Teaching and Advising:
- MA-518 - Geometry of Curves and Surfaces
Geometry of curves and surfaces in space. Topics include: arclength, torsion, and curvature of curves, Frenet frame and equations; tangent spaces, shape operators, and curvatures of surfaces; metrics, covariant derivatives, parallel transport, geodesics, and Gauss-Bonnet Theorem.
- MA-755 - Introduction to Riemannian Geometry
An introduction to smooth manifolds with metric. Topics include: Riemannian metric and generalizations, connections, covariant derivatives, parallel translation, Riemannian (or Levi-Civita) connection, geodesics and distance, curvature tensor, Bianchi identities, Ricci and scalar curvatures, isometric embeddings, Riemannian submanifolds, hypersurfaces, Gauss Bonnet Theorem; applications and connections to other fields.
Course materials, homework assignments, office hours, and all other information about my classes are posted on https://wolfware.ncsu.edu/
Applied and Computational Differential and Algebraic Geometry
I am a member of the Geometry, Topology, Mathematical Physics group and the Symbolic Computation group.
- Geometric study of differential and algebraic equations.
- Symmetry reduction of differential equations and variational problems.
- Computational invariant theory: differential and algebraic
- Problems of equivalence and
symmetry under group actions.
- Geometric methods in computer image recognition and image
- Geometric modeling.
- Symbolic Computation.
Funded Research Projects
Computer code and supplementary materials
Math Programs for Young People
There are many wonderful programs in Mathematics for talented youth. The following unsorted list is by no means complete. I compiled it from programs that I am more familiar with so I have an easy reference for people asking for a recommendation.
Last updated: October, 2020.
Disclaimer: The material located at this site is not endorsed, sponsored or provided by or on behalf of North Carolina State University.