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