Dr. Trautwein specializes in knot theory. Knot theory is
a subfield of topology,
the area of mathematics that examines shape. In
particular, he studies the physical
and theoretical properties of harmonic knots and their
applications. He has
presented numerous talks on this research and on
the teaching of mathematics.
“An Introduction to Harmonic Knots”
in Ideal Knots, World Scientific
Publishing, 2000.