Siva S, a student from Cheenta got into Purdue University for Ph.D. in Mathematics.
Tell us about yourself.
I am Siva S, a student from Amrita Vishwa Vidyapeetham, Coimbatore, Tamil Nadu. I have got admission into Purdue university for my PhD in mathematics.
Math is an form of art like music, paintings and dance. The beauty is its abstractness. More and more beauty is found and experienced when more abstract proofs are given. That is what made me fall for abstract algebra. Especially commutative algebra. There is no reason why a painter likes to do painting, it is just their passion to see his or her imagination. The same is for me when it comes to algebra.
Can you suggest some resources (books, YouTube channels and websites) that had helped you in your preparation?
Unlike any other fields of mathematics algebra requires a lot of books and topics to be learned before research.
The books that helped me for learning commutative algebra are the following:
algebra - Dummit and Foote
Algebra - Herstien
Algebra - Artin
Algebra - Serge Lang
Commutative algebra - Atiyah and MacDonald
Commutative algebra - Zarisky
Commutative algebra- Balwanth Singh
Commutative algebra- David Eisenbud
Algebraic Geometry - Harstone