Claus Fieker

Publication Activity (10 Years)

Years Active: 1996-2024
Publications (10 Years): 12

Top Topics

Group Activities

Computerized Tomography

Algebraic Geometry

Computational Effort

Top Venues

LMS J. Comput. Math.

J. Symb. Comput.

Publications

John Abbott, Claus Fieker
Computing the Determinant of a Dense Matrix over ℤ. ICMS (2024)
Claus Fieker, Nicole Sutherland
Computing splitting fields using Galois theory and other Galois constructions. J. Symb. Comput. 116 (2023)
Claus Fieker, Tommy Hofmann, Carlo Sircana
Resultants over principal Artinian rings. CoRR (2020)
Claus Fieker, William Hart, Tommy Hofmann, Fredrik Johansson
Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language. CoRR (2017)
Jean-François Biasse, Claus Fieker, Tommy Hofmann
On the computation of the HNF of a module over the ring of integers of a number field. J. Symb. Comput. 80 (2017)
Janko Böhm, Wolfram Decker, Claus Fieker, Santiago Laplagne, Gerhard Pfister
Bad Primes in Computational Algebraic Geometry. CoRR (2017)
Claus Fieker, William Hart, Tommy Hofmann, Fredrik Johansson
Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language. ISSAC (2017)
Tommy Hofmann, Claus Fieker
Computing in quotients of rings of integers. CoRR (2016)
Jean-François Biasse, Claus Fieker, Tommy Hofmann
On the computation of the HNF of a module over the ring of integers of a number field. CoRR (2016)
Janko Böhm, Wolfram Decker, Claus Fieker, Santiago Laplagne, Gerhard Pfister
Bad Primes in Computational Algebraic Geometry. ICMS (2016)
Jean-François Biasse, Claus Fieker, Michael J. Jacobson Jr.
Fast heuristic algorithms for computing relations in the class group of a quadratic order, with applications to isogeny evaluation. LMS J. Comput. Math. 19 (A) (2016)
Claus Fieker, Yinan Zhang
An application of the -adic analytic class number formula. LMS J. Comput. Math. 19 (1) (2016)
Dereje Kifle Boku, Claus Fieker, Wolfram Decker, Andreas Steenpaß
Gröbner Bases over Algebraic Number Fields. CoRR (2015)
Janko Böhm, Wolfram Decker, Claus Fieker, Gerhard Pfister
The use of bad primes in rational reconstruction. Math. Comput. 84 (296) (2015)
Dereje Kifle Boku, Wolfram Decker, Claus Fieker, Andreas Steenpaß
Gröbner bases over algebraic number fields. PASCO (2015)
Claus Fieker, Tommy Hofmann
Computing in quotients of rings of integers. LMS J. Comput. Math. 17 (Theory) (2014)
Jean-François Biasse, Claus Fieker
Subexponential class group and unit group computation in large degree number fields. LMS J. Comput. Math. 17 (Theory) (2014)
Claus Fieker, Jürgen Klüners
Computation of Galois groups of rational polynomials. LMS J. Comput. Math. 17 (1) (2014)
Jean-François Biasse, Claus Fieker
A polynomial time algorithm for computing the HNF of a module over the integers of a number field CoRR (2012)
Jean-François Biasse, Claus Fieker
A polynomial time algorithm for computing the HNF of a module over the integers of a number field. ISSAC (2012)
Jean-François Biasse, Claus Fieker
New techniques for computing the ideal class group and a system of fundamental units in number fields CoRR (2012)
John Cannon, Steve Donnelly, Claus Fieker, Mark Watkins
Magma - A Tool for Number Theory. ICMS (2010)
Claus Fieker, Damien Stehlé
Short Bases of Lattices over Number Fields. ANTS (2010)
Claus Fieker, Willem A. de Graaf
Finding Integral Linear Dependencies of Algebraic Numbers and Algebraic Lie Algebras. LMS J. Comput. Math. 10 (2007)
Claus Fieker
Sparse Representation for Cyclotomic Fields. Exp. Math. 16 (4) (2007)
Claus Fieker, Michael E. Pohst
Dependency of units in number fields. Math. Comput. 75 (255) (2006)
Claus Fieker
Minimizing representations over number fields. J. Symb. Comput. 38 (1) (2004)
Claus Fieker
Computing class fields via the Artin map. Math. Comput. 70 (235) (2001)
Vincenzo Acciaro, Claus Fieker
Finding Normal Integral Bases of Cyclic Number Fields of Prime Degree. J. Symb. Comput. 30 (2) (2000)
Claus Fieker, Carsten Friedrichs
On Reconstruction of Algebraic Numbers. ANTS (2000)
Mario Daberkow, Claus Fieker, Jürgen Klüners, Michael Pohst, K. Roegner, M. Schörnig, K. Wildanger
KANT V4. J. Symb. Comput. 24 (3/4) (1997)
Claus Fieker, A. Jurk, Michael E. Pohst
On solving relative norm equations in algebraic number fields. Math. Comput. 66 (217) (1997)
Claus Fieker, Michael Pohst
On Lattices over Number Fields. ANTS (1996)