Jorge Mello
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Oakland University
Interests: Number Theory/Arithmetic Dynamics
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I am a Visiting Assistant Professor at Oakland University.
Prior to that, I was a post-doc at the Max Planck Institute for Mathematics, Bonn, and a post-doc at York University, CA, supervised by Prof Patrick Ingram.
Before, I was a post-doc at the University of New South Wales, AU, supervised by Prof Igor Shparlinski and Prof Alina Ostafe (2019-2020).
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Research
My current research concentrates on arithmetic dynamics and arithmetic geometry. Some topics of my interest are: canonical heights, rational points on varieties, integrality questions, semigroups of rational functions.
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Publications
J. Mello. "On semigroup orbits of polynomials in multiplicative subgroups". Monatshefte für Mathematik. Vol. 197, 177-191 (2022).
J. Mello; M. Sha, “On the properties of Northcott and Narkiewicz for elliptic curves”. International Journal of Number Theory. Vol 18, Issue 10, pp. 2129-2144, 2022.
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J. Mello, “On abelian points of varieties intersecting subgroups in a torus”, Journal de Theorie de nombres de Bourdeaux. Vol 34, no. 1, pp 309-322, 2022.
J. Mello. “On variation of dynamical canonical heights for semigroups of morphisms”, Journal of Pure and Applied Algebra, 224 (2020), 1195-1204.