Social Responsibility

In month of June, I spread headed a fund raiser raising an amount worth '1535" USD (~130000 INR) for Ms. Sparsh Bhojak - a teenage girl of same age as mine towards her treatment of Acute liver failure. My efforts were lauded by Scientists in India & abroad including Prof. Muna Naik at IISc Bengalure, Prof. Arun Pati (India's pioneering quantum scientist), Prof. Om Jee IIT, Prof. Krishnasamy Arasu - senior scientist at riverside research institute). Here is the LinkedIn post at my profile where I have uploaded details about this fundraiser.  

Teaching - Abstract Algebra & Fundamentals of Mathematics. 

I am currently doing teachings of - 

• Abstract algebra leading to "impossibility theorem of Abel" and formulating topological version of the same from the celebrated work of legendary mathematician and ICM speaker - Prof. Askold Khovanskii, a protege of our mathematical hero V I Arnold - the inspiration for us all in the AMMOC family. 

• Fundamentals of Euclidean Geometry to underprivileged students in Maharashtra. This teaching is inspired by  a letter written by legendary mathematician and mathematical physicist Barry Simon of the Caltech - "a plea in the defense of Euclidean Geometry"

PS - I will upload my notes for most of my teaching gradually towards the end of October. I am currently typesetting them in LaTeX. 

Group Theory lectures at HNBG University - A public Univ in India

--Topic - ABSTRACT ALGEBRA

--Textbook - Gallian, Hungerford, and Dummit & Foote, 

--Problem sources - These textbook, Aluffi's Algebra, Andreescu's PUTNAM & BEYOND. 

--Frequency & duration of class - 3 class a week, one hour each 

-- Hand written class notes for all classes that have happened so far. 

Audience - UG students of HNBG university and this truly remarkable opportunities I got when I expressed my desire to teach this course and then my mentor Yaashaa Golovanov connected me to Dr. Abhishek Juyal - A number theorist and an Assistant Professor of Mathematics at the same HNBG university. 

• Assignment 1 on Equivalence Relation & Partition (For the class on April 28, 2024 and was discussed on May 5, 2024). 

• Assignment 2 on Examples of Groups (For the class on May 12, 2024 and to be discussed on May 19)

• Assignment 3 on Groups & Subgroups 

• Elementary Properties of Groups (For the class on June 19,2024 )

• Discussion of the problem [27,28,29,30] in the chapter 2 of gallian.  (For the class on June 21,2024 )

• Discussion on Definition of subgroup and subgroup tests .  (For the class on June 23,2024 )

• Further discussion on subgroups.  (For the class on June 25,2024 )

• Discussion of the problems [17,18,23] in the chapter 3 of gallian.  (For the class on June 27,2024 )

• Discussion of the problems [31,33,34] in the chapter 3 of gallian.  (For the class on June 29,2024 )

• Discussion of the problems [27,28,34,35] of Dummit &Foote and Hungerford (For the class on July 4,2024 )

• Cyclic groups and basic properties (For the class on July 16,2024 )

• Generators of a finite cyclic group. (For the class on July 18,2024 )

Assignment for Euclidean Geometry lectures at Tribal Public school

--Topic -Euclidean Geometry & Theory of Equations. 

--Textbooks - Angle Chasing By Titu Andreescu, XYZ press & Lecture notes in Mathematical Olympiad Courses, Junior Volume 1, World Scientific Publication. 

--Frequency & duration of class - 3 class a week, one hour each 

--Hand written class notes for all classes that have happened so far. 

• Assignment 1 on Angle Chasing for week 1 & 2, May - 2024. 

• Assignment 2 on Congruent Triangles For week 3 & 4, May - 2024. 

Assignment for Algebra lectures at Tribal Public school

--Textbooks -  Lecture notes in Mathematical Olympiad Courses, Junior Volume 1, World Scientific Publication.