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 Henning Stichtenoth and Alev Topuzo─člu. 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. 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. Prescribing coefficients of invariant irreducible polynomials. J. Number Theory, 180:615-628, 2017. [pdf, doi]
  2. T. Garefalakis and G. Kapetanakis. Enumerating permutation polynomials. Finite Fields Appl., 47:85-93, 2017. [pdf, doi]
  3. 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]
  4. G. Kapetanakis. Normal bases and primitive elements over finite fields. Finite Fields Appl., 26:123-143, 2014. [pdf, doi]
  5. G. Kapetanakis. An extension of the (strong) primitive normal basis theorem. Appl. Algebra Engrg. Comm. Comput., 25(5):311-337, 2014. [pdf, doi, ShareIt]
  6. 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Unpublished papers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. On the existence of primitive completely normal bases of finite fields II. Submitted for publication.
  2. T. Garefalakis and G. Kapetanakis. On the existence of primitive completely normal bases of finite fields I. Submitted for publication. [arXiv]

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).