Research
My CV
Talk videos and slides, and posters:
Slides from a talk on A projection from filling currents to Teichmuller space .
A talk on Tesselations from long geodesics on surfaces at the conference on the Mathematical Legacy of Maryam Mirzakhani at Stanford in 2018, recorded by Zala films.
Slides from a talk on Applications of a combinatorial model for curves on surfaces from 2016. This includes counting results and the construction of metrics where curves are short.
A poster about Non-simple geodesics on surfaces I made in Inkscape for an ICERM workshop on Low-dimensional Topology, Geometry, and Dynamics in 2013. If you're curious about the underlying svg file, it's here.
A talk on Counting non-simple closed curves on surfaces given at the Geometry, Groups and Dynamics/GEAR Seminar in 2014. (If you want to amuse yourself, turn on the automatically generated subtitles.)
Publications and preprints:
Click on the title for the journal version!
- Sapir, J. (2022) An extension of the Thurston metric to projective filling currents. arXiv:2210.08130.
- Sapir, J. (2022) A length comparison theorem for geodesic currents. arXiv:2210.00925.
- Dozier, B., Sapir, J. (2022) Simple vs non-simple loops on random regular graphs. arXiv:2209.11218.
- Hensel, S., Sapir, J. (2021). A projection from filling currents to Teichmuller space. arXiv:2109.14768. Accepted for publication in Proceedings of the American Mathematical Society.
- Dozier, B., Sapir, J. (2021). Coarse density of subsets of moduli space. Annales de l'Institut Fourier, Online first, 14 p. Arxiv version
- Athreya, J., Lalley, S., Sapir, J., Wroten, M. (2021). Local geometry of random geodesics on negatively curved surfaces. Annales Henri Lebesgue. 4. 187-226. Arxiv version
- Sapir, J. (2020). A Birman-series type result for geodesics with infinitely many self-intersections. Transactions of the American Mathematical Society, 1–. Arxiv version
- Aougab, T., Gaster, J., Patel, P., & Sapir, J. (2017). Building hyperbolic metrics suited to closed curves and applications to lifting simply. Mathematical Research Letters, 24(3), 593–617. Arxiv version
- Sapir, J. (2016). Orbits of non-simple closed curves on a surface. arXiv:1602.09093
- Sapir, J. (2016). Bounds on the number of non-simple closed geodesics on a surface. International Mathematics Research Notices, 2016(24), 7499-7545. Arxiv version
- Sapir, J. (2015). Lower bound on the number of non-simple closed geodesics on surfaces. Geometriae Dedicata, 184, 1-25. Arxiv version
- Bleak, C., Bowman, H.E., Lynch, A.G., Graham, G., Hughes, J., Matucci, F., & Sapir, E. (2013). Centralizers in the R. Thompson group Vn. Groups, Geometry, and Dynamics, 7, 821-865. Arxiv version
- Chestnut, J., Sapir, J., & Swartz, E. (2008). Enumerative properties of triangulations of spherical bundles over $S^1$. Eur. J. Comb., 29, 662-671. Arxiv version