A quote from legendary geometric analyst - Sergiu Klainerman [Princeton]
A man's mind grows narrow in a narrow place, whose mind is enlarged only because he has lived in a large place: but what is got by books and thinking is preserved in a narrow place as well as in a large place. A man cannot know modes of life as well in [Princeton] as in London; but he may study mathematics as well in [Princeton]."
Samuel Johnson
Reading Terence Tao's Analysis during our Summer Internship at the residence of my mentor
With my mentor Yaashaa Golovanov at Kalidas point in HRI Allahabad.
With my mentor Yaashaa Golovanov.
My mentor celebrating my birthday in 2024.
I am an incoming freshman at Princeton university, class of 2029. I have received full aid to study undergraduate degree in pure mathematics. I aspire to pursue a research career in theoretical Mathematics. I am in last year of my high school education and will graduate in May 2025. Since October 2020, I am pupil of Yaashaa Golovanov, director, AMMOC-an international math circle. Since last four years, he has been my sole mentor and educator for Precollege, College Mathematics, Physics and Research director for all courses (listed on this page) & research project listed here. Since October'23, under tutelage of my mentor, I have been learning following Directed Reading Courses
Undergraduate Abstract Algebra - Groups, Subgroups, Quotient Groups & Homomorphism, Group Actions, Rings, and Fields.
Introduction to Category Theory & revisiting Abstract algebra in language of Categories using the lucid Graduate level Textbook - Algebra Chapter 0 - by Mathematician Paolo Aluffi.
Mathematical Analysis by Terence Tao.
Linear Algebra, Friedberg, Incel, Spence.
Analysis on Manifolds (Abstract treatment of Calculus in Euclidean Spaces).
Appreciation of my proofs in group theory and university mathematics.
Read strong appreciation of my solution to a problem of Group theory that was asked by Prof. Krishnasamy Arasu (Wright State University, USA) at the LinkedIn while quoting to me with a hope that I might solve it. I did it and he was so happy to read solution and you can read his feelings at this LinkedIn post. Prof. Arasu is a number theorist who holds PhD from Ohio State Univ and a faculty of mathematics at Wright State University. He is senior scientist at Riverside Research Institute.
Also, you can read appreciation by the youngest ever PUTNAM fellow Arthur Rubin of my exposition on the Axiom of Choice and its various equivalences and application.
There is another appreciation by Prof. Arasu for my solution to classify all finite simple abelian group.
Reference -
Yaashaa Golovanov (Director AMMOC Circle) - my mentor, research director, and teacher for all courses in the last 4 years. His email is golovanov@ammoc.org
Copyright @Sarthak & AMMOC.
