3 papers
math.SG2026
Some cute applications of Lagrangian cobordisms towards examples in quantitative symplectic geometry
Jeff Hicks, Cheuk Yu Mak
We provide some constructions using Lagrangian cobordisms that improve known examples for some symplectic squeezing problems. Additionally, we prove a flexibility result that Lagra…
math.CV2025
Reverse isoperimetric inequalities for Lagrangian intersection Floer theory
Jean-Philippe Chassé, Jeff Hicks, Yoon Jae Nick Nho
We extend Groman and Solomon's reverse isoperimetric inequality to pseudoholomorphic curves with punctures at the boundary and whose boundary components lie in a collection of Lagr…
math.SG2025
Relating categorical dimensions in topology and symplectic geometry
Andrew Hanlon, Jeff Hicks, Oleg Lazarev
We study several notions of dimension for (pre-)triangulated categories naturally arising from topology and symplectic geometry. We prove new bounds on these dimensions and raise s…