u/shashypants

I have been getting all these posts of pahadi origin sportmen and women in my feed
I was wondering if there are any pahadi people in academia too

Hello guys,
I would like to know how good TIFR CAM Bangalore is consdered ingeneral and whether profs there give good LORs if you doexit after masters for pursuing Phd abroad.
And whether TIFR CAM being applicable maths has some kind of scope for industry too
(want to keep my options open, but yeah I would like to do research in something related to probability, linear algebra, analysis. convex analysis ingeneral)

What are the different paths into mathematical research, from the basics to actual research?

I will be starting my master’s this year, and I hope to become capable of proving at least a small new result, maybe a minor improvement, a special case, a variation, or something similar so that I can improve my chances for a good PhD and also understand what research is really like.

What should I do? Do people just randomly read papers on arXiv, or are there papers whose purpose is to point out what still needs to be done? I am completely new to this.

I want a guide to the different paths in mathematics so that I can at least build foundations in areas I am currently interested in.

Can people who did ISI MMath from ISI Kolkata share their expeirnces and give tips etc regarding MMath their

Whats a comfortable cutoff for MSTAT ie cutoff comfortable for getting admission provided you dont screw up your interview

I’m currently a math student (entering a fairly serious graduate-level program), and I’ll be honest, I wasted a lot of time in my earlier years.
I only discovered my love for maths in the last semester even though I had been pursuing a bachelors in Maths

I did “well enough” in courses, but I didn’t build real depth. I often studied for exams, didn’t always fully internalize proofs, skipped hard exercises, and now it’s catching up to me.

I don’t want shortcuts anymore, I want to actually understand mathematics deeply and be capable of doing a PhD.

My main weak areas are:

• Algebra (by far the weakest)
• Then topology
• Then analysis (relatively better but still not fluent enough)

My goal over the next few months is:

1. Rebuild upto first-year graduate-level foundations properly
2. Be in a position where classes feel like reinforcement, not first exposure
3. Eventually do a solid project and aim for a good PhD

I had a few questions:

1. What are the best foundational books you would recommend for:
   • Algebra (groups → rings → modules → fields)
   • Topology (point-set + maybe algebraic topology later)
   • Measure theory / analysis
2. How should I actually study these books?
   • How many exercises?
   • Should I aim for full rigor or move faster?
3. What differentiates someone who is “PhD-ready” vs just “good at coursework”?
4. If you were in my position (some foundation but shaky depth), what would you do over 2–3 months?

I know I messed up earlier, but I’m serious about fixing it now. I’d really appreciate honest advice.

PS: I found this list of maths, are there any other siilar resources given a list of maths textbooks?https://www.reddit.com/r/learnmath/comments/1ipzccb/list_of_math_books/

Whats the cutoff for CMI msc maths?
Also I selected all three options ie Maths, CS, Data Science and am confused what exam I would be appearing for
(Dont scold me, i am just giing the exam for experience,)