(with M. Hutchings) S^1-equivariant contact homology for dynamically convex contact forms
, in preparation.
(with L. Digiosia, H. Ning, M. Weiler, Y. Yang)* Symplectic embeddings of four-dimensional polydisks into ellipsoids
, 27 pages, arxiv:2010.06687, submitted.
(with M. Weiler) Embedded contact homology of prequantization bundles
, 85 pages, arxiv:2007.13883, submitted.
(with M. Hutchings) S^1-equivariant contact homology for hypertight contact forms
, 88 pages, arXiv:1906.03457, submitted.
(with M. Hutchings) Axiomatic S^1 Morse-Bott theory
, Algebraic & Geometric Topology 20 (2020) 1641-1690.
Automatic transversality for contact homology II: filtrations and computations
, Proceedings of the London Mathematical Society. Volume 120, Issue 6, 853-917
(with K. Christianson)* Symplectic embeddings of 4-dimensional polydisks into balls
, Algebraic & Geometric Topology 18 (2018) 2151-2178.
(with L. Abbrescia, I. Huq-Kuruvilla, & N. Sultani)* Reeb Dynamics of the Link of the A_n Singularity
, Involve Vol. 10 (2017), No. 3, 417-442.
(with M. Hutchings) Cylindrical contact homology for dynamically convex contact forms in three dimensions
, J. Symp. Geom. 14, No, 4, 983-1012, 2016.
From Dynamics to Contact and Symplectic Topology and Back
, The Institute for Advanced Study Newsletter, Summer 2016,
Automatic transversality for contact homology I: Regularity
, Abh. Math. Semin. Univ. Hambg. 85 (2015), no. 2, 125-179.
* denotes a paper written with undergraduate research mentees.