I am a senior undergraduate. I have learned something about elliptic curves (GTM97, GTM106, and the first few chapters of GTM151), modular forms (GTM228, Shimura's arithmetic theory of automorphic functions) and class field theory (Neukirch's books). I hope that I can write something about Heegner points as my undergraduate thesis, but my advisor seems to think that my level is not high enough to learn such things. However, I still want to learn something about Heegner points. So can someone recommend me some books or notes about Heegner points, please? Thanks in advance. By the way, I don’t know anything about p-adic uniformization. Are there any books or notes that I can read if I want to learn about this?
2026-04-12 17:12:24.1776013944
Reference on Heegner points
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I wonder how you were able to read such high level books!? I am not familiar with this topic but here are some other nots may interest of you:
Birch, Bryan, Heegner points: the beginnings, Darmon, Henri (ed.) et al., Heegner points and Rankin (L)-series. Papers from the workshop on special values of Rankin (L)-series, Berkeley, CA, USA, December 2001. Cambridge: Cambridge University Press (ISBN 0-521-83659-X/hbk). Mathematical Sciences Research Institute Publications 49, 1-10 (2004). ZBL1073.11001.
Brown, M. L., Heegner modules and elliptic curves, Lecture Notes in Mathematics 1849. Berlin: Springer (ISBN 3-540-22290-1/pbk). x, 517 p. (2004). ZBL1146.11029.
And some videos that may help you: Heegner Points 1-2-3 by Francesc Castella