|
My research interests include commutative ring theory, where I specialize in factorization theory. I am particularly interested in questions involving the preservation of factorization properties in extensions of commutative rings. My doctoral thesis focused on unique factorization in polynomial rings with zero divisors. More recently, I have explored factorization in the settings of numerical semigroup algebras as well as monoid rings with zero divisors.
In the 2020-2021 academic year I will be working with the Topology Geometry and Data Analysis group at The Ohio State University studying applications of persistent homology to data analysis thanks to support from NSF RTG #1547357. |
|
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
(4) Alexander J. Barrios, Ranthony A.C. Edmonds, and Roberto Soto. Math Alliance: Investing in Tomorrow Today. [book Chapter to appear in Count Me In: Community and Belonging in Mathematics by Della Dumbaugh & Deanna Haunsperger]
(3) Ranthony A.C. Edmonds and John H. Johnson, Jr. Uncovering Hidden Figures: Designing a course focused on mathematical communities and community engagement. [to appear in Feb. 2021 edition of the Notices of the American Mathematical Society]
(2) Ranthony A.C. Edmonds and Omayra Ortega. Perserverance and Representation: A Memorial for Katherine Goble Coleman Johnson. [to appear in Feb. 2021 edition of the Notices of the American Mathematical Society]
(1) Ranthony A.C. Edmonds. Math Alliance: Field of Dreams Conference. OSU Math Department Newsletter, Autumn 2019.
(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
(4) Alexander J. Barrios, Ranthony A.C. Edmonds, and Roberto Soto. Math Alliance: Investing in Tomorrow Today. [book Chapter to appear in Count Me In: Community and Belonging in Mathematics by Della Dumbaugh & Deanna Haunsperger]
(3) Ranthony A.C. Edmonds and John H. Johnson, Jr. Uncovering Hidden Figures: Designing a course focused on mathematical communities and community engagement. [to appear in Feb. 2021 edition of the Notices of the American Mathematical Society]
(2) Ranthony A.C. Edmonds and Omayra Ortega. Perserverance and Representation: A Memorial for Katherine Goble Coleman Johnson. [to appear in Feb. 2021 edition of the Notices of the American Mathematical Society]
(1) Ranthony A.C. Edmonds. Math Alliance: Field of Dreams Conference. OSU Math Department Newsletter, Autumn 2019.
Submitted Works
(2) Ranthony A.C. Edmonds and J.R. Juett. Associates, Irreducibility, and Factorization Length in Monoid Rings with Zero Divisors. [submitted]
(1) Austin Antoniou, Ranthony A.C. Edmonds, Bethany Kubik, Christopher O'Neill, and Shannon Talbott. On Atomic Density in Numerical Semigroup Algebras [arXiv link, submitted]
(1) Austin Antoniou, Ranthony A.C. Edmonds, Bethany Kubik, Christopher O'Neill, and Shannon Talbott. On Atomic Density in Numerical Semigroup Algebras [arXiv link, submitted]
Contact Me
|
Edmonds.110@osu.edu
|
addressThe Ohio State University
Department of Mathematics 231 W. 18th Ave., 700 MW Columbus, OH 43210 |
social |