Austin Christian

I'm interested in contact and symplectic topology, and I enjoy learning about all kinds of geometry and topology.

Here is some original work (arXiv links):

• Persistent Legendrian contact homology in \(\mathbb{R}^3\) (joint with M. Basu, E. Clayton, D. Irvine, F. Mooers, and W. Shen)
• Torus bundle Liouville domains are stably Weinstein (joint with J. Breen)
  Here's a YouTube link for a talk I gave about this in the Minnesota Differential Geometry and Symplectic Topology Seminar
• Some applications of Menke's JSJ decomposition for symplectic fillings , Trans. Amer. Math. Soc.376 (2023), no. 7, 4569-4604. (joint with Y. Li)
• On symplectic fillings of virtually overtwisted torus bundles, Algebr. Geom. Topol. 1 (2021), 469-505
• Splitting symplectic fillings (joint with M. Menke)
• A JSJ-type decomposition theorem for symplectic fillings (joint with M. Menke)