Dr. Luigi Ferraro

Assistant Professor
School of Mathematical and Statistical Sciences
University of Texas Rio Grande Valley

Curriculum Vitae

Positions

Research Interests

Papers and Preprints

1. The Herzog-Takayama resolution over a skew polynomial ring.
           (with L. Utkina). Submitted.
2. Trimming five generated Gorenstein ideals.
           (with W. F. Moore). Submitted.
3. The Improved New Intersection Theorem revisited.
           (with L. W. Christensen). To appear in Michigan Mathematical Journal.
4. The Taylor resolution over a skew polynomial ring.
           (with D. Martin and W. F. Moore). To appear in Journal of Algebra and its Applications.
5. The InvariantRing package for Macaulay2.
          (with F. Galetto, F. Gandini, H. Huang, M. Mastroeni, X. Ni). J. Softw. Algebra Geom. 14 (2024),
           no. 1, 5-11.
6. The Eliahou-Kervaire resolution over a skew polynomial ring.
           (with A. Hardesty). Comm. Algebra 52 (2024), no. 4, 1636-1655.
7. The Tor algebra of trimmings of Gorenstein ideals.
           (with A. Hardesty). Acta Math. Vietnam. 48 (2023), no. 4, 567-604.
8. Rigidity of Ext and Tor via flat-cotorsion theory.
           (with L. W. Christensen and P. Thompson). Proc. Edinb. Math. Soc. (2) 66 (2023), no. 4,
           1142-1153.
9. The homotopy Lie algebra of a Tor-independent tensor product.
           (with M. Gheibi, D. A. Jorgensen, N. Packauskas and J. Pollitz). Illinois J. Math 67 (2023), no. 2,
           383-407.
10. Support varieties over skew complete intersections via derived braided Hochschild
            cohomology. (with W. F. Moore and J. Pollitz), J. Algebra 596 (2022), 89-127.
11. Semisimple reflection Hopf algebras of dimension sixteen.
           (with E. Kirkman, W. F. Moore and R. Won), Algebr. Represent. Theory 25 (2022), no. 3, 615-647.
12. On the Noether bound for noncommutative rings.
           (with E. Kirkman, W. F. Moore and K. Peng), Proc. Amer. Math. Soc. 149 (2021), no. 7, 2711–2725.
13. Differential graded algebra over quotients of skew polynomial rings by normal elements.
           (with W. F. Moore), Trans. Amer. Math. Soc. 373 (2020), no. 11, 7755–7784.
14. Simple $\mathbb{Z}$-graded domains of Gelfand-Kirillov dimension two.
           (with J. Gaddis and R. Won), J. Algebra 562 (2020), 433–465.
15. Three infinite families of reflection Hopf algebras.
           (with E. Kirkman, W. F. Moore and R. Won), J. Pure Appl. Algebra 224 (2020), no. 8, 106315.
16. A bimodule structure for the bounded cohomology of commutative local rings.
            J. Algebra 537 (2019), 297–315.
17. Modules of infinite regularity over commutative graded rings.
           Proc. Amer. Math. Soc. 147 (2019), no. 5, 1929-1939.
18. Regularity of Tor for weakly stable ideals.
           (with K. Ansaldi and N. Clarke), Le Matematiche 70 N. 1 (2015), 301-310.