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21 Publications
2019 | Journal Article | LibreCat-ID: 34916
M. Kirschmer, “Automorphisms of even unimodular lattices over number fields,” Journal of Number Theory, vol. 197, pp. 121–134, 2019, doi: 10.1016/j.jnt.2018.08.004.
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| DOI
2018 | Journal Article | LibreCat-ID: 42790
M. Kirschmer, “One-class genera of exceptional groups over number fields,” Journal de Théorie des Nombres de Bordeaux, vol. 30, no. 3, pp. 847–857, 2018, doi: 10.5802/jtnb.1052.
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| DOI
2017 | Journal Article | LibreCat-ID: 42791
M. Kirschmer and M. G. Rüther, “The constructive membership problem for discrete two-generator subgroups of SL(2,R),” Journal of Algebra, vol. 480, pp. 519–548, 2017, doi: 10.1016/j.jalgebra.2017.02.029.
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| DOI
2016 | Journal Article | LibreCat-ID: 42792
M. Kirschmer and D. Lorch, “Ternary quadratic forms over number fields with small class number,” Journal of Number Theory, vol. 161, pp. 343–361, 2016, doi: 10.1016/j.jnt.2014.11.001.
LibreCat
| DOI
2016 | Misc | LibreCat-ID: 43454
M. Kirschmer, Definite quadratic and hermitian forms with small class number (Habilitation). RWTH Aachen University, 2016.
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2014 | Journal Article | LibreCat-ID: 42793
M. Kirschmer, “One-class genera of maximal integral quadratic forms,” Journal of Number Theory, vol. 136, pp. 375–393, 2014, doi: 10.1016/j.jnt.2013.10.007.
LibreCat
| DOI
2014 | Journal Article | LibreCat-ID: 42801
M. Kirschmer and C. LEEDHAM-GREEN, “Computing with subgroups of the modular group ,” Glasgow Mathematical Journal, vol. 57, no. 1, pp. 173–180, 2014, doi: 10.1017/s0017089514000202.
LibreCat
| DOI
2014 | Journal Article | LibreCat-ID: 42794
B. Eick, M. Kirschmer, and C. Leedham-Green, “The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R),” LMS Journal of Computation and Mathematics, vol. 17, no. 1, pp. 345–359, 2014, doi: 10.1112/s1461157014000047.
LibreCat
| DOI
2013 | Journal Article | LibreCat-ID: 42796
D. Lorch and M. Kirschmer, “Single-class genera of positive integral lattices,” LMS Journal of Computation and Mathematics, vol. 16, pp. 172–186, 2013, doi: 10.1112/s1461157013000107.
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 42797
M. Kirschmer, “A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$,” Mathematics of Computation, vol. 81, no. 279, pp. 1619–1634, 2012, doi: 10.1090/s0025-5718-2011-02570-6.
LibreCat
| DOI
2011 | Journal Article | LibreCat-ID: 42798
M. Kirschmer, “Finite Symplectic Matrix Groups,” Experimental Mathematics, vol. 20, no. 2, pp. 217–228, 2011, doi: 10.1080/10586458.2011.564964.
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| DOI
2010 | Journal Article | LibreCat-ID: 42803
M. Kirschmer and J. Voight, “Algorithmic Enumeration of Ideal Classes for Quaternion Orders,” SIAM Journal on Computing, vol. 39, no. 5, pp. 1714–1747, 2010, doi: 10.1137/080734467.
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| DOI
2009 | Dissertation | LibreCat-ID: 43453
M. Kirschmer, Finite symplectic matrix groups (Dissertation). RWTH Aachen University, 2009.
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2005 | Mastersthesis | LibreCat-ID: 43455
M. Kirschmer, Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit). Universität Ulm, 2005.
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