At the present, I am undergoing intensive research apprenticeship under the guidance of my mentor, Yaashaa Golovanov, director AMMOC,
At the present, I am undergoing intensive research apprenticeship under the guidance of my mentor, Yaashaa Golovanov, director AMMOC,
As part of my Apprenticeship in abstract algebra [at AMMOC], I underwent around a dozen of tests whose problems are compiled here.
My ongoing research work includes expository writings on the subjects of
Dummit & Foote for the Group Theory
Anthony W. Kanpp (Stonybrook) for Rings and Modules, and
Richard Elman (UCLA), Fields and Galois Theory, and
I am reviewing these materials in languages of category theory while closely following Paolo Aluff's Algebra Chapter 0.
I am also regularly involved in publishing my original solution to problems proposed in premier problem solving research journals such as Mathematical Reflection and Crux Mathematicorum. I am glad to share that I have published a total of 36 completely original solutions in these two leading journals.
You can find list of problems which were used by AMMOC to examine my understanding of the subject.
In addition to this, here is a list of problems that were raised by Prof. Pradeep Das (PhD, HRI), an algebraic geometer, during evalaution of my understanding of the core curriculum of abstract algebraic structures as listed on this page.