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21 Publications
2024 | Journal Article | LibreCat-ID: 55554
Chow groups of one-dimensional noetherian domains
M. Kirschmer, J. Klüners, Research in Number Theory 10 (2024).
LibreCat
| DOI
| arXiv
M. Kirschmer, J. Klüners, Research in Number Theory 10 (2024).
2022 | Journal Article | LibreCat-ID: 45854
Binary Hermitian Lattices over Number Fields
M. Kirschmer, G. Nebe, Experimental Mathematics 31 (2022) 280–301.
LibreCat
| DOI
M. Kirschmer, G. Nebe, Experimental Mathematics 31 (2022) 280–301.
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
M. Kirschmer, F. Narbonne, C. Ritzenthaler, D. Robert, Mathematics of Computation 91 (2021) 401–449.
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
M. Kirschmer, G. Nebe, International Journal of Number Theory 15 (2019) 309–325.
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
M. Kirschmer, Journal of Number Theory 197 (2019) 121–134.
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
M. Kirschmer, Archiv Der Mathematik 113 (2019) 337–347.
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
M. Kirschmer, G. Nebe, in: Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, Springer International Publishing, Cham, 2018.
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
M. Kirschmer, Journal de Théorie Des Nombres de Bordeaux 30 (2018) 847–857.
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
M. Kirschmer, M.G. Rüther, Journal of Algebra 480 (2017) 519–548.
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
M. Kirschmer, D. Lorch, Journal of Number Theory 161 (2016) 343–361.
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
M. Kirschmer, Definite Quadratic and Hermitian Forms with Small Class Number (Habilitation), RWTH Aachen University, 2016.
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
M. Kirschmer, Journal of Number Theory 136 (2014) 375–393.
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
M. Kirschmer, C. LEEDHAM-GREEN, Glasgow Mathematical Journal 57 (2014) 173–180.
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
B. Eick, M. Kirschmer, C. Leedham-Green, LMS Journal of Computation and Mathematics 17 (2014) 345–359.
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
M. Kirschmer, M.H. Mertens, in: Integers, DE GRUYTER, 2013.
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
D. Lorch, M. Kirschmer, LMS Journal of Computation and Mathematics 16 (2013) 172–186.
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
M. Kirschmer, Mathematics of Computation 81 (2012) 1619–1634.
2011 | Journal Article | LibreCat-ID: 42798
Finite Symplectic Matrix Groups
M. Kirschmer, Experimental Mathematics 20 (2011) 217–228.
LibreCat
| DOI
M. Kirschmer, Experimental Mathematics 20 (2011) 217–228.
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
M. Kirschmer, J. Voight, SIAM Journal on Computing 39 (2010) 1714–1747.
2009 | Dissertation | LibreCat-ID: 43453
Finite symplectic matrix groups (Dissertation)
M. Kirschmer, Finite Symplectic Matrix Groups (Dissertation), RWTH Aachen University, 2009.
LibreCat
M. Kirschmer, Finite Symplectic Matrix Groups (Dissertation), RWTH Aachen University, 2009.