Markus Kirschmer

markus.kirschmer@uni-paderborn.de
ID
82258

21 Publications

Mark all

[21]
2022 | Preprint | LibreCat-ID: 43392
Kirschmer, M., & Klüners, J. (2022). Chow groups of orders in number fields.
LibreCat
 
[20]
2022 | Journal Article | LibreCat-ID: 45854
Kirschmer, M., & Nebe, G. (2022). Binary Hermitian Lattices over Number Fields. Experimental Mathematics, 31(1), 280–301. https://doi.org/10.1080/10586458.2019.1618756
LibreCat | DOI
 
[19]
2021 | Journal Article | LibreCat-ID: 34912
Kirschmer, M., Narbonne, F., Ritzenthaler, C., & Robert, D. (2021). Spanning the isogeny class of a power of an elliptic curve. Mathematics of Computation, 91(333), 401–449. https://doi.org/10.1090/mcom/3672
LibreCat | DOI
 
[18]
2019 | Journal Article | LibreCat-ID: 34915
Kirschmer, M. (2019). Determinant groups of Hermitian lattices over local fields. Archiv Der Mathematik, 113(4), 337–347. https://doi.org/10.1007/s00013-019-01348-z
LibreCat | DOI
 
[17]
2019 | Journal Article | LibreCat-ID: 34917
Kirschmer, M., & Nebe, G. (2019). Quaternary quadratic lattices over number fields. International Journal of Number Theory, 15(02), 309–325. https://doi.org/10.1142/s1793042119500131
LibreCat | DOI
 
[16]
2019 | Journal Article | LibreCat-ID: 34916
Kirschmer, M. (2019). Automorphisms of even unimodular lattices over number fields. Journal of Number Theory, 197, 121–134. https://doi.org/10.1016/j.jnt.2018.08.004
LibreCat | DOI
 
[15]
2018 | Book Chapter | LibreCat-ID: 42788
Kirschmer, M., & Nebe, G. (2018). One Class Genera of Lattice Chains Over Number Fields. In Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory. Springer International Publishing. https://doi.org/10.1007/978-3-319-70566-8_22
LibreCat | DOI
 
[14]
2018 | Journal Article | LibreCat-ID: 42790
Kirschmer, M. (2018). One-class genera of exceptional groups over number fields. Journal de Théorie Des Nombres de Bordeaux, 30(3), 847–857. https://doi.org/10.5802/jtnb.1052
LibreCat | DOI
 
[13]
2017 | Journal Article | LibreCat-ID: 42791
Kirschmer, M., & Rüther, M. G. (2017). The constructive membership problem for discrete two-generator subgroups of SL(2,R). Journal of Algebra, 480, 519–548. https://doi.org/10.1016/j.jalgebra.2017.02.029
LibreCat | DOI
 
[12]
2016 | Journal Article | LibreCat-ID: 42792
Kirschmer, M., & Lorch, D. (2016). Ternary quadratic forms over number fields with small class number. Journal of Number Theory, 161, 343–361. https://doi.org/10.1016/j.jnt.2014.11.001
LibreCat | DOI
 
[11]
2016 | Misc | LibreCat-ID: 43454
Kirschmer, M. (2016). Definite quadratic and hermitian forms with small class number (Habilitation).
LibreCat
 
[10]
2014 | Journal Article | LibreCat-ID: 42793
Kirschmer, M. (2014). One-class genera of maximal integral quadratic forms. Journal of Number Theory, 136, 375–393. https://doi.org/10.1016/j.jnt.2013.10.007
LibreCat | DOI
 
[9]
2014 | Journal Article | LibreCat-ID: 42801
Kirschmer, M., & LEEDHAM-GREEN, C. (2014). Computing with subgroups of the modular group . Glasgow Mathematical Journal, 57(1), 173–180. https://doi.org/10.1017/s0017089514000202
LibreCat | DOI
 
[8]
2014 | Journal Article | LibreCat-ID: 42794
Eick, B., Kirschmer, M., & Leedham-Green, C. (2014). The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R). LMS Journal of Computation and Mathematics, 17(1), 345–359. https://doi.org/10.1112/s1461157014000047
LibreCat | DOI
 
[7]
2013 | Book Chapter | LibreCat-ID: 42805
Kirschmer, M., & Mertens, M. H. (2013). On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves. In Integers. DE GRUYTER. https://doi.org/10.1515/9783110298161.212
LibreCat | DOI
 
[6]
2013 | Journal Article | LibreCat-ID: 42796
Lorch, D., & Kirschmer, M. (2013). Single-class genera of positive integral lattices. LMS Journal of Computation and Mathematics, 16, 172–186. https://doi.org/10.1112/s1461157013000107
LibreCat | DOI
 
[5]
2012 | Journal Article | LibreCat-ID: 42797
Kirschmer, M. (2012). A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$. Mathematics of Computation, 81(279), 1619–1634. https://doi.org/10.1090/s0025-5718-2011-02570-6
LibreCat | DOI
 
[4]
2011 | Journal Article | LibreCat-ID: 42798
Kirschmer, M. (2011). Finite Symplectic Matrix Groups. Experimental Mathematics, 20(2), 217–228. https://doi.org/10.1080/10586458.2011.564964
LibreCat | DOI
 
[3]
2010 | Journal Article | LibreCat-ID: 42803
Kirschmer, M., & Voight, J. (2010). Algorithmic Enumeration of Ideal Classes for Quaternion Orders. SIAM Journal on Computing, 39(5), 1714–1747. https://doi.org/10.1137/080734467
LibreCat | DOI
 
[2]
2009 | Dissertation | LibreCat-ID: 43453
Kirschmer, M. (2009). Finite symplectic matrix groups (Dissertation).
LibreCat
 
[1]
2005 | Mastersthesis | LibreCat-ID: 43455
Kirschmer, M. (2005). Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit).
LibreCat
 
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21 Publications

Mark all

[21]
2022 | Preprint | LibreCat-ID: 43392
Kirschmer, M., & Klüners, J. (2022). Chow groups of orders in number fields.
LibreCat
 
[20]
2022 | Journal Article | LibreCat-ID: 45854
Kirschmer, M., & Nebe, G. (2022). Binary Hermitian Lattices over Number Fields. Experimental Mathematics, 31(1), 280–301. https://doi.org/10.1080/10586458.2019.1618756
LibreCat | DOI
 
[19]
2021 | Journal Article | LibreCat-ID: 34912
Kirschmer, M., Narbonne, F., Ritzenthaler, C., & Robert, D. (2021). Spanning the isogeny class of a power of an elliptic curve. Mathematics of Computation, 91(333), 401–449. https://doi.org/10.1090/mcom/3672
LibreCat | DOI
 
[18]
2019 | Journal Article | LibreCat-ID: 34915
Kirschmer, M. (2019). Determinant groups of Hermitian lattices over local fields. Archiv Der Mathematik, 113(4), 337–347. https://doi.org/10.1007/s00013-019-01348-z
LibreCat | DOI
 
[17]
2019 | Journal Article | LibreCat-ID: 34917
Kirschmer, M., & Nebe, G. (2019). Quaternary quadratic lattices over number fields. International Journal of Number Theory, 15(02), 309–325. https://doi.org/10.1142/s1793042119500131
LibreCat | DOI
 
[16]
2019 | Journal Article | LibreCat-ID: 34916
Kirschmer, M. (2019). Automorphisms of even unimodular lattices over number fields. Journal of Number Theory, 197, 121–134. https://doi.org/10.1016/j.jnt.2018.08.004
LibreCat | DOI
 
[15]
2018 | Book Chapter | LibreCat-ID: 42788
Kirschmer, M., & Nebe, G. (2018). One Class Genera of Lattice Chains Over Number Fields. In Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory. Springer International Publishing. https://doi.org/10.1007/978-3-319-70566-8_22
LibreCat | DOI
 
[14]
2018 | Journal Article | LibreCat-ID: 42790
Kirschmer, M. (2018). One-class genera of exceptional groups over number fields. Journal de Théorie Des Nombres de Bordeaux, 30(3), 847–857. https://doi.org/10.5802/jtnb.1052
LibreCat | DOI
 
[13]
2017 | Journal Article | LibreCat-ID: 42791
Kirschmer, M., & Rüther, M. G. (2017). The constructive membership problem for discrete two-generator subgroups of SL(2,R). Journal of Algebra, 480, 519–548. https://doi.org/10.1016/j.jalgebra.2017.02.029
LibreCat | DOI
 
[12]
2016 | Journal Article | LibreCat-ID: 42792
Kirschmer, M., & Lorch, D. (2016). Ternary quadratic forms over number fields with small class number. Journal of Number Theory, 161, 343–361. https://doi.org/10.1016/j.jnt.2014.11.001
LibreCat | DOI
 
[11]
2016 | Misc | LibreCat-ID: 43454
Kirschmer, M. (2016). Definite quadratic and hermitian forms with small class number (Habilitation).
LibreCat
 
[10]
2014 | Journal Article | LibreCat-ID: 42793
Kirschmer, M. (2014). One-class genera of maximal integral quadratic forms. Journal of Number Theory, 136, 375–393. https://doi.org/10.1016/j.jnt.2013.10.007
LibreCat | DOI
 
[9]
2014 | Journal Article | LibreCat-ID: 42801
Kirschmer, M., & LEEDHAM-GREEN, C. (2014). Computing with subgroups of the modular group . Glasgow Mathematical Journal, 57(1), 173–180. https://doi.org/10.1017/s0017089514000202
LibreCat | DOI
 
[8]
2014 | Journal Article | LibreCat-ID: 42794
Eick, B., Kirschmer, M., & Leedham-Green, C. (2014). The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R). LMS Journal of Computation and Mathematics, 17(1), 345–359. https://doi.org/10.1112/s1461157014000047
LibreCat | DOI
 
[7]
2013 | Book Chapter | LibreCat-ID: 42805
Kirschmer, M., & Mertens, M. H. (2013). On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves. In Integers. DE GRUYTER. https://doi.org/10.1515/9783110298161.212
LibreCat | DOI
 
[6]
2013 | Journal Article | LibreCat-ID: 42796
Lorch, D., & Kirschmer, M. (2013). Single-class genera of positive integral lattices. LMS Journal of Computation and Mathematics, 16, 172–186. https://doi.org/10.1112/s1461157013000107
LibreCat | DOI
 
[5]
2012 | Journal Article | LibreCat-ID: 42797
Kirschmer, M. (2012). A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$. Mathematics of Computation, 81(279), 1619–1634. https://doi.org/10.1090/s0025-5718-2011-02570-6
LibreCat | DOI
 
[4]
2011 | Journal Article | LibreCat-ID: 42798
Kirschmer, M. (2011). Finite Symplectic Matrix Groups. Experimental Mathematics, 20(2), 217–228. https://doi.org/10.1080/10586458.2011.564964
LibreCat | DOI
 
[3]
2010 | Journal Article | LibreCat-ID: 42803
Kirschmer, M., & Voight, J. (2010). Algorithmic Enumeration of Ideal Classes for Quaternion Orders. SIAM Journal on Computing, 39(5), 1714–1747. https://doi.org/10.1137/080734467
LibreCat | DOI
 
[2]
2009 | Dissertation | LibreCat-ID: 43453
Kirschmer, M. (2009). Finite symplectic matrix groups (Dissertation).
LibreCat
 
[1]
2005 | Mastersthesis | LibreCat-ID: 43455
Kirschmer, M. (2005). Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit).
LibreCat
 
Marked Publication(s)

Search

Filter Publications

Display / Sort

Citation Style: APA

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