Zion Canyon July 2019 with TEM.
Papers and Preprints
- Fillable contact structures from positive surgery (joint with T. Mark)
- On contact type hypersurfaces in 4-space (joint with T. Mark)
- Homology spheres bounding acyclic smooth manifolds and symplectic fillings. (joint with J. Etnyre)
Advances in Geometry 22(1), 9-22, 2022.
- Mazur-type manifolds with L-space boundary (joint with J. Conway)
Algebraic and Geometric Topology, 20(1), 1-27, 2020.
- Symplectic fillings, contact surgeries, and Lagrangian discs. (joint with J. Conway and J. Etnyre.)
- Obstructing pseudoconvex embeddings and contractible Stein fillings for Brieskorn spheres. (joint with T. Mark.)
- Naturality of Heegaard Floer invariants under positive rational contact surgery (joint with T. Mark.)
- Hyperbolic rational homology spheres not admitting fillable contact structures. (joint with A.Kaloti,)
Math Research Letters, 20(4), 787-803, 2013.
- Legendrian and transverse cables of positive torus knots, (joint with J. Etnyre and D. LaFountain,)
Projects in progress
- Legendrian knots in overtwisted manifolds.
- Contact geometry of small Seifert FIbered Manifolds.
- Non-thickenable embeddings of torus knots in lens spaces and its applications.
Acknowledgement
My research is supported by an NSF CAREER award (DMS 2144363), NSF Standard Award (DMS 2105525) and Simons Foundation Award (636841, BT).