Thomas J. Bieske

Thomas J. Bieske is Professor in the Department of Mathematics and Statistics at the University of South Florida, specializing in sub-Riemannian geometry and nonlinear PDEs. His research examines viscosity solutions, geometric analysis, and potential theory in non-Euclidean spaces.

Research focuses on:

• Viscosity solutions in Grushin/Carnot spaces
• p-Laplace generalizations with drift terms
• Geometric maximum principles
• Sub-Riemannian harmonic functions

Recent work explores uniqueness theorems for infinity Laplacian equations and quaternion-based generalizations. Recognized with Phi Beta Kappa membership and teaching awards. Supervised 7+ graduate students including recent Ph.D. graduates Robert Freeman (2020) and Zachary Forrest (expected 2024).