Sabetta Matsumoto, Saul Schleimer, Henry Segerman

Statement

I (Saul) am a geometric topologist, working at the University of Warwick. My other interests include combinatorial group theory and computation. I am especially interested in the interplay between these fields and additionally in visualisation of ideas from these fields. I (Henry) am an associate professor in the department of mathematics at Oklahoma State University. My research interests are in three-dimensional geometry and topology, and in mathematical art and visualization. I (Sabetta) am an associate professor in the School of Physics at Georgia Institute of Technology. My physics research centers around the relationship between geometry and material properties in soft systems, including liquid crystals, 3D printing and textiles.

Films

Soap films on wire frames famously form minimal surfaces. Soap films can meet in threes along edges, and those edges can meet in fours at vertices. These combinatorics are exactly dual to the combinatorics of triangulations. We explore this relationship, and also the ways in which foams and triangulations can change.