Publications
von OLB [CC BY-SA 3.0](https://creativecommons.org/licenses/by-sa/3.0), vom Wikimedia Commons

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Publications

Writing is nature’s way of letting you know how sloppy your thinking is. Dick Guindon

You can find my author profile at Google Scholar, MathSciNet, Zentralblatt Math, DBLP, and the ACM Digital Library. Open access to my research is provided by the arXiv (abstracts).

My co-authors are Raoul Blankertz, Joachim von zur Gathen, Mark Giesbrecht, Julian Lorenz, Yona Raekow, Andreas Ruffing, Eva Viehmann, Alfredo Viola, and Johannes Zollmann. Thanks to them, my Erdős number is at most 3 (MathSciNet, subscription required). One more thing: In most areas of my research, the co-authors are listed in alphabetic order. The American Mathematical Society has described this circumstance (and the reasoning behind it) in their 2004 Statement on The Culture of Research and Scholarship in Matheamtics: Joint Research and Its Publication. I prefer to follow this practice.

Dissertation

  • Counting classes of special polynomials (URL)
    Konstantin Ziegler
    Rheinische Friedrich-Willhelms-Universität Bonn, Germany, 2015.

Journal Articles (Peer-Reviewed)

  • Compositions and collisions at degree p2 (DOI, arXiv)
    Raoul Blankertz, Joachim von zur Gathen & Konstantin Ziegler
    Journal of Symbolic Computation 59, 113–145, 2013. Extended Abstract in Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation ISSAC ‘12 (2012).
  • Counting reducible, powerful, and relatively irreducible multivariate polynomials over finite fields (DOI, arXiv)
    Joachim von zur Gathen, Alfredo Viola & Konstantin Ziegler
    SIAM Journal on Discrete Mathematics 27(2), 855–891, 2013. Extended Abstract in Proceedings of LATIN 2010 (2010).
  • Formal moduli of formal OK-modules (URL)
    Eva Viehmann & Konstantin Ziegler
    Astérisque 312, 57–66, 2007. ARGOS Seminar on Intersections of Modular Correspondences.
  • Difference ladder operators for a harmonic Schrödinger oscillator using unitary linear lattices (DOI)
    Andreas Ruffing, Julian Lorenz & Konstantin Ziegler
    Journal of Computational and Applied Mathematics 153(1–2), 395–410, 2003.

Conference Articles (Peer-Reviewed)

  • Survey on counting special types of polynomials (DOI, arXiv)
    Joachim von zur Gathen & Konstantin Ziegler
    In Computer Algebra and Polynomials, edited by Jaime Gutierrez, Josef Schicho & Martin Weimann, volume 8942 of Lecture Notes in Computer Science, 1–26, 2015. Springer-Verlag, Berlin, Heidelberg.
  • Tame Decompositions and Collisions (DOI, arXiv)
    Konstantin Ziegler
    In Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation ISSAC ‘14, edited by Katsusuke Nabeshima, 421–428, 2014. ACM Press, New York, USA.
  • Compositions and collisions at degree p2 (DOI)
    Raoul Blankertz, Joachim von zur Gathen & Konstantin Ziegler
    In Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation ISSAC ‘12, edited by Joris von der Hoeven & Mark von Hoeij, 91–98, 2012. ACM Press, New York, USA. Full version in Journal of Symbolic Computation (2013).
  • Composition collisions and projective polynomials: Statement of Results (DOI, arXiv)
    Joachim von zur Gathen, Mark Giesbrecht & Konstantin Ziegler
    In Proceedings of the 35th International Symposium on Symbolic and Algebraic Computation ISSAC ‘10, edited by Stephen Watt, 123–130, 2010. ACM Press, New York, USA.
  • Counting reducible, powerful, and relatively irreducible multivariate polynomials over finite fields: Extended Abstract (DOI)
    Joachim von zur Gathen, Alfredo Viola & Konstantin Ziegler
    In Proceedings of LATIN 2010, edited by Alejandro López-Ortiz, volume 6034 of Lecture Notes in Computer Science, 243–254, 2010. Springer-Verlag, Berlin, Heidelberg. Full version in SIAM Journal on Discrete Mathematics (2013).

Workshop Abstracts

  • Tame Decompositions and Collisions
    Konstantin Ziegler
    In Tagungsband Computeralgebra, 5, 2014. Fachgruppe Computeralgebra der DMV, GI und GAMM, Kassel, Germany.
  • Tame Decompositions and Collisions
    Konstantin Ziegler
    In Workshop on Polynomials over Finite Fields: Functional and Algebraic Properties, 19, 2014. Centre de Recerca Matemàtica, Bellaterra, Spain.
  • Rational Millionaires: Extended Abstract (URL)
    Yona Raekow & Konstantin Ziegler
    In WEWoRC2013—Book of Abstracts, 67–71, 2013. Karlsruher Institut für Technologie (KIT), Karlsruhe, Germany.
  • Fast and uniform generation of safe RSA moduli: Extended Abstract (URL)
    Konstantin Ziegler & Johannes Zollmann
    In WEWoRC2013—Book of Abstracts, 15–19, 2013. Karlsruher Institut für Technologie (KIT), Karlsruhe, Germany.
  • Compositions and Collisions at degree p2 (URL)
    Konstantin Ziegler
    In Tagungsband Computeralgebra, 18, 2012. Fachgruppe Computeralgebra der DMV, GI und GAMM, Kassel, Germany.
  • A taxonomy of non-cooperatively computable functions: Extended Abstract (URL)
    Yona Raekow & Konstantin Ziegler
    In WEWoRC2011—West European Workshop on Research in Cryptography, edited by Stefan Lucks & Frederik Armknecht, 51–55, 2011. Weimar, Germany.
  • Counting Reducible Multivariate Polynomials (URL)
    Konstantin Ziegler
    In Tagungsband Computeralgebra, 15, 2009. Fachgruppe Computeralgebra der DMV, GI und GAMM, Kassel, Germany.