## Research Interests.

Broadly speaking, my mathematical interests are in **Commutative Algebra** and its interactions with
**Algebraic Geometry** and **Combinatorics**.

More in details, I am working or have worked in the following topics:

- Liaison theory,
- Hilbert functions,
- Stillman's question,
- Harbourne-Huneke conjecture, Chudnovsky's conjecture and Eisenbud-Mazur conjecture
- symbolic (and regular) powers of ideals,
- Sally's Conjecture,
- minimal free resolutions and homological invariants: syzygies, projective dimension, arithmetical rank, ...
- residual intersections and j-multiplicity,
- ideals of points in projective space,
- combinatorial structures associated to (square-free) monomial ideals,
- formulas or bounds for projective dimension, regularity and arithmetical rank of monomial ideals

## CV.

At this link you can find my curriculum vitae .

## Papers.

Here you can find a list of my papers.

## Grants.

Here you can find a list of grants and fellowships.

## Talks.

Here you can find a list of my invited talks.