Claus Fieker Publications
Contact
Research Interests
Publications
Teaching

Diplom

• Claus Fieker: P-Konvexität und omega-Hypoelliptizität für partielle Differentialoperatoren mit konstanten Koeffizienten. Diplom, Heinrich-Heine Universität Düsseldorf (1993).

PhD Thesis

• Claus Fieker: Relative Normgleichungen. PhD. Technische Universität Berlin (1997).

Books

Claus Fieker, David R. Kohel: Algorithmic Number Theory Symposium V. (2002).
Wieb Bosma, John Cannon, Claus Fieker, Allan Steel: Handbook of Magma Functions. (2010).

Book chapter

Claus Fieker: Applications of class field theory of global fields. In: Wieb Bosma, John Cannon: Discovering Mathematics with Magma. (2002).

Scientific Papers

1 Claus Fieker, Michael Pohst: Lattices over number fields. In: Henri Cohen: Proceedings of the ANTS II conference., 147-157.
2 Claus Fieker, Andreas Jurk, Michael Pohst: On solving relative norm equations in algebraic number fields. Math. Comput. 66 (1997), 399-420.
3 Claus Fieker, Vincenzo Acciaro: Finding normal integral bases of cyclic number fields of prime degree. J. Symb. Comput. 30 (2000), 129-136.
4 Claus Fieker, Carsten Friedrichs: On reconstruction of algebraic numbers. In: Proceedings of the ANTS IV conference. (2000), 285-296.
5 Claus Fieker: Computing class fields via the Artin map. Math. Comput. 70 (2001), 1293-1303.
6 Claus Fieker, Jürgen Klüners: Minimal discriminants for fields with small Frobenius groups as Galois groups. J. Number Theory 99 (2004), 318-337.
7 Claus Fieker: Minimizing representations over number fields. J. Symb. Comput. 38 (2004), 833-842.
8 Claus Fieker, Michael Pohst: Dependency of units in number fields. Math. Comput. 75 (2006), 1507-1518.
9 Claus Fieker: Sparse representation for cyclotomic fields. Exp. Maths. 16:4 (2007), 493-500.
10 Claus Fieker, Willem de Graaf: Finding integral linear dependencies of algebraic numbers and algebraic Lie algebras. LMS Journal of Comp. Maths. 10 (2007), 271-287.
11 Claus Fieker, Michael Pohst: A lower regulator bound for number fields. J. Number Theory 128:10 (2008), 2767-2775.
12 Claus Fieker: Minimizing representations over number fields II: Computations in the Brauer group. Journal of Algebra 322:3 (2009), 752:765.
13 Claus Fieker, M. M. Gehringer, J.J. Pengelly, W.S. Cuddy, P.I. Forster, B.A. Neilan: Host selection of symbiotic cyanobacteria in 31 species of the Australian cycad genus: macrozamia (zamiaceae). Mol Plant Microbe Interact. 23:6 (2010), 811-822.
14 Claus Fieker, Damien Stehle: Short Bases of Lattices over Number Fields. In: Proceedings of the ANTS IX conference. (2010).
15 Claus Fieker, Jean-Francois Biasse: Improved techniques for computing the ideal class group and a system of fundamental units in number fields. In: Proceedings of the ANTS X conference. (2012).
16 Claus Fieker, Virgile Ducet: Computing equations of curves with many points . In: Proceedings of the ANTS X conference. (2012).
17 Claus Fieker and M. M. Gehringer, L. Adler, A. A. Roberts, M. C. Moffitt, T. K. Mihali, T. J. Mills and B. A. Neilan: Nodularin, a cynaobacterial toxin, is synthesized in plants by symbiotic Nostoc sp.. In: accepted for ISME. (2012).
18 Claus Fieker and Jean-Francois Biasse: A polynomial time algorithm for computing the HNF of a module over the integers of a number field. In: Proceedings of ISSAC. (2012).

Lecture Notes

1 Claus Fieker: Algebra II. Skript für die Algebra II (1999/2000).
2 Claus Fieker: Elementare Zahlentheorie. Skript (2012).
3 Claus Fieker: Praktische Mathematik - Symbolisches Rechnen. Skript (2012).

PrePrints

1 Claus Fieker and Jürgen Klüners: Computational Galois Theory: Invariants and computations over Q. submitted to LMS Computational Section (2012).
2 Claus Fieker, Janko Böhm, Wolfram Decker, Gerhard Pfister: The use of Bad Primes in Rational Reconstruction. submitted to Math. Comput. (2012).
3 Claus Fieker and Yinan Zhang: An application of the p-adic analytic class number formula. (2012).
4 Claus Fieker, Istvan Gaal, Michael Pohst: On computing integral points of a Mordell curve over rational function fields in characteristic>3. submitted to J. Number Theory (2012).
Univ. of Kaiserslautern • Dept. of Mathematics • WG Algebra & Geometry • CAS SINGULAR • KIS • Impressum