Zilverling

dr. M. Melistas (Mentzelos)

Lecturer
EEMCS-AM-MOR
Zilverling 4058
m.melistas@utwente.nl
+31534897136
Business card

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
    • Elliptic Curve
    • Complex Multiplication
    • Function Field
    • Torsion Point
    • Birch and Swinnerton-Dyer Conjecture
    • Torsion Subgroup
    • 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

2025

Low rank specializations of elliptic surfaces (2025)Bulletin of the Australian Mathematical Society (E-pub ahead of print/First online). Melistas, M.https://doi.org/10.1017/S0004972724001175

2024

An analogue of a conjecture of Rasmussen and Tamagawa for abelian varieties over function fields (2024)Indagationes mathematicae, 35(6), 1270-1281. Melistas, M.https://doi.org/10.1016/j.indag.2024.06.007Low rank specializations of elliptic surfaces (2024)[Working paper › Preprint]. ArXiv.org. Melistas, M.https://doi.org/10.48550/arXiv.2408.02419Universal quadratic forms and Dedekind zeta functions (2024)International Journal of Number Theory, 20(7), 1833–1847. Kala, V. & Melistas, M.https://doi.org/10.1142/S1793042124500908Reduction types of CM curves (2024)Pacific Journal of Mathematics, 329(2), 233–257. Melistas, M.https://doi.org/10.2140/pjm.2024.329.233Reduction and isogenies of elliptic curves (2024)Acta arithmetica, 215(2), 179-192. Melistas, M.https://doi.org/10.4064/aa230929-17-4Reduction types of CM curves (2024)[Working paper › Preprint]. ArXiv.org. Melistas, M.https://doi.org/10.48550/arXiv.2405.13414Torsion and twists of abelian varieties (2024)Bulletin 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 (2023)[Working paper › Preprint]. ArXiv.org. Kala, V. & Melistas, M.https://doi.org/10.48550/arXiv.2311.12911Reduction and isogenies of elliptic curves (2023)[Working paper › Preprint]. Melistas, M.

Research profiles

Courses academic year 2024/2025

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.

Courses academic year 2023/2024

Address

University of Twente

Zilverling (building no. 11), room 4058
Hallenweg 19
7522 NH Enschede
Netherlands

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