Publications

Non-looseness of boundaries of Legendrian ribbons

joint with K.L. Baker, (2023) submitted.

Strongly exceptional Legendrian connected sum of two Hopf links

joint with Y. Li, (2023) submitted.

Contact Surgery Numbers

joint with J. B. Etnyre, M. Kegel, (2022) to appear in the Journal of Symplectic Geometry.

Real tight contact structures on lens spaces and surface singularities,

joint with F. Öztürk, Journal of Topology and Analysis, (2023), https://doi.org/10.1142/S1793525323500139.

Contact Surgery Graphs

joint with M. Kegel, Bulletin of the Australian Mathematical Society, (2022), https://doi.org/10.1017/S0004972722000375.

Minimal number of singular fibers in a nonorientable Lefschetz fibration

joint with B. Ozbagci Geometriae Dedicata (2022) 216:4, https://doi.org/10.1007/s10711-021-00666-3.

Legendrian Knots in Contact 3-Manifolds

Extended Abstracts GEOMVAP 2019, 43–47, (2021).

L-space knots with tunnel number >1 by experiment

joint with C. Anderson, K. L. Baker, X. Gao, M. Kegel, K. Le, K. Miller, G. Sangston, S. Tripp, A. Wood, A. Wright, Experimental Mathematics, (2021), https://doi.org/10.1080/10586458.2021.1980753

Legendrian Hopf links

joint with H. Geiges, Quarterly Journal of Mathematics, 71(4) (2020), 1419–1459.

Legendrian torus knots in lens spaces

Turk. J. Math. 42(3) (2018), 936–948.

From automorphisms of Riemann surfaces to smooth 4-manifolds

joint with A. Beyaz, P. Naylor, B. D. Park, Mathematical Research Letters, 27(3) (2020), 629–645.

Exceptional Legendrian torus knots

joint with H. Geiges, Int. Math. Res. Not. IMRN 2020(22) (2020), 8786–8817.

Legendrian lens space surgeries

joint with H. Geiges, Michigan Math J. 67(2) (2018), 405–422.

On the support genus of Legendrian knots

Archiv der Mathematik, 116(4) (2021), 469–479.

On overtwisted contact surgeries

Bull. Aust. Math. Soc. 98(2018), 144–148.

Non-looseness of non-loose knots

joint with K. L. Baker, Algebraic & Geometric Topology 15(2) (2015), 1031–1066.

Legendrian rational unknots in lens spaces

joint with H. Geiges, J. Symp. Geom. 13(1) (2015), 17–50.

Planar open book decompositions of 3-manifolds

RMJM 44(5) (2014), 1621–1630.  

On sections of genus two Lefschetz fibrations

Pacific J. Math. 248(1) (2010), 203–216.

Invariants of Legendrian knots from open book decompositions

Int. Math. Res. Not. IMRN 2010(10) (2010), 1831–1854.