Research

Published and accepted papers

• Generalized Pohst inequality and small regulators, (with Giuseppe Molteni), to appear in Mathematics of Computation, DOI: https://doi.org/10.1090/mcom/3954 Arxiv link

• On the typical rank of elliptic curves over Q(T), (with Sandro Bettin and Christophe Delaunay), Research in Number Theory, (2022) 8:69, DOI: 10.1007/s40993-022-00377-y    ArXiv link 

• Arithmetic equivalence for non-geometric extensions of global function fields, (with Hassan Oukhaba), Journal of Number Theory 243 (2023), pp. 385-411, https://doi.org/10.1016/j.jnt.2022.07.003, ArXiv link 

• A conjectural improvement for inequalities related to regulators of number fields, Bollettino dell'Unione Matematica Italiana (2021), 14: 609-627.  DOI: https://doi.org/10.1007/s40574-021-00298-1 ArXiv link 

• Generalization of a Pohst's inequality, (with Giuseppe Molteni), Journal of Number Theory, Volume 228, November 2021, pp. 73-86. DOI: 10.1016/j.jnt.2021.04.014. Arxiv link 

• On small discriminants of number fields of degree 8 and 9,  Journal de Théorie des Nombres de Bordeaux, Tome 32 (2020), pp. 489-501.  Link

• Discriminants of number fields and surjectivity of trace homomorphism on rings of integers, Rendiconti Sem. Mat. Univ. Pol. Torino, Volume 78,  Issue 1 (2020) , pp. 13-19.  Link 

• On locally GCD equivalent number fields, Graduate Journal of Mathematics, Volume 5, Issue 1 (2020), pp.28-37.  Link 

•  The minimum discriminant of number fields of degree 8 and signature (2,3), Journal of Number Theory, Volume 198, May 2019, pp. 386-395.  DOI: 10.1016/j.jnt.2018.09.007 . ArXiv link 

Preprints

• The first and second moment for the length of the period of the continued fraction expansion for sqrt(d), (with Loic Grenié and Giuseppe Molteni), Arxiv link

• Ranks of elliptic curves over Q(T) of small degree in T, (with Sandro Bettin and Christophe Delaunay),  ArXiv link 

Videos

• Ranks of elliptic curves over Q(T) with small degree in T, seminar for the Number Theory Online Conference organized by italian universities, link 

• Generalization of a Pohst's inequality, accepted contribution for Junior Mathematician Research Archive, YouTube link  

My Ph.D. Thesis

• Applications of prime densities in Number Theory and classification of number fields with bounded invariants, supervised by Prof. Giuseppe Molteni, discussed on 28/01/2020.