PUBLICATIONS AND PREPRINTS

• • E. Agathocleous, T. Hartung (Northeastern University), K. Jansen (DESY & CyI), L. Mansur (DESY): Isogeny Graphs in Superposition and Quantum Onion Routing. Preprint. https://arxiv.org/abs/2510.01464

  • E. Agathocleous, A. Joux (CISPA), D. Taufer (KU Leuven): Elliptic Curves over Hasse Pairs, J. Number Theory, 278, (2026), 924-952. doi: https://doi.org/10.1016/j.jnt.2025.05.008.                                                   

With an Appendix by P. Moree (MPIM) and E. Sofos (University of Glasgow)

• • E. Agathocleous, On the Selmer group and rank of a family of elliptic curves and curves of genus one violating the Hasse principle, J. Number Theory, 267, (2025), 101-133. doi: https://doi.org/10.1016/j.jnt.2024.08.001.

  • E. Agathocleous: Elliptic curves with positive rank and no integral points (2024). (Under Review)

 https://arxiv.org/abs/2302.01059

• • E. Agathocleous, V. Anupindi, A. Bachmayr, C. Martindale, R. Y. Njah, and M. Stanojkovski: On homomorphic encryption using abelian groups: Classical security analysis. In: Women in Numbers Europe IV, Association for Women in Mathematics Series vol. 32, Springer, Cham, 2024. https://doi.org/10.1007/978-3-031-52163-8_1 ,  https://arxiv.org/pdf/2302.12867.pdf 

  • E. Agathocleous: The 3-part of the Ideal Class Group of a certain family of real cyclotomic fields. Acta Arithmetica, 190(3), (2019), 305−315. https://arxiv.org/abs/1810.07314

  • E. Agathocleous: On the Class Numbers of Real Cyclotomic Fields of Conductor pq. Acta Arithmetica, 165(3), (2014), 257-277. https://arxiv.org/abs/1810.07312

  • E. Agathocleous: Class Numbers of Real Cyclotomic Fields of Conductor pq (2009), (PhD Thesis - University of Maryland College Park). ProQuest Dissertations and Theses. https://drum.lib.umd.edu/handle/1903/9832

  • E. Agathocleous: "Why Abstract Algebra for Pre-Service Primary School Teachers". In: Proceedings of the 7th Congress of the European Society for Research in Mathematics Education, (2011), Rzeszow (Poland), University of Rzeszow.                                 http://www.mathematik.tu-dortmund.de/~prediger/ERME/CERME7-Proceedings-2011.pdf

  • E. Agathocleous: “Running a Math Club in Schools” (In Greek). In: Proceedings of the 14th Conference of the Cyprus Pedagogical Society, (2016), University of Cyprus, Nicosia, Cyprus.

IN PREPARATION

• • With Tian Wang (Concordia) and Doyon Kim (University of Bonn): Candidate one-way function from the first few Dirichlet coefficients of the L-function of an elliptic curve - Number Theoretic and Quantum Considerations.

  • Own Project: Parametrized Heegner points and Isogenies of Prescribed Degree.