• Thurston–Bennequin invariant in branched covers 

My Master's thesis goal was the calculation of the Thurston–Bennequin invariant of a Legendrian knot L in a branched cover over the 3-sphere along a transverse knot T with all information given in a front projection and a colouring of T.

• Knot invariants of census knots

In a joint work of students at the HU Berlin under the supervision of Marc Kegel, we calculate knot invariants for census knots. I calculated the torsion numbers, Morse–Novikov numbers, bridge numbers and canonical genus. During the work on the Morse–Novikov Number, I may have found two 12-crossing knots with MN(K) = 4. This has yet to be verified.

• Algorithms for topological 4-manifolds

I am joining the workshop on  4-manifolds & algorithms in Regensburg to extend the focus on algorithms in low-dimension topology.

References