Joel Kilty

Joel Kilty serves as the H.W. Stodghill, Jr. and Adele H. Stodghill Professor of Mathematics at Centre College, where he has been a faculty member since 2009 within the Department of Mathematics.

Education

• B.A. in Mathematics, Asbury College
• M.A. in Mathematics, University of Kentucky
• Ph.D. in Mathematics, University of Kentucky

Research Interests

Professor Kilty specializes in applied analysis with emphasis on boundary value problems for partial differential equations on irregular domains, harmonic analysis techniques, and mathematical modeling of fluid dynamics through Navier-Stokes equations. His work integrates theoretical frameworks with numerical methods for solving complex differential systems, extending to practical applications in calculus education as demonstrated by his co-authored textbook.

Publications

His primary scholarly contribution is the textbook Mathematical Modeling and Applied Calculus (2018), which establishes connections between abstract mathematical concepts and tangible real-world problem solving. The work demonstrates a consistent focus on pedagogical innovation in introductory mathematics, emphasizing data-driven modeling approaches and computational applications within foundational calculus education.

Professional Memberships

• Mathematical Association of America
• American Mathematical Society