Giorgos N. Kapetanakis's home page

me in Loutraki

Welcome to my home page! I am a postdoc researcher at the Algebra and Number Theory Group of Sabanci University, under the supervision of Cem Güneri. You are interested in taking a look at my CV [pdf, Dropbox].

Contact details

Email:gnkapet@gmail.com
Address:
Sabanci University, Faculty of Engineering and Natural Sciences, Orhanli-Tuzla, 34956 Istanbul, Turkey.
Office:FENS 1001

Previous positions

  1. 09/2016-02/2018: Postdoctoral Researcher, Algebra and Number Theory Group, Sabanci University, Istanbul, Turkey (supervisors: Henning Stichtenoth and Alev Topuzoğlu).
  2. 02/2016-05/2016: Postdoctoral Researcher, LabSEC, Federal University of Santa Catarina, Florianopolis, SC, Brazil (supervisor: Daniel Panario, short visit).

Education and theses

Research

Research interests: I am interested in all aspects of finite fields and their applications including: polynomials, normal bases, primitive elements, permutation polynomials, coding theory and cryptography.

Journal publications

  1. G. Kapetanakis and L. Reis. Variations of the primitive normal basis theorem. Des. Codes Cryptogr., to appear. [pdf, arXiv, DOI]
  2. T. Garefalakis and G. Kapetanakis. On the existence of primitive completely normal bases of finite fields. J. Pure Appl. Algebra, to appear. [pdf, arXiv, DOI]
  3. G. Kapetanakis. Prescribing coefficients of invariant irreducible polynomials. J. Number Theory, 180:615-628, 2017. [pdf, DOI]
  4. T. Garefalakis and G. Kapetanakis. Enumerating permutation polynomials. Finite Fields Appl., 47:85-93, 2017. [pdf, DOI]
  5. T. Garefalakis and G. Kapetanakis. A note on the Hansen-Mullen conjecture for self-reciprocal irreducible polynomials. Finite Fields Appl., 35:61-63, 2015. [pdf, DOI]
  6. G. Kapetanakis. Normal bases and primitive elements over finite fields. Finite Fields Appl., 26:123-143, 2014. [pdf, DOI]
  7. G. Kapetanakis. An extension of the (strong) primitive normal basis theorem. Appl. Algebra Engrg. Comm. Comput., 25(5):311-337, 2014. [pdf, DOI, ShareIt]
  8. T. Garefalakis and G. Kapetanakis. On the Hansen-Mullen conjecture for self-reciprocal irreducible polynomials. Finite Fields Appl., 18(4):832-841, 2012. [pdf, DOI]

Unpublished papers

  1. T. Garefalakis and G. Kapetanakis. Further results on the Morgan-Mullen conjecture. Submitted for publication.
  2. G. Kapetanakis. A Swan-like note for a family of binary pentanomials. Submitted for publication.

Talks

Service

Teaching

Department of Mathematics and Applied Mathematics, University of Crete, Heraklion, Greece. During my PhD and MSc studies, I served as a Teaching Assistant at the following undergraduate courses of the department (in Greek):

  1. Geometry and Linear Algebra (fall 2014-2015).
  2. Foundations of Mathematics (spring 2013-2014).
  3. General Mathematics II (spring 2012-2013, at the Dept. of Materials Science and Technology).
  4. Problem Laboratory (fall 2012-2013).
  5. Linear Algebra II (spring 2011-2012).
  6. Algebra (fall 2011-2012, spring 2007-2008 and spring 2006-2007).