## 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]