Luca Dall'Ava

Research

Seminars

Teaching



I am a Postdoctoral Research Assistant at Università degli Studi di Padova.

Since December 2021, I am part of Matteo Longo's group.

Starting October 2022, I will be a Postdoctoral Research Assistant at Università degli Studi di Milano. Tutor Marco Seveso.

Previously, I obtained my Ph.D. degree at Universität Duisburg-Essen (ESAGA) under the supervision of Massimo Bertolini.

Contacts

Via Trieste, 63, 35121 Padova (PD) - Torre Archimede, Room 639.

You can reach me at: luca.dallava -at- math.unipd.it.


You can find my CV here. I also have a Google webpage (Which might be, from time to time, more up-to-date).

A picture of me

Research interests

My research interests lie in the arithmetic of quaternion algebras and its relation with the arithmetic of elliptic curves and modular forms. In particular, special values and the behavior of p-adic and complex L-functions at critical points. I am also interested in computational approaches to the study of these number-theoretic questions.




Research


Papers accepted for publications


Preprints


Geodesics

Hereafter you can have a look at some interesting drawings that I made with the Software SageMath. Some of them appear in Special curves in modular surfaces by Matteo Tamiozzo.



Theses




Teaching


2021/2022 SS:

Together with Maria Rosaria Pati, I am teaching the Ph.D. minicourse "Basics on Hida Theory" (at Università degli Studi di Padova). You can find the program here.


Previous semesters:

2021/2022 WS: No teaching.

2020/2021 SS: Teaching assistant for Modular Forms 2 at Universität Duisburg-Essen. Lecturer: Jie Lin.

2020/2021 WS: Teaching assistant for Modular Forms 1 at Universität Duisburg-Essen. Lecturer: Jie Lin.

2018/2019 WS: Teaching assistant for Modular Forms 1 at Universität Duisburg-Essen. Lecturer: Rodolfo Venerucci. (Here are some old exercise sheets.)




Seminars



Working seminar: Dasgupta-Kakde and Stark-Heegner points (co-organized with Matteo Longo)


A working seminar about Dasgupta and Kakde's work on Hilbert's 12th Problem and Stark--Heegner points. If you are interested in giving a talk, feel free to write me an email.


Research seminar (co-organized with Matteo Longo)


A series of number theory talks, mostly on Zoom, by young researchers. You can find more details and the schedule hereafter or here. If you would like to attend one or more talks, write me or Matteo Longo an e-mail.