}, NUMBER = {9}, PAGES = {1540009, 26}, ISSN = {0219-4988}, DOI = {10.1142/S0219498815400095}, URL = {https://doi.org/10.1142/S0219498815400095}, } @article {ArtalCogolludoGuervilleMarco17, AUTHOR = {Artal, E. and Cogolludo, J.I. and Guerville, B. and Marco, M.}, TITLE = {An arithmetic {Z}ariski pair of line arrangements with non-isomorphic fundamental group}, JOURNAL = {Rev. R. Acad. Cienc. Exactas F{\'i}s. Nat. Ser. A Mat. RACSAM}, FJOURNAL = {Revista de la Real Academia de Ciencias Exactas, F{\'i}sicas y Naturales. Serie A. Matematicas. RACSAM}, VOLUME = {111}, YEAR = {2017}, NUMBER = {2}, PAGES = {377--402}, ISSN = {1578-7303}, DOI = {10.1007/s13398-016-0298-y}, URL = {https://doi.org/10.1007/s13398-016-0298-y}, } @incollection {ArtalCogolludoMartin21, AUTHOR = {Artal, E. and Cogolludo, J.I. and {Martín-Morales}, J.}, TITLE = {Cremona transformations of weighted projective planes, {Z}ariski pairs, and rational cuspidal curves}, BOOKTITLE = {Singularities and their interaction with geometry and low dimensional topology}, SERIES = {Trends Math.}, PAGES = {117--157}, PUBLISHER = {Birkh\"{a}user/Springer, Cham}, YEAR = {2021}, DOI = {10.1007/978-3-030-61958-9_7}, URL = {https://doi.org/10.1007/978-3-030-61958-9_7}, } @article{ArtalWahl2022, author = {Artal, E. and Wahl, J.}, date = {2022}, journaltitle = {J. Singul.}, note = {http://dx.doi.org/10.5427/jsing.2022.24e}, pages = {126--144}, title = {Fundamental group of rational homology disk smoothings of surface singularities}, volume = {24}, } @article {AABGGP22, AUTHOR = {{Alan{\'i}s-L{\'o}pez}, L. and Artal, E. and Bonatti, C. and {G{\'o}mez-Mont}, X. and {Gonz{\'a}lez Villa}, M. and {Portilla Cuadrado}, P.}, TITLE = {On a quadratic form associated with a surface automorphism and its applications to Singularity Theory}, JOURNAL = {Indag. Math. (N.S.)}, FJOURNAL = {Koninklijke Nederlandse Akademie van Wetenschappen. Indagationes Mathematicae. New Series}, VOLUME = {33}, YEAR = {2022}, NUMBER = {4}, PAGES = {816--843}, ISSN = {0019-3577}, MRCLASS = {14J17 (11E04 32S25)}, MRNUMBER = {4435901}, DOI = {10.1016/j.indag.2022.02.007}, URL = {https://doi.org/10.1016/j.indag.2022.02.007}, } @book {kapcak2023, author = {Kapçak, Sinan}, date = {2023}, title = {SageMath ile Matematik}, publisher = {Nesin Yayınevi}, note = {https://nesinkoyleri.org/wp-content/uploads/2023/06/sagemath_kitap_20230510.pdf}, isbn ="978-605-278-134-0" } @InProceedings{kapcak2023icdea, author="Kap{\c{c}}ak, Sinan", editor="Elaydi, Saber and Kulenovi{\'{c}}, Mustafa R. S. and Kalabu{\v{s}}i{\'{c}}, Senada", title="SageMath Tools for Stability and Bifurcation for Discrete Dynamical Systems", booktitle="Advances in Discrete Dynamical Systems, Difference Equations and Applications", year="2023", publisher="Springer International Publishing", address="Cham", pages="283--297", isbn="978-3-031-25225-9" } @thesis{Knapman2024, author = {Knapman, Ross}, institution = {Johannes Gutenberg University Mainz}, date = {2024}, note = {http://doi.org/10.25358/openscience-10397}, title = {Creation and Manipulation of Topological Magnetic Textures in Chiral and Frustrated Magnets}, type = {phdthesis}, } @misc{iwaki2024infinite, title={Infinite families of standard Cappell-Shaneson spheres}, author={Kazunori Iwaki}, year={2024}, eprint={2404.05096}, archivePrefix={arXiv}, primaryClass={math.GT} } @article{chen2024polygnn, title = {{PolyGNN}: Polyhedron-based graph neural network for {3D} building reconstruction from point clouds}, journal = {ISPRS Journal of Photogrammetry and Remote Sensing}, volume = {218}, pages = {693-706}, year = {2024}, issn = {0924-2716}, doi = {https://doi.org/10.1016/j.isprsjprs.2024.09.031}, url = {https://www.sciencedirect.com/science/article/pii/S0924271624003691}, author = {Zhaiyu Chen and Yilei Shi and Liangliang Nan and Zhitong Xiong and Xiao Xiang Zhu}, }