Curriculum Vitae

I have been a postdoc at Wake Forest University since the fall of 2017. My research mentor is F. Moore. 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 algebra, in particular in the actions of Hopf algebras on rings.


Click here for my curriculum vitae (October 2019).

Publications

  1. [1] Regularity of Tor for weakly stable ideals.
  2.        (with K. Ansaldi and N. Clarke), Le Matematiche 70 N. 1 (2015), 301-310.
  3. [2] Modules of infinite regularity over commutative graded rings.
  4.        Proc. Amer. Math. Soc. 147 (2019), no. 5, 1929-1939.
  5. [3] A bimodule structure for the bounded cohomology of commutative local rings.
  6.         J. Algebra 537 (2019), 297–315.
  7. [4] Three infinite families of reflection Hopf algebras.
  8.        (with E. Kirkman, W. F. Moore and R. Won), to appear in Journal of Pure and Applied Algebra.
  9. [5] Differential graded algebra over quotients of skew polynomial rings by normal elements.
  10.        (with W. F. Moore), submitted.
  11. [6] Simple $\mathbb{Z}$-graded domains of Gelfand-Kirillov dimension two.
  12.        (with J. Gaddis and R. Won), submitted.
  13. [7] Semisimple reflection Hopf algebras of dimension sixteen.
  14.        (with E. Kirkman, W. F. Moore and R. Won), submitted.
  15. [8] On the Noether bound for noncommutative rings.
  16.        (with E. Kirkman, W. F. Moore and K. Peng), submitted.
  17. [9] A decomposition of the stable cohomology of a local ring.
  18.        (with L. L. Avramov and Srikanth B. Iyengar), in preparation.
  19. [10] Taylor resolutions over skew polynomial rings.
  20.        (with D. Martin and W. F. Moore), in preparation.
  21. [11] Derived Hochschild cohomology over quotients of skew polynomial rings by normal elements.
  22.        (with W. F. Moore and J. Pollitz), in preparation.

Students Mentored

Graduate Students Mentored
  • Desiree Martin. Co-advised with F. Moore. Working on the paper Taylor resolutions over skew polynomial rings.
  • Undergraduate Students Mentored
  • Kewen Peng. Co-advised with E. Kirkman. Worked on the paper On the Noether bound for noncommutative rings.
  • Teaching (WFU)

    Graduate courses taught as principal instructor:
  • Abstract Algebra II (MST 722) - Spring 2019
  • Abstract Algebra I (MST 721) - Fall 2018
  • Undergraduate courses taught as principal instructor:
  • Linear Algebra II (MST 225) - Spring 2020
  • Multivariable Calculus (MST 113) - Fall 2019, Spring 2020
  • Ordinary Differential Equations (MST 251) - Summer 2018, Fall 2018, Summer 2019, Fall 2019
  • Calculus with Analytic Geometry II (MST 112) - Summer 2018, Spring 2019
  • Modern Algebra I (MST 321) - Spring 2018
  • Linear Algebra I (MST 121) - Spring 2018, Summer 2019
  • Calculus with Analytic Geometry I (MST 111) - Fall 2017
  • Teaching (UNL)

    Undergraduate courses taught as principal instructor:
  • Differential Equations (Math 221) - Spring 2016, Spring 2017, Summer 2017
  • College Algebra and Trigonometry (Math 103) - Fall 2015, Fall 2016
  • Contemporary Mathematics (Math 203) - Fall 2014
  • Recitations
  • Analytic Geometry and Calculus II (Math 107) - Fall 2013, Spring 2014
  • Analytic Geometry and Calculus I (Math 106) - Fall 2012, Spring 2013
  • Contacts

      ferrarl[at]wfu.edu
      330 Manchester Hall, Wake Forest University, Winston-Salem NC, 27106