Joseph Johnson

Joseph Johnson is an Assistant Professor in the Department of Mathematics and Statistics at Carleton College, specializing in nonlinear dynamics and mathematical modeling of social and biological systems. He holds a PhD from Northwestern University and dual BS/MS degrees from the University of Akron. His research focuses on phenomena such as bimodality in market competition, anisogamy evolution, and oscillator synchronization. He has taught courses at Carleton, the University of Michigan, and Northwestern, emphasizing agent-based modeling and applied mathematics.

Education:

• PhD, Applied Mathematics, Northwestern University (2020)
• MS, Applied Mathematics, University of Akron (2015)
• BS, Applied Mathematics and Economics, University of Akron (2015)

Research Themes: His work bridges mathematics with real-world systems, exploring how nonlinear dynamics explain social market structures, biological evolution of reproductive strategies, and synchronization patterns in coupled systems. Notable projects include modeling name-brand/generic market splits and the evolutionary origin of anisogamy.

Teaching & Mentorship: He has taught courses in multivariable calculus, differential equations, and agent-based modeling at multiple institutions. His pedagogical focus includes active learning and computational tools like NetLogo for complex systems education.

Grants & Recognition: His research has been supported by the National Science Foundation (NSF). He has contributed to SIAM publications and presented at conferences like Dynamics Days US.