Publications and Preprints
PREPRINTS & WORK IN PROGRESS
- With. C. Araújo, L. Costa, B. Malmskog, E. Menezes, C. Salgado and . L. Vicino: "Codes with hierarchy on surfaces"(2024).
- J. Mello: "Some sparsity results for quasiintegral points in orbits and correspondences with large pullback divisors".
PUBLICATIONS
1. J. Cullinan, S. Dobson, L. Frey, A. Hamakiotes, R. Hernandez, N. Kaplan, J. Mello, G. Scullard, “The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, II.” Journal of Number Theory 2024.
2. P. Ingram, D. Jaramillo, J. Mello, “An asymptotic for sums of Lyapunov exponents in families.” Proceedings of the American Mathematical Society, 2024.
3. A. Bérczes, Y. Bugeaud, K. Gyory, J. Mello, A. Ostafe and M. Sha, “Multiplicative dependence of rational values modulo approximate finitely generated groups.” Mathematical proceedings of the Cambridge Philosophical Society, 2024
4. A. Bérczes, Y. Bugeaud, K. Gyory, J. Mello, A. Ostafe and M. Sha “Explicit bounds for the solutions of superellitic equations over number fields.” Forum Mathematicum, 2023
5. J. Mello, “On effective 𝜖-integrality in orbits of rational maps over function fields and multiplicative dependence.”European Journal of Mathematics , vol. 9, 112 (2023)
6. B. Kerr, J. Mello, I. Shparlinski, “An effective local-global principle for algebraic varieties and the sum product problem in finite fields”, Journal d’Analyse Mathématique, (July, 2023).
7. J. Mello, “Cyclotomic preperiodic points for morphisms in affine spaces and preperiodic points with bounded house and height.”, Functiones et Approximatio, Comentarii Mathematici, pp. 1-21 (2022) DOI: 10.7169/facm/2022
8. B. Kerr, J. Mello, I. Shparlinski, “On elements of large order of elliptic curves and multiplicative dependent images of rational functions over finite fields”, Illinois Journal of Mathematics. 65 (2) (2021).
9. 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).
10. J. Mello, “On semigroup orbits of polynomials in subgroups”. Monatshefte für Mathematik. Vol. 197, 177-191 (2022).
11. 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).
12. J. Mello, “On the maximum modulus of integers in Kummer extensions”. Acta Mathematica Hungarica, vol. 164, pp. 66 - 84 ( 2021).
13. J. Mello, “On intersections of polynomial semigroups orbits with plane lines”, Canadian Mathematical Bulletin. Vol. 64, Issue 2, pp. 442 - 451 (2020).
14. J. Mello. “On variation of dynamical canonical heights for semigroups of morphisms”, Journal of Pure and Applied Algebra, 224, 1195-1204 (2020).
15. J. Mello. “On quantitative estimates for quasiintegral points in orbits of semigroups of rational maps”, New York Journal of Mathematics, 25, 1091-1111 (2019).
16. J. Mello. “The Dynamical and Arithmetic Degrees for Eigensystems of Rational Selfmaps”, Bulletin of the Brazilian Mathematical Society, vol. 51, pp. 569 – 596 ( 2019).
17. J. Mello, “On semigroup orbits of polynomials and multiplicative orders”, Bulletin of the Australian Mathematical Society, 102(3) 365-373 (2020).
18. J. Mello. “Canonical Heights and Monomial Maps: On effective lower bounds for points with dense orbit”, Journal of Number Theory, 205, 321-339 (2019).
19. J. Mello (joint with Yu Yasufuku). “Integral points in orbits under finitely many morphisms”, Oberwolfach conference report no. 21, 2022.