Papers
- An unexpected rational blowdown.
Joint with Marton Beke and Olga Plamenevskaya.
arXiv:2510.00115
- Sandwiched singularities and nearly Lefschetz fibrations
Joint with Olga Plamenevskaya.
arXiv:2507.21293
- Contact 3-manifolds that admit a non-free toric action
Joint with Aleksandra Marinković.
Bulletin of the LMS Volume 58, Number 1, e70259, 2026.
arXiv:2501.09386
- Properties of contact toric structures and concave boundaries of linear plumbings
Joint with Aleksandra Marinković, Jo Nelson, Ana Rechtman, Shira Tanny, and Luya Wang.
To appear in Transactions of the AMS
arXiv:2501.08451
- The contact cut graph and a Weinstein L-invariant
Joint with Nickolas Castro, Gabriel Islambouli, Jie Min, Sumeyra Sakalli, and Angela Wu.
Transactions of the LMS Volume 12, Number 1, e70020, 2025.
arXiv:2408.05340
- Multisections with divides and Weinstein 4-manifolds.
Joint with Gabriel Islambouli.
J. Sympl. Geom. Volume 22, Number 2, pp. 223-266, 2024.
arXiv:2303.00906
- Rational cuspidal curves and symplectic fillings.
Joint with Marco Golla.
J. Sympl. Geom. Volume 22, Number 5, pp. 1109-1178, 2024.
arXiv:2111.09700
- Weinstein handlebodies for complements of smoothed toric divisors.
Joint with Bahar Acu, Orsola Capovilla-Searle, Agnes Gadbled, Aleksandra Marinkovic, Emmy Murphy, and Angela Wu.
Memoirs of the AMS. Volume 309, Number 1561, 2025.
arxiv:2012.08666
- Unexpected Stein fillings, rational surface singularities, and plane curve arrangements.
Joint with Olga Plamenevskaya.
Geometry & Topology Voluem 27, number 3, pp. 1083-1202, 2023.
arxiv:2006.06631
Video of my talk in the Symplectic Zoominar
- Symplectic 4-manifolds admit Weinstein trisections.
Joint with Peter Lambert-Cole and Jeffrey Meier.
Journal of Topology. 14 (2021) no. 2, 641-673.
http://dx.doi.org/10.1112/topo.12192
arxiv:2004.01137
Video of my talk in the Virtual Symplectic Geometry Seminar
- An introduction to Weinstein handlebodies for complements of smoothed toric divisors.
Joint with Bahar Acu, Orsola Capovilla-Searle, Agnes Gadbled, Aleksandra Marinkovic, Emmy Murphy, and Angela Wu.
Research in Symplectic and Contact Geometry and Topology. Association for Women in Mathematics Series.
arxiv:2002.07983
- The symplectic isotopy problem for rational cuspidal curves.
Joint with Marco Golla
Compositio Mathematica. 158 (7) 2022, 1595-1682.
arxiv:1907.06787
- A new approach to the symplectic isotopy problem.
Journal of Symplectic Geometry 18.3 (2020) 939-960. doi.org/10.4310/JSG.2020.v18.n3.a11
arxiv:1709.02544
- Arboreal singularities in Weinstein skeleta.
Selecta Mathematica (N.S.) 24 (2018), no. 5, 4105-4140. https://link.springer.com/article/10.1007/s00029-018-0441-z
arxiv:1707.03446
Video of my talk at the IAS
- Topological realizations of line arrangements.
Joint with Daniel Ruberman
International Mathematics Research Notices. IMRN 2019 no. 8, 2295-2331. doi.10.1093.rnx190
arxiv:1606.01776
Video of my talk at the Spring Lecture Series
- Comparing star surgery to rational blow-down.
Journal of Gökova Geometry Topology. GGT 10 (2016), 60-79.
arxiv:1407.3293
- Surgery along star shaped plumbings and exotic smooth structures on 4-manifolds.
Joint with Çağri Karakurt.
Algebraic and Geometric Topology. 16(3), 1585-1635, 2016.
arxiv:1402.0801.
Video of my talk at the IAS
- Symplectic fillings of Seifert fibered spaces.
Transactions of the American Mathematical Society, 367(8): 5971--6016, 2014.
arxiv:1304.2420
Also see my thesis:
Classifications and applications of symplectic fillings of Seifert fibered spaces over S^2
- Genus two mutant knots with the same dimension in knot Floer and Khovanov homologies.
Joint with Allison Moore.
Algebraic and Geometric Topology, 15(1), 43--63, 2015.
arxiv:1204.2524.
- The Khovanov homology of (p,-p,q) pretzel knots.
Journal of Knot Theory and its Ramifications, 21(5):1250056, 14, 2012.
arxiv 0909.1853.
- The spiral index of knots.
Joint with Colin Adams, Rachel Hudson, Ralph Morrison, William George, Samuel Taylor, and Olga Turanova.
Mathematical Procedings of the Cambridge Philosophical Society, 149(2):297--315, 2010.
arxiv:0903.0393
Expository