Inhyeok Choi / 최인혁 (He/Him)

Beijing, China. Courtesy of Ryokichi Tanaka. Another shot.

I have no good answer. I do think about some problems in group theory, low-dimensional topology, dynamics, and probability theory. Examples include:

• interesting subgroups of some class of groups;
• statistics of objects on hyperbolic surfaces/graphs/trees/CAT(0) cube complexes;
• random walks, escape rate and asymptotic entropy;
• percolation on Cayley graphs other than Euclidean grids;
• limit sets and orbit distribution of Kleinian groups;
• Benjamini-Schramm convergence;
• bounded cohomology of hyperbolic and non-hyperbolic groups, and
• interesting examples of groups.

You can see that there is a single keyword encompassing all of these: groups. Hence I am deeply interested in groups. Put in a simpler way, I'm rather interested in objects and phenomena that entail high symmetry.