- Assistant Professor at SLU 2023-
- NSF Postdoc and Chauvenet Postdoc at WashU 2019-23
- PhD Yale 2019
- BA UC Berkeley 2013
- Full CV
- Here are some videos I find cool and inspiring:
- Here is some great reading material:
- Gallery of the Infinite by Richard Schwartz
- The Shape of Space by Jeffrey Weeks
- Euler's Gem by David Richeson
- On proof and progress in mathematics by William Thurston
- If you are considering asking me for a letter of recommendation, I would appreciate if you first read this excellent webpage written by Ravi Vakil and follow the advice there. In particular please ask me at least one month before the deadline, and be ready to send me all of your application materials. Thank you!
- SLU Geometry and Topology Seminar
- I coörganized the St. Louis Topology Conference (17-19 May 2024). The theme was foliations and flows in 3-manifolds. I designed the conference poster and t-shirt.
- Slides from a lightning talk about Endperiodic maps, splitting sequences, and branched surfaces (joint with Tsang) at Yair Minsky's 60th birthday conference in May 2023.
- A poster I made about the paper Endperiodic maps via pseudo-Anosov flows (joint with Minsky and Taylor). This was for a poster session at the workshop "Flexibility and Rigidity in Dynamical Systems" at the Simons Center in March 2022.
- NCNGT 2021 talk: "Limits of dilatations and depth one foliations." Video and slides.
- Slides from a talk I gave about the papers "Veering triangulations and the Thurston norm: homology to isotopy" and "A polynomial invariant of veering triangulations."
Research
arxiv // google scholar // mathscinet // orcid
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Transverse surfaces and pseudo-Anosov flows
With Yair Minsky and Samuel Taylor
Submitted 2024 // 48 pages // pdf -
Endperiodic maps, splitting sequences, and branched surfaces
With Chi Cheuk Tsang
Geometry & Topology, to appear // 113 pages // arxiv:2304.14481 // pdf -
Endperiodic maps via pseudo-Anosov flows
With Yair Minsky and Samuel Taylor
Submitted 2023 // 50 pages // arxiv -
Flows, growth rates, and the veering polynomial
With Yair Minsky and Samuel Taylor
Ergodic Theory and Dynamical Systems Vol. 43, no. 9, pp. 3026-3107. 2023. journal, arxiv -
A polynomial invariant for veering triangulations
With Yair Minsky and Samuel Taylor
Journal of the European Mathematical Society Vol. 6, no. 2, pp. 731-788. 2024. journal, arxiv -
Veering triangulations and the Thurston norm: homology to isotopy
Advances in Mathematics, Volume 396, paper 108102, pp. 1-53, 2022. journal, arxiv. -
Stable loops and almost transverse surfaces
Groups, Geometry, and Dynamics, Vol. 17, No. 1, pp. 35-75, 2023. journal version -
Taut branched surfaces from veering triangulations
Algebraic and Geometric Topology, Vol. 18, pp. 1089-1114, 2018. arxiv
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On symplectic capacities of toric domains
With Matthew McMillan and Emmanuel Tsukerman
Involve Vol 8 (2015), 665-676. arxiv -
Knot projections with a single multi-crossing
With C. Adams, T. Crawford, B. DeMeo, A. Tong Lin, M. Montee, S. Park, S. Venkatesh, and F. Yhee
Journal of Knot Theory and its Ramifications Vol. 24 No. 3, 2015. arxiv -
Perfect state transfer on quotient graphs
With E. Fredette, J. Fuller, M. Opperman, C. Tamon, and A. Tollefson
Quantum Information and Computation Vol. 12 Nos. 3&4, 2012. arxiv
The picture of me at the top of the page was taken by Stefan Friedl.
This research is/was supported by the National Science Foundation under DMS 2405453, DMS 2013073, and DGE 112249.