Koutsianas Angelos
Assistant Professor
Office: Main Building of Faculty of Sciences, 3rd Floor, Room 17
Office Hours: Thursday 12:00-13:00 or by arrangement
Email: akoutsianas@math.auth.gr Website: Personal Website
Studies
- 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.