Joseph Johnson

Education & Professional History

University of Akron, BS, MS; Northwestern University, PhD

Northwestern University Ph.D., Engineering Sciences and Applied Mathematics (2020)
Dissertation: Multimodality in Social and Biological Systems

University of Akron B.S./M.S., Applied Mathematics (2015)
Thesis: Modeling Monitoring of an Industry in a Game-Theoretic Framework with Imperfect Information

I use a variety of computational tools (i.e., differential equations, agent-based modeling, and networks) to model social and biological phenomena. I have studied the development of name-brands and generics, the evolution of anisogamy (sex cells that differ in size), and the formation of multimodality for a generalized Kuramoto model (a standard model for synchrony). I am currently interested in trying take these tools and use them to study areas of inequity in society.

• J.D. Johnson, A. Redlich, D.M. Abrams “A Mathematical Model for the Origin of Name Brands
and Generics.” SIAM Review 64.3 (2022): 625-639; https://doi.org/10.1137/20M1360888
• J.D. Johnson, N.L. White, A. Kangabire, D.M. Abrams “A Dynamical Model for the Origin of
Anisogamy.” Journal of Theoretical Biology 521, (2021): 110669; https://doi.org/10.1016/j.
jtbi.2021.110669
• J.D. Johnson, D.M. Abrams “A Coupled Oscillator Model for the Origin of Bimodality and
Multimodality”. Chaos 29, (2019): 073120; https://doi.org/10.1063/1.5100289
• J.D. Johnson “Modeling MonitorinJg of an Industry in a Game-Theoretic Framework with
Imperfect Information”. OhioLINK Electronic Theses and Dissertations Center (2015); http:
//rave.ohiolink.edu/etdc/view?acc_num=akron1431097174

Gaming, Football, Wine and Good Memes