Chow groups of orders in number fields
M. Kirschmer, J. Klüners, (2022).

Binary Hermitian Lattices over Number Fields
M. Kirschmer, G. Nebe, Experimental Mathematics 31 (2022) 280–301.

Spanning the isogeny class of a power of an elliptic curve
M. Kirschmer, F. Narbonne, C. Ritzenthaler, D. Robert, Mathematics of Computation 91 (2021) 401–449.

Determinant groups of Hermitian lattices over local fields
M. Kirschmer, Archiv Der Mathematik 113 (2019) 337–347.

Quaternary quadratic lattices over number fields
M. Kirschmer, G. Nebe, International Journal of Number Theory 15 (2019) 309–325.

Automorphisms of even unimodular lattices over number fields
M. Kirschmer, Journal of Number Theory 197 (2019) 121–134.

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

One-class genera of exceptional groups over number fields
M. Kirschmer, Journal de Théorie Des Nombres de Bordeaux 30 (2018) 847–857.

The constructive membership problem for discrete two-generator subgroups of SL(2,R)
M. Kirschmer, M.G. Rüther, Journal of Algebra 480 (2017) 519–548.

Ternary quadratic forms over number fields with small class number
M. Kirschmer, D. Lorch, Journal of Number Theory 161 (2016) 343–361.

Definite quadratic and hermitian forms with small class number (Habilitation)
M. Kirschmer, Definite Quadratic and Hermitian Forms with Small Class Number (Habilitation), RWTH Aachen University, 2016.

One-class genera of maximal integral quadratic forms
M. Kirschmer, Journal of Number Theory 136 (2014) 375–393.

Computing with subgroups of the modular group 
M. Kirschmer, C. LEEDHAM-GREEN, Glasgow Mathematical Journal 57 (2014) 173–180.

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

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

Single-class genera of positive integral lattices
D. Lorch, M. Kirschmer, LMS Journal of Computation and Mathematics 16 (2013) 172–186.

A normal form for definite quadratic forms over $\'6dathbbF_q[t]$
M. Kirschmer, Mathematics of Computation 81 (2012) 1619–1634.

Finite Symplectic Matrix Groups
M. Kirschmer, Experimental Mathematics 20 (2011) 217–228.

Algorithmic Enumeration of Ideal Classes for Quaternion Orders
M. Kirschmer, J. Voight, SIAM Journal on Computing 39 (2010) 1714–1747.

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