Most of my active research projects are about planar metrics.
What property does planar metrics have that makes them special?
What advantages can we take to construct better and more efficient algorithms?
Can we represent planar metrics in succinct forms, while preserving the distances exactly or approximately?
Curves and Graphs on Surfaces
Untangling Planar Graphs and Curves by Staying Positive,
with Santiago Aranguri and
Dylan Fridman,
SODA 2022.