I am lecturer at the department of applied mathematics, where I am part of the Discrete Mathematics and Mathematical Programming group.

After finishing my B.Sc. in Mathematics in 2016 at the University of Patras, Greece, I moved to the US for my graduate studies. I completed my Ph.D. degree in Mathematics at the University of Georgia in 2021, under the direction of Professor Dino Lorenzini. After that, I was a postdoctoral researcher first at the Steklov Mathematical Institute in Moscow and then at Charles University in Prague. 

Expertise

  • Mathematics

    • Abelian Variety
    • Birch and Swinnerton-Dyer Conjecture
    • Bases
    • Cycles
    • Function Field
    • Integer
    • Odd Order
    • Torsion Point

Organisations

I am interested in various problems in Algebraic Geometry, Arithmetic Geometry, and (Algebraic) Number Theory.

So far I have worked on problems related to reduction of algebraic curves and abelian varieties, on consequences of the Birch and Swinnerton-Dyer conjecture, on universal quadratic forms over number fields, as well as on integer dynamics. 

Publications

2024
Reduction types of CM curvesPacific Journal of Mathematics (Accepted/In press). Melistas, M.Reduction and isogenies of elliptic curvesActa arithmetica (Accepted/In press). Melistas, M.Universal quadratic forms and Dedekind zeta functionsInternational Journal of Number Theory (Accepted/In press). Kala, V. & Melistas, M.Torsion and twists of abelian varietiesBulletin of the London Mathematical Society, 56(2), 589-601. Melistas, M.https://doi.org/10.1112/blms.12952
2023
2022

Research profiles

Scan the QR code or
Download vCard