Research

Published/Accepted:

1. Generic hyperbolic knot complements without hidden symmetries (with Eric Chesebro and Jason DeBlois), Communications in Analysis and Geometry, Volume 32 (2024) Number 1, 5 September 2024, pp. 255-296, https://dx.doi.org/10.4310/CAG.240905040909, arXiv version: https://arxiv.org/abs/1910.04712

2. Dehn surgery and hyperbolic knot complements without hidden symmetries (with Eric Chesebro, Jason DeBlois, Neil Hoffman, Christian Millichap and William Worden), International Mathematics Research Notices, Volume 2023, Issue 6, March 2023, Pages 5293–5351, https://doi.org/10.1093/imrn/rnac018, arXiv version: https://arxiv.org/abs/2009.14765

3. Mixed-platonic 3-manifolds (with Eric Chesebro, Michelle Chu, Jason DeBlois, Neil Hoffman and Genevieve Walsh), To appear in Algebraic & Geometric Topology, arXiv version: https://arxiv.org/abs/2407.01708 

Preprint:

4. Hidden symmetries and Dehn surgery on tetrahedral links, http://arxiv.org/abs/2406.08456 (Associated codes and files)

In preparation: 

5. Orbifolds commensurable with the figure-eight knot complement: theory (with Jason DeBlois, H. Anuradha Ekanayake, Mark Fincher, Tyler Gaona and Arshia Gharagozlou)

6. Orbifolds commensurable with the figure-eight knot complement: practice (with Jason DeBlois, H. Anuradha Ekanayake, Mark Fincher, Tyler Gaona and Arshia Gharagozlou)

In progress:

7. Sisters (with Jason DeBlois)