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.
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.
Publications
Research
(6) Austin Antoniou, Ranthony A.C. Edmonds, Bethany Kubik, Christopher O'Neill, and Shannon Talbott. On Atomic Density in Numerical Semigroup Algebras, 2021 [arXiv link, accepted: to appear in Journal of Commutative Algebra]
(5) Ranthony A.C. Edmonds and J.R. Juett. Associates, Irreducibility, and Factorization Length in Monoid Rings with Zero Divisors, 2021. (accepted: to appear in Communications in Algebra)
(4) D.D. Anderson and Ranthony A.C. Edmonds. Unique Factorization in Polynomial Rings with Zero Divisors, 2020. (accepted: to appear in Journal of Algebra and its Applications)
(3) Patrick Costello and Ranthony A.C. Edmonds. Gaussian Amicable Pairs. Missouri J. Math. Sci. 30 (2018), 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
(5) Ranthony A.C Edmonds and John H. Johnson, Jr. Intersections of Mathematics and Society. (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. (Mar. 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.
(6) Austin Antoniou, Ranthony A.C. Edmonds, Bethany Kubik, Christopher O'Neill, and Shannon Talbott. On Atomic Density in Numerical Semigroup Algebras, 2021 [arXiv link, accepted: to appear in Journal of Commutative Algebra]
(5) Ranthony A.C. Edmonds and J.R. Juett. Associates, Irreducibility, and Factorization Length in Monoid Rings with Zero Divisors, 2021. (accepted: to appear in Communications in Algebra)
(4) D.D. Anderson and Ranthony A.C. Edmonds. Unique Factorization in Polynomial Rings with Zero Divisors, 2020. (accepted: to appear in Journal of Algebra and its Applications)
(3) Patrick Costello and Ranthony A.C. Edmonds. Gaussian Amicable Pairs. Missouri J. Math. Sci. 30 (2018), 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
(5) Ranthony A.C Edmonds and John H. Johnson, Jr. Intersections of Mathematics and Society. (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. (Mar. 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.
Works in Progress
(4) OSU Interdisciplinary Faculty Team, Community Advocacy Groups, and Metric Geometry and Gerrymandering Group (MGGG) at Tufts University. Ohio Public Engagement in Neighborhoods Mapping Project. [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]
(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]
Contact Me
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Edmonds.110@osu.edu
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addressThe Ohio State University
Department of Mathematics 231 W. 18th Ave., 700 MW Columbus, OH 43210 |
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