I have taught across the undergraduate curriculum and at the graduate level, including graduate courses in Riemannian geometry, geometric analysis, and geometric relativity at Caltech.
MATH 3376 Applied Linear Algebra
MATH 2472 Calculus II
MA 109A Introduction to Geometry and Topology I (Point-set topology, Fundamental groups, Simplicial homology)
MA 109B Introductio to Geometry and Topology II (Differential Geometry of Curves and Surfaces)
MA 157A Riemannian Geometry (Graduate Course)
MA 191A Selected Topics in Mathematics (Graduate Course - Geometric Relativity)
Teaching Assistant, Topics in Geometric Flows and Minimal Surfaces, Summer 2023
MTH 210 Introduction to Linear Algebra
MTH 311 Introduction to Ordinary Differential Equations
MATH 2110 Multivariable Calculus (Discussion)
MATH 1131 Calculus I Honors (Discussion)
MATH 2410 Elementary Differential Equations (Primary Instructor)
MATH 1132 Calculus II (Discussion)
Research Mentor, Honors Summer Math Camp, Mathworks, Texas State University, 2026-present.
I mentor a four-student team studying the information geometry of wrapped normal distributions --- the Fisher metric, a cups-versus-cap comparison, and the resulting curvature analysis --- with the work continuing toward a joint paper.
Session Leader, Calculus II Bootcamps, Texas State University, 2025-2026.