r/Indianmathnerds

I'm his older brother, currently in college majoring in chem engineering. My younger brother is 15 and spends most of his free time doing mathematics. He also keeps a diary where he writes down his mathematical ideas, observations, achievements, and anything interesting he comes across.

This is some of the things he has independently worked on:

Rediscovered the basic trigonometric ratios before learning them in school.

Explored prime-generating polynomials. Explored ideas related to the nth prime.( He was 13 yr old innocent guy then )

Arrived at symmetric variation of the Goldbach conjecture.

-Investigated prime around expressions of the form 2^n + 6 ( if n is even then primes are -3 and + 1 from it and if odd then -1 , +3 from it , works for n as 1,2,3,4,5,6,16,18 etc.

Developed an infinite-triangle method for approximating polygon and segment areas.

Created generators for Pythagorean triples.

Arrived at the positive-index binomial theorem formula by observing patterns in expansions and translating those observations into a general formula.

Etc etc much more a lot of work and ideas he has he is kinda obsessed

I'm not claiming that any of these are new discoveries or that he has solved any famous open problems. I know it's possible that many of these ideas already exist and that he may have rediscovered known mathematics independently.

I'm just curious how unusual this kind of mathematical journey is for someone his age, and what you think would be the best direction for him going forward.

Hi! We two are 2nd year students at ISI Kolkata, and we are looking to teach students aspiring for ISI and CMI. We also qualified IOQM (qualifying exam for math olympiad in India) and have experience in teaching online.

We shall go over the theory as required, conduct problem solving sessions, and also take mock tests for a complete preparation.

So if you know someone interested or have any leads, do dm me.

Thanks!

I got selected for intregated phd in Niser and msc in IITK. Niser gives monthly stipend too. My main goal to is complete msc here and then opt for phd in a foreign university. Which one will give me better opportunities.

I was planning to create a discord server counterpart to this subreddit, where we could discuss problems and do fun presentations every weekend or so on stuff that we are learning/encountering in mathematics. it would be a great way for many of us to tack on little research projects to our mathematical portfolio so to say.

https://discord.gg/RGJpDaKZ8 join!!