Markus Kirschmer

markus.kirschmer@uni-paderborn.de
ID
82258

21 Publications

Mark all

[21]
2022 | Preprint | LibreCat-ID: 43392
@article{Kirschmer_Klüners_2022, title={Chow groups of orders in number fields}, author={Kirschmer, Markus and Klüners, Jürgen }, year={2022} }
LibreCat
 
[20]
2022 | Journal Article | LibreCat-ID: 45854
@article{Kirschmer_Nebe_2022, title={Binary Hermitian Lattices over Number Fields}, volume={31}, DOI={10.1080/10586458.2019.1618756}, number={1}, journal={Experimental Mathematics}, publisher={Informa UK Limited}, author={Kirschmer, Markus and Nebe, Gabriele}, year={2022}, pages={280–301} }
LibreCat | DOI
 
[19]
2021 | Journal Article | LibreCat-ID: 34912
@article{Kirschmer_Narbonne_Ritzenthaler_Robert_2021, title={Spanning the isogeny class of a power of an elliptic curve}, volume={91}, DOI={10.1090/mcom/3672}, number={333}, journal={Mathematics of Computation}, publisher={American Mathematical Society (AMS)}, author={Kirschmer, Markus and Narbonne, Fabien and Ritzenthaler, Christophe and Robert, Damien}, year={2021}, pages={401–449} }
LibreCat | DOI
 
[18]
2019 | Journal Article | LibreCat-ID: 34915
@article{Kirschmer_2019, title={Determinant groups of Hermitian lattices over local fields}, volume={113}, DOI={10.1007/s00013-019-01348-z}, number={4}, journal={Archiv der Mathematik}, publisher={Springer Science and Business Media LLC}, author={Kirschmer, Markus}, year={2019}, pages={337–347} }
LibreCat | DOI
 
[17]
2019 | Journal Article | LibreCat-ID: 34917
@article{Kirschmer_Nebe_2019, title={Quaternary quadratic lattices over number fields}, volume={15}, DOI={10.1142/s1793042119500131}, number={02}, journal={International Journal of Number Theory}, publisher={World Scientific Pub Co Pte Lt}, author={Kirschmer, Markus and Nebe, Gabriele}, year={2019}, pages={309–325} }
LibreCat | DOI
 
[16]
2019 | Journal Article | LibreCat-ID: 34916
@article{Kirschmer_2019, title={Automorphisms of even unimodular lattices over number fields}, volume={197}, DOI={10.1016/j.jnt.2018.08.004}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Kirschmer, Markus}, year={2019}, pages={121–134} }
LibreCat | DOI
 
[15]
2018 | Book Chapter | LibreCat-ID: 42788
@inbook{Kirschmer_Nebe_2018, place={Cham}, title={One Class Genera of Lattice Chains Over Number Fields}, DOI={10.1007/978-3-319-70566-8_22}, booktitle={Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory}, publisher={Springer International Publishing}, author={Kirschmer, Markus and Nebe, Gabriele}, year={2018} }
LibreCat | DOI
 
[14]
2018 | Journal Article | LibreCat-ID: 42790
@article{Kirschmer_2018, title={One-class genera of exceptional groups over number fields}, volume={30}, DOI={10.5802/jtnb.1052}, number={3}, journal={Journal de Théorie des Nombres de Bordeaux}, publisher={Cellule MathDoc/CEDRAM}, author={Kirschmer, Markus}, year={2018}, pages={847–857} }
LibreCat | DOI
 
[13]
2017 | Journal Article | LibreCat-ID: 42791
@article{Kirschmer_Rüther_2017, title={The constructive membership problem for discrete two-generator subgroups of SL(2,R)}, volume={480}, DOI={10.1016/j.jalgebra.2017.02.029}, journal={Journal of Algebra}, publisher={Elsevier BV}, author={Kirschmer, Markus and Rüther, Marion G.}, year={2017}, pages={519–548} }
LibreCat | DOI
 
[12]
2016 | Journal Article | LibreCat-ID: 42792
@article{Kirschmer_Lorch_2016, title={Ternary quadratic forms over number fields with small class number}, volume={161}, DOI={10.1016/j.jnt.2014.11.001}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Kirschmer, Markus and Lorch, David}, year={2016}, pages={343–361} }
LibreCat | DOI
 
[11]
2016 | Misc | LibreCat-ID: 43454
@book{Kirschmer_2016, place={RWTH Aachen University}, title={Definite quadratic and hermitian forms with small class number (Habilitation)}, author={Kirschmer, Markus}, year={2016} }
LibreCat
 
[10]
2014 | Journal Article | LibreCat-ID: 42793
@article{Kirschmer_2014, title={One-class genera of maximal integral quadratic forms}, volume={136}, DOI={10.1016/j.jnt.2013.10.007}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Kirschmer, Markus}, year={2014}, pages={375–393} }
LibreCat | DOI
 
[9]
2014 | Journal Article | LibreCat-ID: 42801
@article{Kirschmer_LEEDHAM-GREEN_2014, title={Computing with subgroups of the modular group }, volume={57}, DOI={10.1017/s0017089514000202}, number={1}, journal={Glasgow Mathematical Journal}, publisher={Cambridge University Press (CUP)}, author={Kirschmer, Markus and LEEDHAM-GREEN, CHARLES}, year={2014}, pages={173–180} }
LibreCat | DOI
 
[8]
2014 | Journal Article | LibreCat-ID: 42794
@article{Eick_Kirschmer_Leedham-Green_2014, title={The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R)}, volume={17}, DOI={10.1112/s1461157014000047}, number={1}, journal={LMS Journal of Computation and Mathematics}, publisher={Wiley}, author={Eick, B. and Kirschmer, Markus and Leedham-Green, C.}, year={2014}, pages={345–359} }
LibreCat | DOI
 
[7]
2013 | Book Chapter | LibreCat-ID: 42805
@inbook{Kirschmer_Mertens_2013, title={On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves}, DOI={10.1515/9783110298161.212}, booktitle={Integers}, publisher={DE GRUYTER}, author={Kirschmer, Markus and Mertens, Michael H.}, year={2013} }
LibreCat | DOI
 
[6]
2013 | Journal Article | LibreCat-ID: 42796
@article{Lorch_Kirschmer_2013, title={Single-class genera of positive integral lattices}, volume={16}, DOI={10.1112/s1461157013000107}, journal={LMS Journal of Computation and Mathematics}, publisher={Wiley}, author={Lorch, David and Kirschmer, Markus}, year={2013}, pages={172–186} }
LibreCat | DOI
 
[5]
2012 | Journal Article | LibreCat-ID: 42797
@article{Kirschmer_2012, title={A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$}, volume={81}, DOI={10.1090/s0025-5718-2011-02570-6}, number={279}, journal={Mathematics of Computation}, publisher={American Mathematical Society (AMS)}, author={Kirschmer, Markus}, year={2012}, pages={1619–1634} }
LibreCat | DOI
 
[4]
2011 | Journal Article | LibreCat-ID: 42798
@article{Kirschmer_2011, title={Finite Symplectic Matrix Groups}, volume={20}, DOI={10.1080/10586458.2011.564964}, number={2}, journal={Experimental Mathematics}, publisher={Informa UK Limited}, author={Kirschmer, Markus}, year={2011}, pages={217–228} }
LibreCat | DOI
 
[3]
2010 | Journal Article | LibreCat-ID: 42803
@article{Kirschmer_Voight_2010, title={Algorithmic Enumeration of Ideal Classes for Quaternion Orders}, volume={39}, DOI={10.1137/080734467}, number={5}, journal={SIAM Journal on Computing}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Kirschmer, Markus and Voight, John}, year={2010}, pages={1714–1747} }
LibreCat | DOI
 
[2]
2009 | Dissertation | LibreCat-ID: 43453
@book{Kirschmer_2009, place={RWTH Aachen University}, title={Finite symplectic matrix groups (Dissertation)}, author={Kirschmer, Markus}, year={2009} }
LibreCat
 
[1]
2005 | Mastersthesis | LibreCat-ID: 43455
@book{Kirschmer_2005, place={Universität Ulm}, title={Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)}, author={Kirschmer, Markus}, year={2005} }
LibreCat
 
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21 Publications

Mark all

[21]
2022 | Preprint | LibreCat-ID: 43392
@article{Kirschmer_Klüners_2022, title={Chow groups of orders in number fields}, author={Kirschmer, Markus and Klüners, Jürgen }, year={2022} }
LibreCat
 
[20]
2022 | Journal Article | LibreCat-ID: 45854
@article{Kirschmer_Nebe_2022, title={Binary Hermitian Lattices over Number Fields}, volume={31}, DOI={10.1080/10586458.2019.1618756}, number={1}, journal={Experimental Mathematics}, publisher={Informa UK Limited}, author={Kirschmer, Markus and Nebe, Gabriele}, year={2022}, pages={280–301} }
LibreCat | DOI
 
[19]
2021 | Journal Article | LibreCat-ID: 34912
@article{Kirschmer_Narbonne_Ritzenthaler_Robert_2021, title={Spanning the isogeny class of a power of an elliptic curve}, volume={91}, DOI={10.1090/mcom/3672}, number={333}, journal={Mathematics of Computation}, publisher={American Mathematical Society (AMS)}, author={Kirschmer, Markus and Narbonne, Fabien and Ritzenthaler, Christophe and Robert, Damien}, year={2021}, pages={401–449} }
LibreCat | DOI
 
[18]
2019 | Journal Article | LibreCat-ID: 34915
@article{Kirschmer_2019, title={Determinant groups of Hermitian lattices over local fields}, volume={113}, DOI={10.1007/s00013-019-01348-z}, number={4}, journal={Archiv der Mathematik}, publisher={Springer Science and Business Media LLC}, author={Kirschmer, Markus}, year={2019}, pages={337–347} }
LibreCat | DOI
 
[17]
2019 | Journal Article | LibreCat-ID: 34917
@article{Kirschmer_Nebe_2019, title={Quaternary quadratic lattices over number fields}, volume={15}, DOI={10.1142/s1793042119500131}, number={02}, journal={International Journal of Number Theory}, publisher={World Scientific Pub Co Pte Lt}, author={Kirschmer, Markus and Nebe, Gabriele}, year={2019}, pages={309–325} }
LibreCat | DOI
 
[16]
2019 | Journal Article | LibreCat-ID: 34916
@article{Kirschmer_2019, title={Automorphisms of even unimodular lattices over number fields}, volume={197}, DOI={10.1016/j.jnt.2018.08.004}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Kirschmer, Markus}, year={2019}, pages={121–134} }
LibreCat | DOI
 
[15]
2018 | Book Chapter | LibreCat-ID: 42788
@inbook{Kirschmer_Nebe_2018, place={Cham}, title={One Class Genera of Lattice Chains Over Number Fields}, DOI={10.1007/978-3-319-70566-8_22}, booktitle={Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory}, publisher={Springer International Publishing}, author={Kirschmer, Markus and Nebe, Gabriele}, year={2018} }
LibreCat | DOI
 
[14]
2018 | Journal Article | LibreCat-ID: 42790
@article{Kirschmer_2018, title={One-class genera of exceptional groups over number fields}, volume={30}, DOI={10.5802/jtnb.1052}, number={3}, journal={Journal de Théorie des Nombres de Bordeaux}, publisher={Cellule MathDoc/CEDRAM}, author={Kirschmer, Markus}, year={2018}, pages={847–857} }
LibreCat | DOI
 
[13]
2017 | Journal Article | LibreCat-ID: 42791
@article{Kirschmer_Rüther_2017, title={The constructive membership problem for discrete two-generator subgroups of SL(2,R)}, volume={480}, DOI={10.1016/j.jalgebra.2017.02.029}, journal={Journal of Algebra}, publisher={Elsevier BV}, author={Kirschmer, Markus and Rüther, Marion G.}, year={2017}, pages={519–548} }
LibreCat | DOI
 
[12]
2016 | Journal Article | LibreCat-ID: 42792
@article{Kirschmer_Lorch_2016, title={Ternary quadratic forms over number fields with small class number}, volume={161}, DOI={10.1016/j.jnt.2014.11.001}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Kirschmer, Markus and Lorch, David}, year={2016}, pages={343–361} }
LibreCat | DOI
 
[11]
2016 | Misc | LibreCat-ID: 43454
@book{Kirschmer_2016, place={RWTH Aachen University}, title={Definite quadratic and hermitian forms with small class number (Habilitation)}, author={Kirschmer, Markus}, year={2016} }
LibreCat
 
[10]
2014 | Journal Article | LibreCat-ID: 42793
@article{Kirschmer_2014, title={One-class genera of maximal integral quadratic forms}, volume={136}, DOI={10.1016/j.jnt.2013.10.007}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Kirschmer, Markus}, year={2014}, pages={375–393} }
LibreCat | DOI
 
[9]
2014 | Journal Article | LibreCat-ID: 42801
@article{Kirschmer_LEEDHAM-GREEN_2014, title={Computing with subgroups of the modular group }, volume={57}, DOI={10.1017/s0017089514000202}, number={1}, journal={Glasgow Mathematical Journal}, publisher={Cambridge University Press (CUP)}, author={Kirschmer, Markus and LEEDHAM-GREEN, CHARLES}, year={2014}, pages={173–180} }
LibreCat | DOI
 
[8]
2014 | Journal Article | LibreCat-ID: 42794
@article{Eick_Kirschmer_Leedham-Green_2014, title={The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R)}, volume={17}, DOI={10.1112/s1461157014000047}, number={1}, journal={LMS Journal of Computation and Mathematics}, publisher={Wiley}, author={Eick, B. and Kirschmer, Markus and Leedham-Green, C.}, year={2014}, pages={345–359} }
LibreCat | DOI
 
[7]
2013 | Book Chapter | LibreCat-ID: 42805
@inbook{Kirschmer_Mertens_2013, title={On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves}, DOI={10.1515/9783110298161.212}, booktitle={Integers}, publisher={DE GRUYTER}, author={Kirschmer, Markus and Mertens, Michael H.}, year={2013} }
LibreCat | DOI
 
[6]
2013 | Journal Article | LibreCat-ID: 42796
@article{Lorch_Kirschmer_2013, title={Single-class genera of positive integral lattices}, volume={16}, DOI={10.1112/s1461157013000107}, journal={LMS Journal of Computation and Mathematics}, publisher={Wiley}, author={Lorch, David and Kirschmer, Markus}, year={2013}, pages={172–186} }
LibreCat | DOI
 
[5]
2012 | Journal Article | LibreCat-ID: 42797
@article{Kirschmer_2012, title={A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$}, volume={81}, DOI={10.1090/s0025-5718-2011-02570-6}, number={279}, journal={Mathematics of Computation}, publisher={American Mathematical Society (AMS)}, author={Kirschmer, Markus}, year={2012}, pages={1619–1634} }
LibreCat | DOI
 
[4]
2011 | Journal Article | LibreCat-ID: 42798
@article{Kirschmer_2011, title={Finite Symplectic Matrix Groups}, volume={20}, DOI={10.1080/10586458.2011.564964}, number={2}, journal={Experimental Mathematics}, publisher={Informa UK Limited}, author={Kirschmer, Markus}, year={2011}, pages={217–228} }
LibreCat | DOI
 
[3]
2010 | Journal Article | LibreCat-ID: 42803
@article{Kirschmer_Voight_2010, title={Algorithmic Enumeration of Ideal Classes for Quaternion Orders}, volume={39}, DOI={10.1137/080734467}, number={5}, journal={SIAM Journal on Computing}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Kirschmer, Markus and Voight, John}, year={2010}, pages={1714–1747} }
LibreCat | DOI
 
[2]
2009 | Dissertation | LibreCat-ID: 43453
@book{Kirschmer_2009, place={RWTH Aachen University}, title={Finite symplectic matrix groups (Dissertation)}, author={Kirschmer, Markus}, year={2009} }
LibreCat
 
[1]
2005 | Mastersthesis | LibreCat-ID: 43455
@book{Kirschmer_2005, place={Universität Ulm}, title={Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)}, author={Kirschmer, Markus}, year={2005} }
LibreCat
 
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