My research lies in contact and symplectic topology and h-principles. I am also interested in low-dimensional topology, diffeomorphism groups, and embedding spaces.
Engel CR submanifolds of C^3. (j.w. Álvaro del Pino and Wei Zhou). 2025.
Convex disks with Legendrian boundary in overtwisted contact 3-manifolds. (j.w. Dahyana Farias, Francisco Presas and Guillermo Sánchez-Arellano). 2025. Submitted.
Grasper families of spheres in S^2 x D^2 and barbell diffeomorphisms of S^1 x S^2 x I. (j.w. David Gay, Daniel Hartman and Danica Kosanović). 2024. Submitted.
A bypass in the middle. (j.w. Dahyana Farias). 2024. Submitted.
Parametric satellites and connected-sums in the space of Legendrian embeddings. (j.w. Javier Martínez-Aguinaga and Francisco Presas). 2024. Submitted.
Strongly overtwisted contact 3-manifolds. 2024. Accepted for publication in Journal of Topology.
Spaces of Legendrian cables and Seifert fibered links. (j.w. Hyunki Min) 2023. Submitted.
Exotic Dehn twists on sums of two contact 3-manifolds. (j.w. Juan Muñoz-Echániz) Geom. Topol. 29 (2025), no. 3, 1571-1618.
The homotopy type of the contactomorphism group of tight contact 3-manifolds, Part I. ( (j.w. Javier Martínez-Aguinaga and Francisco Presas) 2021 Submitted.
A remark on the contactomorphism group of overtwisted spheres. (j.w. Fabio Gironella) C. R. Math. Acad. Sci. Paris 358 (2020), no. 2, 189–196.
The fundamental group of formal Legendrian and horizontal embedding spaces. (j.w. Javier Martínez-Aguinaga and Francisco Presas) Algebr. Geom. Topol. 20 (2020), no. 7, 3219-3312.
Loops of Legendrians in Contact 3-manifolds. (j.w. Javier Martínez-Aguinaga and Francisco Presas) In Classical and Quantum Physics. Springer Proceedings in Physics., volume 229. Springer, Cham., 2019.