Paolo Dolce 博士
▎数学助理教授
▎丢番图几何
◢ 网站:www.paolodolce.com
◢ 邮箱:dolce@westlake.edu.cn
个人简介
Paolo Dolce 1990年出生于意大利卡坦扎罗。2019年毕业于诺丁汉大学,获数学博士学位。2019年至2024年间,先后在乌迪内大学和本·古里安大学开展博士后研究工作。2024年2月全职加入西湖大学,担任理论科学研究院特聘研究员。
研究方向
Paolo Dolce近期研究方向包括丢番图逼近及其对adelic曲线的推广、Arakelov几何、Unlikely intersections。
代表论文
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.
联系方式
电子邮箱:dolce@westlake.edu.cn