Kirschmer M, Klüners J. Chow groups of orders in number fields. Published online 2022.

Kirschmer M, Nebe G. Binary Hermitian Lattices over Number Fields. Experimental Mathematics. 2022;31(1):280-301. doi:10.1080/10586458.2019.1618756

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

Kirschmer M. Determinant groups of Hermitian lattices over local fields. Archiv der Mathematik. 2019;113(4):337-347. doi:10.1007/s00013-019-01348-z

Kirschmer M, Nebe G. Quaternary quadratic lattices over number fields. International Journal of Number Theory. 2019;15(02):309-325. doi:10.1142/s1793042119500131

Kirschmer M. Automorphisms of even unimodular lattices over number fields. Journal of Number Theory. 2019;197:121-134. doi:10.1016/j.jnt.2018.08.004

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

Kirschmer M. One-class genera of exceptional groups over number fields. Journal de Théorie des Nombres de Bordeaux. 2018;30(3):847-857. doi:10.5802/jtnb.1052

Kirschmer M, Rüther MG. The constructive membership problem for discrete two-generator subgroups of SL(2,R). Journal of Algebra. 2017;480:519-548. doi:10.1016/j.jalgebra.2017.02.029

Kirschmer M, Lorch D. Ternary quadratic forms over number fields with small class number. Journal of Number Theory. 2016;161:343-361. doi:10.1016/j.jnt.2014.11.001

Kirschmer M. Definite Quadratic and Hermitian Forms with Small Class Number (Habilitation).; 2016.

Kirschmer M. One-class genera of maximal integral quadratic forms. Journal of Number Theory. 2014;136:375-393. doi:10.1016/j.jnt.2013.10.007

Kirschmer M, LEEDHAM-GREEN C. Computing with subgroups of the modular group . Glasgow Mathematical Journal. 2014;57(1):173-180. doi:10.1017/s0017089514000202

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

Kirschmer M, Mertens MH. On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves. In: Integers. DE GRUYTER; 2013. doi:10.1515/9783110298161.212

Lorch D, Kirschmer M. Single-class genera of positive integral lattices. LMS Journal of Computation and Mathematics. 2013;16:172-186. doi:10.1112/s1461157013000107

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

Kirschmer M. Finite Symplectic Matrix Groups. Experimental Mathematics. 2011;20(2):217-228. doi:10.1080/10586458.2011.564964

Kirschmer M, Voight J. Algorithmic Enumeration of Ideal Classes for Quaternion Orders. SIAM Journal on Computing. 2010;39(5):1714-1747. doi:10.1137/080734467

Kirschmer M. Finite Symplectic Matrix Groups (Dissertation).; 2009.