Expertises
Mathematics
- Abelian Variety
- Function Field
- Birch and Swinnerton-Dyer Conjecture
- Elliptic Curve
- Bases
- Cycles
- Integer
- Odd Order
Organisaties
Publicaties
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
Onderzoeksprofielen
Vakken collegejaar 2023/2024
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