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.”10.1080/10586458.2019.1618756__Experimental Mathematics, vol. 31, no. 1, Informa UK Limited, 2022, pp. 280–301, doi:10.1080/10586458.2019.1618756.
LibreCat: /record/45854
DOI: 10.1080/10586458.2019.1618756

Kirschmer, Markus, et al. “Spanning the Isogeny Class of a Power of an Elliptic Curve.”10.1090/mcom/3672__Mathematics of Computation, vol. 91, no. 333, American Mathematical Society (AMS), 2021, pp. 401–49, doi:10.1090/mcom/3672.
LibreCat: /record/34912
DOI: 10.1090/mcom/3672

Kirschmer, Markus. “Determinant Groups of Hermitian Lattices over Local Fields.”10.1007/s00013-019-01348-z__Archiv Der Mathematik, vol. 113, no. 4, Springer Science and Business Media LLC, 2019, pp. 337–47, doi: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.”10.1142/s1793042119500131__International Journal of Number Theory, vol. 15, no. 02, World Scientific Pub Co Pte Lt, 2019, pp. 309–25, doi:10.1142/s1793042119500131.
LibreCat: /record/34917
DOI: 10.1142/s1793042119500131

Kirschmer, Markus. “Automorphisms of Even Unimodular Lattices over Number Fields.”10.1016/j.jnt.2018.08.004__Journal of Number Theory, vol. 197, Elsevier BV, 2019, pp. 121–34, doi: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.”10.1007/978-3-319-70566-8_22__Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, Springer International Publishing, 2018, doi: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.”10.5802/jtnb.1052__Journal de Théorie Des Nombres de Bordeaux, vol. 30, no. 3, Cellule MathDoc/CEDRAM, 2018, pp. 847–57, doi: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).”10.1016/j.jalgebra.2017.02.029__Journal of Algebra, vol. 480, Elsevier BV, 2017, pp. 519–48, doi: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.”10.1016/j.jnt.2014.11.001__Journal of Number Theory, vol. 161, Elsevier BV, 2016, pp. 343–61, doi: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). 2016.
LibreCat: /record/43454

Kirschmer, Markus. “One-Class Genera of Maximal Integral Quadratic Forms.”10.1016/j.jnt.2013.10.007__Journal of Number Theory, vol. 136, Elsevier BV, 2014, pp. 375–93, doi: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 .”10.1017/s0017089514000202__Glasgow Mathematical Journal, vol. 57, no. 1, Cambridge University Press (CUP), 2014, pp. 173–80, doi:10.1017/s0017089514000202.
LibreCat: /record/42801
DOI: 10.1017/s0017089514000202

Eick, B., et al. “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, Wiley, 2014, pp. 345–59, doi: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.”10.1515/9783110298161.212__Integers, DE GRUYTER, 2013, doi:10.1515/9783110298161.212.
LibreCat: /record/42805
DOI: 10.1515/9783110298161.212

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

Kirschmer, Markus. “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, American Mathematical Society (AMS), 2012, pp. 1619–34, doi:10.1090/s0025-5718-2011-02570-6.
LibreCat: /record/42797
DOI: 10.1090/s0025-5718-2011-02570-6

Kirschmer, Markus. “Finite Symplectic Matrix Groups.”10.1080/10586458.2011.564964__Experimental Mathematics, vol. 20, no. 2, Informa UK Limited, 2011, pp. 217–28, doi: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.”10.1137/080734467__SIAM Journal on Computing, vol. 39, no. 5, Society for Industrial &; Applied Mathematics (SIAM), 2010, pp. 1714–47, doi:10.1137/080734467.
LibreCat: /record/42803
DOI: 10.1137/080734467

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