About

Counting problems, algebra, and the questions that connect them.

I am Juntao Jin, author of “An Explicit Formula and a Recurrence for OEIS A265233”, published in the Journal of Integer Sequences. My interests range across algebra, geometry, topology, and arithmetic.

Learning through a concrete problem

One saved question asked whether (ab,bc,ca) might be free of rank two. Following its relations separates the ideal from its presentation and turns a question about generators into an exact sequence. The study record preserves my question and identifies which proof was supplied with assistance.

Read the question and its correction

Reading & proposed directions

Atiyah–Macdonald supplies ring and module language; monomial ideals and Hatcher connect resolutions with topology; the arithmetic reading returns to norms and Pell equations. The shelf states the actual scope of each book. The three research pages describe planned tasks with their known boundaries.