PApers
"Augmentations, Fillings, and Clusters for 2-Bridge Links," O. Capovilla-Searle, J. Hughes, D. Weng (2023) Preprint. Available at arXiv:2308.11858
"On Newton Polytopes of augmentations of the Legendrian dga", O. Capovilla-Searle, R. Casals. (2023). To appear in the Bulletin London of Mathematical Society. Available at arXiv:2306.03888
"Lagrangian cobordisms of positroid links." J. Asplund, Y. Bae, O. Capovilla-Searle, M. Castronovo, C. Leverson, A. Wu. (2023) Preprint. Available at arXiv:2305.16232
“ Obstructions to reversing Lagrangian surgery in Lagrangian fillings”, O. Capovilla-Searle, N. Legout, M. Limouzineau, E. Murphy, Y. Pan, L. Traynor. (2022) To appear in Journal of Symplectic Geometry. Available at arXiv:2207.13205
"Exact Lagrangian tori in symplectic Milnor fibers constructed with fillings ," O. Capovilla-Searle. (2022) Preprint. Available at arXiv.2201.03081
"Exact Lagrangian fillings of Legendrian links and Weinstein 4-manifolds", O. Capovilla-Searle (2021) ( PhD thesis)
An Introduction to Weinstein Handlebodies for Complements of smoothed Toric divisors", B. Acu, O. Capovilla-Searle, A. Gadbled, A. Marinkovic, E. Murphy, L. Starkston, A. Wu. Research directions in Symplectic and Contact Geometry and Topology, Springer, edited by B. Acu, C. Cannizzo, D. McDuff, Z. Myer, Y. Pan, and L. Traynor (2021). Available also at arXiv: 2002.07983.
“Weinstein Handlebodies for complements of smoothed toric divisors”, B. Acu, O. Capovilla-Searle, A. Gadbled, A. Marinkovic, E. Murphy, L. Starkston, A. Wu. (2020). Accepted for publication by the Memoirs of the AMS. Available at arXiv:2012.08666
"Non-orientable Lagrangian Endocobordisms”, O. Capovilla-Searle, L. Traynor. Pacific J. Math. 285 (2016) 319-343. Available at arXiv:1508.02609
"Bounds on Uber and Petal Numbers”, C. Adams, O. Capovilla-Searle, J. Freeman, D. Irvine, S. Petti, D. Vittek, A. Weber, S. Zhang. Journal of Knot Thoery and its Ramifications, Volume No.24, Issue No. 2 (2015). Available at arXiv:1311.0526
"Multi-crossing Number for Knots and the Kauffman Bracket Polynomial”, C. Adams, O. Capovilla-Searle, J. Freeman, D. Irvine, S. Petti, D. Vittek, A. Weber, S. Zhang. Mathematical Proceedings of the Cambridge Philosophical Society, 1-32. (2016) Available at arXiv:1407.4485