Dr. Luigi Ferraro

Department of Mathematics
Texas Tech University

Curriculum Vitae

Positions

Research Interests

One of my research interests is in commutative algebra, in particular in the use of homological tools to study commutative rings. I am also interested in non-commutative algebra, in particular in the actions of Hopf algebras on rings.

Papers

Published/In Press

1. On the Noether bound for noncommutative rings.
          (with E. Kirkman, W. F. Moore and K. Peng), to appear in Proceedings of the AMS.
2. Semisimple reflection Hopf algebras of dimension sixteen.
          (with E. Kirkman, W. F. Moore and R. Won), to appear in Algebras and Representation Theory.
3. 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.
4. Simple $\mathbb{Z}$-graded domains of Gelfand-Kirillov dimension two.
          (with J. Gaddis and R. Won), J. Algebra 562 (2020), 433–465.
5. 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.
6. A bimodule structure for the bounded cohomology of commutative local rings.
           J. Algebra 537 (2019), 297–315.
7. Modules of infinite regularity over commutative graded rings.
          Proc. Amer. Math. Soc. 147 (2019), no. 5, 1929-1939.
8. Regularity of Tor for weakly stable ideals.
          (with K. Ansaldi and N. Clarke), Le Matematiche 70 N. 1 (2015), 301-310.