Question

Is my writing for the email correct? I mean grammatically and academy.

Dear Dr. Muller,
Greetings!
I would like to thank you for your assistance.
I looked at the offer from University of Manchester and I found that there were two conditions are master's degree with GPA of 3.2 or higher and Two satisfactory references issued on official headed paper, signed and dated by referees
I think I provided official transcript with GPA of 3.667 and two references to Dr.George on Oct 20, 2019.
Currently, I am studying master's degree in Physics at Columbia University in US. And I will graduate on Dec 14, 2019.
I will attach you all the required documents in this email. It is my kind request to you to help me to get a Final admission (unconditional) because this is a prerequisite by my sponsor to upgrade my scholarship from US to UK.
Thanks, and Best regards
Sam

Answer 1

Instead of "I would like to thank you...", you could say, "Thank you...."

I looked at the offer from the University of Manchester (the is missing) and ( I can be omitted as that is repetition as you already started with I in the sentence) found that there were two conditions (instead of conditions, you could use "requisites): one (it should read one instead of are).

I had provided (instead of I think I provided, it should read I had provided) ...... and two references from (instead of to,it should be from) ......

Currently, I am doing (instead of studying, doing can be thought of) ......

I am attaching all the required documents (instead of I will attach, it should read I am attaching; also omit you) ...

Rest all seems o.k and good.