I have recently moved to the University of British-Columbia. My advisor at UT was Cameron Gordon. I'm interested in 3- and 4-dimensional topology, especially using smooth obstructions such as Donaldson's theorem and those from Heegaard Floer homology to answer questions about knots and 3-manifolds. I am also interested in triangulations of 3- and 4-manifolds.
Before coming to Austin, I studied at the University of Melbourne in Australia where I completed a Master of Science under the supervision of Craig Hodgson.
Smoothly embedding Seifert fibered spaces in S^4, joint with Duncan McCoy.
( arXiv )
The realization problem for non-integer Seifert fibered surgeries, joint with Duncan McCoy.
( arXiv )
On Seifert fibered spaces bounding definite manifolds, joint with Duncan McCoy.
( arXiv )
Triangulating Cappell-Shaneson homotopy 4-spheres -- MPhil Thesis (2017)
( pdf )
The classification of quasi-alternating Montesinos links, Proc. Amer. Math. Soc. 146 (2018), 4047-4057.
( arXiv | journal )
Non-geometric veering triangulations -- MSc thesis.
( pdf )
Embedding 3-manifolds in the 4-sphere. (beamer slides)
University of Texas at Austin - Candidacy talk, May 2nd 2016.