Doctoral theses drawing on work by Lee Rudolph


Braided surfaces, mutually braided open books:
I. J. Nutt, Braid index of satellite links, University of Liverpool, 1995.
Marta Rampichini, Exchangeable fibred links, University of Milan, 1998.
Daniele Zuddas, Trecce bidimensionali, University of Camerino (Italy), 2000.
Links at infinity, enhanced Milnor number:
Arnaud Bodin, Fibres et entrelacs irréguliers à l'infini, Université Paul Sabatier (Toulouse, France), 2000.
David Cimasoni, Alexander invariants of multilinks, Université de Genève (Switzerland), 2002.
Laure Eichenberger, L'action des automorphismes algébriques de C² sur le comportement à l'infini d'une courbe affine plane, Université de Genève (Switzerland), 2000.
Laurence Fourrier, Topologie d'un polynôme de deux variables complexes au voisinage de l'infini, Université Paul Sabatier (Toulouse, France), 1993.
John Christopher Sligar, On the minimal upsilon-degree of the generalized Jones polynomial, University of Georgia (1990).

Aspects of quasipositivity:
Sebastian Baader, Notes on quasipositivity and combinatorial knot invariants, Université de Bâle (Switzerland), 2004.
Masaharu Ishikawa, Links of plane curves, fiberedness, quasipositivity and Jones polynomials, Université de Bâle (Switzerland), 2000.
Tomomi Kawamura, On unknotting numbers and four-dimensional clasp numbers of links, University of Tokyo, 2000.
Lenhard L. Ng, Invariants of Legendrian links, M.I.T., 2001.
Toshifumi Tanaka, Study on cobordism of quasipositive knots, Kyushu University (Japan), 1999.

Modular symbols reduction algorithm:
Paul Gunnells, The topology of Hecke correspondences, M.I.T. (1994).