Ph.D., Mathematics, University of Pennsylvania, PA, 2015
M.F.A., Poetry, New York University, New York, NY, 2010
AB, Mathematics, Harvard College, Cambride, MA, 2008
Knots, four-manifolds, singularities, branched covers, trisections, concordance
- Dihedral branched covers of four-manifolds Advances in Mathematics 332 (2018): 1-33.
- Wirtinger systems of generators of knot groups, with R. Blair, R. Velazquez, P. Villanueva. Communications in Analysis and Geometry, 28.2 (2020): 243-262.
- Symmetric quotients of knot groups and a filtration of the Gordian graph, with S. Baader. Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press (2017): 1-8.
- The dihedral genus of a knot, with P. Cahn. Algebraic and Geometric Topology 20.4 (2020): 1939-1963.
- Signatures of topological branched covers, with C. Geske, J.L. Shaneson. International Mathematics Research Notices. DOI: https://doi.org/10.1093/imrn/rnaa184
- Coxeter groups and meridional rank of links, with S. Baader, R. Blair. Mathematische Annalen. DOI: https://doi.org/10.1007/s00208-020-02124-z