Torus links (4,2) and (5,2) from the
Knot Atlas
I am interested in Geometric Knot Theory. My
research uses topological knot invariants to answer questions
about the geometry of knots. (For example, how much bend or twist does a knot have?) I'm also
interested in optimization and finding ideal knot shapes. (For example, given a
piece of rope of fixed diameter, how much length is needed to tie a knot? What shape is a tight knot?)
My research has applications to biology (for example the shape of folded proteins and DNA) and
to physics (for example classifying glueballs in particle physics).
Click here for preprints,
publications and translations.
I also advise research projects for undergraduate students.
Click here for more information.
