College of Arts and Sciences
Faculty
Education
- Ph.D. University of Michigan, 2020 in Applied & Interdisciplinary Mathematics
- B.S. Ohio University, 2015 in Mechanical Engineering
Research Interests
- Geometric Mechanics
- Hybrid systems
- Robotic perception
Biography
Selected Publications
- "Invariant Forms in Hybrid and Impact Systems and a Taming of Zeno"
- "Existence of invariant volumes in nonholonomic systems subject to nonlinear constraints"
- "Nonparametric Continuous Sensor Registration"
- "A Poincaré-Bendixson Theorem for Hybrid Systems"
- "How do we walk? Using hybrid holonomy to approximate non-holonomic systems"
- "Optimality of Zeno Executions in Hybrid Systems"
Research Interests
- Geometric Mechanics: Lagrangian/Hamiltonian and nonholonomic systems, their stability and control
- Hybrid systems: Stability and invariants in hybrid/impact systems with applications to the Zeno phenomenon
- Robotic perception: Geometric and gradient for aligning data and pose estimation with applications to machine learning