I am a commutative algebraist. I specialize in factorization theory, which is concerned with the decomposition of mathematical objects. A consistent thread that permeates my research program is the investigation of the decomposition of mathematical objects in order to determine such an objects larger structural properties. The mathematical objects of my focus include commutative rings, monoids, and semigroups. In the 2020-2021 academic year I am working with the Topology Geometry and Data Analysis group at The Ohio State University to broaden my research program thanks to support from NSF RTG #1547357.
Expository (5) Ranthony A.C Edmonds and John H. Johnson, Jr. Intersections of Mathematics and Society. (to appear in February 2021 Early Career Section of the Notices of the American Mathematical Society) (4) Ranthony A.C. Edmonds and Omayra Ortega. Perseverance and Representation: A Memorial for Katherine Coleman Goble Johnson August 26, 2018 - February 24, 2020. (to appear in Feb. 2021 edition of the Notices of the American Mathematical Society) (3) Alexander J. Barrios, Ranthony A.C. Edmonds, and Roberto Soto. Math Alliance: Investing in Tomorrow Today. (to appear as book chapter in Count Me In: Community and Belonging in Mathematics by Della Dumbaugh and Deanna Haunsperger, MAA Press) (2) Ranthony A.C. Edmonds and John H. Johnson, Jr. Exploring Mathematical Careers and Community through the Hidden Figures Story. The Ohio State University Department of Mathematics Newsletter, Summer 2020. (1) Ranthony A.C. Edmonds. Math Alliance: Field of Dreams Conference. The Ohio State University Department of Mathematics Newsletter, Autumn 2019.
(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]
Works in Progress
(3) Ranthony A.C. Edmonds, Bethany Kubik, Christopher O'Neill, and Shannon Talbott. On Atomic Density in Power Series Rings over Numerical Semigroup Algebras [in progress] (2)Ranthony A.C. Edmonds, Sarah Klanderman, and Emily Rudman. A Dold-Kan Theorem for Simplicial Abelian (Inverse) Semigroups. [in progress] (1)Ranthony A.C. Edmonds. Hidden Figures Revealed: Dynamic History and Narratives of Black Mathematicians at The Ohio State University. [in progress]
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