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

*Pacific Journal of Mathematics*(Accepted/In press). Melistas, M.Reduction and isogenies of elliptic curves

*Acta arithmetica*(Accepted/In press). Melistas, M.Universal quadratic forms and Dedekind zeta functions

*International Journal of Number Theory*(Accepted/In press). Kala, V. & Melistas, M.Torsion and twists of abelian varieties

*Bulletin of the London Mathematical Society, 56*(2), 589-601. Melistas, M.https://doi.org/10.1112/blms.12952

*Journal of Number Theory, 245*, 150-168. Melistas, M.https://doi.org/10.1016/j.jnt.2022.10.004

*Journal of Number Theory, 239*, 21-39. Melistas, M.https://doi.org/10.1016/j.jnt.2021.10.015Tamagawa numbers of elliptic curves with torsion points

*Archiv der Mathematik, 119*, 155-165. Melistas, M.https://doi.org/10.1007/s00013-022-01722-4

## 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.

- 201400385 - Introduction to Mathematical Analysis
- 201600166 - Introduction to Mathematical Analysis
- 201600167 - Introduction to Mathematical Analysis
- 202001187 - Intro. to Math. + Calculus 1A for BIT
- 202001188 - Intro. to Math. + Calculus 1A for BMT
- 202001189 - Intro. to Math. + Calculus 1A for CE
- 202001190 - Intro. to Math. + Calculus 1A for TCS
- 202001191 - Intro. to Math. + Calculus 1A for CSE
- 202001192 - Intro. to Math. + Calculus 1A for IDE
- 202001193 - Intro. to Math. + Calculus 1A for IEM
- 202001197 - Calculus 1B for TCS
- 202001220 - Calculus 2 for CE
- 202001227 - Vector Calculus for CSE
- 202001362 - Algebra
- 202001364 - Discrete Mathematics and Algebra AM-TN
- 202300055 - Calculus 1A for ME

## Organisations

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