Hi, I am a little mathematic student from Asia. I am sorry if my question is not appropriate here, but anyway, I hope you will help me to find the answer.
In my college, I studied mathematics and a little physics, now I am in the final year. I concentrated on algebra(Commmutative Algebra, Algebraic Geometry...) and number theory, but in my program, they did not have much algebra courses, nor number theory course.
I am now findng an advisor to help me writing my graduate thesis, I have already found some, but I did not email or talk to them.
I also knew a foreign teacher, who is working on number theory and Iwasawa theory, and I really respect him. He taught our class in 3 months, in our connection between two university, and we had chances to talk about mathematics everytimes.
So, the question is, how can I write a letter or email to some professor that asking them to become my advisor ? What should be include in this letter?
Infact, I was quite shy when I talk directly to them.
If I want to write a letter to the foreign teacher, who was mentioned above, How and what should be included in the email ?
Hoping I can here from you soon.
Thank for reading and answer !

