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Department of Mathematics College of Liberal Arts and Sciences

Publications & Scholarship

My scholarly work has included research in dynamical systems and topology as well as more recent work growing out of undergraduate mentoring, computational mathematics, and applications of artificial intelligence.

Refereed Research

My research in dynamical systems and topology has focused in part on the relationship between mapping classes, topological entropy, and mathematical models of fluid mixing.

This work studies topological entropy and the efficiency of point-push mapping classes, motivated by the problem of mixing a fluid using a moving stirrer among fixed obstacles.

Undergraduate Research & Educational Scholarship

More recently, my scholarly work has developed through undergraduate mentoring and projects connecting mathematics, computer science, and artificial intelligence.

  • Divij Goyal and Jason C. Harrington. “Navigating the Swamp: Enhancing Student Involvement at UF through AI-Driven Event Navigation.” University of Florida Journal of Undergraduate Research, in press.

This project grew out of the University of Florida AI Scholars Program and explored the use of artificial intelligence to help students discover campus organizations, activities, and events. I served as the faculty mentor for the project, working with undergraduate researcher Divij Goyal from project development through publication.

Current Scholarly Interests

  • Computational mathematics and numerical analysis
  • Dynamical systems and topology
  • Mathematical models of mixing
  • Artificial intelligence in mathematics education
  • Undergraduate research and interdisciplinary computing projects