Research

I have research interests in both Pure Mathematics and Math Education. If you think about pure mathematics as a tree, there is a very large branch dedicated to an area called Abstract Algebra. Within this larger branch, I study a sub-branch of commutative algebra called commutative ring theory. I am also very interested in math education, particularly online learning and the incorporation of technology into the classroom. 

Publications

Research
(4) D.D. Anderson and Ranthony A.C. Edmonds. Factorization in Polynomial Rings with Zero Divisors. ​[to appear in Journal of Algebra and its Applications][arXiv link] 
(3) Costello, Patrick and Edmonds, Ranthony A.C. Gaussian Amicable Pairs. Missouri J. Math. Sci. 30 (2018), no. 2, 107--116. 
(2)​ Ranthony A.C. Edmonds. Factorization in Polynomial Rings with Zero Divisors. Dissertation. University of Iowa. 2018.
(1) Ranthony A. Clark. Gaussian Amicable Pairs. Master's Thesis. Eastern Kentucky University. 2013.
Expository
(1) Ranthony A.C. Edmonds. Math Alliance: Field of Dreams Conference. OSU Math Department Newsletter, Autumn 2019.

Works in Progress

  • Ranthony A.C. Edmonds and J.R. Juett. Associates, Irreducibility, and Factorization Length in Monoid Rings with Zero Divisors. [submitted]
  • Ranthony A.C. Edmonds, Bethany Kubik, Christopher O'Neill, and Shannon Talbott. Atomic Density in Numerical Semigroup Algebras [arXiv link]
  • Ranthony A.C. Edmonds and John H. Johnson, Jr. Pedagogical Implications of the Hidden Figures Story. [to appear in Feb. 2021 edition of the Notices of the American Mathematical Society]
  • Ranthony A.C. Edmonds and Omayra Ortega. Title to be Determined (in memoriam article for Katherine Johnson​). [to appear in Feb. 2021 edition of the Notices of the American Mathematical Society]