 Commutative Algebra
 Computational Algebra
 Combinatorics
 Algebraic Geometry

 Asymptotic behavior
of algebraic invariants
 Interactions between commutative/computational
algebra and combinatorics
 Regularity and
multigraded regularity
 Symbolic and ordinary
powers of homogeneous ideals
 Monomial ideals,
edge/cover ideals, algebraic algorithms to detect combinatorial
invariants
 Syzygies/free
resolution, normality and CohenMacaulayness
of embedded projective schemes
