Markus Kirschmer

markus.kirschmer@uni-paderborn.de
ID
82258

21 Publications

Mark all

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

Mark all

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