dr. M. Melistas | People Pages: Find employees & contact details

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
- Function Field
- Birch and Swinnerton-Dyer Conjecture
- Elliptic Curve
- Bases
- Cycles
- Integer
- Odd Order

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

An analogue of a conjecture of Rasmussen and Tamagawa for abelian varieties over function fields (Accepted/In press). Melistas, M.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

Universal quadratic forms and Dedekind zeta functions. ArXiv.org. Kala, V. & Melistas, M.https://doi.org/10.48550/arXiv.2311.12911Reduction and isogenies of elliptic curves. Melistas, M.An analogue of a conjecture of Rasmussen and Tamagawa for abelian varieties over function fields. Melistas, M.A divisibility related to the Birch and Swinnerton-Dyer conjectureJournal of Number Theory, 245, 150-168. Melistas, M.https://doi.org/10.1016/j.jnt.2022.10.004

2022

Purely additive reduction of abelian varieties with torsionJournal of Number Theory, 239, 21-39. Melistas, M.https://doi.org/10.1016/j.jnt.2021.10.015

Research profiles

Courses academic year 2023/2024

Courses in the current academic year are added at the moment they are finalised in the Osiris system. Therefore it is possible that the list is not yet complete for the whole academic year.