Kirschmer, Markus, and Jürgen  Klüners. “Chow Groups of Orders in Number Fields,” 2022.
LibreCat: /record/43392

Kirschmer, Markus, and Gabriele Nebe. “Binary Hermitian Lattices over Number Fields.”https://doi.org/10.1080/10586458.2019.1618756__Experimental Mathematics 31, no. 1 (2022): 280–301.https://doi.org/10.1080/10586458.2019.1618756 .
LibreCat: /record/45854
DOI: 10.1080/10586458.2019.1618756

Kirschmer, Markus, Fabien Narbonne, Christophe Ritzenthaler, and Damien Robert. “Spanning the Isogeny Class of a Power of an Elliptic Curve.”https://doi.org/10.1090/mcom/3672__Mathematics of Computation 91, no. 333 (2021): 401–49.https://doi.org/10.1090/mcom/3672 .
LibreCat: /record/34912
DOI: 10.1090/mcom/3672

Kirschmer, Markus. “Determinant Groups of Hermitian Lattices over Local Fields.”https://doi.org/10.1007/s00013-019-01348-z__Archiv Der Mathematik 113, no. 4 (2019): 337–47.https://doi.org/10.1007/s00013-019-01348-z .
LibreCat: /record/34915
DOI: 10.1007/s00013-019-01348-z

Kirschmer, Markus, and Gabriele Nebe. “Quaternary Quadratic Lattices over Number Fields.”https://doi.org/10.1142/s1793042119500131__International Journal of Number Theory 15, no. 02 (2019): 309–25.https://doi.org/10.1142/s1793042119500131 .
LibreCat: /record/34917
DOI: 10.1142/s1793042119500131

Kirschmer, Markus. “Automorphisms of Even Unimodular Lattices over Number Fields.”https://doi.org/10.1016/j.jnt.2018.08.004__Journal of Number Theory 197 (2019): 121–34.https://doi.org/10.1016/j.jnt.2018.08.004 .
LibreCat: /record/34916
DOI: 10.1016/j.jnt.2018.08.004

Kirschmer, Markus, and Gabriele Nebe. “One Class Genera of Lattice Chains Over Number Fields.”https://doi.org/10.1007/978-3-319-70566-8_22__In Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory. Cham: Springer International Publishing, 2018.https://doi.org/10.1007/978-3-319-70566-8_22 .
LibreCat: /record/42788
DOI: 10.1007/978-3-319-70566-8_22

Kirschmer, Markus. “One-Class Genera of Exceptional Groups over Number Fields.”https://doi.org/10.5802/jtnb.1052__Journal de Théorie Des Nombres de Bordeaux 30, no. 3 (2018): 847–57.https://doi.org/10.5802/jtnb.1052 .
LibreCat: /record/42790
DOI: 10.5802/jtnb.1052

Kirschmer, Markus, and Marion G. Rüther. “The Constructive Membership Problem for Discrete Two-Generator Subgroups of SL(2,R).”https://doi.org/10.1016/j.jalgebra.2017.02.029__Journal of Algebra 480 (2017): 519–48.https://doi.org/10.1016/j.jalgebra.2017.02.029 .
LibreCat: /record/42791
DOI: 10.1016/j.jalgebra.2017.02.029

Kirschmer, Markus, and David Lorch. “Ternary Quadratic Forms over Number Fields with Small Class Number.”https://doi.org/10.1016/j.jnt.2014.11.001__Journal of Number Theory 161 (2016): 343–61.https://doi.org/10.1016/j.jnt.2014.11.001 .
LibreCat: /record/42792
DOI: 10.1016/j.jnt.2014.11.001

Kirschmer, Markus. Definite Quadratic and Hermitian Forms with Small Class Number (Habilitation). RWTH Aachen University, 2016.
LibreCat: /record/43454

Kirschmer, Markus. “One-Class Genera of Maximal Integral Quadratic Forms.”https://doi.org/10.1016/j.jnt.2013.10.007__Journal of Number Theory 136 (2014): 375–93.https://doi.org/10.1016/j.jnt.2013.10.007 .
LibreCat: /record/42793
DOI: 10.1016/j.jnt.2013.10.007

Kirschmer, Markus, and CHARLES LEEDHAM-GREEN. “Computing with Subgroups of the Modular Group .”https://doi.org/10.1017/s0017089514000202__Glasgow Mathematical Journal 57, no. 1 (2014): 173–80.https://doi.org/10.1017/s0017089514000202 .
LibreCat: /record/42801
DOI: 10.1017/s0017089514000202

Eick, B., Markus Kirschmer, and C. Leedham-Green. “The Constructive Membership Problem for Discrete Free Subgroups of Rank 2 of SL(R).”https://doi.org/10.1112/s1461157014000047__LMS Journal of Computation and Mathematics 17, no. 1 (2014): 345–59.https://doi.org/10.1112/s1461157014000047 .
LibreCat: /record/42794
DOI: 10.1112/s1461157014000047

Kirschmer, Markus, and Michael H. Mertens. “On an Analogue to the Lucas-Lehmer-Riesel Test Using Elliptic Curves.”https://doi.org/10.1515/9783110298161.212__In Integers. DE GRUYTER, 2013.https://doi.org/10.1515/9783110298161.212 .
LibreCat: /record/42805
DOI: 10.1515/9783110298161.212

Lorch, David, and Markus Kirschmer. “Single-Class Genera of Positive Integral Lattices.”https://doi.org/10.1112/s1461157013000107__LMS Journal of Computation and Mathematics 16 (2013): 172–86.https://doi.org/10.1112/s1461157013000107 .
LibreCat: /record/42796
DOI: 10.1112/s1461157013000107

Kirschmer, Markus. “A Normal Form for Definite Quadratic Forms over $\'6dathbbF_q[t]$.”https://doi.org/10.1090/s0025-5718-2011-02570-6__Mathematics of Computation 81, no. 279 (2012): 1619–34.https://doi.org/10.1090/s0025-5718-2011-02570-6 .
LibreCat: /record/42797
DOI: 10.1090/s0025-5718-2011-02570-6

Kirschmer, Markus. “Finite Symplectic Matrix Groups.”https://doi.org/10.1080/10586458.2011.564964__Experimental Mathematics 20, no. 2 (2011): 217–28.https://doi.org/10.1080/10586458.2011.564964 .
LibreCat: /record/42798
DOI: 10.1080/10586458.2011.564964

Kirschmer, Markus, and John Voight. “Algorithmic Enumeration of Ideal Classes for Quaternion Orders.”https://doi.org/10.1137/080734467__SIAM Journal on Computing 39, no. 5 (2010): 1714–47.https://doi.org/10.1137/080734467 .
LibreCat: /record/42803
DOI: 10.1137/080734467

Kirschmer, Markus. Finite Symplectic Matrix Groups (Dissertation). RWTH Aachen University, 2009.
LibreCat: /record/43453