Fun Problems in Commutative Algebra

Module structure of I^n/I^{n+1}

I-Ulrich modules over $1$-dimensional singularities

Lech invariant for ideals in $1$-dimensional singularities

Higher syzygy categories over $1$-dimensional singularities

Hilbert function of canonical modules of $1$-dimensional singularities

Regularity of small powers

Gaps in sumsets

Ext and Projectivity over Artinian complete intersection

Product vs Sum in $K[x,y,z]$

Number of edges versus minimal vertex cover