M. Kirschmer and J. Klüners, “Chow groups of orders in number fields.” 2022.

M. Kirschmer and G. Nebe, “Binary Hermitian Lattices over Number Fields,”10.1080/10586458.2019.1618756__Experimental Mathematics, vol. 31, no. 1, pp. 280–301, 2022, doi:10.1080/10586458.2019.1618756 .

M. Kirschmer, F. Narbonne, C. Ritzenthaler, and D. Robert, “Spanning the isogeny class of a power of an elliptic curve,”10.1090/mcom/3672__Mathematics of Computation, vol. 91, no. 333, pp. 401–449, 2021, doi:10.1090/mcom/3672 .

M. Kirschmer, “Determinant groups of Hermitian lattices over local fields,”10.1007/s00013-019-01348-z__Archiv der Mathematik, vol. 113, no. 4, pp. 337–347, 2019, doi:10.1007/s00013-019-01348-z .

M. Kirschmer and G. Nebe, “Quaternary quadratic lattices over number fields,”10.1142/s1793042119500131__International Journal of Number Theory, vol. 15, no. 02, pp. 309–325, 2019, doi:10.1142/s1793042119500131 .

M. Kirschmer, “Automorphisms of even unimodular lattices over number fields,”10.1016/j.jnt.2018.08.004__Journal of Number Theory, vol. 197, pp. 121–134, 2019, doi:10.1016/j.jnt.2018.08.004 .

M. Kirschmer and G. Nebe, “One Class Genera of Lattice Chains Over Number Fields,” in Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, Cham: Springer International Publishing, 2018.

M. Kirschmer, “One-class genera of exceptional groups over number fields,”10.5802/jtnb.1052__Journal de Théorie des Nombres de Bordeaux, vol. 30, no. 3, pp. 847–857, 2018, doi:10.5802/jtnb.1052 .

M. Kirschmer and M. G. Rüther, “The constructive membership problem for discrete two-generator subgroups of SL(2,R),”10.1016/j.jalgebra.2017.02.029__Journal of Algebra, vol. 480, pp. 519–548, 2017, doi:10.1016/j.jalgebra.2017.02.029 .

M. Kirschmer and D. Lorch, “Ternary quadratic forms over number fields with small class number,”10.1016/j.jnt.2014.11.001__Journal of Number Theory, vol. 161, pp. 343–361, 2016, doi:10.1016/j.jnt.2014.11.001 .

M. Kirschmer, Definite quadratic and hermitian forms with small class number (Habilitation). RWTH Aachen University, 2016.

M. Kirschmer, “One-class genera of maximal integral quadratic forms,”10.1016/j.jnt.2013.10.007__Journal of Number Theory, vol. 136, pp. 375–393, 2014, doi:10.1016/j.jnt.2013.10.007 .

M. Kirschmer and C. LEEDHAM-GREEN, “Computing with subgroups of the modular group ,”10.1017/s0017089514000202__Glasgow Mathematical Journal, vol. 57, no. 1, pp. 173–180, 2014, doi:10.1017/s0017089514000202 .

B. Eick, M. Kirschmer, and C. Leedham-Green, “The constructive membership problem for discrete free subgroups of rank 2 of SL(R),”10.1112/s1461157014000047__LMS Journal of Computation and Mathematics, vol. 17, no. 1, pp. 345–359, 2014, doi:10.1112/s1461157014000047 .

M. Kirschmer and M. H. Mertens, “On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves,” in Integers, DE GRUYTER, 2013.

D. Lorch and M. Kirschmer, “Single-class genera of positive integral lattices,”10.1112/s1461157013000107__LMS Journal of Computation and Mathematics, vol. 16, pp. 172–186, 2013, doi:10.1112/s1461157013000107 .

M. Kirschmer, “A normal form for definite quadratic forms over $\'6dathbbF_q[t]$,”10.1090/s0025-5718-2011-02570-6__Mathematics of Computation, vol. 81, no. 279, pp. 1619–1634, 2012, doi:10.1090/s0025-5718-2011-02570-6 .

M. Kirschmer, “Finite Symplectic Matrix Groups,”10.1080/10586458.2011.564964__Experimental Mathematics, vol. 20, no. 2, pp. 217–228, 2011, doi:10.1080/10586458.2011.564964 .

M. Kirschmer and J. Voight, “Algorithmic Enumeration of Ideal Classes for Quaternion Orders,”10.1137/080734467__SIAM Journal on Computing, vol. 39, no. 5, pp. 1714–1747, 2010, doi:10.1137/080734467 .

M. Kirschmer, Finite symplectic matrix groups (Dissertation). RWTH Aachen University, 2009.