top of page

Some of my recent research interests include:

  • Diophantine approximation and its generalisation to adelic curves

  • Arakelov geometry

  • Unlikely intersections

List of publications and preprints (newest to oldest)*

​[8] A note on some Diophantine inequalities over adelic curves.
Journal de Théorie des Nombres de Bordeaux (To appear).  PDF (update 08/23)

​[7] (with P. Mercuri) Intersection matrices for the minimal regular model of X_0(N) and applications to the Arakelov canonical sheaf. 
Submitted Preprint. PDF (update 06/23)


[6] (with F. Zucconi) On the generalisation of Roth's theorem. 

Kyoto Journal of Mathematics (To appear). PDF (update 05/23) 

[5] (with R. Gualdi) Numerical equivalence of R-divisors and Shioda-Tate formula for arithmetic varieties.
Journal für die reine und angewandte Mathematik (Crelle), 784 (2022), pp. 131--154. PDF (update 11/22)


[4] Explicit Deligne pairing.
European Journal of Mathematics, 8, Suppl. 1 (2022), pp. 101--129 . (Journal)

[3] (with W. Czerniawska) Adelic geometry on arithmetic surfaces II: completed adeles and idelic Arakelov intersection theory. 
Journal of Number Theory,  211 (2020),  pp. 235--296. PDF (update 08/21 with a list of notes and errata)


[2] Adelic geometry on arithmetic surfaces I: idelic and adelic interpretation of the Deligne pairing.
Kyoto Journal of Mathematics, 62, 2 (2022),  pp. 433--470. PDF


​[1] Fields of definition and Belyi type theorems for curves and surfaces.
New York Journal of Mathematics, 22 (2016), pp. 823--851.  (Journal)



Remarks. [1] is the outcome of my Master Thesis at the University of Udine. [2] and [3] are the outcome of my PhD thesis at the University of Nottingham.

*This page contains the most updated versions of the papers, so they may  slightly  vary from the published ones. In most cases the changes involve  typos and misprints, nevertheless when changes are more meaningful a list of errata is provided. 

On  Arxive my papers are not being updated.  

bottom of page