Paolo Dolce, Ph. D.
▎Assistant Professor of Mathematics
▎Diophantine Geometry Group
◢ Website：www.paolodolce.com
◢ Email：dolce@westlake.edu.cn
"A different image came to me a few weeks ago. The unknown thing to be known appeared to me as some stretch of earth or hard marl, resisting penetration… the sea advances insensibly in silence, nothing seems to happen, nothing moves, the water is so far off you hardly hear it… yet it finally surrounds the resistant substance. "
—— A. Grothendieck
Biography
Paolo Dolce was born in Catanzaro, Italy in 1990. He obtained his Ph.D degree in Mathematics from the University of Nottingham in 2019. He then conducted postdoctoral research at the University of Udine from 2019-2022, and at Ben Gurion University from 2022-2024. He joined the Institute for Theoretical Sciences, Westlake University as an Assistant Professor of Mathematics in February 2024.
Research
Some of Paolo Dolce's recent research interests include: Diophantine approximation and its generalisation to adelic curves; Arakelov geometry; Unlikely intersections.
Representative Publications
1) A note on some Diophantine inequalities over adelic curves. Journal de Théorie des Nombres de Bordeaux (To appear).
2) (with P. Mercuri) Intersection matrices for the minimal regular model of X_0(N) and applications to the Arakelov canonical sheaf. Journal of the London Mathematical Society, 110, 2 (2024), e12964.
3) (with F. Zucconi) On the generalisation of Roth's theorem. Kyoto Journal of Mathematics (To appear).
4) (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.
5) Explicit Deligne pairing. European Journal of Mathematics, 8, Suppl. 1 (2022), pp. 101--129.
6) (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
7) Adelic geometry on arithmetic surfaces I: idelic and adelic interpretation of the Deligne pairing. Kyoto Journal of Mathematics, 62, 2 (2022), pp. 433--470.
8) Fields of definition and Belyi type theorems for curves and surfaces. New York Journal of Mathematics, 22 (2016), pp. 823--851.
Contact Information
Email：dolce@westlake.edu.cn
