Gauss' linking number of closed curves and algebraic topology.
Understanding the Algebraic Topology underlying the winding number of a closed curve in the plane.
Deriving the ODE for a spring which is pushed in hyperbolic geometry (it oscillates!)
Convolution and Differentiation of Distributions:
If F is a distribution and g is a function, why is (DF)*g equal to F*Dg?
Topologizing The Space Of Distributions:
Why do we need to require convergence of the derivatives when defining a topology on the set of distributions?
Some thoughts on the importance of appreciating the immensity of earth's history.
Life in Hyperbolic Space:
The dangers of life in a negatively curved space
Saying goodbye to my favorite space craft, on the eve of its entry into Saturn's atmosphere.
Cubics and Braids:
The bridge between the 3-strand braid group and the trefoil knot complement
An old note, from my early graduate school days, explaining the hopf fibration.
Lattices in the Plane and the Trefoil Knot
A note I wrote to myself in undergraduate, when trying to understand the definition of convolution.
A note from early college explaining the summation of infinite series.
Notes to myself from early college about what divergence means.
The Quadratic Formula:
A derivation of the quadratic formula interpreting monomial expressions as lengths and areas.