Papers
- Appendix to Stein fillings vs. Milnor fibers
Appendix joint with Olga Plamenvskaya. Article by Inanc Baykur, Andras Nemethi, and Olga Plamenevskaya.
arXiv:2403.12216
- Multisections with divides and Weinstein 4-manifolds.
Joint with Gabriel Islambouli.
To appear in J. Sympl. Geom.
arXiv:2303.00906
- Rational cuspidal curves and symplectic fillings.
Joint with Marco Golla.
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.
To appear in Memoirs of the AMS.
arxiv:2012.08666
- Unexpected Stein fillings, rational surface singularities, and plane curve arrangements.
Joint with Olga Plamenevskaya.
To appear in Geometry & Topology
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