Great Writting
Some articles, books, etc have inspired me.
I follow Vakil's idea. There is a discussion about this here.
Here is a useful list of books. There are also some collections.
Wiki also has a list.
Books/Lecture Notes
Topology Lecture by Prof. Vu Quang Huynh
Stokes' Theorem Lecture by Prof. Vu Quang Huynh
Diophantine Approximation Lecure by Prof. Jan-Hendrik Evertse
Modular Forms Lecture by Prof. Peter Bruin and Prof. Sander Dahmen
Elliptic Curves by Prof. Joseph Silverman
Local Fields (hand-written notes) by Prof. Adrian Iovita
P-Adic Monodromy and the Birch and Swinnerton-Dyer Conjecture by Prof. Bary Mazur and Prof. Glenn Stevens
Modular Forms and Fermat's Last Theorem by Prof. Gary Cornell et al.
Rigid Geometry by Prof. Werner Lutkebohmert
Elliptic curves over function fields by Prof. Ulmer
Some Problems of Unlikely Intersections in Arithmetic and Geometry by Prof. Umberto Zannier
Consended Mathematics by Prof. Dustin Clausen and Prof. Peter Scholze
Articles
l-adic Galois representations and modular forms by Sir Swinnerton-Dyer
Modular forms by Prof. Katz
p-adic BSD conjecture by Profs. Mazur-Tate-Teitelbaum
A proof of MTT conjecture by Profs. Greenberg and Stevens
Hodge-Tate decomposition of Abelian varieties by Prof. Fontaine
Coleman integration papers by Prof. Coleman
P-adic uniformization by Prof. Raynaud
Galois Deformation by Prof. Mazur
Logarithmic Geometry by Prof. Kato
Fermat Theorem Proof by Prof. Wiles
P-adic Uniformization by Prof. Iovita et al
Betti map by Profs. Andre-Corvaja-Zannier