Kirschmer, M., &; Klüners, J. (2022). Chow groups of orders in number fields.
LibreCat: /record/43392

Kirschmer, M., &; Nebe, G. (2022). Binary Hermitian Lattices over Number Fields. Experimental Mathematics, 31(1), 280–301.https://doi.org/10.1080/10586458.2019.1618756 
LibreCat: /record/45854
DOI: 10.1080/10586458.2019.1618756

Kirschmer, M., Narbonne, F., Ritzenthaler, C., &; Robert, D. (2021). Spanning the isogeny class of a power of an elliptic curve. Mathematics of Computation, 91(333), 401–449.https://doi.org/10.1090/mcom/3672 
LibreCat: /record/34912
DOI: 10.1090/mcom/3672

Kirschmer, M. (2019). Determinant groups of Hermitian lattices over local fields. Archiv Der Mathematik, 113(4), 337–347.https://doi.org/10.1007/s00013-019-01348-z 
LibreCat: /record/34915
DOI: 10.1007/s00013-019-01348-z

Kirschmer, M., &; Nebe, G. (2019). Quaternary quadratic lattices over number fields. International Journal of Number Theory, 15(02), 309–325.https://doi.org/10.1142/s1793042119500131 
LibreCat: /record/34917
DOI: 10.1142/s1793042119500131

Kirschmer, M. (2019). Automorphisms of even unimodular lattices over number fields. Journal of Number Theory, 197, 121–134.https://doi.org/10.1016/j.jnt.2018.08.004 
LibreCat: /record/34916
DOI: 10.1016/j.jnt.2018.08.004

Kirschmer, M., &; Nebe, G. (2018). One Class Genera of Lattice Chains Over Number Fields. In Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory. Springer International Publishing.https://doi.org/10.1007/978-3-319-70566-8_22 
LibreCat: /record/42788
DOI: 10.1007/978-3-319-70566-8_22

Kirschmer, M. (2018). One-class genera of exceptional groups over number fields. Journal de Théorie Des Nombres de Bordeaux, 30(3), 847–857.https://doi.org/10.5802/jtnb.1052 
LibreCat: /record/42790
DOI: 10.5802/jtnb.1052

Kirschmer, M., &; Rüther, M. G. (2017). The constructive membership problem for discrete two-generator subgroups of SL(2,R). Journal of Algebra, 480, 519–548.https://doi.org/10.1016/j.jalgebra.2017.02.029 
LibreCat: /record/42791
DOI: 10.1016/j.jalgebra.2017.02.029

Kirschmer, M., &; Lorch, D. (2016). Ternary quadratic forms over number fields with small class number. Journal of Number Theory, 161, 343–361.https://doi.org/10.1016/j.jnt.2014.11.001 
LibreCat: /record/42792
DOI: 10.1016/j.jnt.2014.11.001

Kirschmer, M. (2016). Definite quadratic and hermitian forms with small class number (Habilitation).
LibreCat: /record/43454

Kirschmer, M. (2014). One-class genera of maximal integral quadratic forms. Journal of Number Theory, 136, 375–393.https://doi.org/10.1016/j.jnt.2013.10.007 
LibreCat: /record/42793
DOI: 10.1016/j.jnt.2013.10.007

Kirschmer, M., &; LEEDHAM-GREEN, C. (2014). Computing with subgroups of the modular group . Glasgow Mathematical Journal, 57(1), 173–180.https://doi.org/10.1017/s0017089514000202 
LibreCat: /record/42801
DOI: 10.1017/s0017089514000202

Eick, B., Kirschmer, M., &; Leedham-Green, C. (2014). The constructive membership problem for discrete free subgroups of rank 2 of SL(R). LMS Journal of Computation and Mathematics, 17(1), 345–359.https://doi.org/10.1112/s1461157014000047 
LibreCat: /record/42794
DOI: 10.1112/s1461157014000047

Kirschmer, M., &; Mertens, M. H. (2013). On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves. In Integers. DE GRUYTER.https://doi.org/10.1515/9783110298161.212 
LibreCat: /record/42805
DOI: 10.1515/9783110298161.212

Lorch, D., &; Kirschmer, M. (2013). Single-class genera of positive integral lattices. LMS Journal of Computation and Mathematics, 16, 172–186.https://doi.org/10.1112/s1461157013000107 
LibreCat: /record/42796
DOI: 10.1112/s1461157013000107

Kirschmer, M. (2012). A normal form for definite quadratic forms over $\'6dathbbF_q[t]$. Mathematics of Computation, 81(279), 1619–1634.https://doi.org/10.1090/s0025-5718-2011-02570-6 
LibreCat: /record/42797
DOI: 10.1090/s0025-5718-2011-02570-6

Kirschmer, M. (2011). Finite Symplectic Matrix Groups. Experimental Mathematics, 20(2), 217–228.https://doi.org/10.1080/10586458.2011.564964 
LibreCat: /record/42798
DOI: 10.1080/10586458.2011.564964

Kirschmer, M., &; Voight, J. (2010). Algorithmic Enumeration of Ideal Classes for Quaternion Orders. SIAM Journal on Computing, 39(5), 1714–1747.https://doi.org/10.1137/080734467 
LibreCat: /record/42803
DOI: 10.1137/080734467

Kirschmer, M. (2009). Finite symplectic matrix groups (Dissertation).
LibreCat: /record/43453