Ph.D. in Mathematics, Warwick University, Coventry, 2016
Doctoral Thesis Subject: Computational Algebraic Geometry and Elliptic Curves
Doctoral Thesis Title: Applications of S-unit Equations to the Arithmetic of Elliptic Curves
Supervisor: Prof. John Cremona
B.Sc. in Mathematics, Ethnikon & Kapodistriakon Panepistimion Athinon, Athens, 2012
Diploma in Electrical and Computer Engineering, National Technical University of Athens, Athens 2009
Professional Experience
Assistant Professor, Aristotle University of Thessaloniki, November 2021 – Today
Associate Researcher, Laboratoire de Mathématiques Blaise Pascal, Université Clermont Auvergne et CNRS, October 2020 – August 2021
Postodoctoral Research Fellow, The University of British Columbia, Αύγουστος 2018 – Ιούλιος 2020
Postodoctoral Research Fellow, Πανεπιστήμιο Πειραιά, October 2017 – April 2018
Postodoctoral Research Fellow, Universitat Ulm, October 2016 – September 2017
Research Interests
Arithmetic Geometry
Computational Algebraic Number Theory
Elliptic Curves
Rational Points on Curves
Diophantine Equations
Galois representations
Modular Forms
Cryptography
Selected Publications
I. Bouw, A. Koutsianas, J. Sijsling, S. Wewers, Conductor and discriminant of Picard curves, Journal of London Math. Soc., 102(2), 368–404, 2020.
A. Koutsianas, An application of the modular method and the symplectic argument to a Lebesgue-Nagell equation, Mathematika, 66(1), 230–244, 2020.
Koutsianas, V. Patel, Perfect powers that are sums of squares in a three term arithmetic progression, Int. J. Number Theory, 14(10), 2729-2735, 2018.
A. Koutsianas, Computing all elliptic curves over an arbitrary number field with prescribed primes of bad reduction, Experimental Mathematics, 28(1), 1-15, 2019.
