Alessio D'Alì

Tenure-track researcher in Mathematics

alessio202508cropped.jpg

Politecnico di Milano

Dipartimento di Matematica

Ed. 14 (Nave), ufficio 227

Via Bonardi 9

20133 Milano, Italy

Hi there!

Since January 11, 2024 I am a Ricercatore a tempo determinato di tipo B (tenure-track researcher) in the Department of Mathematics of Politecnico di Milano, Italy. I am part of the research group in Geometry, Algebra and their Applications.

Here is my cv.

My research mostly revolves around topics in commutative algebra, combinatorics, discrete geometry. I am particularly happy when these worlds come together in unexpected ways!

Some keywords:

  • Koszul algebras
  • graded free resolutions of modules and (algebraic) Betti numbers
  • initial ideals and Gröbner bases
  • monomial and toric ideals
  • simplicial complexes and posets
  • homology spheres, flag complexes, Charney-Davis’ and Gal’s conjectures
  • combinatorially defined lattice polytopes (e.g., symmetric edge polytopes)
  • equivariant Ehrhart and Hilbert series
  • matroids


selected publications

  1. On a generalization of symmetric edge polytopes to regular matroids
    Alessio D’Alì, Martina Juhnke-Kubitzke, and Melissa Koch
    Int. Math. Res. Not. IMRN, 2024
    DOI arXiv MathSciNet
  2. Koszul Gorenstein algebras from Cohen-Macaulay simplicial complexes
    Alessio D’Alì and Lorenzo Venturello
    Int. Math. Res. Not. IMRN, 2023
    DOI arXiv MathSciNet
  3. Stanley-Reisner rings for symmetric simplicial complexes, G-semimatroids and Abelian arrangements
    Alessio D’Alì and Emanuele Delucchi
    J. Comb. Algebra, 2021
    DOI arXiv MathSciNet