Curriculum Vitae

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.


Click here for my curriculum vitae (May 2019).

Publications

  1. [1] Regularity of Tor for weakly stable ideals.
  2.        (with K. Ansaldi and N. Clarke), Le Matematiche Vol. 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.         Accepted for publication in Journal of Algebra.
  7. [4] Three infinite families of reflection Hopf algebras.
  8.        (with E. Kirkman, W. F. Moore and R. Won), submitted.
  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 16.
  14.        (with E. Kirkman, W. F. Moore and R. Won), in preparation.
  15. [8] Counterexamples to the Noether bound over noncommutative rings.
  16.        (with E. Kirkman and K. Peng), in preparation.
  17. [9] A decomposition of the stable cohomology of a local ring.
  18.        (with L. L. Avramov and Srikanth B. Iyengar), in preparation.

Students

Graduate Students
  • Desiree Martin. Co-advised with F. Moore. Working on free resolutions of monomial ideals over skew polynomial rings.
  • Undergraduate Students
  • Kewen Peng. Co-advised with E. Kirkman. Worked on the paper Counterexamples to the Noether bound over noncommutative rings.
  • Teaching (WFU)

    Graduate courses taught as principal instructor:
  • Introduction to Commutative Algebra (MST 383/683) - Spring 2020
  • Abstract Algebra II (MST 722) - Spring 2019
  • Abstract Algebra I (MST 721) - Fall 2018
  • Undergraduate courses taught as principal instructor:
  • Multivariable Calculus (MST 113) - Fall 2019
  • 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