Carlo Pagano
Max Planck Institute for Mathematics, Bonn.
NEW WEBPAGE
I am a postdoc at Glasgow University and a visitor at the Max Planck Institute for Mathematics in Bonn, where I was a post-doc from September 2018 to August 2020. Before that I completed my Ph.D. in 2018 under the supervision of Hendrik Lenstra in Leiden, Netherlands.
My interests lie in number theory.
Publications and preprints:
17. The size of arboreal images, I: exponential lower bounds for PCF and unicritical polynomials
(arXiv).
16. On Malle's conjecture for nilpotent groups, I
(with P. Koymans arXiv).
15. A sharp upper bound for the 2-torsion of class groups of multiquadratic fields
(with P. Koymans arXiv).
14. Higher Redei reciprocity and integral points on conics
(with P. Koymans arXiv).
13. Effective convergence of coranks of random Redei matrices
(with P. Koymans arXiv).
12. Constraining images of quadratic arboreal representations
(with A. Ferraguti arXiv)
International Mathematics Research Notices, (2020).
11. On the 4-rank of class groups of Dirichlet biquadratic fields
(with E. Fouvry and P. Koymans arXiv).
Journal of the Institute of Mathematics of Jussieau , (2020)
10. Diameters of random Cayley graphs of finite nilpotent groups
(with D. El-Baz arXiv).
Journal of Group Theory, (2021)
9. Higher genus theory
(with P. Koymans arXiv)
International Mathematics Research Notices, (2020).
8. On the negative Pell equation
(with S. Chan, P. Koymans and D. Milovic arXiv).
7. The inverse problem for Arboreal Galois representations of index two
(with A. Ferraguti and D. Casazza, arXiv).
6. On the distribution of Cl(K)[l∞] for degree l cyclic fields
(with P. Koymans, arXiv).
J. Eur. Math. Soc. (JEMS) (to appear).
5. Jump sets in local fields
(arXiv).
4. Unit equations and Fermat surfaces in positive characteristic
(with P. Koymans)
Acta Arithmetica, 193 (2020), 133-156.
3. 4-ranks and the general model for ray class groups of imaginary quadratic number fields
(with E.Sofos, arXiv).
2. Calculating the power residue symbols and Ibeta (with K. de Boer)
Proceedings of the International Symposium on Symbolic and Algebraic Computation, (2017).
1. On the equation x+y=1 in finitely generated groups in positive characteristic (with P. Koymans)
The Quarterly Journal of Mathematics, 68 (2017), 923-934.
CV
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