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21 Publications
2019 | Journal Article | LibreCat-ID: 34916
Kirschmer, Markus. “Automorphisms of Even Unimodular Lattices over Number Fields.” Journal of Number Theory, vol. 197, Elsevier BV, 2019, pp. 121–34, doi:10.1016/j.jnt.2018.08.004.
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| DOI
2018 | Book Chapter | LibreCat-ID: 42788
Kirschmer, Markus, and Gabriele Nebe. “One Class Genera of Lattice Chains Over Number Fields.” Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, Springer International Publishing, 2018, doi:10.1007/978-3-319-70566-8_22.
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| DOI
2018 | Journal Article | LibreCat-ID: 42790
Kirschmer, Markus. “One-Class Genera of Exceptional Groups over Number Fields.” Journal de Théorie Des Nombres de Bordeaux, vol. 30, no. 3, Cellule MathDoc/CEDRAM, 2018, pp. 847–57, doi:10.5802/jtnb.1052.
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| DOI
2017 | Journal Article | LibreCat-ID: 42791
Kirschmer, Markus, and Marion G. Rüther. “The Constructive Membership Problem for Discrete Two-Generator Subgroups of SL(2,R).” Journal of Algebra, vol. 480, Elsevier BV, 2017, pp. 519–48, doi:10.1016/j.jalgebra.2017.02.029.
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| DOI
2016 | Journal Article | LibreCat-ID: 42792
Kirschmer, Markus, and David Lorch. “Ternary Quadratic Forms over Number Fields with Small Class Number.” Journal of Number Theory, vol. 161, Elsevier BV, 2016, pp. 343–61, doi:10.1016/j.jnt.2014.11.001.
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| DOI
2016 | Misc | LibreCat-ID: 43454
Kirschmer, Markus. Definite Quadratic and Hermitian Forms with Small Class Number (Habilitation). 2016.
LibreCat
2014 | Journal Article | LibreCat-ID: 42793
Kirschmer, Markus. “One-Class Genera of Maximal Integral Quadratic Forms.” Journal of Number Theory, vol. 136, Elsevier BV, 2014, pp. 375–93, doi:10.1016/j.jnt.2013.10.007.
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| DOI
2014 | Journal Article | LibreCat-ID: 42801
Kirschmer, Markus, and CHARLES LEEDHAM-GREEN. “Computing with Subgroups of the Modular Group .” Glasgow Mathematical Journal, vol. 57, no. 1, Cambridge University Press (CUP), 2014, pp. 173–80, doi:10.1017/s0017089514000202.
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| DOI
2014 | Journal Article | LibreCat-ID: 42794
Eick, B., et al. “The Constructive Membership Problem for Discrete Free Subgroups of Rank 2 of SL₂(R).” LMS Journal of Computation and Mathematics, vol. 17, no. 1, Wiley, 2014, pp. 345–59, doi:10.1112/s1461157014000047.
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| DOI
2013 | Book Chapter | LibreCat-ID: 42805
Kirschmer, Markus, and Michael H. Mertens. “On an Analogue to the Lucas-Lehmer-Riesel Test Using Elliptic Curves.” Integers, DE GRUYTER, 2013, doi:10.1515/9783110298161.212.
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| DOI
2013 | Journal Article | LibreCat-ID: 42796
Lorch, David, and Markus Kirschmer. “Single-Class Genera of Positive Integral Lattices.” LMS Journal of Computation and Mathematics, vol. 16, Wiley, 2013, pp. 172–86, doi:10.1112/s1461157013000107.
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| DOI
2012 | Journal Article | LibreCat-ID: 42797
Kirschmer, Markus. “A Normal Form for Definite Quadratic Forms over $\mathbb{F}_{q}[t]$.” Mathematics of Computation, vol. 81, no. 279, American Mathematical Society (AMS), 2012, pp. 1619–34, doi:10.1090/s0025-5718-2011-02570-6.
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| DOI
2011 | Journal Article | LibreCat-ID: 42798
Kirschmer, Markus. “Finite Symplectic Matrix Groups.” Experimental Mathematics, vol. 20, no. 2, Informa UK Limited, 2011, pp. 217–28, doi:10.1080/10586458.2011.564964.
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| DOI
2010 | Journal Article | LibreCat-ID: 42803
Kirschmer, Markus, and John Voight. “Algorithmic Enumeration of Ideal Classes for Quaternion Orders.” SIAM Journal on Computing, vol. 39, no. 5, Society for Industrial & Applied Mathematics (SIAM), 2010, pp. 1714–47, doi:10.1137/080734467.
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| DOI
2009 | Dissertation | LibreCat-ID: 43453
Kirschmer, Markus. Finite Symplectic Matrix Groups (Dissertation). 2009.
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2005 | Mastersthesis | LibreCat-ID: 43455
Kirschmer, Markus. Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit). 2005.
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