Markus Kirschmer

markus.kirschmer@uni-paderborn.de
ID
82258

21 Publications

Mark all

[21]
2022 | Preprint | LibreCat-ID: 43392
Kirschmer M, Klüners J. Chow groups of orders in number fields. Published online 2022.
LibreCat
 
[20]
2022 | Journal Article | LibreCat-ID: 45854
Kirschmer M, Nebe G. Binary Hermitian Lattices over Number Fields. Experimental Mathematics. 2022;31(1):280-301. doi:10.1080/10586458.2019.1618756
LibreCat | DOI
 
[19]
2021 | Journal Article | LibreCat-ID: 34912
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
LibreCat | DOI
 
[18]
2019 | Journal Article | LibreCat-ID: 34915
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
LibreCat | DOI
 
[17]
2019 | Journal Article | LibreCat-ID: 34917
Kirschmer M, Nebe G. Quaternary quadratic lattices over number fields. International Journal of Number Theory. 2019;15(02):309-325. doi:10.1142/s1793042119500131
LibreCat | DOI
 
[16]
2019 | Journal Article | LibreCat-ID: 34916
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
LibreCat | DOI
 
[15]
2018 | Book Chapter | LibreCat-ID: 42788
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
LibreCat | DOI
 
[14]
2018 | Journal Article | LibreCat-ID: 42790
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
LibreCat | DOI
 
[13]
2017 | Journal Article | LibreCat-ID: 42791
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
LibreCat | DOI
 
[12]
2016 | Journal Article | LibreCat-ID: 42792
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
LibreCat | DOI
 
[11]
2016 | Misc | LibreCat-ID: 43454
Kirschmer M. Definite Quadratic and Hermitian Forms with Small Class Number (Habilitation).; 2016.
LibreCat
 
[10]
2014 | Journal Article | LibreCat-ID: 42793
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
LibreCat | DOI
 
[9]
2014 | Journal Article | LibreCat-ID: 42801
Kirschmer M, LEEDHAM-GREEN C. Computing with subgroups of the modular group . Glasgow Mathematical Journal. 2014;57(1):173-180. doi:10.1017/s0017089514000202
LibreCat | DOI
 
[8]
2014 | Journal Article | LibreCat-ID: 42794
Eick B, Kirschmer M, Leedham-Green C. The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R). LMS Journal of Computation and Mathematics. 2014;17(1):345-359. doi:10.1112/s1461157014000047
LibreCat | DOI
 
[7]
2013 | Book Chapter | LibreCat-ID: 42805
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
LibreCat | DOI
 
[6]
2013 | Journal Article | LibreCat-ID: 42796
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
LibreCat | DOI
 
[5]
2012 | Journal Article | LibreCat-ID: 42797
Kirschmer M. A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$. Mathematics of Computation. 2012;81(279):1619-1634. doi:10.1090/s0025-5718-2011-02570-6
LibreCat | DOI
 
[4]
2011 | Journal Article | LibreCat-ID: 42798
Kirschmer M. Finite Symplectic Matrix Groups. Experimental Mathematics. 2011;20(2):217-228. doi:10.1080/10586458.2011.564964
LibreCat | DOI
 
[3]
2010 | Journal Article | LibreCat-ID: 42803
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
LibreCat | DOI
 
[2]
2009 | Dissertation | LibreCat-ID: 43453
Kirschmer M. Finite Symplectic Matrix Groups (Dissertation).; 2009.
LibreCat
 
[1]
2005 | Mastersthesis | LibreCat-ID: 43455
Kirschmer M. Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit).; 2005.
LibreCat
 
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21 Publications

Mark all

[21]
2022 | Preprint | LibreCat-ID: 43392
Kirschmer M, Klüners J. Chow groups of orders in number fields. Published online 2022.
LibreCat
 
[20]
2022 | Journal Article | LibreCat-ID: 45854
Kirschmer M, Nebe G. Binary Hermitian Lattices over Number Fields. Experimental Mathematics. 2022;31(1):280-301. doi:10.1080/10586458.2019.1618756
LibreCat | DOI
 
[19]
2021 | Journal Article | LibreCat-ID: 34912
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
LibreCat | DOI
 
[18]
2019 | Journal Article | LibreCat-ID: 34915
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
LibreCat | DOI
 
[17]
2019 | Journal Article | LibreCat-ID: 34917
Kirschmer M, Nebe G. Quaternary quadratic lattices over number fields. International Journal of Number Theory. 2019;15(02):309-325. doi:10.1142/s1793042119500131
LibreCat | DOI
 
[16]
2019 | Journal Article | LibreCat-ID: 34916
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
LibreCat | DOI
 
[15]
2018 | Book Chapter | LibreCat-ID: 42788
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
LibreCat | DOI
 
[14]
2018 | Journal Article | LibreCat-ID: 42790
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
LibreCat | DOI
 
[13]
2017 | Journal Article | LibreCat-ID: 42791
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
LibreCat | DOI
 
[12]
2016 | Journal Article | LibreCat-ID: 42792
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
LibreCat | DOI
 
[11]
2016 | Misc | LibreCat-ID: 43454
Kirschmer M. Definite Quadratic and Hermitian Forms with Small Class Number (Habilitation).; 2016.
LibreCat
 
[10]
2014 | Journal Article | LibreCat-ID: 42793
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
LibreCat | DOI
 
[9]
2014 | Journal Article | LibreCat-ID: 42801
Kirschmer M, LEEDHAM-GREEN C. Computing with subgroups of the modular group . Glasgow Mathematical Journal. 2014;57(1):173-180. doi:10.1017/s0017089514000202
LibreCat | DOI
 
[8]
2014 | Journal Article | LibreCat-ID: 42794
Eick B, Kirschmer M, Leedham-Green C. The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R). LMS Journal of Computation and Mathematics. 2014;17(1):345-359. doi:10.1112/s1461157014000047
LibreCat | DOI
 
[7]
2013 | Book Chapter | LibreCat-ID: 42805
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
LibreCat | DOI
 
[6]
2013 | Journal Article | LibreCat-ID: 42796
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
LibreCat | DOI
 
[5]
2012 | Journal Article | LibreCat-ID: 42797
Kirschmer M. A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$. Mathematics of Computation. 2012;81(279):1619-1634. doi:10.1090/s0025-5718-2011-02570-6
LibreCat | DOI
 
[4]
2011 | Journal Article | LibreCat-ID: 42798
Kirschmer M. Finite Symplectic Matrix Groups. Experimental Mathematics. 2011;20(2):217-228. doi:10.1080/10586458.2011.564964
LibreCat | DOI
 
[3]
2010 | Journal Article | LibreCat-ID: 42803
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
LibreCat | DOI
 
[2]
2009 | Dissertation | LibreCat-ID: 43453
Kirschmer M. Finite Symplectic Matrix Groups (Dissertation).; 2009.
LibreCat
 
[1]
2005 | Mastersthesis | LibreCat-ID: 43455
Kirschmer M. Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit).; 2005.
LibreCat
 
Marked Publication(s)

Search

Filter Publications

Display / Sort

Citation Style: AMA

Export / Embed