Dr. Luigi Ferraro

Department of Mathematics
Texas Tech University

Curriculum Vitae

Positions

Research Interests

Papers and Preprints

1. The Eliahou-Kervaire resolution over a skew polynomial ring.
           (with A. Hardesty). Submitted.
2. The Tor algebra of trimmings of Gorenstein ideals.
           (with A. Hardesty). To appear in Acta Mathematica Vietnamica.
3. Rigidity of Ext and Tor via flat-cotorsion theory.
           (with L. W. Christensen and P. Thompson). To appear in Proceedings of the Edinburgh
           Mathematical Society .
4. The homotopy Lie algebra of a Tor-independent tensor product.
           (with M. Gheibi, D. A. Jorgensen, N. Packauskas and J. Pollitz). To appear in Illinois Journal of
           Mathematics.
5. The Improved New Intersection Theorem revisited.
           (with L. W. Christensen). To appear in Michigan Mathematical Journal.
6. The Taylor resolution over a skew polynomial ring.
           (with D. Martin and W. F. Moore). To appear in Journal of Algebra and its Applications.
7. The InvariantRing package for Macaulay2.
          (with F. Galetto, F. Gandini, H. Huang, M. Mastroeni, X. Ni). To appear in Journal of Software for
           Algebra and Geometry.
8. Support varieties over skew complete intersections via derived braided Hochschild
           cohomology. (with W. F. Moore and J. Pollitz), J. Algebra 596 (2022), 89-127.
9. 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.
10. 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.
11. 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.
12. Simple $\mathbb{Z}$-graded domains of Gelfand-Kirillov dimension two.
           (with J. Gaddis and R. Won), J. Algebra 562 (2020), 433–465.
13. 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.
14. A bimodule structure for the bounded cohomology of commutative local rings.
            J. Algebra 537 (2019), 297–315.
15. Modules of infinite regularity over commutative graded rings.
           Proc. Amer. Math. Soc. 147 (2019), no. 5, 1929-1939.
16. Regularity of Tor for weakly stable ideals.
           (with K. Ansaldi and N. Clarke), Le Matematiche 70 N. 1 (2015), 301-310.