Please note that LibreCat no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
21 Publications
2016 | Misc | LibreCat-ID: 43454
M. Kirschmer, Definite quadratic and hermitian forms with small class number (Habilitation). RWTH Aachen University, 2016.
LibreCat
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.
LibreCat
| 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.
LibreCat
| DOI
2009 | Dissertation | LibreCat-ID: 43453
M. Kirschmer, Finite symplectic matrix groups (Dissertation). RWTH Aachen University, 2009.
LibreCat
2005 | Mastersthesis | LibreCat-ID: 43455
M. Kirschmer, Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit). Universität Ulm, 2005.
LibreCat