(w/ F. C. Köse) On the symmetric braid index of ribbon knots. 2024. arXiv
(w/ A. Wand) Stein-fillability and positivity in the mapping class group. 2024. arXiv
(w/ P. Feller) The twisting number of a ribbon knot is bounded below by its doubly slice genus. 2024. arXiv
(w/ J. Simone) On chain link surgeries bounding rational homology balls and χ-slice 3-braid closures. 2024. Accepted for publication in Tran. AMS. arXiv
(w/ A. Wand) Stein-fillable open books of genus one that do not admit positive factorisations. Math. Res. Lett. 30.3 (2023), pp. 709–719; arXiv
On slice alternating 3-braid closures. Pacific J. Math. 324.1 (2023), pp. 49–70; arXiv
Code accompanying the 'On chain link surgeries bounding rational homology balls and χ-slice 3-braid closures' paper (w/ J. Simone):
SageMath scripts for computing twisted Alexander polynomials accompanying the 'On slice alternating 3-braid closures' paper:
Some people have previously found these documents useful. They almost certainly contain mistakes, so use at your own risk:
Notes from my undergraduate summer project on Frobenius algebras and 2D TQFTs
2017/18 SMSTC solutions: Geometry and Topology (Assignment 1, Solutions 1; Assignment 2, Solutions 2), Algebras and Representation Theory (Assignment 1, Solutions 1; Assignment 2, Solutions 2), Manifolds (Assignment 1, Solutions 1; Assignment 2, Solutions 2)
Part III essay 'Rational knots and the slice-ribbon conjecture'