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Haley Yaple serves as Chair of the Mathematics Department and Associate Professor of Mathematics at Carthage College, where she joined the faculty in 2013 following her doctoral studies. She earned a B.S. in Mathematics and a B.S. in Mechanical Engineering from Trinity College in Hartford, Connecticut, an M.S. in Applied Mathematics from Northwestern University, and a Ph.D. in Applied Mathematics from Northwestern University in 2013. Her doctoral thesis, supervised by Dr. Daniel Abrams in the Department of Engineering Sciences and Applied Mathematics, focused on mathematical models for the dynamics of competitive systems, with applications to modeling religious shift in societies and analyzing ferromagnetism dynamics using differential equations. She presented this research at conferences and published related work during her graduate studies.
Yaple's research specializes in applied mathematics, emphasizing the modeling of dynamical systems and complex systems through basic principles, asymptotic analysis, and numerical simulations. Her projects encompass sociophysics models for social group competition, including the decline of religious affiliation verified against census data, shifts in political party affiliation in the United States, internet usage patterns across countries on empirical networks, epidemic responses to network structure changes like quarantining hubs, and temporal networks. She extended group competition models to ferromagnetism based on the Ising model in student research projects. A key publication is "Dynamics of social group competition: modeling the decline of religious affiliation" co-authored with D.M. Abrams and R.J. Wiener in Physical Review Letters (2011, volume 107, p. 088701). Yaple participates in mathematical modeling workshops, including PIC Math, Mathematical Problems in Industry (topics: medical data machine learning, glass flow manufacturing), and Mathematical Modeling in Industry. At Carthage, she teaches courses such as Calculus I and II, Differential Equations, Multivariate Calculus, Discrete Structures, Mathematics for Scientists and Engineers, Applied Contemporary Mathematics, and Quantitative Social Justice. She co-coordinates the Dual-Degree Program in Engineering, advises senior theses and summer research, and represents the Mathematics Department in the 2024-26 TPSE Math Creating Opportunities in Mathematics through Equity program.

Photo by Osarugue Igbinoba on Unsplash
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