# Dr. Luigi Ferraro

Department of Mathematics

Wake Forest University

Department of Mathematics

Wake Forest University

I have been a postdoc at Wake Forest University since the fall of 2017. My research mentor is F. Moore and my teaching mentor is J. Rouse. I was a graduate student at UNL from the fall of 2011 to the summer of 2017. My advisors were L. Avramov and S. Iyengar. 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 algebras, in particular in the actions of Hopf algebras on rings.

- [1] Regularity of Tor for weakly stable ideals.
- (with K. Ansaldi and N. Clarke), Le Matematiche Vol. 70 N. 1 (2015), 301-310.
- [2] Modules of infinite regularity over commutative graded rings.
- Proc. Amer. Math. Soc. 147 (2019), no. 5, 1929-1939.
- [3] A bimodule structure for the bounded cohomology of commutative local rings.
- Accepted for publication in Journal of Algebra.
- [4] Three infinite families of reflection Hopf algebras.
- (with E. Kirkman, W. F. Moore and R. Won), submitted.
- [5] Differential graded algebra over quotients of skew polynomial rings by normal elements.
- (with W. F. Moore), submitted.
- [6] Simple $\mathbb{Z}$-graded domains of Gelfand-Kirillov dimension two.
- (with J. Gaddis and R. Won), submitted.
- [7] Semisimple reflection Hopf algebras of dimension sixteen.
- (with E. Kirkman, W. F. Moore and R. Won), submitted.
- [8] On the Noether bound for noncommutative rings.
- (with E. Kirkman, W. F. Moore and K. Peng), submitted.
- [9] A decomposition of the stable cohomology of a local ring.
- (with L. L. Avramov and S. B. Iyengar), in preparation.
- [10] Taylor resolutions over skew polynomial rings.
- (with D. Martin and W. F. Moore), in preparation.
- [11] Derived Hochschild cohomology over quotients of skew polynomial rings by normal elements.
- (with W. F. Moore and J. Pollitz), in preparation.

Stable cohomology of local rings and Castelnuovo-Mumford regularity of graded modules.

ferrarl[at]wfu.edu

330 Manchester Hall, Wake Forest University, Winston-Salem NC, 27106