| Subject: | Algebra |
| Degree: | Department of Mathematics, National and Kapodistrian University of Athens |
| PhD: | Department of Mathematics and Applied Mathematics, University of Crete PhD Thesis: Polynomials with special properties over finite fields |
| Research Interests: | Finite fields and their applications on polynomial theory and coding theory |
| Office: | 219, 2nd Floor, Building Β |
| Contact with students: | Thursday 10:00-11:00 |
| Tel: | +3022310 60164 |
| E-mail: | kapetanakis@uth.gr |
| Personal Webpage: | http://gkapet.users.uth.gr |
Giorgos Kapetanakis obtained his BSc in Mathematics from the National and Kapodistrian University of Athens, his MSc in Pure Mathematics from the University of Creteand his PhD in Mathematics from the University of Crete. His research interests lie in the area of Finite Fields (a.k.a. Galois Fields) and their applications.
As a postdoctoral researcher, he has carried out research in Sabanci University in Istanbul (Turkey) and in Federal University of Santa Catarina in Florianopolis (Brazil). Additionally, as a visitor, he has gained significant teaching experience in the Department of Mathematics and Applied Mathematics at the University of Crete. Since January 2021 he is a faculty member of the Department of Mathematics at the University of Thessaly.
He is the author of 14 articles in peer-reviewed international scientific journals, he serves as a reviewer in 14 peer-reviewed international scientific journals and he has given invited or contributed talks in multiple international conferences and seminars.
- D. Cohen and G. Kapetanakis. Finite field extensions with the line or translate property for r-primitive elements. J. Aust. Math. Soc., to appear.
- D. Cohen and G. Kapetanakis. The trace of 2-primitive elements of finite fields. Acta Arith., 192(4):397-419, 2020.
- Kapetanakis and L. Reis. Variations of the primitive normal basis theorem. Des. Codes Cryptogr., 87(7):1459-1480, 2019.
- Garefalakis and G. Kapetanakis. On the existence of primitive completely normal bases of finite fields. J. Pure Appl. Algebra, 223(3):909-921, 2019.
- Kapetanakis. Prescribing coefficients of invariant irreducible polynomials. J. Number Theory, 180:615-628, 2017.
- Kapetanakis. Normal bases and primitive elements over finite fields. Finite Fields Appl., 26:123-143, 2014.
- T. Garefalakis and G. Kapetanakis. On the Hansen-Mullen conjecture for self-reciprocal irreducible polynomials. Finite Fields Appl., 18(4):832-841, 2012.
