Teaching
In addition to research, I also teach universitylevel mathematics courses.
This mainly involves preparing and delivering lectures and, in most cases, planning at least some of the course material itself.
I also do some grading of examinations, with the specific amounts depending on the situation.
Current Teaching
MTH5109: Geometry II: Knots and Surfaces
 Position: Instructor
 Location: Queen Mary University of London
 Term: Fall 2017
 Course webpage (On QMPlus)
This is a secondyear undergraduate course on the differential geometry of curves and surfaces, along with a brief excursion to knot theory.
Approximate list of topics covered, by week:
 Introduction (basic ideas in geometry and topology), parametric curves
 What is a curve (independence of parametrization), orientation, tangent lines
 Arc length, path/line integrals
 Curvature, plane curves (signed curvature, winding number)
 Space curves (torsion), knots
 Reidemeister theorem, knot invariants
 (Reading week, no classes)
 Jones polynomial, parametric surfaces
 What is a surface, tangent planes
 Unit normals, orientation, first fundamental form
 Surface area, surface integrals, second fundamental form
 Principal, mean, and Gauss curvatures; Theorema egregium; GaussBonnet theorem
