jtpmath

analysis + algebra + categories


Welcome to JTPMath, a channel dedicated to reviewing and mastering research-level mathematics with precision, structure, and depth.

I’m Jas, a research mathematician developing new results in analytic number theory— including Burns Law, a new formulation of the Prime Number Theorem.

This channel features:

Graduate review lectures — topology, measure theory, functional analysis, algebra, probability, and number theory.

Problem-solving walkthroughs — prelim problems, qualifying exams, and open research problems explained from first principles.

Research insight sessions — where theory meets discovery: from ergodic proofs of PNT to non-Euclidean analysis.

Mathematical reasoning training — not memorization, but structural understanding.

If you’re preparing for graduate exams, entering research, or rebuilding your mathematical foundation at a deeper level,
this channel is your field guide.