Research Interests

My research is in the fields of commutative algebra, representation theory and algebraic geometry. I am particularly interested in equivariant minimal free resolutions of ideals and modules over polynomial rings. I am also interested in algorithms and computational methods, and I often use mathematical software such as Macaulay2.

Publications

10. Distinguishing k-configurations (with Y.S. Shin and A. Van Tuyl)
arXiv:1705.09195
9. Geometry of Hessenberg varieties with applications to Newton-Okounkov bodies (with H. Abe, L. DeDieu, and M. Harada)
arXiv:1612.08831
8. Degrees of regular sequences with a symmetric group action (with A.V. Geramita and D.L. Wehlau)
arXiv:1610.06610
7. The symbolic defect of an ideal (with A.V. Geramita, Y.S. Shin, and A. Van Tuyl)
arXiv:1610.00176
6. On the ideal generated by all squarefree monomials of a given degree
arXiv:1609.06396
5. Symmetric complete intersections (with A.V. Geramita and D.L. Wehlau)
arXiv:1604.01101
4. Generators of truncated symmetric polynomials
J. Pure Appl. Algebra, 221(2):276–285, 2017 - arXiv:1011.6068
3. Propagating weights of tori along free resolutions
J. Symbolic Comput., 74:1-45, 2016 - arXiv:1406.1900
2. Free resolutions and modules with a semisimple Lie group action
J. Softw. Algebra Geom., 7(1):17–29, 2015
1. Computational Methods for Orbit Closures in a Representation with Finitely Many Orbits
Exp. Math., 23(3):310–321, 2014

Ph.D. Dissertation

Free resolutions of orbit closures for representations with finitely many orbits
PDF - M2 files - arXiv:1210.6410

math.galetto.org  2015-2017 Federico Galetto