Papers and Preprints

• Complementary legs and symplectic rational balls (joint with J. Etnyre and B. Ozbagci)

Arxiv 2505.04513

• Knotted solid tori in contact manifolds (joint with J. Etnyre and Youlin Li)

Arxiv: 2502.15165

• Symplectic rational homology ball fillings of Seifert fibered spaces (joint with J. Etnyre and B. Ozbagci).

ArXiv: 2408.09292.

• Unknotted curves on genus one Seifert surfaces of Whitehead doubles (joint w/ S. Dey, V. King, C. Shaw, B.Trace)

Pacific Journal of Mathematics, 330(1), 123-156, 2024.

• ​Fillable contact structures from positive surgery (joint with T. Mark)

Transactions of American Mathematical Society, 11, 1098-1137, 2024.

• On contact type hypersurfaces in 4-space   (joint with T. Mark)​​

Inventiones Mathematicae, 228, 493-534, 2022.

• Homology spheres bounding acyclic smooth manifolds and symplectic fillings.   (joint with J. Etnyre)

Michigan Mathematical Journal, 73(4) 719-734, 2023.

• Stein domains in C^2 with prescribed boundary.

Advances in Geometry 22(1), 9-22, 2022.

• Mazur-type manifolds with L-space boundary  (joint with J. Conway)

Math Research Letters, 27(1), 35-42, 2020.

• Tight small Seifert fibered spaces with e0=-2. 

Algebraic and Geometric Topology, 20(1), 1-27, 2020.

• Symplectic fillings, contact surgeries, and Lagrangian discs.  (joint with J. Conway and J. Etnyre.)

International Mathematics Research Notices, 2021(8), 6020-6050, 2021

• Obstructing pseudoconvex embeddings and contractible Stein fillings for Brieskorn spheres. (joint with T. Mark.)

Advances in Mathematics 335, 878-895, 2018 

• Naturality of Heegaard Floer invariants under positive rational contact surgery  (joint with T. Mark.)

Journal of Differential Geometry, 110(2), 281-344, 2018

• Hyperbolic rational homology spheres not admitting fillable contact structures.  (joint with A.Kaloti,)

Math Research Letters 24(6), 1693-1705, 2017. 

• On the Legendrian and transverse classification of cablings.

Math Research Letters, 20(4), 787-803, 2013. 

• Legendrian and transverse cables of positive torus knots, (joint with J. Etnyre and D. LaFountain,)

Geometry & Topology, 16, 1639-1689, 2012.

Acknowledgement

My research is supported by an NSF CAREER Award (DMS 2144363),  NSF Standard Award (DMS 2105525),  Simons Foundation Collaboration Award (636841, BT) and 2023 Simons Fellows in Mathematics Award.