I am an interested in pure and applied algebra.
My research interests include commutative ring theory, applied algebraic topology, data science, mathematics education, and the history of Black mathematicians. Within commutative ring theory, I have published work related to factorization in algebraic objects such as polynomial rings, monoids, and numerical semigroup algebras, and most recently have considered factorization in power series rings. For the past two years I have worked to broaden my research in commutative algebra to applied algebraic topology. My current work is at the intersection of applied algebraic topology and metric (measure) geometry, with a particular focus on applications to electoral redistricting.
My research interests include commutative ring theory, applied algebraic topology, data science, mathematics education, and the history of Black mathematicians. Within commutative ring theory, I have published work related to factorization in algebraic objects such as polynomial rings, monoids, and numerical semigroup algebras, and most recently have considered factorization in power series rings. For the past two years I have worked to broaden my research in commutative algebra to applied algebraic topology. My current work is at the intersection of applied algebraic topology and metric (measure) geometry, with a particular focus on applications to electoral redistricting.
Publications
Research
(7) Erin Chambers, Moon Duchin, Ranthony A.C. Edmonds, Parker Edwards, JN Matthews, Anthony E. Pizzimenti, Chanel Richardson, Parker Rule, and Ari Stern. Aggregating Community Maps, 2022. [accepted to SIGSPATIAL: preprint available upon request]
(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) Alexander J. Barrios, Ranthony A.C. Edmonds, and Roberto Soto. Math Alliance: Investing in Tomorrow Today. Count Me In: Community and Belonging in Mathematics by Della Dumbaugh and Deanna Haunsperger, MAA Press, 2022. [Book chapter]
(4) Ranthony A.C. Edmonds and Omayra Ortega. Perseverance and Representation: A Memorial for Katherine Coleman Goble Johnson August 26, 2018 - February 24, 2020. Notices of the American Mathematical Society, March 2021.
(3) Ranthony A.C Edmonds and John H. Johnson, Jr. Intersections of Mathematics and Society. Early Career Section of the Notices of the American Mathematical Society, February 2021.
(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.
(7) Erin Chambers, Moon Duchin, Ranthony A.C. Edmonds, Parker Edwards, JN Matthews, Anthony E. Pizzimenti, Chanel Richardson, Parker Rule, and Ari Stern. Aggregating Community Maps, 2022. [accepted to SIGSPATIAL: preprint available upon request]
(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) Alexander J. Barrios, Ranthony A.C. Edmonds, and Roberto Soto. Math Alliance: Investing in Tomorrow Today. Count Me In: Community and Belonging in Mathematics by Della Dumbaugh and Deanna Haunsperger, MAA Press, 2022. [Book chapter]
(4) Ranthony A.C. Edmonds and Omayra Ortega. Perseverance and Representation: A Memorial for Katherine Coleman Goble Johnson August 26, 2018 - February 24, 2020. Notices of the American Mathematical Society, March 2021.
(3) Ranthony A.C Edmonds and John H. Johnson, Jr. Intersections of Mathematics and Society. Early Career Section of the Notices of the American Mathematical Society, February 2021.
(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
Research
(3) Arnab Auddy, Shreya Ayra, Ranthony A.C. Edmonds, Sunhyuk Lim, Facundo Mémoli, and Daniel Packer. Gromov Wasserstein Distances between Spheres, 2022. [preprint available upon request]
(2) Ranthony A.C. Edmonds, Susan Glenn, Harlin Lee, Soledad Villar. Quantifying the Stability of Gerrymandering through Power Analysis of a Statistical Outlier Test, 2022. [in progress]
(1) 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]
Expository
(1) Ranthony A.C. Edmonds. Hidden Figures Revealed: Dynamic History and Narratives of Black Mathematicians at The Ohio State University. [in progress]
(2) Ranthony A.C. Edmonds, Katherine Lovelace, and Hannah McDavid. TBD. [in progress - invited article for SIAM News]
(3) Arnab Auddy, Shreya Ayra, Ranthony A.C. Edmonds, Sunhyuk Lim, Facundo Mémoli, and Daniel Packer. Gromov Wasserstein Distances between Spheres, 2022. [preprint available upon request]
(2) Ranthony A.C. Edmonds, Susan Glenn, Harlin Lee, Soledad Villar. Quantifying the Stability of Gerrymandering through Power Analysis of a Statistical Outlier Test, 2022. [in progress]
(1) 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]
Expository
(1) Ranthony A.C. Edmonds. Hidden Figures Revealed: Dynamic History and Narratives of Black Mathematicians at The Ohio State University. [in progress]
(2) Ranthony A.C. Edmonds, Katherine Lovelace, and Hannah McDavid. TBD. [in progress - invited article for SIAM News]
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., 750 MW Columbus, OH 43210 |
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