Pub­lic­a­tions PD Dr. Markus Kirschmer

Pre­prints

Pa­pers

Binary Hermitian Lattices over Number Fields

M. Kirschmer, G. Nebe, Experimental Mathematics 31 (2022) 280–301.

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.

Determinant groups of Hermitian lattices over local fields

M. Kirschmer, Archiv Der Mathematik 113 (2019) 337–347.

Quaternary quadratic lattices over number fields

M. Kirschmer, G. Nebe, International Journal of Number Theory 15 (2019) 309–325.

Automorphisms of even unimodular lattices over number fields

M. Kirschmer, Journal of Number Theory 197 (2019) 121–134.

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Fi­nal theses

Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)

J. Klüners, Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation), Shaker Verlag, Universiät Kassel, 2005.

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Magma Code

Most of the algorithms of my papers are shipped with Magma. Below are some packages that have not been included in Magma (yet).

Quadratic and hermitian lattices over number fields

Two-generator subgroups of (P)SL(2,R)

Algorithms for the modular group